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 3 3 4 5 6 6 6 5 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 7 8 11 14 14 11 8 5 5 5 4 4 4 4 4 3 4 5 6 8 11 14 15 13 9 8 8 9 9 9 9 8 7 7 6 6 5 5 5 5 4 1 -0 1 3 5 6 7 7 6 5 5 5 6 6 5 5 5 8 11 13 15 17 18 16 12 10 9 9 9 9 8 7 8 11 15 19 20 19 17 15 12 10 8 7 6 6 6 7 8 8 8 8 7 6 nan
nan 3 3 3 4 3 3 3 4 5 6 6 5 5 4 4 3 3 3 3 3 4 4 5 6 6 7 7 6 6 6 5 5 4 4 4 4 4 5 5 6 7 8 7 6 6 5 5 5 5 4 4 4 3 3 4 5 7 9 11 14 14 11 8 7 8 10 10 9 8 8 7 6 6 5 5 5 5 5 4 1 -0 1 4 7 7 7 7 6 6 6 7 7 7 6 5 4 5 7 7 7 8 8 8 7 8 10 12 14 13 9 7 7 9 13 16 18 18 18 17 14 12 10 8 7 7 8 9 10 10 11 11 10 8 nan
nan 4 3 3 4 4 3 3 4 5 6 6 5 5 4 4 4 4 4 4 4 5 5 6 7 7 8 8 7 7 6 6 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 7 9 11 12 11 10 9 8 9 11 11 10 8 8 7 6 5 5 5 6 6 5 4 1 0 3 6 8 9 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 5 7 9 12 15 13 9 5 5 7 9 12 13 14 14 13 13 11 9 8 8 8 9 10 12 14 15 15 14 11 nan
nan 4 3 3 4 4 4 3 4 4 5 6 5 5 5 4 4 4 4 5 5 6 6 7 8 8 8 8 7 7 6 5 4 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 4 5 8 10 11 10 9 10 11 12 12 12 11 9 8 7 7 6 5 5 6 7 6 5 2 -0 1 5 8 10 10 10 9 9 10 10 10 9 9 8 8 7 6 6 6 6 6 6 5 5 6 7 9 11 9 7 4 4 5 6 7 8 9 9 8 9 9 8 8 8 9 10 12 14 17 20 20 19 16 nan
nan 4 4 3 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 8 8 7 6 5 5 4 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 3 2 1 1 2 3 4 6 8 11 12 10 8 9 11 13 13 12 10 7 5 5 6 5 5 5 6 6 5 3 -1 -2 2 7 10 10 11 10 10 11 11 11 11 10 9 9 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 5 6 6 5 6 6 7 7 7 7 8 8 9 10 11 13 16 19 22 24 23 19 nan
nan 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 5 5 6 6 7 8 8 8 8 8 7 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 3 2 2 2 2 3 4 5 6 8 11 12 10 8 7 9 10 10 9 7 5 4 4 5 5 5 5 6 5 4 0 -3 -2 4 9 11 11 11 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 9 10 10 11 13 15 18 21 24 23 20 nan
nan 4 5 4 4 4 4 3 3 4 5 5 5 5 5 4 4 5 5 6 7 7 8 8 8 7 6 6 5 4 4 4 4 4 5 5 6 7 7 6 6 6 6 5 5 4 3 3 3 3 3 3 4 5 5 5 6 7 10 12 11 8 8 8 9 8 6 4 3 4 5 5 5 5 5 6 5 3 -1 -4 -1 5 10 11 12 11 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 13 15 18 20 21 19 nan
nan 5 5 5 4 4 4 3 4 4 5 5 5 5 4 4 4 5 5 6 7 7 7 7 6 6 5 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 5 5 6 6 6 7 9 12 12 10 9 9 9 8 5 3 4 5 5 5 5 5 6 6 6 4 -1 -2 2 7 11 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 11 11 10 10 12 14 16 17 18 nan
nan 5 5 5 4 4 4 4 4 4 5 6 5 5 4 4 5 5 6 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 7 10 13 14 12 11 10 10 8 5 4 5 5 5 5 6 6 7 8 8 5 1 0 4 8 11 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 9 10 11 12 15 18 nan
nan 5 5 5 4 4 4 4 4 5 6 6 5 5 5 5 6 6 7 7 7 6 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 7 7 7 7 8 11 14 15 13 11 10 9 7 5 5 5 5 5 6 6 7 8 9 9 6 2 2 6 10 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 10 11 15 19 nan
nan 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 8 7 7 5 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 7 7 7 8 10 12 14 14 12 9 7 7 5 5 5 6 6 6 6 6 7 9 9 8 5 3 5 9 12 13 12 11 10 9 9 10 10 10 10 10 9 9 10 10 10 11 11 12 12 13 12 12 13 12 12 12 12 12 13 13 14 14 13 12 12 11 11 10 10 10 9 9 9 10 11 11 10 10 10 13 18 nan
nan 4 5 5 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 7 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 7 8 10 12 13 14 12 9 6 5 5 5 5 6 6 6 6 6 6 7 9 8 6 5 6 10 14 14 14 12 10 8 7 8 8 9 10 10 10 10 10 11 11 11 12 12 13 14 14 15 14 14 14 14 14 13 13 13 13 13 13 13 12 11 10 10 9 9 9 8 9 9 10 11 12 11 10 10 11 12 nan
nan 5 5 4 4 4 4 4 5 5 5 5 6 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 9 12 13 13 13 11 8 6 6 5 5 6 6 6 6 6 6 6 7 9 8 6 6 11 16 17 16 13 11 8 7 7 7 8 9 10 10 11 11 11 12 12 13 13 14 14 15 16 16 16 16 15 15 14 13 12 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 9 nan
nan 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 6 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 5 6 6 6 7 8 8 9 11 13 14 14 11 8 6 6 6 6 6 6 6 6 6 7 6 6 8 9 8 7 8 13 17 18 15 12 9 8 7 8 8 9 9 9 10 10 11 11 12 12 13 14 14 14 14 15 15 15 14 14 13 11 10 8 7 6 6 5 6 6 6 7 8 8 9 9 8 9 9 8 8 8 8 8 8 7 7 nan
nan 2 2 3 4 5 5 4 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 3 3 3 4 5 5 4 4 4 4 5 5 5 6 7 8 9 10 10 11 12 13 12 10 7 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 7 10 14 16 16 13 10 8 8 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 10 11 10 10 9 8 6 4 3 4 4 4 5 5 6 7 8 9 9 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan -1 2 5 7 7 6 5 5 4 5 6 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 3 3 4 4 5 5 4 4 4 5 5 5 6 6 7 8 10 11 12 12 12 10 7 4 2 3 4 5 6 6 6 6 6 7 7 7 7 7 8 7 7 9 12 14 14 13 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 5 4 5 6 6 5 5 4 3 3 4 5 5 6 6 7 8 9 9 8 7 7 6 6 5 5 6 6 5 5 6 6 nan
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nan 7 12 14 14 10 7 5 5 5 5 5 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 5 7 9 11 12 13 13 14 13 10 6 4 4 4 5 5 6 6 6 7 7 7 7 7 8 8 8 7 7 8 10 12 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 6 5 5 4 3 2 1 1 1 2 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 7 7 8 8 8 8 8 nan
nan 11 13 13 11 8 6 5 5 5 6 5 5 4 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 3 3 4 5 6 9 11 13 14 15 14 13 11 8 6 6 6 6 5 5 6 6 6 7 7 7 7 7 8 9 8 7 7 9 11 11 9 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 7 7 6 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 7 7 7 6 nan
nan 10 10 9 7 7 7 6 6 6 6 5 4 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 2 2 2 2 2 3 4 6 8 10 12 14 15 15 13 11 8 7 6 6 6 6 6 6 7 7 7 6 6 7 8 8 8 8 7 6 7 9 10 10 8 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 5 nan
nan 7 7 7 7 7 7 7 8 7 7 5 4 3 2 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 4 6 8 10 12 13 14 13 11 8 6 6 6 6 6 6 6 7 7 7 7 6 6 8 8 8 8 7 5 3 6 10 10 9 8 6 5 6 6 5 4 4 4 4 4 4 5 5 5 6 7 7 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 nan
nan 7 7 8 7 8 9 10 10 9 7 5 3 2 2 3 4 4 5 5 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 5 6 6 5 5 4 4 5 7 8 9 10 10 10 9 7 6 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 5 4 7 10 10 10 8 6 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 nan
nan 8 9 9 9 10 13 14 12 9 5 3 2 1 1 3 4 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 7 8 8 8 7 6 5 4 4 5 6 6 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 5 6 8 9 10 10 9 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 9 9 9 11 13 16 16 12 7 3 2 0 0 2 4 5 5 5 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 7 5 3 2 2 3 4 5 6 7 8 7 6 6 5 6 6 7 7 6 6 6 6 7 7 8 8 8 6 4 5 7 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 8 8 7 7 7 6 6 5 4 4 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 5 5 4 4 4 3 2 2 3 4 4 5 6 7 6 5 4 5 6 6 5 3 1 1 2 2 3 3 2 2 2 4 5 7 8 9 8 8 7 8 8 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 7 6 5 5 8 9 9 8 8 7 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 6 nan
nan 6 6 5 4 3 2 2 3 5 6 6 6 7 7 6 5 5 5 6 6 4 1 1 2 3 2 1 1 2 5 6 7 7 8 9 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 5 4 5 7 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 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 5 6 5 5 5 5 5 5 6 nan
nan 8 7 6 5 5 4 5 7 8 7 7 8 7 7 7 7 7 7 7 7 5 3 4 5 6 5 4 4 6 7 8 8 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 4 3 4 7 8 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 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 nan
nan 8 7 7 7 7 7 7 8 8 8 8 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 7 6 4 3 4 6 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 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 nan
nan 7 7 8 8 8 8 8 8 7 8 8 8 9 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 8 8 8 9 10 10 9 9 8 7 7 7 7 6 6 6 7 7 7 8 8 6 4 2 3 5 7 7 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 7 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 8 8 7 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 8 7 6 6 6 6 6 7 7 7 8 7 5 1 -2 0 4 6 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 6 7 7 8 8 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 6 6 7 7 7 7 7 7 8 8 5 -0 -4 -3 1 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 8 7 6 6 7 8 8 8 7 7 8 7 6 2 -3 -4 -1 3 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 6 6 7 7 8 7 7 8 8 8 9 9 9 7 7 7 8 8 8 8 8 7 7 8 7 6 6 6 7 7 6 7 7 7 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 5 -0 -4 -2 1 4 5 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 10 9 9 9 9 9 8 7 7 8 8 8 7 7 8 7 3 -1 -1 1 3 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 8 7 7 8 8 8 8 7 8 8 5 2 -0 1 3 4 4 5 5 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 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 7 7 8 8 8 8 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 8 7 7 6 6 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 6 3 -0 -1 1 3 4 4 5 5 5 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 nan
nan 8 9 9 9 8 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 7 8 8 7 7 6 6 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 3 -1 -3 -1 2 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 6 6 6 7 7 8 9 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 7 7 6 6 6 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 6 6 7 7 8 7 7 7 7 7 8 7 5 1 -3 -3 -0 2 3 4 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 8 8 7 7 6 6 5 6 6 7 6 7 7 8 8 7 6 5 6 6 7 7 8 8 8 8 7 7 8 8 9 9 9 8 7 5 5 6 8 8 8 8 8 8 7 8 8 7 4 -0 -3 -2 1 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 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 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 6 6 6 7 7 7 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 7 6 5 5 6 6 7 7 7 8 8 7 8 8 9 9 9 9 8 6 6 7 8 8 8 8 9 8 8 8 8 8 7 2 -2 -3 -1 1 3 4 4 4 4 5 5 5 6 5 5 5 4 4 5 5 6 6 7 7 7 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 7 7 7 6 6 7 7 7 7 nan
nan 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 6 6 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 7 5 1 -2 -2 -1 2 4 5 5 5 5 5 6 6 6 5 5 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 nan
nan 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 10 10 9 8 7 8 8 8 8 8 9 9 9 8 8 8 7 4 2 -1 -2 -1 2 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 8 8 9 8 8 7 7 7 7 6 6 5 6 7 9 10 9 7 6 6 7 7 6 6 7 8 8 8 7 8 8 9 9 10 10 8 7 6 7 8 8 8 8 8 9 9 8 8 8 8 7 6 3 -0 -2 -1 1 4 5 6 7 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 7 8 8 7 6 6 6 7 8 7 6 6 6 7 8 9 8 7 6 6 6 7 7 7 7 8 8 8 7 7 7 8 9 10 10 9 7 6 6 7 8 8 8 8 9 9 8 8 8 8 8 8 6 4 1 -1 -1 -0 2 3 5 6 7 7 7 6 6 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 6 6 6 6 6 nan
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nan 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 7 6 6 7 8 8 7 7 6 5 5 6 7 6 7 8 9 9 8 7 7 7 6 7 9 10 10 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 6 5 4 2 -1 -2 0 3 5 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 7 7 7 nan
nan 7 7 7 7 7 7 7 8 8 7 7 7 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 8 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 9 9 9 8 7 7 8 7 7 8 7 7 7 8 9 9 8 7 8 8 7 7 7 6 2 -1 -2 -0 2 4 5 5 5 5 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 7 7 8 8 8 7 7 7 8 9 9 8 9 8 8 7 6 7 8 9 9 8 8 7 7 7 7 7 6 6 7 9 9 8 7 8 8 8 8 8 8 5 2 -0 -2 -1 1 3 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
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nan 7 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 6 2 -1 -1 0 2 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 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 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 9 9 9 9 8 8 7 4 1 -0 0 2 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 9 9 8 8 9 9 10 10 9 8 8 8 8 8 8 7 7 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 9 8 6 4 3 3 4 3 2 1 0 2 4 5 4 4 4 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 8 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 9 9 10 10 9 8 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 10 11 10 9 8 9 9 9 8 8 8 8 8 9 9 9 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 8 9 8 8 7 7 7 6 3 -1 -2 -0 3 4 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 6 nan
nan 7 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 9 9 9 7 6 6 7 8 9 10 10 10 10 9 9 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 6 7 8 8 9 9 10 9 9 9 8 7 7 7 8 8 9 9 9 9 8 6 1 -2 -2 1 3 5 5 6 5 5 5 5 5 5 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 7 6 6 6 nan
nan 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 7 8 9 10 11 11 10 10 9 8 8 8 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 7 7 7 6 6 7 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 8 7 4 1 -0 0 2 4 5 6 6 6 5 5 5 5 5 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 6 6 5 6 7 7 8 9 10 11 11 10 9 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 8 7 6 6 7 6 7 7 8 8 8 8 8 7 6 5 3 1 0 2 4 5 6 6 6 6 6 5 5 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 7 7 7 7 8 8 8 7 7 8 8 7 7 7 7 8 8 8 7 7 6 5 4 4 4 4 5 6 6 6 6 6 7 8 8 8 8 10 11 11 9 8 7 8 8 9 9 10 9 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 6 3 2 1 2 4 5 6 7 7 7 6 6 6 7 7 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 nan
nan 8 8 7 7 6 6 6 7 8 7 7 7 8 8 7 7 8 8 9 9 9 8 7 7 6 5 5 5 5 5 6 6 6 6 6 7 8 8 8 8 9 11 10 8 8 8 9 9 10 10 10 10 9 8 7 5 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 8 8 7 7 6 6 6 6 6 6 7 7 8 8 7 7 6 6 7 7 6 5 3 2 2 3 5 7 8 8 7 6 6 6 6 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 nan
nan 8 7 7 6 6 5 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 5 5 6 7 8 8 9 10 11 10 9 8 9 9 10 10 10 10 9 9 8 7 7 6 6 6 6 6 7 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 5 4 3 3 4 7 9 9 8 6 5 4 5 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 6 6 6 6 7 7 7 7 6 7 9 10 10 10 10 9 9 8 8 8 8 7 6 6 6 6 7 7 7 6 5 5 6 7 8 9 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 5 5 5 5 7 8 9 8 8 9 9 9 8 8 8 7 6 5 4 4 5 6 6 7 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 5 4 5 7 8 8 7 4 1 1 4 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 5 6 7 7 7 7 7 7 6 7 7 9 10 10 10 9 9 8 7 7 7 7 6 6 6 6 7 7 7 8 7 7 6 6 7 8 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 4 4 5 7 8 8 8 7 8 8 8 8 8 7 7 6 5 4 4 5 6 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 6 6 6 7 7 6 6 6 7 7 6 6 6 6 7 6 4 -1 -4 -1 4 6 7 7 7 7 7 7 6 6 6 5 5 5 6 6 nan
nan 8 6 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 8 9 10 11 12 11 10 9 8 7 7 8 8 9 9 8 9 9 10 9 8 7 6 5 4 4 5 6 8 8 8 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 4 0 -4 -4 1 4 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 nan
nan 6 5 5 6 7 7 7 7 8 8 8 7 7 7 7 6 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 6 6 6 7 7 8 9 11 12 11 10 8 7 7 7 8 9 10 9 8 8 9 10 9 7 5 4 4 4 5 5 5 6 7 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 6 3 -2 -4 -1 4 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 nan
nan 5 5 6 7 7 7 8 8 9 9 8 7 7 7 6 6 6 6 7 6 6 6 6 6 6 7 8 8 8 8 7 7 6 6 6 5 6 7 8 9 10 11 11 10 8 7 6 7 8 9 9 8 8 8 10 10 8 6 4 3 4 4 5 5 5 5 6 7 8 9 9 8 8 8 8 9 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 6 3 -2 -1 3 7 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 6 nan
nan 6 6 6 7 8 8 9 9 10 9 7 7 7 7 7 7 6 6 7 6 5 5 6 6 7 7 8 7 7 8 7 7 6 6 6 5 5 6 7 8 10 11 11 11 9 7 7 7 8 8 8 8 8 9 10 10 8 6 4 4 4 5 6 6 6 5 6 7 7 7 8 9 9 9 9 9 8 8 7 8 9 10 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 8 7 7 7 8 8 8 6 3 1 3 8 11 10 8 7 7 7 6 6 6 6 5 5 5 5 5 6 6 nan
nan 6 6 7 8 9 9 9 9 9 8 7 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 8 8 8 6 6 6 6 6 5 5 6 8 9 10 11 11 11 10 8 8 7 7 7 7 8 9 10 9 8 6 5 5 5 6 8 8 7 6 6 6 5 5 6 8 10 10 9 8 7 7 8 9 10 11 10 9 9 8 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 7 5 5 8 11 12 10 9 8 7 6 6 5 5 5 5 5 5 5 5 6 6 nan
nan 7 7 8 9 10 9 9 9 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 7 6 5 7 8 8 6 5 6 6 7 8 9 11 12 11 10 9 8 8 7 6 7 8 8 8 7 7 7 7 7 8 9 9 8 7 6 5 5 5 5 7 8 8 8 6 6 7 9 10 10 10 9 9 8 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 7 7 9 10 10 9 9 8 7 6 4 4 4 5 5 5 5 5 5 6 6 nan
nan 8 8 9 10 10 9 9 8 7 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 7 6 6 8 9 9 8 6 6 5 6 6 8 10 11 12 12 11 10 9 7 7 7 7 8 9 9 9 9 9 8 9 9 9 8 7 6 6 6 6 6 6 7 7 6 5 6 7 9 10 9 9 8 9 8 7 8 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 8 7 7 8 9 9 8 7 6 4 2 3 4 4 4 4 5 5 5 5 6 nan
nan 8 9 9 9 10 9 8 7 6 4 4 5 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 7 7 7 8 8 9 10 9 8 7 6 5 5 6 7 9 10 11 12 12 11 10 9 9 9 9 10 11 11 12 11 9 8 8 8 9 9 8 7 7 7 7 7 7 7 6 6 5 5 7 8 8 8 8 8 9 8 8 9 9 9 9 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 8 8 9 10 9 9 8 8 8 6 5 4 3 1 -0 1 3 4 4 4 5 5 5 5 6 nan
nan 8 8 9 9 10 9 8 7 5 4 4 5 7 8 9 9 10 10 10 9 8 7 7 8 8 8 8 7 8 9 9 9 9 9 10 9 9 8 7 6 5 5 7 8 9 9 10 10 11 11 12 12 12 12 13 13 13 12 11 9 7 7 8 9 9 9 8 8 8 8 8 8 8 7 6 5 6 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 7 4 1 -1 -2 -2 -3 -2 1 3 4 4 4 5 5 5 5 5 nan
nan 8 8 9 9 10 9 8 7 5 5 5 6 7 8 9 10 11 11 10 8 7 6 7 7 8 8 8 8 10 11 10 9 8 8 8 8 8 8 7 7 6 5 6 7 7 8 8 8 10 11 12 13 13 14 14 14 14 13 11 9 8 8 8 8 9 9 8 8 8 8 9 9 9 8 7 6 7 7 7 7 7 6 7 8 8 8 9 9 9 9 8 8 7 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 9 9 10 10 10 8 5 2 -1 -3 -3 -3 -2 1 3 4 4 4 5 5 5 5 5 5 nan
nan 8 8 9 9 9 9 8 6 6 6 6 7 7 8 9 10 11 10 9 7 6 7 8 8 8 9 9 10 11 11 10 9 8 9 8 8 8 8 8 7 6 6 6 6 6 6 6 7 8 9 10 11 11 12 14 14 14 13 12 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 7 6 5 4 4 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 9 9 8 8 7 6 6 7 8 8 8 9 10 10 9 7 6 7 8 8 8 8 9 11 12 11 10 9 8 8 9 9 8 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 9 10 12 13 13 12 12 11 10 9 9 9 8 8 8 7 7 8 9 10 9 9 9 9 10 9 8 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 11 12 11 10 9 8 8 9 9 8 6 6 6 8 9 9 7 6 5 5 5 5 6 6 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 7 6 6 7 7 7 8 9 10 10 8 7 7 8 9 9 9 8 9 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 10 11 11 11 10 9 9 10 10 9 9 7 7 7 7 8 9 9 10 10 11 10 10 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 9 9 8 9 10 12 11 10 9 8 8 9 10 9 8 7 8 9 10 9 6 5 4 5 6 6 6 6 6 6 5 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
68 47 30 18 16 17 31 36 41 79 188 219 132 50 29 31 37 39 33 23 17 15 16 23 34 39 40 52 56 73 59 36 29 65 151 145 69 35 59 188 500 826 993 1021 761 369 150 80 56 45 43 44 40 30 29 26 21 19 19 22 27 32 31 22 12 16 9 6 2 0 2 9 20 30 35 32 20 12 8 12 24 59 79 83 105 146 171 191 225 265 302 291 303 362 507 798 974 871 705 702 452 381 737 970 718 363 239 260 299 338 380 496 596 601 695 806 844 749 586 436 337 273 261 267 274 281 310 311 309 331 343 323 283 259 248
169 98 44 18 14 19 28 34 49 116 204 214 124 36 21 22 33 39 34 29 27 26 29 40 56 66 85 125 107 171 117 81 95 183 246 182 70 31 57 183 438 601 701 798 681 441 252 154 101 63 46 37 39 31 24 19 17 17 17 18 23 27 26 20 16 17 9 4 1 1 4 14 25 30 28 20 9 2 0 2 10 62 112 119 114 117 131 149 171 223 293 344 438 555 631 653 616 512 413 472 333 275 401 450 370 298 283 318 388 475 548 628 558 428 466 644 721 645 524 426 408 368 335 346 390 441 466 459 467 503 521 482 384 335 303
267 183 81 24 12 18 22 30 62 129 169 144 87 30 19 26 34 44 42 39 37 38 43 51 62 79 125 180 185 297 241 238 299 320 234 102 24 16 31 79 192 288 405 548 575 477 348 243 152 89 50 37 32 25 19 15 14 11 7 8 15 19 13 10 14 16 10 4 1 2 8 18 26 26 23 14 2 0 0 0 1 45 111 128 106 87 113 144 153 202 279 367 474 553 514 343 228 293 430 449 334 255 255 267 268 280 347 502 679 819 765 619 483 511 666 785 738 556 489 445 469 486 469 449 481 490 455 464 533 623 711 712 575 479 387
336 271 134 27 10 15 20 27 52 105 110 60 47 30 23 31 39 50 55 50 46 54 69 83 94 113 176 258 304 359 368 440 458 304 109 31 7 6 10 26 68 122 207 327 392 367 294 219 159 112 51 25 18 16 13 13 10 4 0 2 9 7 2 7 15 15 9 4 2 6 14 22 26 22 15 10 2 0 0 0 0 18 57 79 81 105 134 179 221 300 399 458 452 401 310 215 163 286 419 459 387 327 304 276 247 270 412 744 1061 1169 959 688 587 689 849 923 822 588 511 496 539 594 565 486 462 443 406 417 448 548 695 839 819 690 513
366 306 182 30 7 11 16 20 33 83 112 74 51 35 42 51 44 55 73 74 77 98 124 147 186 263 373 427 398 410 521 543 391 169 27 8 6 8 19 36 56 79 105 136 161 166 145 109 70 49 25 9 6 6 9 12 9 1 0 1 3 1 2 7 13 17 13 7 7 12 18 21 18 10 5 4 2 1 0 0 1 13 43 39 56 115 175 244 365 553 683 642 510 372 240 182 173 229 307 375 410 428 419 383 352 324 336 564 769 821 684 544 583 735 828 816 651 508 430 403 390 408 414 448 536 575 513 470 479 563 703 958 1068 941 690
336 226 132 20 2 3 6 11 26 74 116 86 43 34 48 65 66 58 81 110 128 146 181 242 322 466 570 537 460 403 428 383 222 66 10 6 8 14 28 35 39 59 70 70 73 75 64 46 26 14 3 1 7 9 9 10 7 1 0 0 0 0 0 2 8 13 12 9 9 10 11 12 6 2 0 1 1 1 0 1 4 10 25 30 60 116 176 258 465 781 943 734 467 303 236 193 192 238 281 331 378 398 425 465 449 385 319 317 325 365 395 440 537 631 713 705 564 448 352 281 266 351 520 779 996 1032 973 934 848 887 1021 1185 1260 1111 819
372 189 74 23 5 1 1 7 29 69 101 75 34 29 38 59 66 59 83 134 177 208 265 359 442 479 552 525 461 429 376 257 122 30 8 11 24 46 58 43 41 53 55 48 48 48 39 26 19 13 11 15 19 15 9 6 3 0 0 0 0 0 0 0 1 3 6 7 5 3 3 3 1 0 0 0 0 0 0 5 33 77 77 57 64 98 130 177 355 673 876 665 368 259 223 197 227 291 359 427 471 442 452 601 612 567 510 455 397 386 423 430 415 503 678 706 640 526 429 370 405 601 925 1305 1416 1326 1194 1117 1067 1074 1142 1238 1278 1077 820
394 117 42 28 14 11 14 19 38 77 108 76 36 38 34 41 40 75 128 167 205 262 361 482 547 470 503 433 343 323 302 234 134 36 9 21 53 51 51 59 58 43 25 15 13 16 16 16 19 21 16 10 5 2 2 2 1 0 0 0 0 0 0 1 2 4 4 3 2 0 0 0 0 0 0 0 0 0 1 9 63 112 98 57 40 61 83 119 222 385 516 457 278 212 190 189 228 304 388 490 611 538 509 640 728 768 758 720 674 639 602 553 548 632 750 737 672 580 513 537 667 794 991 1300 1388 1365 1251 1123 1026 1054 1147 1174 1151 999 839
328 100 46 34 31 30 26 25 47 102 149 76 61 99 94 107 143 207 272 317 355 410 469 532 472 352 302 224 141 96 92 94 81 57 49 43 49 22 12 6 5 5 3 1 0 1 6 6 6 5 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 15 72 107 77 34 17 21 43 93 154 202 226 245 191 161 156 171 211 266 318 409 570 519 489 585 738 839 873 879 849 760 632 619 706 753 759 706 616 535 512 538 575 613 800 1077 1329 1436 1326 1068 916 1011 1100 1085 1030 986 937
254 76 57 63 56 42 28 31 68 131 207 195 205 264 273 328 451 497 499 541 542 553 521 447 300 178 82 34 16 9 8 10 17 29 27 13 6 3 2 1 0 0 0 1 2 1 3 3 2 2 2 2 2 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 13 82 111 68 22 12 25 58 111 148 144 136 145 136 126 127 154 202 251 264 299 396 413 426 480 574 670 761 833 794 682 601 569 603 619 598 566 533 521 543 562 555 585 746 1018 1306 1483 1431 1146 901 971 1037 950 910 955 958
197 68 74 87 74 56 50 61 99 163 269 383 464 540 606 659 761 790 739 712 617 537 429 296 155 57 15 4 2 1 1 1 2 5 3 1 7 16 16 8 1 1 2 3 3 2 2 2 2 2 2 2 2 2 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 11 86 112 67 25 28 56 102 162 169 141 119 111 105 108 136 174 196 226 219 236 281 312 318 332 373 432 499 555 540 498 478 459 459 463 468 478 489 528 617 701 770 812 891 1023 1207 1379 1394 1242 1025 931 931 814 801 920 1067
161 95 112 108 83 62 65 100 171 264 357 436 549 761 877 875 891 911 855 746 620 506 364 187 65 13 1 0 0 0 0 1 12 26 41 58 56 36 19 8 2 2 3 3 2 3 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37 109 121 68 39 71 110 155 184 166 130 103 89 83 84 100 128 140 152 166 197 226 242 242 248 275 292 289 314 344 366 387 415 450 485 509 531 547 579 688 809 900 925 957 982 973 1001 1109 1179 1229 952 825 700 644 746 1064
167 150 151 123 87 66 74 132 265 412 464 616 768 918 912 860 850 833 764 652 520 386 223 76 15 1 0 0 1 8 27 50 51 47 34 18 7 3 2 1 1 1 3 2 2 3 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 30 100 154 135 84 84 108 128 141 140 120 97 84 80 76 68 63 69 79 85 105 142 179 200 206 214 247 275 276 307 340 374 418 493 586 652 699 704 692 717 776 805 831 836 842 850 763 712 817 890 1000 915 776 638 536 522 611
166 128 115 107 89 71 82 161 346 483 560 871 936 886 798 741 713 667 593 491 361 222 84 18 1 1 3 3 10 37 66 27 16 10 6 4 3 1 1 1 0 1 2 2 3 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 81 140 151 132 118 132 124 107 94 83 74 69 69 70 67 69 79 79 72 74 88 119 165 206 233 257 289 326 362 403 450 515 612 736 814 781 799 743 662 609 633 656 675 670 608 603 603 574 638 756 861 863 764 619 493 399 349
140 123 113 104 93 87 113 218 427 528 691 923 880 744 652 619 614 593 491 318 188 98 38 11 2 2 4 7 28 77 60 9 3 3 3 3 2 1 0 0 0 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 36 97 130 130 139 144 139 110 80 66 62 62 64 67 67 66 71 73 70 83 110 138 173 223 285 363 409 476 530 567 593 612 635 694 811 745 568 497 451 384 338 393 491 510 446 405 423 472 491 538 633 727 735 643 535 465 403 347
161 153 123 96 95 122 178 295 480 546 727 857 784 631 539 519 483 373 263 138 79 46 25 12 3 1 3 15 50 98 29 6 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 75 143 152 164 153 126 98 74 61 62 66 68 70 72 71 75 73 78 91 110 149 203 260 329 417 631 858 870 830 786 722 635 545 433 336 282 226 175 156 154 171 275 449 445 297 331 361 374 397 435 463 450 413 365 374 341 298 285
210 199 141 88 103 183 271 362 445 519 684 781 707 563 473 429 337 182 95 61 39 25 17 11 5 2 9 27 80 70 17 4 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 40 109 170 182 168 122 84 65 62 74 85 84 78 73 71 71 72 71 72 77 101 155 231 304 371 443 587 795 834 721 596 489 367 280 185 110 84 82 86 91 99 122 177 259 291 234 242 249 247 244 240 236 246 253 222 207 182 150 130
204 167 101 65 114 230 321 363 411 525 668 730 636 487 392 316 183 82 41 28 22 21 19 15 8 3 11 30 97 65 16 3 3 3 3 3 2 1 0 0 2 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 12 62 133 154 161 113 83 69 75 95 111 112 99 82 75 73 73 70 69 70 80 103 147 208 257 277 281 284 252 232 225 215 173 119 99 80 69 73 80 86 92 98 109 132 188 177 169 166 159 149 139 129 124 148 161 139 123 117 109 101
131 88 67 90 157 252 323 356 431 564 665 663 565 447 336 198 87 36 14 18 19 18 16 12 6 2 8 33 86 79 22 2 2 3 3 2 2 2 1 0 4 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 27 79 110 122 118 89 81 92 116 138 138 124 104 83 82 80 79 76 76 84 97 108 129 150 154 130 110 96 80 73 68 73 73 61 60 63 68 76 83 87 89 89 94 101 116 119 123 127 128 126 129 136 131 126 135 145 139 132 138 142
64 53 70 120 187 258 318 371 458 585 653 608 489 354 223 103 36 18 6 17 18 15 12 10 7 4 8 24 66 87 32 3 2 2 2 2 2 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 1 9 35 71 74 95 95 96 113 139 158 155 131 117 104 93 91 90 89 89 93 100 110 106 100 95 86 69 61 59 56 57 59 60 62 60 60 63 69 75 78 80 81 78 79 78 79 83 90 100 111 119 127 126 119 118 124 139 143 140 148 148
45 52 74 112 171 235 284 347 457 570 620 562 420 267 155 57 15 8 3 11 13 11 11 12 9 8 9 20 36 86 56 14 2 2 2 2 2 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 1 9 32 43 58 69 80 109 150 178 175 147 121 108 102 98 96 97 99 103 106 105 102 91 81 72 67 62 59 57 54 53 55 57 58 58 58 60 64 69 72 73 78 79 75 71 69 67 69 75 83 90 93 90 89 90 91 95 99 105 116 114
61 75 89 105 134 182 223 297 434 562 608 549 407 238 127 43 9 2 7 8 8 8 9 8 7 13 5 26 19 50 44 15 1 1 2 2 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 2 13 34 41 50 55 67 102 145 166 153 133 116 104 96 94 97 101 103 103 100 98 93 87 80 73 68 66 65 62 58 54 52 55 55 54 55 57 60 64 68 73 77 76 71 68 69 70 71 70 71 69 70 70 67 66 66 67 67 68 74 75
84 96 77 65 71 107 137 203 355 545 630 572 440 273 99 38 16 11 8 4 3 4 4 5 4 9 1 12 7 10 9 3 0 0 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 2 21 33 41 48 53 60 78 103 112 104 100 101 94 89 90 93 96 98 97 93 92 90 87 84 79 74 71 68 67 65 59 55 54 54 53 54 56 58 62 68 73 74 71 67 66 66 67 68 67 65 63 63 63 63 62 62 62 61 60 61 61
67 71 47 27 20 34 50 101 259 479 607 574 443 274 113 51 33 31 24 12 5 4 3 3 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 28 38 49 57 60 65 73 76 75 75 78 79 80 82 84 86 86 85 84 88 88 87 85 82 79 73 66 67 66 62 58 55 53 54 54 55 58 63 69 69 68 65 61 58 60 64 62 60 59 59 59 60 60 60 60 59 59 59 58 58
44 50 41 12 9 4 23 138 283 423 518 505 372 237 167 112 57 46 40 23 9 5 5 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 4 17 26 34 46 56 60 62 64 67 67 67 68 69 71 72 73 73 71 72 77 80 82 83 83 83 80 75 67 65 64 63 62 59 56 56 55 54 59 65 67 63 59 58 55 53 52 56 56 54 53 53 53 54 53 53 53 54 54 54 54 53
42 50 38 24 82 73 108 191 285 362 389 349 267 228 196 202 130 104 80 39 11 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 2 13 20 25 30 38 50 58 61 62 63 62 63 62 63 63 64 63 61 61 62 65 68 72 74 76 79 77 75 70 66 65 66 68 67 62 60 59 58 58 58 55 51 51 50 50 48 46 46 47 46 45 45 45 45 46 47 47 48 48 49 50 48
28 24 15 21 92 176 202 210 230 240 216 173 120 102 198 194 138 130 106 49 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 12 17 19 24 30 40 51 57 60 60 60 60 61 60 57 56 56 54 54 54 53 54 57 60 62 64 65 65 67 68 67 66 67 66 62 58 54 51 50 48 45 42 40 40 41 40 38 37 36 36 35 35 36 36 37 38 38 39 40 41 41 42
1 1 1 1 99 176 175 150 138 133 128 134 116 65 36 35 38 46 44 27 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 17 21 28 39 46 52 55 57 56 55 52 50 50 50 48 47 48 47 44 42 45 46 47 48 49 50 51 52 53 52 51 49 48 45 44 42 37 32 29 25 24 26 27 26 25 24 24 24 24 25 25 25 26 27 28 29 31 33 37
1 0 0 1 51 85 106 84 51 55 84 132 109 57 33 25 15 7 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 1 5 10 14 18 25 32 40 45 48 49 48 47 45 45 44 42 40 37 36 33 33 33 32 31 33 35 35 35 35 34 34 34 33 33 32 30 25 22 18 13 10 8 10 11 12 11 8 10 11 13 13 13 14 15 17 18 19 21 22 28
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