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 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 5 5 5 6 6 6 7 7 8 10 12 14 15 15 14 14 14 14 14 14 16 19 24 26 25 22 18 15 12 10 10 11 11 11 11 10 9 7 6 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 2 -0 -1 1 3 4 5 5 5 5 6 8 11 13 17 22 25 26 23 19 15 12 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 7 7 8 9 9 9 10 12 14 16 17 17 15 12 10 9 8 7 8 10 14 16 15 13 10 9 7 6 6 7 8 8 9 9 9 9 7 5 4 4 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 4 1 -2 -2 1 3 5 5 6 6 8 10 14 17 20 23 29 36 37 33 30 26 22 18 14 10 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 nan
nan 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 5 5 5 7 9 10 10 10 10 10 11 12 13 14 14 14 11 8 5 3 2 2 3 4 5 6 6 6 5 5 5 5 5 6 6 6 7 8 10 11 12 10 6 4 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 3 0 -2 -2 1 3 4 5 6 8 10 14 18 21 21 20 23 30 33 33 33 34 32 28 22 16 12 9 8 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 nan
nan 4 4 4 3 3 3 3 3 3 3 3 3 4 4 6 8 11 12 12 11 8 7 9 10 11 11 11 10 10 10 10 10 10 10 9 7 5 3 2 2 3 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 8 11 13 15 15 10 7 6 6 6 6 5 5 5 5 5 4 5 5 6 6 5 3 -0 -2 -1 2 3 5 6 7 9 11 15 19 19 15 11 11 13 18 23 28 33 36 35 32 25 18 12 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 nan
nan 4 4 4 3 3 3 3 3 3 3 3 4 4 6 8 12 16 17 17 14 10 9 9 10 11 10 10 9 9 8 8 8 8 8 7 6 5 5 5 6 7 7 7 6 6 6 6 6 5 4 4 4 4 4 4 5 8 10 12 14 15 12 9 8 7 6 5 5 5 5 4 4 5 5 6 6 6 5 2 -1 -2 1 3 4 6 8 9 9 11 14 16 14 9 5 4 4 7 12 18 25 32 37 37 33 24 17 15 14 13 13 14 13 13 14 14 13 14 15 16 16 16 16 15 13 12 10 9 8 8 8 7 7 7 nan
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nan 4 4 3 3 3 3 3 4 4 5 6 7 7 8 9 10 11 11 11 10 10 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 5 5 4 2 2 1 1 1 2 2 2 3 3 4 4 4 5 7 8 7 7 8 8 7 7 6 5 5 5 5 6 6 7 7 7 6 3 -1 -2 -0 3 5 7 9 10 10 10 10 9 10 11 12 12 11 9 7 6 7 9 14 19 23 24 23 21 20 20 22 24 27 30 29 27 25 24 25 26 30 33 34 35 35 33 31 28 26 22 20 19 18 18 18 nan
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nan 6 7 6 5 5 5 5 5 5 5 5 5 5 3 2 2 4 5 6 7 6 6 6 7 7 8 8 8 8 7 7 7 7 6 7 8 9 9 10 10 9 8 8 8 8 8 7 7 8 8 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 8 7 5 3 -0 -2 -0 4 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 nan
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nan 7 7 9 9 10 10 10 7 4 4 5 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 9 10 10 8 5 3 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 6 5 5 4 5 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 9 9 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 5 5 6 6 6 6 7 8 9 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 9 9 10 10 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 4 3 3 4 6 7 9 9 9 9 9 8 7 7 6 7 7 6 6 6 7 7 7 7 6 7 7 7 7 7 9 10 10 9 8 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 nan
nan 7 9 11 11 11 10 8 6 5 6 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 7 5 3 3 4 5 6 8 9 10 9 9 8 7 7 7 7 7 7 6 7 7 7 7 6 6 7 7 7 7 8 10 12 12 11 10 8 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 nan
nan 9 11 12 11 10 9 6 4 4 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 4 4 4 5 7 8 9 9 8 8 8 7 7 8 7 7 7 7 7 8 8 7 5 6 6 6 7 8 10 12 14 13 11 8 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 6 7 7 7 7 7 7 8 nan
nan 10 11 10 9 8 7 5 4 5 7 7 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 7 7 8 8 9 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 5 4 4 4 5 6 8 9 9 9 9 8 8 7 8 8 7 7 7 8 8 8 7 6 5 6 6 7 7 8 10 11 12 11 9 6 4 5 6 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 nan
nan 9 9 8 8 8 8 5 4 5 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 6 5 4 4 4 6 7 8 9 10 9 9 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 8 6 4 5 6 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 6 6 6 7 7 7 8 8 nan
nan 8 9 10 10 9 7 4 4 5 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 7 7 8 8 7 6 5 5 5 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 8 7 6 4 4 4 4 6 7 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 5 5 5 6 6 7 7 7 8 8 nan
nan 9 10 11 9 7 4 3 3 5 7 8 9 9 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 6 7 7 6 5 5 5 5 6 6 7 7 8 9 10 10 11 10 10 10 10 10 11 11 11 10 9 8 8 9 9 10 10 9 8 7 6 5 4 4 4 5 6 7 7 8 8 8 8 8 9 9 8 8 8 7 8 8 8 7 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 5 6 6 7 7 7 8 8 8 nan
nan 10 10 9 6 3 2 2 4 6 8 9 9 8 8 9 9 9 10 11 10 9 7 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 6 7 8 9 11 11 11 10 10 10 10 11 12 12 12 11 10 10 9 10 10 10 10 9 8 6 5 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 8 8 8 9 9 9 8 8 9 9 10 10 10 9 8 7 6 5 4 4 5 5 6 7 7 8 8 8 8 8 nan
nan 9 8 6 4 2 3 4 6 7 8 9 9 8 8 9 10 10 10 10 9 8 8 7 7 6 7 7 6 6 6 7 7 7 7 6 5 6 6 7 7 8 10 11 12 11 10 10 9 10 11 13 13 13 12 12 11 10 10 10 11 10 9 7 5 4 3 3 4 5 6 7 7 7 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 6 7 7 8 8 8 8 8 9 9 9 9 10 11 11 12 11 10 9 7 5 5 4 4 4 5 6 7 7 8 8 8 8 8 8 nan
nan 9 8 6 4 4 5 6 7 8 8 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 6 6 7 8 9 11 11 11 11 10 9 9 10 11 13 14 14 13 12 11 10 10 11 11 10 8 6 4 3 3 4 4 5 6 7 7 7 7 8 8 8 7 6 6 7 8 9 9 8 7 6 6 7 7 7 7 7 8 8 8 7 6 6 6 6 6 7 7 7 7 8 9 10 11 12 14 15 14 13 10 7 5 4 4 4 4 5 6 7 8 8 8 8 8 7 7 7 nan
nan 10 8 6 6 6 7 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 7 7 8 10 11 11 11 10 9 9 9 10 11 12 13 13 13 13 11 10 10 10 10 10 8 6 4 3 3 4 5 6 7 7 7 7 7 8 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 7 7 8 8 8 7 6 5 5 5 6 6 6 6 6 7 8 9 10 11 13 15 15 14 11 7 4 3 3 4 5 6 7 8 8 9 8 8 8 7 7 7 6 nan
nan 8 7 6 6 7 7 8 9 9 9 9 9 10 11 10 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 9 11 11 10 9 8 8 9 9 10 11 11 12 12 12 11 11 10 10 10 10 9 6 5 4 4 5 6 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 6 5 5 5 6 6 6 6 6 7 8 9 9 9 10 11 11 11 9 4 1 1 2 3 5 6 7 8 9 9 9 8 8 7 7 6 6 6 nan
nan 6 5 5 6 7 8 9 10 11 11 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 10 10 9 8 6 5 5 5 6 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 7 3 -1 -3 0 3 5 7 8 9 10 10 9 9 8 7 7 6 6 5 5 nan
nan 5 5 6 7 8 9 10 11 12 11 9 9 9 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 11 9 7 5 4 4 5 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 7 8 8 7 5 1 -2 -0 4 7 9 10 10 10 10 10 9 8 7 7 6 5 5 5 5 nan
nan 7 7 8 8 9 10 11 12 12 10 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 6 6 6 7 8 9 10 10 11 11 11 10 9 9 9 9 10 11 12 12 9 6 4 2 2 4 6 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 6 4 1 1 5 9 11 12 11 11 10 10 9 8 7 7 6 5 5 5 5 5 nan
nan 8 7 8 9 10 11 12 12 11 9 7 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 8 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 10 10 9 9 9 9 10 10 9 6 3 1 1 3 6 9 10 11 11 10 9 8 7 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 4 5 8 13 16 15 13 12 11 10 9 8 7 6 6 5 5 5 5 5 5 nan
nan 6 6 7 9 11 12 12 11 10 8 7 6 6 7 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 9 8 8 8 8 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 5 3 2 4 6 9 11 12 11 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 10 14 17 17 15 14 13 12 10 8 7 6 5 5 4 4 5 5 5 6 nan
nan 4 4 6 10 11 11 10 9 8 7 6 6 7 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 9 8 8 7 7 6 6 7 7 8 8 9 9 9 10 10 11 11 10 9 8 6 5 4 5 8 10 11 12 11 10 9 9 10 10 9 9 8 8 8 7 7 7 7 8 7 7 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 13 14 13 12 12 12 10 8 6 5 4 4 4 4 5 5 5 6 6 nan
nan 3 2 6 9 10 10 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 9 9 8 8 7 6 6 6 6 7 7 7 8 8 9 10 10 9 9 8 7 6 5 6 8 10 11 11 10 9 8 9 10 10 10 10 9 9 9 8 8 8 8 8 6 5 5 5 5 5 6 7 8 8 9 9 8 8 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 9 9 8 9 9 9 9 8 9 9 9 7 5 3 3 4 4 4 5 5 5 5 6 6 nan
nan 2 2 5 8 9 9 8 7 6 5 5 6 7 8 8 9 9 10 10 9 8 8 8 8 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 6 6 7 7 7 6 6 7 8 8 8 8 7 6 6 6 6 7 9 10 10 9 8 7 8 9 10 10 11 11 10 10 9 9 9 9 9 8 6 5 5 5 4 4 5 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 8 9 9 10 10 9 8 8 7 6 5 5 4 3 2 0 0 3 4 5 5 6 6 6 5 5 5 nan
nan 3 5 7 9 10 9 8 7 6 6 7 7 8 9 9 9 10 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 8 7 7 6 6 6 7 7 7 6 6 5 6 6 6 7 9 9 9 8 8 7 8 10 10 11 11 12 11 11 10 10 10 10 9 8 7 7 6 6 5 5 6 6 6 7 7 7 7 8 9 10 9 8 8 9 9 8 8 9 9 9 9 10 11 11 10 9 8 7 6 5 2 -0 -1 -2 -3 -4 -1 3 5 6 6 6 5 5 5 5 5 nan
nan 7 8 10 10 11 10 8 8 7 7 8 9 9 9 10 11 11 10 9 7 6 6 7 7 7 7 7 7 8 9 8 7 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 8 8 9 9 9 9 9 9 8 9 9 11 11 10 9 8 7 7 6 4 1 -1 -1 -1 -2 -1 3 5 6 6 6 5 5 5 5 5 6 nan
nan 10 10 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 9 8 6 6 7 7 7 7 7 8 9 10 9 8 7 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 7 7 7 7 7 6 6 6 5 5 4 3 3 4 5 6 7 7 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 10 10 9 8 8 7 7 7 8 8 7 8 8 9 9 10 10 9 9 9 9 10 11 10 9 7 6 6 6 5 4 4 5 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 nan
nan 10 10 11 11 11 10 9 9 8 9 8 8 8 8 9 10 10 9 7 7 8 9 8 7 7 8 9 10 9 8 7 7 7 7 8 8 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 4 3 4 5 5 6 7 7 7 6 6 7 7 8 9 10 10 10 10 9 9 9 10 10 11 11 11 10 11 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 6 7 8 10 12 11 9 8 7 6 5 5 4 4 4 5 5 6 6 nan
nan 10 10 10 10 10 10 9 9 8 8 7 6 6 8 9 10 10 9 8 8 9 9 8 7 8 8 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 6 6 6 6 6 5 5 5 5 6 7 8 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 8 7 7 8 8 8 8 8 9 10 11 11 9 6 5 5 5 4 4 4 4 4 5 6 6 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 1 9 17 24 29 30 30 31 35 42 48 51 52 48 46 58 57 46 44 46 48 45 31 38 67 90 106 117 129 149 179 226 293 377 452 520 570 581 570 463 333 262 262 327 452 568 534 504 406 228 112 52 24 12 10 15 36 67 63 53 47 45 45 44 45 52 65 75 81 90 99 111 116 116 129 169 224 280 337 343 261 170 198 269 347 421 468 491 487 470 427 363 278 210 150 128 119 120 105 85 71 63 62 76 93 104 102 90 73 66 57 44 40 51 72 89 99 120 187 256 310 333 343 344 330 289 246 229
0 0 0 0 0 0 0 3 12 20 27 30 31 30 31 37 46 50 49 50 48 50 49 48 54 71 105 153 149 108 126 218 281 340 381 403 427 465 518 575 575 527 484 481 489 511 476 400 345 332 364 414 371 301 263 215 169 119 69 32 15 13 24 54 70 74 74 71 69 67 63 63 77 96 100 103 107 111 117 123 128 145 169 182 208 276 338 325 264 351 449 567 705 872 1024 1073 1010 875 734 550 397 306 249 228 213 177 134 106 84 74 83 97 116 122 114 100 89 82 75 69 68 83 95 104 121 149 202 254 306 349 342 306 239 207 196
0 0 0 0 0 0 1 6 14 22 27 31 32 33 36 40 44 48 58 60 51 61 75 103 190 338 394 480 465 330 294 456 670 860 984 980 881 844 793 751 504 332 221 168 193 250 277 275 275 266 214 149 69 52 52 66 91 93 65 46 44 20 40 72 85 95 101 103 99 93 85 80 94 110 107 101 100 102 110 119 128 146 163 168 192 255 327 364 399 522 666 854 1117 1405 1565 1527 1443 1277 1125 976 822 670 507 386 325 272 207 154 113 88 94 111 123 131 130 123 114 109 104 98 102 111 112 123 142 157 189 235 274 323 338 328 255 215 192
0 0 0 0 0 0 2 9 17 23 27 30 33 35 41 42 44 76 133 198 242 237 198 269 572 952 812 758 700 478 395 602 861 963 1010 1053 910 777 483 272 160 108 73 54 67 100 117 100 74 73 53 24 5 1 1 12 33 41 35 38 60 33 43 83 108 119 126 126 119 109 99 89 88 90 88 81 76 82 97 112 121 132 157 199 228 340 371 431 537 672 843 1077 1403 1643 1446 1109 996 1053 1058 1094 1172 1123 934 730 556 418 305 218 157 125 123 134 140 141 141 143 142 150 142 135 144 165 166 182 195 190 196 216 234 253 268 302 275 251 236
0 0 0 0 0 0 3 12 20 25 30 34 36 37 43 67 129 291 525 733 836 668 361 361 739 964 675 543 493 412 457 602 683 625 517 462 457 409 245 109 72 76 79 72 63 69 80 49 18 11 4 1 0 0 0 0 0 4 11 18 43 45 43 56 103 126 133 132 121 110 100 88 75 66 61 54 56 67 87 107 120 131 164 235 263 335 399 514 670 819 923 1061 1289 1254 837 504 387 463 625 807 1032 1167 1144 1016 839 635 455 334 257 211 191 181 171 170 179 199 205 214 206 197 217 270 297 303 289 257 237 219 233 243 250 264 270 267 262
1 0 0 0 0 2 6 13 20 27 33 40 51 66 99 209 436 750 1059 1231 1237 950 464 283 457 455 289 278 364 458 574 595 519 435 361 308 337 307 222 145 116 125 127 110 83 67 71 59 49 17 2 0 0 0 0 0 0 1 3 5 15 30 45 53 83 111 124 124 112 98 89 77 63 47 39 35 41 58 81 103 121 133 150 219 281 333 419 575 787 926 898 842 848 633 491 456 472 513 551 619 736 857 972 1090 1061 862 664 521 416 353 324 295 270 306 340 361 355 365 393 410 436 486 513 500 457 405 351 315 301 289 277 283 306 323 322
0 0 0 0 0 4 10 17 28 44 55 68 122 155 218 400 646 885 950 823 611 395 231 221 286 246 321 435 564 636 667 608 498 470 506 571 501 366 279 218 178 170 156 119 82 60 51 39 16 4 0 0 1 1 0 0 1 2 1 0 2 13 35 58 81 99 109 108 96 82 73 65 54 40 30 29 35 50 74 99 118 134 159 222 305 403 505 640 809 874 753 630 541 494 662 771 792 725 601 525 561 680 846 1202 1268 1046 843 705 621 580 576 612 657 667 672 640 630 650 708 779 829 841 843 825 761 668 566 493 450 410 381 381 391 396 389
0 0 0 0 2 6 15 26 43 76 121 167 239 257 290 352 374 379 351 275 207 196 275 389 440 425 618 628 606 559 492 433 410 417 404 358 311 276 246 218 189 173 150 107 72 60 33 15 2 0 0 0 0 0 0 0 1 4 4 2 0 2 10 27 50 69 82 85 82 76 68 58 44 32 25 27 35 48 79 110 139 161 183 255 385 528 607 653 707 689 598 536 536 709 861 840 721 575 449 394 409 497 646 904 1010 952 834 742 702 707 732 816 946 1011 975 880 852 863 909 994 1086 1131 1138 1143 1050 948 842 751 684 621 566 538 524 527 513
2 0 0 2 7 13 21 30 48 88 148 207 288 286 269 240 197 187 220 294 435 595 592 626 600 571 601 493 386 314 269 268 299 319 312 268 230 199 196 189 170 148 121 84 50 32 13 4 0 0 0 0 0 0 0 0 1 3 6 4 1 0 2 7 16 32 52 67 73 72 63 46 30 21 22 29 36 53 92 138 168 173 196 288 463 610 630 594 574 550 533 537 584 636 635 613 581 514 418 364 341 359 404 483 551 581 581 575 572 568 589 684 854 969 974 860 778 781 841 943 1065 1168 1168 1182 1169 1129 1080 1038 971 885 820 793 802 828 857
6 2 0 7 23 27 24 33 62 105 142 202 329 349 287 230 208 224 299 434 605 788 691 711 593 459 333 242 187 165 176 211 241 251 259 263 245 211 187 158 121 92 71 44 21 8 4 2 0 0 0 0 0 0 0 0 2 1 3 3 1 0 0 0 1 8 30 49 58 56 45 28 16 13 14 21 32 52 95 155 174 176 214 334 517 634 588 505 479 473 505 512 494 453 436 471 504 498 458 434 428 420 402 391 396 398 396 408 422 407 403 448 563 630 611 534 471 478 548 623 715 879 906 948 1016 1061 1090 1133 1129 1075 1042 1076 1094 1103 1119
16 5 2 13 37 38 32 46 73 132 164 196 393 537 456 355 360 339 342 528 634 695 672 621 480 326 203 128 95 92 115 146 163 153 147 160 167 147 115 80 53 36 25 15 9 7 4 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 5 20 34 30 22 13 8 7 8 15 29 52 83 127 150 174 232 360 528 585 488 430 426 432 452 425 375 342 353 387 397 406 433 454 470 465 470 454 416 404 367 313 297 291 290 293 272 225 214 243 259 272 299 312 336 400 465 520 565 611 693 768 866 897 920 945 976 980 966
49 18 13 19 39 48 56 76 101 182 293 459 677 735 647 514 422 359 377 516 464 492 523 442 322 214 126 68 43 41 51 53 50 43 37 25 18 26 25 14 6 7 6 6 6 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 11 8 7 6 5 6 13 25 51 71 87 111 156 230 345 467 444 387 380 390 394 378 335 283 242 215 221 240 257 271 310 331 330 317 299 285 251 205 184 182 182 180 178 176 180 191 205 210 215 216 218 222 221 229 246 254 259 287 305 319 380 470 486 486 489 498
108 72 55 53 66 79 88 110 155 239 382 570 711 772 751 626 463 364 363 370 285 300 374 327 210 130 78 37 17 14 14 8 5 4 3 1 0 0 0 0 0 0 1 2 4 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 8 19 42 58 62 78 127 199 265 312 303 310 331 343 330 296 247 193 151 128 126 151 174 169 184 198 197 184 159 147 136 121 117 117 117 116 119 130 148 165 167 166 171 177 186 196 197 191 183 178 170 162 146 143 150 187 214 229 256 270
141 115 101 97 101 101 100 122 176 239 318 406 507 639 714 677 564 443 339 261 197 232 213 210 148 85 43 16 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 5 8 10 9 14 26 34 35 50 99 161 204 232 238 246 263 276 261 217 166 122 94 88 102 112 125 122 124 126 116 105 104 95 89 85 82 80 76 71 67 68 72 73 88 98 98 95 100 104 108 114 116 114 112 125 128 137 146 159 181 218 262 275
150 119 95 83 89 92 79 100 164 202 226 269 343 488 626 659 570 423 304 254 232 230 187 141 97 55 22 6 1 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 1 1 1 5 8 9 9 10 13 13 16 37 81 128 156 170 179 182 194 205 190 149 105 74 58 53 61 67 68 66 63 60 55 48 36 42 45 45 46 46 42 41 41 38 39 40 47 51 54 58 57 53 49 44 47 56 59 66 77 95 113 129 154 196 219 254
186 132 72 41 60 97 95 97 167 197 216 267 353 472 588 616 518 389 297 298 273 218 155 102 57 25 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 1 2 1 3 6 8 7 6 6 5 10 26 51 74 89 99 118 131 142 146 129 96 66 48 40 34 33 31 29 26 24 24 27 27 25 21 17 15 17 21 18 12 4 10 12 10 20 27 32 36 40 40 31 33 27 31 33 33 35 43 53 63 99 138 169 220
177 121 55 13 25 72 96 85 130 182 231 265 332 454 587 624 514 407 326 303 257 190 124 66 27 10 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 1 1 3 2 2 4 5 6 5 3 2 5 10 19 29 44 52 68 92 109 106 85 60 40 29 24 20 17 15 11 8 8 9 11 11 9 7 5 3 4 6 4 1 0 0 0 0 5 10 13 15 15 20 16 16 16 17 16 16 20 23 26 33 56 79 102 135
107 63 27 4 5 18 38 47 91 171 263 309 360 462 604 688 592 472 389 308 213 131 71 32 12 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 1 2 4 3 3 4 3 2 0 0 0 2 5 9 14 20 19 31 61 82 73 53 37 25 17 12 9 7 4 2 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 9 9 9 9 9 8 7 6 10 10 12 21 39 63 90
37 15 6 1 0 1 9 39 114 199 285 341 422 560 708 763 654 496 378 253 143 74 35 17 11 6 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 1 2 4 3 4 3 2 1 0 0 0 0 4 7 10 12 14 23 41 57 44 30 21 15 11 9 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 7 7 7 7 7 6 6 5 5 6 8 11 19 32 46
2 1 0 0 0 1 5 29 88 168 254 349 493 667 775 735 560 378 258 151 79 40 23 17 12 6 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 1 3 3 3 2 2 2 1 0 0 0 0 0 4 6 8 10 12 16 27 31 23 18 14 11 9 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 6 6 5 5 4 3 3 1 4 6 8 9 10 12 17
0 0 0 0 0 1 4 22 65 136 226 343 495 637 678 582 395 230 123 71 46 29 19 15 12 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 1 2 4 4 3 2 2 1 0 0 0 0 0 1 4 6 8 10 11 15 18 18 16 14 12 10 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 4 4 3 1 1 1 0 2 4 6 7 6 2 8
0 0 0 0 0 3 10 35 71 129 216 323 436 523 518 399 277 129 67 46 33 22 14 12 11 9 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 1 2 2 3 3 2 1 0 0 0 0 0 0 2 4 6 7 9 10 10 12 12 11 11 11 10 8 7 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 2 1 0 0 0 1 2 3 5 6 2 2
0 1 3 1 1 8 22 44 75 129 208 299 373 407 386 259 164 88 50 31 19 12 8 9 11 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 1 3 5 6 8 9 9 10 10 10 10 10 10 9 7 4 3 3 1 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 0 0 0 0 0 0 1 1 4 4 5
2 6 6 1 0 10 26 44 73 132 223 303 317 298 257 158 85 49 28 15 9 7 6 7 10 11 10 8 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 1 4 6 7 9 9 9 10 9 9 9 9 8 6 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 0 0 0 1 2 5
4 7 5 0 0 6 19 46 112 194 268 304 271 217 144 77 42 23 12 9 10 10 9 10 10 10 10 7 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 2 3 5 7 8 9 9 8 8 8 7 6 5 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 1
2 3 2 0 0 6 19 51 106 169 215 214 158 96 55 32 25 16 13 15 13 12 12 12 10 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 8 7 7 6 5 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 0 0 0 0 0 0 0
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23 19 3 2 2 10 16 20 24 33 45 38 23 14 8 5 7 10 11 11 9 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 1 2 4 4 4 4 5 5 5 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
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