Vorticity
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nan 3 3 2 3 3 4 4 4 4 4 5 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 5 5 5 4 4 3 3 3 3 3 3 3 4 4 3 4 4 5 6 9 12 16 17 16 12 8 6 7 7 8 8 8 8 8 7 5 5 5 6 6 7 9 10 8 6 4 4 4 5 5 6 6 9 13 20 27 32 34 30 23 16 11 8 8 8 9 11 13 14 16 16 16 14 12 9 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 3 3 3 3 4 4 4 4 4 4 5 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 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 6 9 13 16 16 13 10 8 7 7 7 7 8 8 8 8 7 5 5 5 5 6 7 9 8 6 5 4 4 5 5 5 6 7 11 17 25 32 35 32 23 14 9 6 5 5 6 7 8 9 10 11 11 11 9 7 6 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 4 4 4 4 4 4 5 5 4 4 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 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 4 5 9 14 16 14 11 10 9 9 8 7 7 8 8 8 8 7 6 5 5 5 6 7 9 9 7 5 5 5 5 5 6 6 8 12 17 24 28 26 20 13 7 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 5 5 5 5 4 4 4 5 4 4 5 5 6 6 5 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 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 5 9 13 14 11 9 9 9 8 7 7 7 7 8 8 8 8 6 5 5 5 6 7 9 9 8 6 5 5 5 5 6 7 9 12 16 18 17 13 9 6 5 5 5 5 5 5 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 4 6 6 5 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 3 4 4 4 4 4 3 3 4 5 8 12 13 9 7 7 7 7 7 7 7 7 8 9 9 8 7 6 5 5 6 7 9 9 7 5 5 5 5 6 6 7 9 12 13 12 7 4 4 5 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 nan
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nan 8 8 7 8 8 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 10 13 14 13 12 13 14 14 13 12 13 14 14 14 13 12 11 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 8 7 7 7 8 8 7 7 7 7 7 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 7 7 7 7 7 8 8 7 7 6 6 6 6 7 8 10 11 11 12 12 12 12 11 12 13 14 15 15 14 13 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 nan
nan 7 7 8 8 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 8 8 9 9 9 9 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 7 8 8 8 8 7 7 8 8 8 7 7 6 6 6 6 7 8 8 9 10 11 11 9 8 9 10 12 14 15 15 15 14 12 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 nan
nan 5 6 7 8 8 7 8 8 8 7 7 7 7 6 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 8 9 9 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 9 8 7 7 7 9 12 15 16 16 15 14 12 10 9 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 5 5 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 8 7 8 9 10 10 10 9 9 10 10 10 10 9 9 9 8 8 7 7 8 9 8 8 7 7 7 6 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 8 7 8 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 10 13 17 18 17 16 14 11 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 5 5 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 11 11 11 11 10 9 9 9 9 8 7 6 7 9 10 10 10 10 10 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 7 7 8 9 12 16 18 18 17 14 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 7 6 5 4 5 6 7 8 8 8 8 8 7 7 7 8 8 8 9 9 10 11 11 11 10 9 8 8 8 8 8 7 5 5 6 8 9 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 7 8 7 7 7 7 6 6 7 7 7 8 10 12 16 19 19 16 12 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 7 5 4 5 6 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 8 7 7 7 8 8 8 6 4 3 5 7 9 10 11 11 10 8 7 6 7 7 7 7 8 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 9 9 8 7 7 7 8 8 7 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 9 12 17 19 19 16 12 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 9 9 7 6 5 6 7 8 8 7 7 8 8 8 8 9 10 11 12 12 11 11 10 9 7 7 8 7 8 8 9 8 5 3 3 5 8 9 10 10 10 8 5 4 4 5 5 5 6 7 8 7 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 7 6 6 6 6 6 7 7 6 6 7 9 12 15 18 20 17 14 11 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 9 9 7 7 7 7 8 8 8 7 8 8 9 9 10 11 12 12 12 12 11 10 10 8 7 8 8 8 8 8 8 6 4 3 4 7 9 10 10 9 7 5 4 4 4 5 5 5 6 6 6 5 6 7 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 9 8 6 6 6 6 6 7 7 6 6 6 6 7 8 9 13 18 19 18 15 11 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 5 6 7 8 8 8 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 8 7 7 7 7 8 9 8 7 7 6 5 5 7 8 9 9 8 7 6 5 5 6 6 6 6 6 6 4 3 3 5 7 9 10 11 11 9 7 7 7 7 7 8 8 9 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 9 10 9 8 7 6 6 6 6 6 7 7 6 6 6 6 6 7 9 12 15 17 16 12 9 9 11 13 14 11 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 nan
nan 4 4 5 7 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 7 6 5 5 6 7 8 8 8 7 7 6 6 7 9 10 9 9 7 6 5 6 7 8 8 8 7 6 5 3 2 3 5 7 8 10 11 10 8 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 8 10 12 13 11 9 9 12 17 20 16 10 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 nan
nan 5 3 4 5 7 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 10 10 9 9 8 6 5 4 5 6 7 8 8 7 7 6 7 8 9 10 10 9 8 6 5 6 8 9 9 9 8 7 5 4 3 4 4 5 7 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 8 9 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 7 7 6 6 6 6 7 8 9 9 9 10 14 19 21 17 12 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 5 4 3 4 6 7 8 8 6 5 6 7 7 7 6 7 8 9 9 9 9 9 9 9 8 7 5 5 5 6 7 7 7 7 6 5 6 7 9 10 10 10 8 6 5 6 8 9 9 8 7 6 6 6 6 6 5 6 7 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 7 6 6 7 7 8 7 7 8 8 7 7 6 6 6 6 7 7 8 9 12 16 19 19 15 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 5 4 4 5 7 8 9 7 5 4 5 6 7 6 6 7 8 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 6 5 5 5 6 8 9 10 9 8 6 6 6 7 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 7 7 7 7 8 7 7 8 8 8 7 7 6 6 6 6 7 8 10 14 19 20 17 12 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 nan
nan 7 6 5 5 5 6 8 10 9 6 4 5 6 7 7 7 8 9 10 10 10 9 10 9 9 8 7 7 6 6 6 6 6 5 5 4 4 5 7 8 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 7 6 6 8 10 11 11 10 9 9 10 10 10 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 6 7 8 11 15 20 19 14 11 11 12 10 8 8 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 7 5 5 5 6 8 10 11 9 7 6 7 8 8 8 8 9 10 11 10 10 10 10 9 8 8 7 7 7 6 6 5 5 5 4 4 5 6 7 8 9 8 7 7 6 5 5 5 6 7 8 8 8 7 7 6 5 7 9 12 13 12 11 10 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 8 11 15 17 14 11 11 14 16 14 11 9 9 9 9 9 9 9 9 9 8 8 7 nan
nan 9 7 6 6 5 6 8 10 12 11 9 8 8 9 9 9 9 9 11 11 11 10 10 10 10 9 9 8 8 8 7 6 5 5 5 5 5 6 6 7 8 8 8 8 8 7 5 4 4 5 6 7 7 7 7 8 7 6 7 9 11 12 12 10 10 10 11 11 10 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 12 12 10 8 11 15 18 18 15 13 10 9 9 9 9 9 9 8 8 8 7 nan
nan 10 8 8 8 7 6 7 9 11 11 9 8 8 9 10 10 10 10 11 12 12 11 11 10 10 10 9 9 9 9 8 7 5 5 6 6 6 6 6 6 6 7 8 8 8 7 6 5 4 4 5 6 7 8 8 9 8 8 9 9 10 9 8 8 9 10 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 10 13 16 18 19 18 13 9 8 8 9 8 8 8 8 7 7 nan
nan 11 10 9 9 8 7 6 7 9 9 8 8 8 9 10 11 10 11 11 12 12 12 11 11 10 9 9 8 8 9 10 8 6 5 6 7 7 6 5 5 5 7 8 8 8 8 7 6 4 3 4 6 7 9 10 10 10 11 10 9 8 6 5 7 7 8 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 9 10 9 9 9 8 8 8 8 9 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 12 16 20 22 16 9 8 8 8 8 8 7 7 7 7 nan
nan 11 10 10 9 9 8 7 6 6 6 7 7 7 8 9 10 11 11 11 11 11 12 12 11 10 9 9 8 8 10 11 10 8 6 7 8 8 7 6 4 4 6 7 8 8 8 8 6 4 3 3 4 6 8 10 10 10 11 10 8 5 4 4 5 5 6 7 9 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 8 7 8 8 8 8 8 9 8 8 8 8 8 7 7 8 8 7 8 9 10 10 10 11 14 19 22 17 11 8 7 7 7 7 7 7 7 7 nan
nan 10 10 9 9 9 8 7 6 5 5 6 6 7 8 8 9 10 10 10 9 10 11 12 11 10 10 9 9 9 10 11 10 9 8 7 7 8 8 7 4 4 5 7 8 8 8 9 7 5 3 2 2 3 5 7 9 10 10 8 5 3 3 5 5 5 5 6 7 9 10 12 12 11 10 10 9 9 10 9 9 8 9 9 8 8 7 8 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 9 10 12 13 12 11 12 17 19 15 11 7 6 6 6 6 6 6 6 7 nan
nan 9 9 9 9 9 9 8 7 6 6 5 5 6 7 7 8 10 10 9 7 8 10 11 11 10 10 10 10 10 10 10 10 10 10 8 7 7 8 7 5 4 5 6 8 8 9 9 8 7 6 4 3 2 3 5 8 10 10 8 3 1 2 4 4 4 5 5 6 7 9 10 12 12 11 10 9 10 10 10 9 8 8 8 8 7 7 7 8 9 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 11 13 15 15 12 11 13 13 11 8 7 6 6 6 6 6 6 6 7 nan
nan 10 9 9 9 9 9 9 8 8 7 6 5 6 6 7 8 10 10 8 6 6 8 9 10 10 10 10 11 11 10 9 9 10 11 9 7 6 7 7 6 5 5 6 7 8 8 9 9 9 8 7 6 4 3 4 6 8 10 10 6 3 3 3 3 3 4 5 5 6 7 9 10 11 11 11 10 10 10 10 9 9 9 8 8 7 7 7 9 9 8 8 9 10 9 9 9 9 8 9 9 8 8 8 8 9 8 7 7 8 8 9 9 9 9 10 13 16 16 14 13 12 10 8 7 6 6 6 6 6 6 6 6 7 nan
nan 11 10 9 9 9 10 9 9 9 8 7 6 6 6 7 9 10 10 8 6 6 7 8 9 10 10 10 10 10 9 9 8 10 11 10 8 7 6 6 7 7 7 7 7 7 8 8 8 8 9 9 8 6 4 3 4 6 8 9 8 6 5 5 4 3 3 4 4 4 5 7 8 9 10 11 10 10 10 10 10 9 9 9 9 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 7 8 8 9 9 9 8 8 10 11 13 15 16 17 16 11 7 6 6 5 5 5 6 6 6 6 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
1 1 1 1 2 2 5 7 8 4 1 0 0 1 2 1 1 1 1 1 1 1 1 0 0 1 1 3 7 5 2 1 1 1 1 1 1 1 1 1 2 1 0 0 0 0 0 0 14 32 22 2 2 2 3 7 5 5 5 6 12 27 35 18 4 2 2 2 3 3 4 3 1 0 0 0 0 0 12 34 76 121 168 207 194 148 117 84 58 48 57 81 145 269 425 589 764 883 926 895 739 669 748 851 1037 1258 1341 1313 1204 1026 950 855 754 685 640 619 589 526 435 352 297 273 286 305 265 251 282 332 367 366 355 355 358 392 472
5 6 8 14 20 17 14 12 12 7 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 2 4 8 7 4 7 3 1 0 0 0 0 0 4 10 7 1 5 3 3 4 3 2 1 2 7 13 14 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 1 8 25 52 87 108 102 89 74 62 55 59 99 207 416 724 1037 1258 1319 1183 1015 856 691 683 753 891 1103 1330 1449 1408 1298 1159 1072 1027 924 805 721 621 508 398 301 235 204 202 217 203 177 169 190 228 265 287 302 309 303 315 369
22 28 41 62 69 47 24 18 17 11 4 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 12 19 19 16 17 12 6 2 2 5 4 0 0 1 2 13 26 10 3 1 0 0 0 0 2 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 43 55 49 39 49 53 59 94 229 530 986 1435 1711 1789 1590 1140 844 711 698 710 772 911 1048 1129 1202 1230 1163 1045 983 955 860 708 569 440 325 238 179 140 138 147 146 133 122 126 138 153 169 184 203 218 222 215 252
126 136 127 121 99 54 23 15 13 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 25 27 24 23 21 19 13 10 15 22 20 8 2 6 25 22 4 1 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 6 21 33 37 39 46 52 70 164 438 927 1485 1792 1653 1445 1215 852 665 637 643 579 557 609 649 724 840 896 828 754 693 625 532 422 307 215 162 146 145 136 121 105 90 82 82 86 91 96 106 115 123 143 160 166 194
151 198 206 180 124 54 15 4 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 26 29 31 29 28 28 27 26 29 34 38 35 25 24 29 43 35 8 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 4 14 13 20 22 28 44 91 252 649 1217 1610 1516 1049 879 786 637 585 563 477 348 297 351 427 466 531 539 481 432 372 294 222 189 149 118 107 116 113 95 76 60 52 51 52 54 59 67 77 86 97 110 120 128 153
185 263 276 270 164 58 13 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 15 24 31 33 33 41 46 50 52 54 52 44 37 52 60 43 27 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 3 4 1 10 40 114 334 797 1331 1475 1050 660 747 826 663 521 446 350 229 164 184 217 233 290 292 254 217 187 162 143 119 101 89 86 80 59 32 21 29 33 33 29 32 34 44 57 69 81 90 96 103 115
245 415 320 297 162 48 5 0 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 8 15 18 26 42 59 66 69 71 72 65 45 33 32 31 20 9 3 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 1 1 1 6 36 129 389 875 1343 1352 821 523 759 852 634 399 323 293 194 112 123 128 133 146 150 136 123 112 96 93 91 69 54 46 37 25 16 16 18 19 17 16 21 22 29 39 51 65 77 86 95 112
275 493 285 214 105 27 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 1 0 7 15 30 47 61 67 69 66 51 34 28 25 18 10 5 1 0 1 2 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 1 2 8 39 141 400 869 1335 1251 724 499 650 697 493 277 252 277 173 114 116 106 87 78 78 77 73 74 63 71 64 41 28 22 20 18 17 17 17 18 17 16 17 16 17 22 34 48 61 69 80 96
425 471 294 167 68 15 0 0 0 0 0 0 0 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 6 3 16 38 57 67 56 38 24 25 21 14 10 6 2 0 0 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 1 2 7 34 121 329 741 1218 1126 692 456 503 566 436 235 247 258 162 113 99 83 65 49 43 43 37 42 39 37 34 28 23 20 19 17 16 17 18 18 17 16 16 15 15 17 22 30 37 44 60 78
638 555 302 153 66 22 10 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 21 51 54 34 27 17 14 8 4 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 2 3 6 22 83 248 598 1000 997 680 421 417 510 404 222 255 217 131 86 76 68 53 37 30 27 22 23 21 20 19 20 19 18 17 14 16 11 17 19 20 20 19 15 11 11 14 18 24 28 38 55
599 527 303 163 81 46 37 22 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 1 3 6 9 20 43 21 6 9 6 4 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 2 4 6 9 59 199 457 766 868 657 386 398 532 369 223 215 168 94 58 56 51 38 27 26 24 18 19 17 15 14 15 15 15 15 15 18 16 16 17 17 17 15 11 8 5 9 15 22 25 28 41
372 354 244 147 98 92 83 47 11 0 0 0 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 11 22 26 20 12 18 6 3 2 2 1 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 2 6 8 15 65 180 383 652 755 540 289 412 536 350 188 150 114 64 36 35 37 29 23 22 21 18 16 14 12 11 11 12 13 13 15 17 16 15 13 12 12 12 9 8 10 14 17 22 25 27 32
234 216 163 134 141 156 142 86 25 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 1 7 17 19 12 3 0 2 3 3 2 1 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 1 0 0 0 0 0 3 8 11 29 91 230 437 647 665 366 173 364 467 283 140 98 75 44 26 27 27 25 22 21 20 18 15 13 11 10 10 10 11 11 12 12 13 14 13 13 13 10 4 5 7 13 18 22 27 31 33
284 218 166 155 175 194 179 117 47 10 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 6 12 9 3 1 0 0 1 2 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 2 11 12 0 0 0 0 5 9 13 37 139 371 662 813 634 249 110 237 336 206 107 75 56 35 25 23 22 25 26 25 23 20 17 15 13 11 10 10 10 11 12 12 13 14 14 14 17 12 5 5 7 9 14 19 21 23 30
434 361 264 199 187 201 200 158 87 34 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 9 4 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 3 16 19 1 1 0 2 7 12 29 105 313 650 961 983 586 168 131 243 249 161 89 58 40 31 27 23 25 29 32 31 28 25 23 22 18 15 13 12 12 13 14 16 17 18 17 14 15 9 4 4 6 10 13 18 18 26 35
431 399 332 262 222 214 214 193 133 69 31 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 10 7 20 24 6 16 49 123 297 572 842 932 705 352 142 123 140 142 110 70 44 33 35 31 27 29 35 38 35 31 31 32 29 23 19 17 17 16 15 16 16 18 18 17 11 6 3 3 4 9 16 15 17 21 28 32
271 289 293 283 260 241 223 202 157 93 47 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 8 23 30 57 125 144 77 66 119 229 407 599 672 562 349 197 137 149 166 139 88 54 37 32 38 35 33 35 39 41 38 35 38 39 31 24 23 22 22 21 19 19 20 20 15 14 9 4 2 4 6 9 14 14 17 22 27 31
159 196 240 268 269 259 230 208 176 112 61 24 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 33 65 77 101 222 195 121 119 189 293 404 452 380 282 221 200 193 177 146 106 65 41 32 31 32 33 37 40 40 39 37 38 42 40 30 26 25 24 22 21 21 19 20 19 15 14 10 4 4 6 11 13 12 13 16 19 24 27
102 136 174 217 250 255 228 206 184 131 73 31 11 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 1 1 0 0 0 0 0 0 0 0 0 1 13 72 205 250 226 166 171 155 164 217 293 373 416 382 297 256 257 273 252 185 114 71 46 32 30 30 32 37 42 42 40 36 34 35 42 42 37 32 28 24 20 18 19 18 19 16 15 13 8 4 5 6 6 11 11 12 11 12 14 15
58 81 114 162 211 230 217 203 175 143 89 42 17 7 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 2 27 134 368 615 576 459 326 248 236 282 354 421 523 531 491 391 314 292 299 249 133 80 52 35 29 30 32 38 45 46 43 39 36 32 35 40 41 39 36 31 26 21 18 19 19 18 16 15 12 6 6 6 9 18 19 16 11 8 7 8 10
29 48 78 115 155 175 189 186 160 134 95 54 24 10 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 2 27 140 436 862 961 800 581 423 339 321 378 488 631 772 736 610 443 315 252 212 145 83 52 34 27 26 29 35 43 49 47 41 40 37 33 33 32 31 30 28 26 26 23 20 21 21 21 19 14 9 5 5 7 13 19 20 17 12 8 8 7 11
13 25 45 69 95 115 144 158 147 127 101 67 33 11 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 36 55 113 337 756 1081 1060 794 545 395 354 463 678 923 1095 1004 797 571 384 263 194 142 88 53 36 26 25 27 31 37 43 47 46 37 39 35 31 28 26 25 24 21 19 23 22 19 18 20 21 17 11 7 6 6 7 11 15 17 14 10 9 9 9 11
5 7 18 40 55 79 112 134 132 130 116 87 50 14 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 37 103 196 346 581 917 1151 1108 858 709 710 751 956 1258 1419 1260 943 666 457 310 216 150 97 57 35 28 25 28 31 34 36 36 35 35 31 29 26 23 21 20 20 18 17 18 20 19 16 14 16 17 14 9 7 8 7 8 10 10 10 10 10 9 10 10 11
4 4 7 19 33 56 90 119 140 147 134 109 79 36 15 9 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 1 5 38 133 267 420 634 924 1202 1285 1219 1217 1326 1419 1530 1554 1350 997 704 497 347 240 166 108 64 38 29 27 27 30 34 34 32 26 24 20 18 17 17 16 15 13 13 12 14 17 17 15 14 14 14 11 9 8 8 9 8 8 10 11 11 12 11 10 11 10 9
4 4 5 9 18 30 63 102 136 146 137 125 107 64 24 19 17 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 0 0 0 0 0 0 0 8 45 135 252 399 599 848 1139 1344 1441 1495 1526 1509 1427 1240 952 694 501 356 245 165 107 67 44 31 28 28 29 32 36 33 27 21 19 15 11 10 10 10 10 10 9 11 12 14 13 12 11 12 10 7 9 10 9 9 8 8 10 13 10 10 10 11 12 11 8
5 4 4 6 7 8 38 68 97 117 123 119 101 71 49 42 36 24 10 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 8 44 120 221 347 528 728 934 1113 1228 1274 1247 1173 1005 817 626 463 331 233 164 112 66 41 31 27 26 28 30 33 37 33 26 22 21 18 15 12 9 7 10 10 11 11 11 9 7 7 8 8 7 8 8 8 9 9 9 9 9 10 10 8 8 9 9 7 7
5 4 4 3 3 2 22 47 74 96 107 102 83 92 75 50 37 27 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 22 87 174 292 444 595 725 827 886 893 860 783 661 534 416 310 219 155 113 78 46 31 27 25 25 26 27 30 34 31 26 24 23 21 19 15 11 10 10 10 10 10 9 7 4 3 5 4 5 6 7 7 8 8 8 8 8 7 6 6 7 7 7 6 6
5 4 4 4 3 3 14 34 50 60 69 74 61 61 49 37 22 10 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 1 4 44 145 274 384 476 558 596 618 599 571 517 440 357 283 216 161 116 85 58 37 27 25 24 25 25 24 27 29 27 27 25 23 21 18 14 11 11 10 9 10 10 8 5 2 2 3 4 5 6 6 6 7 8 7 7 7 6 5 6 7 6 6 6 6
4 4 4 4 3 3 7 16 25 36 47 45 46 45 38 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 103 227 328 386 439 424 430 422 401 364 305 247 206 161 126 93 67 43 28 24 24 23 23 22 23 26 28 28 28 25 21 18 14 11 10 10 9 9 8 7 6 3 2 3 3 5 5 5 6 5 6 7 6 6 6 6 5 6 6 6 6 7 7
4 4 4 4 3 2 3 4 7 13 24 27 35 39 25 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 76 184 277 302 342 316 299 292 286 269 227 178 156 129 99 73 50 31 24 24 24 23 23 23 23 25 26 25 23 20 16 13 12 11 11 11 10 8 6 6 6 2 3 4 4 5 6 7 7 6 5 5 6 6 6 6 5 7 7 6 6 6 7
4 4 4 4 3 2 2 2 3 4 6 12 23 27 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 40 118 209 234 260 251 218 201 202 198 175 145 126 102 77 52 33 23 22 24 23 22 23 23 22 22 22 21 18 16 14 13 14 13 13 12 9 6 3 1 2 3 3 4 5 6 8 10 8 6 5 5 6 6 7 6 5 5 7 6 7 7 7
4 3 3 3 3 3 3 2 2 3 3 7 17 20 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 55 122 161 190 217 189 161 155 151 136 119 105 79 58 35 21 19 19 19 18 21 20 20 19 17 17 17 15 14 14 13 15 16 15 13 10 7 4 2 3 3 3 4 6 8 9 8 7 7 6 5 5 6 7 5 5 4 6 6 7 7 8
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