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 4 4 5 5 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 8 9 9 8 8 8 7 7 8 8 9 9 10 9 7 6 6 6 7 8 9 11 13 13 12 12 11 12 12 12 12 13 13 14 13 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 7 6 7 9 10 11 11 10 8 6 5 6 7 8 9 10 11 12 12 11 9 9 10 11 11 12 14 15 15 13 11 8 6 5 5 5 6 6 7 8 11 12 13 12 10 7 7 7 8 8 8 9 9 7 6 7 7 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 7 7 7 7 nan
nan 2 2 3 4 5 6 6 7 7 7 8 8 7 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 7 7 8 9 8 7 7 8 9 10 10 10 9 8 6 5 5 5 5 6 6 7 9 9 9 8 7 9 10 11 11 12 13 12 10 8 7 6 6 6 6 7 8 8 9 10 12 13 14 13 11 9 8 8 7 7 8 7 6 5 5 6 6 7 8 9 9 9 9 10 11 12 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 7 7 6 7 7 7 7 6 nan
nan -0 1 2 3 5 6 6 6 7 8 8 8 8 7 7 7 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 6 5 4 4 5 5 6 7 8 8 8 7 7 8 9 9 10 9 9 8 6 6 6 7 8 9 9 10 10 9 9 10 10 11 12 12 11 9 8 7 7 7 8 7 5 5 5 6 7 8 10 10 10 9 10 12 13 13 12 11 10 10 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 nan
nan -1 -0 1 2 4 5 6 6 7 8 9 9 8 7 6 7 8 9 9 9 8 8 9 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 7 8 8 8 7 7 8 9 10 9 9 8 7 7 7 7 8 9 9 9 9 10 11 11 12 12 11 11 11 12 13 13 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 8 6 6 6 5 6 7 8 9 9 9 9 8 7 8 9 9 9 8 7 6 5 6 7 8 9 10 10 9 8 8 8 8 8 8 9 9 9 8 8 7 8 9 8 7 5 6 7 9 11 11 11 9 8 8 11 13 13 11 11 10 10 10 10 10 10 9 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 nan
nan 2 2 2 3 4 5 6 7 7 8 9 9 8 6 5 5 7 8 9 10 9 9 8 9 9 9 9 8 8 8 7 8 8 7 7 6 7 7 7 7 8 9 8 7 7 9 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 10 11 11 10 10 9 10 11 12 12 12 12 12 13 13 13 12 11 11 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 7 6 6 7 8 10 10 10 9 7 7 8 9 9 9 9 8 6 5 5 7 8 10 10 8 6 6 6 6 6 6 7 7 8 9 10 9 10 10 10 8 7 7 9 11 12 11 9 8 8 8 10 11 11 10 11 12 12 11 9 8 7 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 nan
nan 7 6 5 5 6 7 7 8 8 9 9 9 8 7 5 5 6 7 8 9 9 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 6 6 6 7 8 8 8 7 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 11 11 12 13 13 13 13 12 12 12 13 13 13 12 12 12 12 12 12 13 14 14 14 13 13 12 11 11 11 10 9 8 7 7 8 9 9 9 8 6 6 6 7 9 10 10 9 7 5 5 6 8 10 11 9 7 6 5 5 6 6 6 6 7 8 10 10 10 11 12 11 9 8 9 10 9 8 7 7 9 10 10 9 9 9 11 13 12 10 7 5 4 4 4 5 6 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 nan
nan 11 10 10 9 9 9 9 8 9 9 9 10 9 7 6 6 6 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 12 12 13 13 14 14 14 13 13 13 13 13 13 14 14 15 14 13 12 12 11 11 11 11 11 10 10 9 8 8 8 8 9 8 6 6 6 7 7 8 9 8 7 6 7 8 10 12 11 8 6 5 5 5 6 6 5 5 5 7 8 9 10 11 12 11 10 8 7 6 6 5 6 7 8 9 9 8 7 8 9 10 10 8 5 3 3 4 5 7 8 8 8 8 7 6 7 7 8 8 8 8 8 7 7 7 8 8 nan
nan 13 13 13 12 11 10 9 9 9 9 9 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 7 7 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 9 10 12 13 14 15 15 15 15 15 15 15 15 15 15 15 14 12 11 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 9 7 7 7 7 7 7 8 8 8 8 10 12 12 11 8 5 4 4 6 6 5 4 4 4 5 6 8 9 10 11 11 10 7 5 4 5 5 6 6 7 7 6 6 6 7 7 7 7 6 4 4 4 6 7 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 nan
nan 13 13 13 13 11 10 9 9 9 9 9 9 9 9 8 8 8 7 6 6 5 5 4 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 9 8 8 8 9 10 11 12 13 15 16 17 18 18 17 17 17 16 16 15 14 12 11 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 8 7 7 6 6 7 8 8 8 9 10 11 11 10 8 6 6 6 7 7 6 4 4 5 6 7 8 8 8 9 10 11 9 6 4 4 4 5 5 6 6 4 4 4 6 6 6 6 6 6 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 13 13 13 12 12 11 10 9 9 8 8 8 9 9 9 8 8 7 6 6 5 4 3 3 4 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 8 8 8 9 9 10 11 11 11 11 11 10 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 11 12 12 13 15 17 18 18 18 18 17 17 16 16 15 14 13 12 11 10 9 8 8 7 7 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 10 10 10 7 5 5 6 7 9 8 8 7 8 11 13 13 9 6 4 3 3 5 7 7 6 5 5 6 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 8 8 9 9 8 7 7 6 nan
nan 14 14 13 12 12 11 10 10 9 8 8 8 9 9 9 8 8 7 6 5 4 3 3 5 6 7 8 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 12 13 14 15 16 17 17 17 16 16 16 15 15 14 13 12 12 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 10 10 10 11 11 11 10 8 7 7 8 8 8 7 7 8 11 14 14 12 9 6 4 4 6 9 9 9 8 7 7 8 10 10 10 10 10 9 9 8 7 8 8 9 9 9 9 8 8 7 7 8 8 9 8 8 7 6 5 nan
nan 14 14 13 12 11 11 11 10 9 9 8 8 9 9 9 8 8 7 5 4 3 3 5 7 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 12 13 13 14 13 13 13 14 14 13 13 12 11 11 11 11 11 11 10 9 9 9 8 8 7 7 7 6 6 7 8 8 8 8 7 8 9 11 12 13 12 10 9 9 9 9 9 10 11 11 11 11 10 9 8 7 6 6 8 11 12 13 12 11 9 6 6 8 10 11 11 11 11 11 12 12 12 11 9 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 6 nan
nan 12 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 6 4 3 3 4 7 8 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 11 11 11 11 10 10 11 12 12 11 10 9 8 9 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 13 12 11 10 9 10 10 10 10 11 11 11 10 10 10 9 10 11 11 12 12 12 11 11 11 10 10 9 9 9 8 7 7 8 9 10 10 9 10 12 13 14 15 14 12 11 10 9 9 8 9 11 12 14 14 13 10 8 7 6 7 8 10 10 11 11 11 11 9 9 10 11 12 13 13 14 15 15 14 12 10 8 7 8 8 8 8 7 8 7 6 7 7 7 7 7 7 8 8 8 7 7 8 7 7 nan
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nan 9 9 8 9 9 9 10 10 10 10 9 9 8 7 6 5 5 5 5 6 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 10 11 11 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 8 6 5 5 6 6 7 7 8 9 9 10 10 9 8 8 8 9 10 11 12 14 16 16 17 17 18 20 22 22 22 21 20 19 17 16 15 15 15 16 17 16 16 17 18 18 18 18 19 20 19 17 15 13 12 11 10 9 8 8 8 8 9 10 10 9 9 10 11 10 9 9 11 12 12 11 11 11 11 12 11 11 10 10 10 12 12 12 10 7 6 5 4 4 4 4 3 2 2 3 4 5 7 8 8 9 nan
nan 10 10 9 9 10 10 10 10 10 10 9 9 8 6 5 5 5 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 8 8 9 10 11 10 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 6 5 4 5 6 7 7 7 8 8 9 10 10 10 9 8 8 9 9 10 11 12 14 15 15 16 17 19 20 21 20 18 16 14 13 12 11 10 11 12 12 13 13 13 14 14 15 16 16 16 16 14 13 12 10 10 10 10 9 9 8 9 10 11 11 11 11 11 11 10 9 9 10 11 11 11 10 9 9 10 10 11 11 10 9 10 11 11 10 8 6 4 3 3 4 4 2 1 1 2 4 6 7 8 8 8 nan
nan 11 11 11 11 11 11 11 10 10 9 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 11 11 10 9 8 9 9 10 11 9 8 7 8 8 8 8 8 7 7 8 8 9 8 9 9 8 7 5 4 3 4 5 5 6 6 6 7 7 9 10 10 10 9 9 9 9 9 10 11 12 12 13 13 14 14 15 15 14 13 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 13 12 12 12 12 12 11 10 11 11 11 10 10 10 11 12 12 13 13 12 11 10 9 9 10 10 11 10 9 9 9 9 9 11 12 11 10 9 9 10 9 8 6 5 4 4 4 3 1 1 2 4 6 7 7 7 8 7 nan
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nan 11 11 12 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 9 10 11 10 8 6 4 3 2 2 3 4 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 9 8 7 6 5 3 2 2 3 5 6 7 7 6 6 6 6 nan
nan 10 11 11 12 12 11 11 10 9 8 7 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 7 7 8 8 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 8 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 9 11 11 10 8 6 4 4 4 5 5 6 6 6 5 5 5 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 8 8 9 10 10 11 12 12 11 11 11 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 7 8 9 9 9 9 10 10 10 9 8 7 7 6 6 5 5 6 6 6 6 5 5 5 6 nan
nan 9 10 10 10 10 10 10 9 9 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 7 7 6 5 5 6 7 7 7 7 7 8 9 11 11 10 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 10 10 9 9 8 8 7 7 7 7 7 7 6 5 4 4 5 5 6 6 7 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 5 6 6 6 7 8 8 8 7 7 7 8 7 7 8 9 9 9 9 7 6 6 6 6 6 6 6 7 nan
nan 9 9 9 9 9 9 8 8 7 6 5 4 5 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 9 9 9 10 10 9 9 9 8 7 7 8 8 9 9 8 7 6 5 5 5 5 6 6 6 6 7 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 6 5 4 4 4 5 6 7 8 9 9 8 8 7 7 7 8 8 9 9 10 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 7 7 6 6 4 3 3 3 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 8 9 9 10 10 10 10 9 9 8 8 7 7 8 9 9 8 8 7 6 6 5 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 7 7 8 9 10 9 8 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 10 10 10 10 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 7 8 nan
nan 8 8 8 8 7 7 6 6 5 4 2 1 2 4 5 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 9 10 11 11 11 10 9 9 9 9 9 9 8 7 6 6 7 7 7 8 7 7 8 9 10 10 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 8 8 9 9 9 9 9 9 10 11 11 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 9 10 10 9 9 8 9 nan
nan 8 8 8 8 8 7 7 6 5 4 2 1 2 4 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 10 10 11 11 12 12 12 11 11 12 12 13 12 11 10 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 6 6 6 8 9 9 10 10 9 9 9 9 10 11 11 11 11 12 13 14 14 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 12 12 13 13 13 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 nan
nan 8 8 9 8 8 8 7 7 7 5 3 1 2 4 6 7 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 14 13 12 12 12 12 12 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 7 7 8 9 9 10 10 10 9 9 10 11 12 12 12 12 12 13 14 14 13 13 13 13 13 13 12 12 12 12 11 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 8 8 8 8 6 4 2 3 5 6 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 15 14 14 14 13 12 11 11 12 12 12 12 12 11 11 10 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 10 9 9 9 9 9 10 10 10 9 9 10 10 11 12 12 12 12 12 13 13 13 12 12 11 11 12 13 13 13 13 12 10 9 8 8 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 nan
nan 10 9 9 10 10 10 9 9 8 6 3 2 3 5 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 11 12 13 13 14 14 13 13 12 12 12 11 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 12 12 11 10 10 10 11 12 13 14 13 11 10 8 8 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 6 5 5 6 6 7 8 8 8 8 9 9 9 9 8 8 8 9 nan
nan 10 10 10 10 10 10 10 9 7 6 4 3 4 6 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 8 9 10 11 12 12 13 14 14 14 13 12 12 12 11 11 11 11 11 10 10 10 11 12 13 14 14 15 15 14 13 13 12 11 10 9 8 8 8 9 10 10 9 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 10 11 13 13 12 11 9 8 8 8 9 10 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 9 9 9 9 10 nan
nan 10 10 10 10 11 10 10 9 7 6 4 4 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 9 10 11 12 14 15 15 14 13 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 13 13 12 11 10 9 8 8 9 9 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 9 9 10 11 11 11 9 8 8 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 8 8 7 8 8 9 10 11 11 11 11 11 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 10 nan
nan 10 10 10 10 10 10 9 8 7 6 5 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 9 9 10 11 13 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 12 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 10 11 11 11 9 8 8 8 9 9 9 9 10 11 11 12 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 8 7 8 8 9 10 11 12 13 13 13 14 14 13 13 12 12 12 13 13 13 12 11 11 10 11 11 11 11 nan
nan 10 10 10 10 9 9 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 9 10 10 11 12 13 12 12 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 11 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 12 11 10 9 8 8 8 8 9 9 10 11 12 12 12 13 13 13 13 13 13 13 13 14 14 13 13 12 11 11 11 12 12 12 nan
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nan 11 11 10 9 8 6 5 5 5 6 7 8 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 12 12 12 12 11 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 11 12 12 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 11 nan
nan 13 12 11 10 9 7 5 4 5 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 9 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 nan
nan 14 13 12 12 10 9 7 5 5 6 6 7 8 8 8 9 9 9 8 7 7 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 nan
nan 14 13 13 13 12 11 9 7 7 7 7 7 7 8 8 8 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 11 10 10 10 10 10 10 10 10 11 12 11 11 10 10 10 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 10 10 9 9 9 9 nan
nan 13 13 13 13 12 11 10 8 8 7 7 8 8 8 9 9 8 8 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 11 11 10 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 10 10 9 9 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 10 10 10 11 11 10 10 10 9 9 10 10 nan
nan 12 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 8 7 8 8 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 10 10 nan
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nan 10 11 11 12 12 12 12 13 13 14 14 15 15 16 16 15 15 14 14 14 14 15 15 15 14 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 8 8 7 6 6 6 9 11 13 14 12 10 8 7 7 7 7 8 9 10 11 10 9 9 9 9 9 9 9 8 7 7 7 6 7 8 9 10 11 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 6 5 5 6 8 9 10 9 7 5 5 5 6 7 7 7 8 8 9 9 10 10 11 11 10 nan
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nan 9 10 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 12 11 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 10 9 8 8 7 8 9 11 12 12 11 10 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 9 8 8 7 7 8 9 10 11 11 11 12 11 10 9 8 9 10 11 11 10 10 10 11 11 10 9 9 9 8 7 6 6 5 5 6 6 5 6 6 6 6 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 nan
nan 10 10 11 11 12 13 13 12 12 12 11 11 11 12 12 11 11 11 11 12 13 13 13 12 12 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 10 9 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 9 10 10 11 11 12 12 11 9 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 11 12 12 13 12 12 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 10 9 9 9 10 9 9 9 9 10 9 8 8 8 9 10 11 11 10 10 10 11 11 12 11 10 10 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 10 9 8 8 7 7 7 6 6 5 5 6 8 9 10 10 11 11 12 11 10 9 9 9 10 11 11 11 12 12 12 11 11 11 11 11 12 11 10 9 8 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 8 7 6 6 6 5 5 5 6 6 7 nan
nan 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 8 9 11 11 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 10 9 8 8 7 7 7 6 6 5 5 5 7 8 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 6 5 4 4 4 4 5 6 nan
nan 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 12 12 12 12 11 11 11 11 10 9 9 8 8 8 9 9 10 10 10 10 10 9 10 11 12 13 13 13 13 13 13 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 10 9 9 10 10 11 12 11 10 9 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 8 7 7 7 6 5 5 5 5 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 8 7 6 5 4 4 4 4 6 7 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 11 11 11 10 10 9 9 9 8 9 9 9 10 10 10 11 10 10 10 11 13 14 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 9 10 10 10 10 11 11 10 9 8 7 8 9 10 11 10 9 9 8 8 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 6 6 4 4 4 5 7 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 11 10 10 9 9 8 8 8 8 8 8 8 8 9 10 9 8 7 5 5 5 5 6 7 8 nan
nan 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 15 15 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 7 9 10 11 11 9 8 8 8 8 8 9 9 10 9 8 7 7 8 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 10 9 9 8 7 7 7 6 4 3 3 4 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 10 10 8 7 6 6 6 7 7 8 9 nan
nan 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 14 14 14 13 13 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 11 10 9 9 10 11 12 11 9 9 9 9 9 8 9 9 10 10 9 7 7 8 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 10 9 8 7 7 6 5 3 3 3 5 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 nan
nan 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 7 7 7 8 9 9 10 10 10 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 11 12 11 11 11 10 10 10 9 9 9 10 11 11 10 10 9 9 9 9 10 11 11 11 11 12 11 11 11 11 12 12 12 11 10 9 9 9 9 9 10 10 11 11 10 9 8 8 9 9 10 11 11 12 11 11 10 10 11 11 11 9 8 9 10 11 11 9 8 7 7 5 4 3 3 4 6 6 7 7 7 6 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 8 9 10 11 11 10 8 7 7 8 9 9 9 9 8 9 9 nan
nan 12 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 7 6 6 6 6 8 9 9 10 10 11 12 12 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 9 10 11 12 13 12 10 9 8 8 8 9 11 12 12 13 12 11 11 11 12 12 10 9 8 9 12 12 11 9 8 7 6 6 4 4 4 4 5 6 5 4 4 5 6 7 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 8 8 10 11 12 12 10 9 9 9 9 9 9 10 10 10 10 11 nan
nan 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 7 7 7 7 8 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 10 9 8 9 10 10 10 9 9 10 11 12 13 12 11 10 9 8 8 9 10 11 12 13 13 12 12 12 13 14 13 10 8 8 10 11 11 10 9 8 7 7 6 5 5 5 5 5 4 3 3 4 5 6 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 nan
nan 13 13 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 11 11 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 8 7 7 8 9 10 9 9 9 10 11 11 11 11 10 10 10 9 9 10 10 11 12 13 13 13 12 13 14 15 15 13 11 8 8 9 9 9 9 8 8 7 7 6 6 6 5 5 3 3 3 3 4 5 6 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 9 10 11 11 11 9 8 7 7 8 10 11 11 11 11 12 12 13 13 13 nan
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nan 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 10 11 12 13 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 8 8 6 5 6 7 8 9 10 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 13 16 18 19 18 17 16 15 13 13 12 11 9 8 8 7 7 7 7 7 5 3 2 2 3 5 6 6 5 5 5 5 6 6 7 7 8 8 8 8 9 9 10 11 13 14 15 16 16 16 16 16 15 15 14 13 13 13 13 13 15 16 16 16 14 13 12 nan
nan 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 9 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 9 8 6 5 6 7 7 8 9 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 14 17 18 19 20 19 19 18 18 17 15 12 11 10 9 9 8 8 8 7 5 3 2 3 5 6 6 6 6 6 6 7 8 9 10 10 10 10 10 11 12 12 13 13 13 13 12 11 11 11 11 11 12 12 13 13 13 14 15 16 16 15 14 13 12 12 nan
nan 12 12 13 13 13 12 12 12 11 11 10 10 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 8 6 6 7 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 10 10 11 11 11 12 13 14 15 17 18 18 18 18 19 20 19 16 15 14 14 13 12 11 10 10 9 9 8 8 9 10 10 10 10 10 10 10 11 12 13 13 12 12 11 11 11 11 11 10 9 8 7 7 8 9 10 11 12 13 14 15 16 16 17 16 15 14 13 12 12 12 nan
nan 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 12 12 10 9 8 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 8 8 8 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 11 11 11 11 11 12 13 14 15 15 15 16 17 19 19 18 18 18 18 18 17 16 15 14 14 14 14 14 13 14 14 14 14 14 13 13 13 13 13 12 12 11 10 9 9 9 8 8 7 8 8 10 11 12 13 14 15 16 16 17 17 17 16 15 14 13 12 12 12 12 nan
nan 13 13 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 9 8 7 7 8 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 13 13 13 14 15 16 16 16 16 16 17 18 19 18 17 16 15 14 14 14 14 14 14 14 14 14 14 13 12 12 11 11 10 10 9 9 9 9 10 11 12 13 14 15 15 14 14 14 15 15 15 15 15 15 14 13 12 12 12 12 11 11 nan
nan 14 14 14 14 14 13 13 12 11 10 10 10 10 10 9 9 10 11 12 12 13 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 11 10 10 11 11 10 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 13 13 14 15 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 11 12 14 16 17 17 16 14 13 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 nan
nan 14 15 14 14 13 13 13 12 11 10 10 10 10 10 10 11 11 12 12 13 14 14 13 13 12 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 10 10 10 10 10 12 12 11 9 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 11 12 12 12 11 11 10 10 9 9 9 10 12 14 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 14 15 15 14 13 13 12 12 11 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 12 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 10 12 13 12 10 8 7 7 8 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 8 8 7 7 8 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
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nan 14 15 15 14 14 13 12 11 11 11 11 11 10 10 10 11 13 14 15 15 14 13 13 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 9 11 12 12 11 10 9 8 8 10 11 11 11 10 10 10 11 11 11 11 11 10 9 9 10 11 12 12 12 10 8 6 4 3 1 -0 -0 1 3 5 7 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 11 12 13 13 13 12 10 8 6 4 3 3 3 4 5 6 8 8 8 8 7 8 9 12 13 11 9 6 5 6 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 14 15 15 15 14 13 13 12 12 12 11 11 11 10 10 11 12 13 15 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 8 9 9 10 10 10 10 11 11 12 13 13 13 11 9 8 7 7 8 10 11 12 11 9 6 2 -1 -3 -5 -6 -5 -2 0 2 4 5 7 8 9 9 9 9 9 7 6 6 5 6 7 8 9 11 13 13 12 11 9 8 7 5 3 2 2 2 3 5 7 7 6 5 5 7 11 13 12 9 6 3 5 6 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 14 15 15 15 15 14 13 12 12 12 12 12 11 10 10 10 11 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 12 11 10 9 9 9 9 9 10 10 10 11 11 11 13 14 15 14 12 10 6 3 3 4 6 9 11 11 10 7 3 -0 -3 -6 -8 -8 -7 -5 -3 -1 0 2 4 7 9 10 9 8 5 3 1 1 2 3 5 7 9 10 10 10 10 10 10 9 7 5 4 3 3 5 6 7 6 5 5 6 9 11 10 9 6 4 5 6 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 15 15 16 15 15 14 13 12 12 12 12 12 11 11 10 10 12 13 14 14 13 13 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 13 15 16 16 15 11 6 3 1 -0 2 6 8 9 9 8 6 3 0 -2 -4 -6 -6 -6 -5 -5 -4 -2 1 5 9 10 10 8 5 2 1 1 2 3 4 5 7 8 9 10 11 11 11 10 9 8 6 6 6 7 8 8 7 6 6 7 7 7 5 4 5 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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 5 33 123 311 420 460 506 596 686 739 810 874 936 980 1000 1009 1024 1037 1037 1022 996 961 917 864 818 787 769 747 716 685 669 655 629 610 571 520 471 442 451 412 381 413 471 513 525 514 420 360 387 426 456 487 534 588 606 575 521 492 449 370 363 434 522 572 546 445 310 194 130 111 99 83 73 71 71 69 38 19 17 35 71 111 129 131 132 122 115 113 112 105 109 75 62 64 69 67 59 45 34 20 10 8 14 19 19 20 25 30 34 35 34 31 25 20 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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