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 9 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 8 8 9 9 nan
nan 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 nan
nan 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 11 11 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 11 11 11 10 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 8 7 7 6 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 nan
nan 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 7 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 6 6 5 6 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 nan
nan 8 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 11 11 10 9 8 7 8 8 8 8 8 7 5 5 5 5 6 7 7 8 8 8 8 9 9 10 10 11 11 11 11 8 4 nan
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nan 9 9 8 8 7 7 6 6 7 7 8 7 7 7 7 7 8 9 9 10 9 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 5 3 3 7 13 19 21 20 16 10 7 7 7 7 8 7 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 12 11 11 12 nan
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nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 7 8 9 9 10 10 10 11 11 11 12 12 13 14 15 16 17 16 14 12 9 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 10 11 11 10 9 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 9 8 8 8 9 8 6 5 5 6 8 8 8 8 8 8 8 7 8 10 14 15 14 12 10 8 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 nan
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nan 10 10 11 11 11 11 11 12 13 13 13 13 13 13 13 14 13 13 13 13 13 12 11 10 10 9 10 10 8 8 8 9 10 11 12 12 12 11 11 11 11 11 10 9 9 9 10 10 11 11 11 10 9 7 6 5 5 6 7 7 7 8 10 12 14 15 14 13 12 11 10 9 8 7 7 7 7 8 9 9 9 8 7 6 7 8 10 11 12 11 11 10 9 9 8 8 8 9 9 10 10 11 11 12 13 13 14 14 14 14 14 13 12 11 11 12 15 17 19 19 16 13 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 11 10 9 10 10 9 9 9 10 11 11 12 12 12 13 13 13 12 12 11 10 9 9 9 10 10 10 10 10 8 7 6 6 7 8 8 8 8 8 9 11 12 13 13 12 12 11 10 10 10 10 10 10 10 11 11 12 12 11 9 7 6 6 8 10 12 13 13 12 11 9 8 7 8 8 9 10 10 11 11 12 12 13 13 14 14 14 13 13 12 11 12 13 16 18 19 17 14 11 10 9 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 9 9 9 10 10 11 11 12 12 13 14 14 14 13 13 13 13 14 14 14 13 12 11 11 11 11 10 11 11 11 11 11 12 12 13 14 13 13 12 11 10 9 9 10 10 10 9 10 9 8 7 7 8 9 10 10 9 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 12 12 12 13 13 13 12 10 9 7 6 7 8 8 8 7 5 4 4 6 7 8 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 15 18 21 21 18 14 11 10 10 10 10 10 11 10 10 10 10 10 nan
nan 10 10 9 9 8 9 9 10 10 11 11 12 13 13 14 14 13 13 12 12 13 13 14 14 13 12 11 11 11 11 12 12 12 12 11 12 12 13 13 13 13 12 12 12 11 11 11 10 9 8 9 9 9 8 8 9 10 10 10 10 11 11 10 10 10 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 13 13 11 8 5 3 2 1 0 0 1 4 6 8 9 9 9 10 10 11 12 12 13 13 13 14 14 15 15 15 14 14 17 20 22 20 17 13 11 10 10 10 10 11 11 11 10 10 10 10 nan
nan 10 9 9 8 8 8 9 10 10 10 11 11 12 13 14 14 13 13 12 12 12 13 13 12 11 11 10 10 10 10 11 12 12 12 11 11 11 11 12 12 13 12 13 13 13 13 12 11 9 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 10 11 12 13 13 13 13 13 13 13 12 12 12 13 14 14 14 13 11 8 5 3 1 2 3 5 7 8 9 9 9 9 9 10 11 12 12 13 13 14 15 17 18 17 16 14 15 18 19 19 17 14 12 10 10 10 10 10 10 11 11 11 11 10 11 nan
nan 10 9 8 8 8 8 9 10 11 11 12 12 13 14 14 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 10 11 12 11 11 10 10 10 11 11 12 12 13 13 13 13 14 13 11 10 9 9 8 8 7 8 9 9 10 10 11 12 12 12 11 11 10 9 10 11 11 11 11 12 12 12 12 12 13 13 13 14 14 13 13 13 13 12 10 8 7 8 9 10 10 9 9 9 9 9 9 10 11 11 12 13 13 15 17 19 20 18 15 13 14 15 16 15 14 12 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 9 8 8 8 8 9 11 12 12 13 14 14 14 14 13 12 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 13 12 11 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 15 16 16 15 13 13 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 12 13 15 17 19 20 19 17 14 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 8 7 7 8 9 10 11 13 14 14 14 15 14 14 13 12 11 11 11 11 10 10 9 9 9 9 10 11 11 11 10 9 8 8 9 9 9 10 10 10 11 11 11 12 13 14 15 14 13 12 11 11 10 9 9 9 9 9 11 11 11 10 9 9 10 10 10 10 10 9 9 8 8 8 9 10 11 13 15 16 16 15 13 12 12 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 11 12 14 17 20 21 22 20 17 14 12 12 12 12 10 9 10 10 11 10 10 10 10 10 10 10 10 10 10 11 nan
nan 8 7 7 7 8 9 10 12 13 14 15 15 14 14 13 12 12 11 11 11 11 10 10 10 9 9 10 11 11 11 11 10 9 8 8 9 9 10 10 10 11 11 11 11 12 12 13 14 14 14 13 13 12 11 11 10 9 8 9 9 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 11 12 13 12 12 11 9 8 7 7 8 9 10 10 11 10 10 9 9 9 9 9 9 10 10 11 13 16 20 22 22 21 18 15 13 12 12 11 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 7 6 6 7 7 8 10 11 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 6 5 6 7 9 10 10 11 10 10 9 9 9 9 9 9 10 10 12 15 19 21 22 20 17 14 12 11 11 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 6 6 6 6 7 7 9 10 12 13 14 14 14 12 11 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 11 9 9 8 8 8 8 8 9 9 10 10 10 11 10 10 9 8 8 9 10 10 9 8 5 5 7 8 9 9 8 7 7 8 9 10 11 10 10 10 9 9 9 9 9 9 10 11 13 17 20 21 20 17 13 11 10 9 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 nan
nan 6 5 6 6 7 7 8 9 10 12 14 14 13 12 9 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 14 13 12 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 10 8 5 5 8 11 14 14 11 10 9 10 10 11 11 11 10 10 10 9 9 9 9 9 10 11 14 17 19 18 16 13 11 10 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 6 6 6 7 7 7 8 9 10 11 13 14 13 11 8 6 6 7 9 10 10 10 11 11 11 10 9 9 9 10 11 11 11 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 11 11 9 8 9 12 15 16 14 11 9 9 11 12 12 12 11 10 10 10 10 10 10 10 10 11 12 14 16 16 15 13 11 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 6 7 7 7 8 8 9 10 11 12 13 13 12 10 7 6 6 7 9 9 9 10 11 12 11 10 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 11 11 12 12 12 12 12 12 13 13 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 10 10 10 10 11 12 14 15 14 11 9 9 11 14 15 14 13 12 12 12 12 12 12 11 11 11 12 13 15 15 14 13 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 7 7 7 8 9 9 10 11 12 13 14 13 12 10 8 7 8 8 8 8 8 9 11 11 10 9 8 8 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 9 9 10 10 10 10 11 11 12 11 10 8 8 10 13 16 16 15 14 14 14 14 14 14 14 13 12 13 14 14 14 14 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 7 8 8 9 10 11 12 12 13 13 13 13 12 11 9 8 9 9 9 8 8 9 10 10 9 7 6 6 6 7 7 8 9 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 11 13 14 15 14 14 14 14 15 15 15 14 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 nan
nan 8 9 10 10 11 11 12 11 12 12 12 12 12 10 9 9 9 9 8 8 8 9 9 9 9 7 6 5 4 4 4 5 6 7 9 10 11 12 13 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 11 12 13 13 13 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 nan
nan 10 11 12 12 12 12 11 11 11 12 12 12 11 10 10 10 9 9 7 7 7 7 8 9 9 9 8 7 6 4 4 4 4 5 6 8 10 11 12 13 13 12 12 11 11 11 11 12 12 12 12 13 12 13 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 11 12 12 12 11 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 nan
nan 11 12 13 13 13 13 13 12 13 13 13 12 11 10 10 9 8 8 7 6 7 7 8 9 9 10 10 10 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 10 10 11 12 12 12 11 10 10 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 nan
nan 12 12 13 14 14 15 14 15 15 15 15 14 12 11 10 9 8 7 6 7 7 8 8 9 9 10 10 11 12 12 13 14 14 15 15 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 11 12 12 13 13 13 12 11 11 11 12 12 12 11 11 11 10 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 11 12 12 13 14 14 15 15 16 16 17 16 14 13 12 10 8 8 7 8 8 9 9 9 9 9 9 10 11 12 14 15 16 17 17 16 15 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 13 12 12 12 12 12 12 13 13 14 14 14 13 13 12 12 11 12 12 12 12 12 10 8 7 6 7 8 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 10 10 11 12 13 13 13 14 14 15 16 17 16 15 14 12 10 10 10 10 10 10 10 10 10 10 9 8 8 10 13 15 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 13 13 13 14 14 14 14 14 14 13 12 12 12 12 13 14 13 10 7 5 5 7 9 10 10 11 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 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 8 9 10 11 11 11 11 11 12 13 14 16 17 16 15 13 13 13 13 13 12 12 12 12 12 11 10 9 9 11 13 15 15 14 13 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 15 15 15 15 14 14 13 13 12 12 12 12 13 15 14 11 8 5 5 7 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 8 9 10 11 11 11 11 11 11 12 13 15 15 16 15 14 13 13 14 14 15 15 15 15 14 13 12 11 12 14 15 15 15 14 13 12 11 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 14 14 15 15 15 14 14 14 13 12 12 11 11 11 12 13 14 14 13 11 9 8 8 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 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
CAPE
1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 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 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 3 5
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 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 3 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 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 1 2 3 2 1 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 1 2 3 4 4 3 3 3 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 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 2 2 2 1 2 4 5 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 3 3 3 2 3 4 6 7 7 6 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 1 1 1 0 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 0 0 0 0 0 0 0 1 3 3 3 2 1 1 1 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 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 0 0 0 0 0 0 0 1 3 3 2 2 3 5 7 9 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 3 2 1 0 0 0 0 0 0 1 2 2 2 0 0 1 1 2 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 1 2 0 5 11 16 16 10 11 12 11 10 7 3 1 0 0 0 0 0 1 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 1 1 1 1 3 4 3 2 0 0 0 1 0 0 1 1 2 1 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 0 0 0 0 0 1 3 5 7 15 22 25 24 22 25 21 14 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 2 3 3 4 9 14 18 22 28 31 24 12 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 2 1 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 2 3 2 3 8 14 22 29 28 27 20 10 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 0 0 0 0 0 0 0 1 1 2 3 4 5 8 12 16 21 22 21 16 9 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 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 3 5 8 11 9 7 8 10 11 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0 0
0 0 0 0 0 0 0 0 0 0 3 4 3 2 1 1 4 9 7 5 4 4 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0
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