Vorticity
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nan 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 5 6 6 7 7 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 4 5 6 7 6 6 6 7 8 9 9 9 8 7 6 6 5 5 4 4 5 6 6 7 7 8 7 6 4 3 3 5 7 11 19 26 28 24 20 18 18 18 19 20 21 20 19 18 18 18 16 16 16 17 19 22 25 29 32 32 25 17 11 9 9 9 8 8 8 7 6 6 5 5 5 5 5 5 4 4 3 3 nan
nan 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 4 5 6 7 8 8 7 6 7 8 9 9 9 8 6 5 5 5 5 5 5 6 7 7 8 10 10 10 8 6 5 6 7 11 18 28 35 34 27 22 19 17 15 14 16 17 17 16 17 17 16 14 14 15 16 18 21 25 30 36 38 33 23 17 14 12 13 13 13 12 11 9 8 6 6 5 5 5 5 5 5 5 5 nan
nan 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 8 8 7 6 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 4 5 6 7 8 8 9 8 7 6 6 7 8 8 6 5 4 5 5 5 5 6 7 7 8 10 12 13 12 10 8 8 8 9 13 22 29 31 28 24 20 17 15 12 11 12 12 12 12 12 11 10 10 9 10 11 13 15 20 25 30 32 29 24 19 17 16 17 19 20 20 19 16 12 9 7 6 6 6 7 7 7 7 7 nan
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nan 7 7 8 9 9 9 8 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 6 5 5 6 8 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 9 9 8 7 4 -1 -3 -1 2 4 5 5 5 4 4 4 4 4 5 5 6 6 5 5 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 8 9 9 8 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 8 7 6 5 5 6 7 8 9 9 9 8 8 7 7 7 6 6 7 7 7 8 8 8 8 7 7 8 8 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 6 2 -1 -2 -0 1 3 4 4 3 3 3 3 4 4 5 6 6 5 5 5 5 6 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 9 9 10 9 8 7 7 7 7 7 7 6 6 6 6 7 7 9 9 9 9 8 7 6 6 5 5 7 8 10 10 9 9 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 9 9 9 8 7 7 7 7 7 7 8 9 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 6 3 1 -0 -0 1 2 2 1 1 2 2 3 4 4 5 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 9 10 10 9 7 6 6 6 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 8 7 6 6 6 8 9 10 10 10 10 9 8 7 6 6 6 7 7 7 7 7 8 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 9 9 9 9 8 6 5 5 5 5 6 7 7 7 8 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 7 5 3 2 2 2 2 1 -0 -0 1 2 3 4 5 5 5 5 5 5 5 5 6 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 10 10 9 8 7 6 5 6 6 7 7 7 7 7 6 6 6 7 8 8 9 9 10 10 9 8 7 7 7 8 9 11 12 12 11 9 8 7 7 7 7 7 7 6 7 7 7 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 9 8 8 6 6 5 5 5 6 7 7 8 8 8 7 7 7 8 9 9 8 8 8 7 7 6 6 7 7 7 6 6 6 6 5 3 -0 -2 -1 2 3 4 4 5 5 5 5 5 5 5 5 6 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 7 6 5 6 6 7 7 7 7 7 7 6 6 6 7 8 9 9 10 10 10 8 7 7 7 7 8 10 11 12 11 11 10 9 8 7 7 7 6 6 6 6 6 6 7 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 7 7 7 5 2 -1 -1 1 2 3 4 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 7 6 6 6 6 7 7 7 8 7 7 6 6 6 6 6 7 8 8 9 9 8 7 6 6 7 7 7 8 8 9 10 11 11 10 8 7 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 6 4 2 1 0 1 2 4 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 9 10 10 9 7 5 5 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 6 6 7 8 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 7 6 6 6 6 6 6 7 7 7 8 7 7 7 6 5 4 2 1 1 3 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 nan
nan 9 10 10 8 6 4 5 6 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 6 5 5 4 5 5 6 6 7 6 6 6 7 9 9 9 9 8 8 7 7 6 6 7 7 7 7 8 7 7 6 6 6 6 7 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 6 5 6 7 7 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 8 6 4 3 2 2 3 4 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 nan
nan 9 10 9 7 5 4 5 6 7 8 7 7 7 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 5 5 6 7 7 8 8 8 8 7 6 6 6 6 6 7 7 8 8 7 7 6 5 5 5 6 6 7 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 6 4 3 2 3 4 5 6 5 5 4 4 4 5 5 6 6 7 7 7 7 8 8 7 7 7 7 7 6 nan
nan 9 9 8 7 5 5 5 6 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 7 8 8 7 6 6 6 6 6 7 8 8 8 8 7 7 6 6 5 5 6 7 7 7 8 9 8 8 7 8 8 8 8 8 8 7 7 6 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 4 3 4 6 7 7 6 4 3 3 4 5 5 6 6 7 7 7 7 8 7 7 7 7 7 6 nan
nan 8 8 7 7 6 6 6 6 6 7 6 6 6 8 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 6 7 9 8 8 8 7 7 6 6 6 7 7 8 8 7 7 6 6 6 6 7 8 8 9 9 9 8 7 6 5 6 6 5 5 8 9 9 7 7 8 8 8 8 8 8 8 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 7 7 8 7 6 6 6 7 8 8 6 3 0 0 3 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 nan
nan 8 7 7 6 6 7 7 6 6 6 6 6 6 7 9 10 10 9 9 9 9 8 7 7 6 6 6 5 5 5 6 8 9 10 10 9 8 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 7 6 6 6 5 4 5 7 9 9 8 7 7 8 7 8 8 8 8 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 4 -1 -4 -2 3 4 5 6 6 6 7 7 7 7 7 7 7 7 6 6 nan
nan 8 6 6 6 6 7 7 7 6 6 7 6 6 6 7 9 9 9 9 8 8 7 7 6 5 5 6 5 5 5 5 6 8 9 10 10 9 8 8 8 8 7 7 8 9 9 8 7 7 8 8 8 7 7 7 7 7 7 6 6 5 4 4 5 7 8 8 8 8 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 7 5 0 -5 -6 -1 3 4 5 6 6 6 7 7 7 7 7 7 7 6 7 6 nan
nan 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 8 8 8 8 7 7 6 5 5 5 6 6 6 6 6 5 6 7 8 8 7 7 7 9 9 8 8 8 8 8 7 8 8 9 9 8 7 7 7 7 6 6 7 6 6 5 5 5 6 6 7 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 7 4 -2 -6 -4 1 4 5 5 5 5 6 6 7 7 7 7 7 7 7 6 7 nan
nan 8 7 6 5 5 6 7 8 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 5 4 4 5 7 7 7 6 6 5 6 6 6 5 4 6 8 10 10 9 8 7 7 7 7 7 8 9 9 8 9 9 8 7 7 8 8 7 5 5 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 7 8 10 11 11 10 9 9 8 8 8 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 7 3 -3 -4 -0 4 6 6 5 5 5 5 6 6 7 7 6 7 6 6 7 7 nan
nan 8 7 5 4 5 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 7 7 7 7 6 6 6 6 5 4 4 6 9 10 10 9 7 7 7 7 7 7 8 8 10 11 11 9 8 8 9 9 8 6 5 5 5 5 6 7 7 7 7 7 8 8 8 7 7 6 6 7 9 11 11 10 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 8 7 3 1 2 7 10 9 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 8 7 6 6 7 8 9 8 7 6 5 6 7 7 7 7 7 8 8 7 7 7 7 6 5 4 5 6 7 7 8 7 6 6 7 7 6 5 4 5 7 8 9 9 9 8 8 8 8 8 7 7 9 10 10 9 8 8 9 9 8 7 7 7 6 6 6 7 6 6 6 7 8 8 8 6 5 5 6 7 9 10 10 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 6 7 10 13 13 11 9 8 7 6 5 5 5 6 6 6 6 7 7 7 7 nan
nan 8 7 7 7 8 8 8 8 6 5 5 6 6 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 7 7 7 6 6 7 8 8 8 7 5 4 4 5 7 10 11 10 9 9 9 9 7 6 6 7 8 8 8 9 10 10 9 8 9 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 8 8 8 8 7 7 6 6 7 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 8 8 9 8 8 9 12 12 11 10 10 9 7 6 4 4 5 6 6 6 6 7 7 7 7 nan
nan 8 7 7 8 9 9 8 7 6 4 4 5 6 7 7 8 8 8 8 9 9 8 7 7 6 5 5 6 6 6 5 5 6 8 9 9 9 8 6 5 4 4 6 10 11 11 11 11 11 9 7 6 5 6 7 9 9 11 11 11 9 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 5 6 7 8 7 7 6 7 6 6 7 8 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 8 9 9 9 9 9 10 9 7 4 2 4 5 6 6 6 7 7 7 7 7 nan
nan 8 7 7 7 8 9 9 7 5 3 4 5 6 7 7 8 8 8 9 10 9 8 8 7 6 5 5 5 5 5 5 6 7 9 11 10 9 8 7 6 5 4 6 8 10 11 11 12 12 10 9 9 9 9 10 11 12 12 12 10 8 7 6 6 7 7 7 8 8 9 8 8 8 8 7 6 6 7 8 8 7 6 6 7 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 6 6 6 6 4 1 1 4 6 7 7 7 7 7 7 7 7 nan
nan 7 7 6 7 8 10 9 7 5 3 3 4 6 7 8 8 9 9 10 9 9 8 7 7 6 5 5 5 5 5 6 7 8 10 11 10 9 8 7 7 6 5 6 7 8 8 9 10 11 11 11 11 12 13 13 13 13 13 11 9 8 7 7 6 6 6 7 7 8 9 9 9 9 8 8 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 9 10 10 8 5 1 0 1 2 0 -1 2 5 7 8 8 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 9 7 5 4 3 4 6 7 8 9 10 10 9 8 7 7 7 6 6 5 5 5 5 7 7 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 6 7 9 10 11 12 13 14 15 15 15 14 12 10 9 8 9 8 7 7 6 7 7 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 7 2 -1 -2 -0 2 1 2 5 8 9 8 8 8 8 8 7 7 7 nan
nan 8 7 7 7 8 9 9 7 5 4 4 5 6 8 9 10 10 10 9 7 6 8 8 7 7 6 6 6 6 7 9 9 9 8 7 8 8 7 7 7 7 7 7 6 6 5 5 6 8 9 9 9 10 11 13 14 15 15 15 13 11 11 11 11 9 8 7 6 6 7 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 6 4 3 3 5 5 5 7 8 9 9 9 8 8 8 8 8 7 7 nan
nan 8 7 6 7 7 8 8 7 6 4 3 4 6 8 9 10 10 10 8 6 6 8 9 8 7 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 7 7 7 7 6 5 5 5 7 8 8 7 7 7 9 11 13 14 14 14 13 12 12 12 12 10 9 7 6 6 6 7 8 8 8 9 10 10 10 11 11 11 10 10 10 9 9 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 8 9 9 11 10 9 8 8 8 9 9 8 7 7 7 8 8 7 6 7 8 9 9 8 8 8 8 7 7 7 7 nan
nan 9 7 6 6 7 8 8 7 6 5 3 3 5 7 9 10 11 10 8 7 7 8 8 8 7 6 6 6 6 7 8 9 9 7 6 6 7 9 9 9 8 7 7 7 7 7 6 6 7 8 7 7 7 6 6 7 9 10 11 11 11 11 11 12 13 12 11 9 7 6 6 7 7 8 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 8 9 10 9 8 8 8 9 10 10 10 10 9 9 9 7 3 2 4 7 8 8 8 8 8 7 7 7 7 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
29 33 39 45 58 82 84 47 31 28 25 24 24 22 20 20 17 13 10 14 25 40 61 80 81 65 52 48 48 53 56 39 25 14 7 3 2 1 1 3 11 19 18 40 53 47 40 26 10 3 1 0 0 0 0 0 14 29 36 38 42 47 44 38 33 17 8 4 5 4 3 3 2 1 1 1 0 0 0 0 0 1 41 98 120 144 240 389 451 380 369 473 625 716 776 743 632 528 454 379 274 273 269 241 207 188 212 246 252 271 303 305 242 175 103 74 51 36 35 42 52 60 65 67 67 66 75 89 96 98 104 112 119 139 166
48 54 60 62 59 78 83 72 55 39 28 24 26 24 18 19 13 15 16 23 34 78 139 169 140 85 56 53 42 39 28 15 9 5 2 1 1 1 2 6 17 34 30 28 31 23 13 5 1 0 0 0 0 0 0 3 14 23 27 27 31 39 34 27 23 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 59 141 178 261 520 864 1014 777 645 677 729 703 657 679 702 520 390 367 337 364 409 367 287 267 326 379 344 327 371 448 478 318 190 130 101 76 63 63 65 73 74 80 83 82 94 116 131 133 129 117 109 125 166
82 78 86 81 72 77 80 83 74 59 47 44 52 52 32 19 11 17 25 53 96 168 237 236 160 96 73 68 48 31 11 3 2 2 2 3 3 2 1 2 5 30 28 14 11 9 4 0 0 0 0 0 0 0 0 6 14 19 19 20 29 35 25 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 49 149 270 496 1007 1535 1664 1277 991 905 884 781 607 586 770 587 442 387 378 369 367 311 280 352 436 480 428 374 413 564 729 564 330 213 179 150 124 123 133 138 121 110 107 104 112 132 144 142 130 133 134 164 213
106 99 98 93 86 83 80 78 78 77 71 68 83 86 59 37 29 33 48 97 185 288 345 305 193 127 82 63 42 20 7 3 2 2 3 3 4 3 2 3 8 18 17 12 8 4 1 0 0 0 0 0 0 0 0 4 9 10 8 11 18 20 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 45 170 419 953 1363 1618 1606 1367 1152 1099 1113 954 647 522 634 556 421 355 334 312 303 341 427 471 474 496 477 409 458 597 697 610 430 319 297 275 259 266 280 284 240 186 150 133 125 124 123 129 130 161 188 229 284
87 81 91 97 91 97 101 99 96 91 75 66 82 97 78 55 51 59 95 208 343 424 420 332 198 104 47 33 21 9 3 3 3 3 3 3 3 4 4 5 8 11 10 9 7 3 0 0 0 0 0 0 0 1 3 5 6 5 3 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 42 203 649 1184 1244 1108 1010 965 931 969 1024 913 633 463 408 349 314 305 308 313 330 386 461 444 370 406 427 401 450 542 565 501 441 410 390 370 368 396 426 458 425 331 238 175 141 95 115 148 172 205 248 300 368
72 71 81 95 103 126 133 124 113 99 80 73 79 91 84 66 67 92 150 334 501 519 431 282 157 63 24 16 11 5 2 2 2 2 2 2 2 4 6 8 9 8 7 6 5 2 0 0 0 0 0 0 0 1 6 8 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 26 10 28 96 354 789 1011 861 690 668 688 667 661 583 387 318 335 298 258 246 256 266 269 274 278 244 210 224 276 334 370 406 426 410 405 409 410 406 402 407 442 499 570 614 555 399 219 166 152 167 191 218 254 308 390 510
71 66 79 93 120 142 150 146 133 118 104 92 84 90 115 116 151 180 263 406 505 478 347 200 97 34 16 10 8 4 1 1 1 1 1 1 1 3 4 5 5 5 4 3 2 0 0 0 0 0 0 0 0 2 7 10 6 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 33 119 172 105 100 246 533 716 661 587 590 609 594 533 467 354 227 222 260 234 198 185 190 200 198 195 192 159 153 163 199 252 293 316 338 349 325 355 374 429 437 416 403 480 680 867 912 584 322 233 204 218 259 296 343 446 604 814
72 77 84 97 139 161 178 186 175 156 142 118 112 119 201 226 258 264 332 432 434 329 202 108 48 22 13 9 5 2 0 0 0 0 0 0 0 1 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 7 7 2 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 113 332 428 382 318 446 659 599 424 444 535 491 417 403 360 338 232 215 228 215 175 140 134 145 151 160 163 144 128 123 135 164 198 219 254 286 300 306 313 368 393 384 400 519 701 968 1136 755 513 391 333 349 429 522 618 737 860 997
69 80 83 104 145 174 188 194 198 201 195 177 199 245 346 382 382 335 302 312 294 197 105 48 21 14 8 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 1 3 5 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 106 334 533 665 707 852 834 591 398 398 427 353 300 284 243 244 198 192 215 218 188 140 117 132 164 166 142 108 89 85 90 100 123 142 168 200 234 241 229 241 272 305 338 371 401 648 812 735 625 564 588 647 691 782 877 944 947 885
73 92 87 97 142 185 199 193 203 255 325 320 385 475 530 501 397 276 207 201 201 143 63 25 11 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 51 168 390 586 637 648 564 427 351 331 287 260 249 207 162 146 140 150 164 173 173 145 121 123 122 114 99 85 77 75 72 69 73 80 83 87 144 172 171 173 210 285 327 288 284 355 446 487 510 548 623 741 760 732 751 743 756 769
93 102 90 100 148 199 210 194 225 350 520 542 609 665 638 527 410 317 249 206 139 71 20 7 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 4 22 81 216 340 356 307 272 291 303 277 235 247 247 215 165 132 117 97 76 91 109 101 97 93 81 75 71 67 65 65 61 56 54 52 57 59 69 89 106 118 151 217 254 271 272 277 281 292 330 380 428 515 547 511 496 475 490 513
114 126 114 114 141 178 194 207 303 508 653 650 700 696 598 458 329 247 215 167 81 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 44 144 240 272 275 303 307 264 226 236 237 229 196 151 125 112 93 75 66 63 60 66 71 68 63 60 58 59 61 58 53 50 48 50 50 50 52 60 70 90 109 129 155 185 209 223 226 228 250 267 272 293 323 327 320 317 317
140 167 155 159 169 181 216 302 475 671 674 651 691 663 520 368 259 185 139 81 26 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 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 1 13 45 124 199 225 215 202 214 219 233 229 206 185 152 117 97 85 66 54 50 49 53 58 61 61 59 59 59 58 60 56 52 48 47 45 42 39 39 43 47 54 55 66 87 98 112 143 157 151 180 184 197 222 225 208 190 182 186
172 202 216 223 245 278 352 523 639 712 643 622 626 568 442 309 205 133 79 26 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 1 1 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 1 13 46 94 140 165 166 176 189 190 189 169 146 132 112 85 71 62 50 44 45 46 48 51 53 54 54 54 54 54 54 52 49 45 43 40 37 35 35 35 38 38 38 42 50 57 64 83 94 95 101 111 118 126 124 108 86 73 77
194 220 232 275 383 483 552 712 662 636 608 600 584 494 360 241 154 86 36 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 27 55 91 114 123 139 145 134 132 114 96 90 84 76 67 58 45 42 42 44 46 48 48 48 49 47 48 49 49 47 45 44 42 39 34 32 32 33 33 33 34 33 31 32 37 50 69 87 94 88 77 70 62 54 43 36 39
220 222 254 361 539 677 697 708 602 569 578 586 534 402 260 168 113 55 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 34 60 79 90 88 83 81 85 81 73 69 68 66 60 54 46 46 46 45 45 46 46 46 45 45 45 44 43 43 42 42 42 40 34 32 31 31 30 30 31 31 27 23 23 33 46 56 54 48 48 49 45 34 29 27 30
261 291 353 452 583 698 700 620 542 527 546 540 464 333 199 115 84 43 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 0 0 0 0 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 12 18 25 41 59 64 58 60 62 61 61 60 56 54 51 48 47 48 49 48 46 45 45 45 45 44 43 42 41 40 40 40 39 37 31 31 30 30 29 28 29 29 29 27 26 25 26 28 30 31 34 31 29 23 20 19 18 21
238 266 319 395 491 585 588 531 507 498 515 494 391 259 162 99 64 42 16 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 4 9 13 15 20 31 41 47 46 44 44 44 45 47 47 47 46 46 48 49 49 47 46 45 45 44 44 42 40 37 35 34 33 32 32 30 27 26 27 27 26 27 27 28 32 29 27 28 29 29 30 31 29 26 22 18 16 13 13 17
127 145 185 255 351 435 452 445 480 481 488 445 358 258 160 94 55 22 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 2 5 10 12 13 19 27 34 40 43 43 44 45 45 47 47 46 45 45 46 46 46 46 45 44 43 43 41 38 35 31 28 26 24 23 24 24 22 21 21 23 23 24 25 25 28 28 26 26 28 31 35 35 34 29 25 21 18 14 11 11
33 45 76 137 227 304 346 380 441 462 459 399 316 242 162 86 40 15 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 4 10 14 13 15 19 24 30 38 45 47 44 45 45 45 44 43 41 40 39 38 39 40 40 39 39 37 34 30 25 21 19 21 20 20 20 20 20 19 18 20 22 23 23 23 24 24 23 22 23 26 30 31 29 28 29 27 23 18 14 12
3 9 23 60 125 195 266 324 381 408 418 399 349 265 148 63 12 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 1 8 18 19 18 18 20 24 30 37 46 49 46 44 43 41 39 38 36 34 32 32 32 32 33 32 32 29 24 21 19 17 17 19 18 19 19 18 18 18 18 19 20 23 23 22 21 20 20 20 20 22 23 25 25 25 26 27 24 20 18 18
2 3 6 20 60 118 200 275 325 358 389 389 331 228 100 27 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 4 15 21 20 20 20 23 28 32 36 41 46 45 41 38 36 34 31 30 28 26 25 24 22 21 20 20 17 13 12 11 13 13 15 14 14 14 15 18 21 19 19 19 20 21 21 21 19 18 18 18 19 20 21 21 22 23 25 23 19 17 18
1 2 2 7 31 79 156 238 300 343 383 381 296 165 52 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 0 0 0 0 0 0 2 18 21 21 22 24 27 30 33 34 37 42 44 39 35 31 26 22 20 19 19 16 14 12 8 8 9 7 5 5 5 6 7 8 8 8 9 12 17 19 17 17 16 16 17 18 17 15 15 16 15 15 16 17 18 19 19 21 17 13 13 14
2 2 2 4 17 61 134 215 283 344 379 344 230 97 20 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 2 11 15 19 22 26 28 29 31 32 34 36 36 35 31 25 19 15 11 6 3 0 2 3 1 1 2 1 1 1 2 2 3 4 5 6 7 8 12 13 13 13 12 12 12 13 12 11 13 13 13 12 13 13 13 12 11 12 10 9 8 9
2 2 2 4 13 54 120 205 303 377 375 291 183 101 47 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 13 18 21 25 27 29 30 32 33 32 30 26 20 15 11 7 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 7 9 10 9 9 9 10 10 11 11 10 11 11 11 11 11 11 11 10 9 8 8 7 7 7
2 2 2 3 8 41 104 197 307 364 322 222 133 96 59 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 0 0 0 0 0 0 1 2 6 10 13 18 22 26 27 28 28 26 22 17 13 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 5 6 7 7 8 9 9 9 10 10 11 11 10 10 10 10 10 9 10 9 8 7 7 6 6 5 4
2 2 2 2 3 26 106 229 334 339 237 116 47 29 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 0 0 0 0 0 0 0 1 3 6 10 12 15 19 19 17 14 11 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 5 5 6 7 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 6 5 5 4 3
2 2 2 2 5 34 125 239 296 240 109 24 4 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 2 4 6 8 8 8 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 5 6 6 6 7 8 8 8 9 9 8 8 7 6 7 7 6 6 6 5 5 5 4 3
2 2 2 7 24 71 140 188 181 113 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 6 5 5 6 6 5 6 6 6 5 6 6 6 5 4 4 4 4 4 5 5 4
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