Vorticity
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nan 2 2 3 3 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 4 4 5 6 8 10 13 15 14 10 7 10 13 15 16 14 11 9 7 7 6 5 4 4 5 3 -1 -3 -1 3 5 6 6 6 6 6 7 7 6 7 10 19 31 39 36 25 16 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 4 3 2 2 2 3 7 nan
nan 3 3 3 4 4 4 5 5 5 6 6 5 5 6 7 7 8 8 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 6 8 11 14 15 13 9 8 10 13 14 14 12 10 8 7 6 5 3 3 4 5 3 -1 -4 -1 3 6 7 7 7 7 7 8 8 8 8 9 15 25 31 29 22 18 16 17 17 15 12 10 10 10 11 11 10 9 8 7 7 7 7 7 7 7 6 6 6 5 6 5 5 4 3 1 1 3 7 nan
nan 3 3 4 4 4 5 5 5 6 6 6 5 6 6 7 8 8 8 7 7 6 6 6 6 7 8 8 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 5 7 8 10 12 13 11 9 9 12 13 14 12 10 9 8 7 6 4 3 3 4 4 2 -3 -5 -2 4 7 7 8 8 8 9 11 12 12 11 10 11 15 18 18 18 18 20 22 24 22 17 14 14 15 17 18 17 14 12 10 8 7 7 7 7 7 7 6 6 6 6 6 6 5 4 2 1 3 7 nan
nan 3 3 4 4 5 5 5 5 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 7 7 8 8 8 7 7 6 6 5 5 4 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 5 6 7 9 9 9 8 8 8 10 12 13 12 11 10 9 9 8 6 4 3 4 4 3 -1 -5 -5 -0 5 7 8 9 9 10 12 14 17 18 16 12 10 10 12 14 16 18 21 23 24 22 19 17 17 20 22 24 24 22 18 14 11 8 7 7 7 7 7 7 7 7 7 7 8 7 6 4 3 3 6 nan
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nan 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 6 3 1 1 3 4 5 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 nan
nan 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 7 7 6 4 3 2 3 5 6 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 nan
nan 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 9 9 10 9 10 10 10 10 8 8 7 8 8 8 8 7 7 7 7 7 7 6 5 5 5 6 7 8 8 7 8 8 7 7 7 8 8 9 9 8 8 8 8 6 6 7 7 6 4 4 6 7 6 5 3 2 3 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 nan
nan 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 7 6 6 6 7 7 8 8 8 8 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 7 8 7 7 8 8 7 7 7 8 9 9 9 9 9 9 7 6 6 7 7 7 7 7 7 8 7 5 2 -1 0 3 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 nan
nan 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 9 8 8 8 8 8 8 9 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 7 8 9 9 10 10 10 10 9 7 6 6 6 6 7 7 8 8 8 8 6 3 -1 -1 1 3 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 7 nan
nan 7 7 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 9 8 7 6 7 7 8 7 7 6 6 5 5 6 7 8 9 10 10 10 10 9 9 9 9 10 12 13 13 12 11 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 9 9 10 10 11 10 8 7 6 6 6 6 7 8 8 8 8 8 8 5 2 1 1 2 4 5 6 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 nan
nan 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 5 5 6 7 7 6 5 5 4 5 6 6 7 8 9 10 11 11 11 10 10 9 10 10 11 12 13 13 12 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 9 10 11 10 9 7 6 6 6 6 7 7 7 8 8 8 8 8 7 5 4 2 1 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 nan
nan 7 7 7 8 7 6 6 7 8 8 7 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 7 8 9 11 12 12 11 10 10 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 6 6 6 6 7 7 7 8 8 9 8 8 7 7 7 6 4 3 3 3 4 6 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 6 nan
nan 7 7 7 7 6 5 6 7 8 7 7 7 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 6 5 5 6 7 8 8 8 9 11 12 11 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 6 6 6 6 6 7 7 8 8 9 9 8 7 7 7 7 7 6 6 5 3 3 4 6 8 9 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 7 7 7 7 6 5 6 7 8 7 7 7 8 8 8 9 9 9 8 9 9 9 9 8 8 8 8 8 7 7 6 6 6 5 5 6 7 8 9 9 10 11 11 10 9 8 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 4 5 6 7 7 7 7 6 5 5 6 6 7 7 7 8 9 9 9 8 7 6 6 6 7 7 7 6 5 3 4 6 9 11 12 11 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 8 7 7 6 6 6 6 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 7 7 7 7 6 6 6 6 6 8 9 10 12 12 10 9 8 8 8 8 9 9 10 9 8 7 6 6 6 7 7 7 7 8 7 7 7 8 8 8 9 9 8 7 7 7 7 6 5 4 4 5 6 7 7 7 6 5 5 5 6 7 7 7 8 9 9 9 8 6 6 6 6 7 7 6 6 6 6 6 6 7 9 12 12 10 6 3 3 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 nan
nan 7 7 7 7 7 6 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 6 6 6 7 7 7 8 7 7 7 6 6 7 8 10 12 12 11 9 9 9 8 9 9 10 10 10 9 8 8 7 7 6 7 7 7 6 6 6 7 8 8 9 9 9 8 8 7 7 7 6 5 4 4 5 6 7 7 7 6 6 6 7 7 7 8 8 9 9 9 8 7 6 6 6 7 7 6 6 7 7 7 7 7 7 8 9 8 4 -2 -5 -0 5 7 8 7 7 6 6 6 6 6 6 6 6 6 5 5 nan
nan 7 7 7 7 7 7 7 7 8 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 6 8 10 11 11 10 9 9 9 9 9 9 10 10 9 9 9 10 9 8 7 7 6 6 5 5 5 6 7 8 8 9 9 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 -2 -8 -6 1 6 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 nan
nan 6 7 8 7 7 7 7 7 8 9 9 8 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 9 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 7 6 5 5 4 4 4 5 6 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 1 -5 -7 -2 5 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 6 7 8 8 8 8 8 8 8 9 8 8 7 6 6 5 5 6 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 6 5 4 4 5 5 5 6 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 5 -0 -5 -4 3 10 12 11 10 9 9 8 8 8 7 7 6 6 6 6 6 6 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 9 8 8 8 9 9 8 7 7 7 7 6 6 6 7 8 9 9 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 7 6 5 5 6 6 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 4 1 -1 3 11 15 14 11 10 10 9 9 8 8 7 6 6 6 6 6 6 6 nan
nan 7 7 8 9 9 9 9 8 8 8 8 8 8 7 8 8 7 7 7 7 6 6 7 8 8 8 8 8 9 11 11 8 7 7 7 8 7 6 6 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 7 6 7 8 7 6 6 6 8 9 9 8 7 7 6 6 7 9 10 10 10 9 8 7 8 8 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 6 4 5 10 15 15 13 11 10 9 9 8 8 7 6 6 6 6 6 6 6 6 nan
nan 8 8 9 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 8 10 11 10 8 7 7 8 9 8 7 6 6 7 8 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 7 7 8 9 10 10 8 7 6 6 6 7 8 9 9 9 8 7 7 8 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 8 10 11 11 10 10 9 8 6 6 6 6 6 5 5 6 6 6 6 6 nan
nan 8 9 10 10 10 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 7 8 9 9 8 8 9 10 10 9 8 7 6 6 7 8 8 8 8 9 9 8 7 6 6 7 7 8 9 10 10 8 7 8 9 10 10 10 9 8 7 7 7 6 7 8 8 8 7 7 8 9 10 9 8 7 8 8 8 8 8 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 7 5 3 2 4 5 5 5 6 6 6 6 6 6 nan
nan 8 9 10 10 10 9 7 6 6 5 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 6 7 7 8 8 9 10 10 10 9 9 8 7 7 8 8 7 8 9 10 9 8 7 7 7 7 8 9 10 11 11 9 8 8 9 9 10 9 9 9 9 9 8 7 7 8 7 7 6 7 8 9 9 8 7 7 8 7 7 8 8 8 8 9 10 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 7 6 5 4 3 3 1 -2 -2 3 5 5 6 6 6 6 6 6 6 nan
nan 8 9 9 10 9 8 6 5 5 5 5 6 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 10 11 12 12 10 8 8 7 8 9 9 8 9 10 10 9 9 9 9 8 7 6 7 8 9 9 8 8 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 7 3 -1 -3 -4 -3 -4 -6 -2 3 5 6 6 6 6 6 6 6 5 nan
nan 8 9 9 9 8 7 6 5 5 6 7 7 7 8 9 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 8 9 10 10 11 11 11 12 13 12 11 9 7 6 6 7 7 7 7 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 9 9 8 5 1 -3 -4 -4 -2 -3 -2 2 5 6 6 6 6 6 6 6 5 5 nan
nan 9 9 8 8 8 7 6 5 6 7 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 10 10 10 9 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 13 12 11 9 8 7 7 7 7 6 6 8 8 9 10 11 11 10 9 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 7 4 2 1 2 3 4 3 4 5 6 6 6 6 6 6 6 6 5 5 nan
nan 8 8 8 8 7 7 6 6 7 7 8 9 9 8 9 9 8 8 7 7 7 8 8 8 8 9 10 11 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 6 7 8 9 10 10 10 11 11 10 8 7 8 8 9 9 8 8 9 10 10 10 9 8 8 8 8 9 10 10 10 10 10 11 11 10 9 9 8 8 8 8 8 8 8 6 5 5 6 7 8 7 5 5 5 6 6 6 6 6 6 6 5 5 5 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 9 9 9 9 8 8 8 8 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 9 8 8 8 8 8 8 6 5 5 6 7 8 9 10 11 10 9 8 7 8 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 9 9 8 7 7 8 8 7 4 2 2 4 5 5 6 6 6 5 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
2 8 19 29 39 43 43 43 41 55 71 75 71 66 65 72 83 63 77 65 61 68 69 55 35 25 23 22 22 27 29 38 42 46 55 67 75 79 93 120 135 142 157 180 212 260 277 272 254 235 219 191 157 111 79 65 58 55 51 48 50 54 51 37 26 17 21 25 27 26 25 26 28 30 33 38 40 37 32 27 23 22 34 50 57 64 80 97 103 105 133 186 256 323 326 294 395 650 911 763 448 296 219 166 137 124 118 115 108 100 98 89 78 69 64 60 66 68 65 62 65 80 98 126 139 148 161 161 155 145 150 172 186 214 259
2 9 21 34 44 45 44 44 43 48 52 50 46 49 71 108 73 92 158 193 181 128 76 42 25 21 25 32 44 55 52 55 59 64 74 85 99 113 120 135 140 157 169 194 216 246 243 224 225 238 228 189 141 85 69 58 53 50 44 39 44 51 42 29 22 19 25 29 29 30 31 33 37 39 38 37 34 32 28 22 19 23 41 58 59 63 81 111 134 121 127 146 165 197 257 358 491 700 1135 861 518 357 298 256 228 216 208 205 203 198 188 171 155 142 127 111 98 87 77 76 66 72 90 123 148 171 168 155 154 157 162 167 171 188 258
5 17 24 39 44 45 45 44 45 46 48 46 37 40 60 95 137 173 198 172 121 84 58 38 28 28 35 48 66 74 71 67 78 106 127 124 123 142 115 76 83 88 104 107 118 140 153 171 202 186 149 126 106 72 59 52 50 49 37 21 25 36 32 26 23 25 33 40 41 39 38 37 37 38 35 30 28 26 23 19 16 26 48 64 65 68 83 114 167 176 171 170 190 295 488 618 621 654 895 676 451 385 410 419 395 369 342 332 347 363 358 317 287 265 231 193 158 130 110 104 90 83 85 102 129 159 168 156 155 159 164 162 163 184 283
9 19 30 40 42 42 40 38 44 47 46 42 37 44 65 158 231 242 204 139 87 66 58 51 48 42 46 75 101 106 102 104 120 151 173 163 139 124 72 37 25 20 31 41 50 56 55 63 82 72 50 36 29 38 47 48 53 52 29 8 6 13 19 24 26 32 39 47 47 43 41 38 36 31 29 28 26 24 21 18 21 35 63 84 84 93 112 143 209 248 259 308 458 691 851 730 522 481 506 457 448 479 518 569 613 583 463 449 493 525 566 577 534 457 374 293 237 196 167 146 129 119 112 116 132 157 177 174 165 171 178 171 172 214 330
11 19 31 38 38 40 39 34 39 44 42 42 47 79 149 353 485 347 202 117 73 57 61 69 84 77 82 137 177 178 199 200 178 175 188 161 116 75 27 3 0 0 4 12 22 24 12 9 13 17 11 5 7 23 40 46 55 52 19 4 2 2 5 14 25 32 38 42 40 36 35 37 39 39 36 33 26 21 17 16 26 55 112 130 138 145 163 201 276 331 382 611 1089 1452 1219 859 628 489 459 499 568 592 583 653 787 698 439 482 507 530 594 682 734 678 553 410 321 262 229 207 194 187 179 174 175 181 186 168 186 196 201 187 182 219 325
10 19 32 40 35 54 52 39 36 40 41 45 58 121 235 327 297 179 96 65 55 58 70 73 96 169 236 254 273 226 223 211 173 161 149 96 49 23 6 1 0 0 0 0 7 15 10 11 10 8 6 4 8 20 35 47 53 40 8 2 2 0 0 5 15 25 32 34 30 25 23 30 32 35 33 26 18 12 9 10 27 82 151 193 218 223 251 308 410 488 586 961 1616 1887 1401 1059 957 859 793 783 796 757 631 523 476 420 374 487 512 527 567 595 645 756 705 559 420 334 300 289 293 302 298 283 263 231 237 221 225 226 225 211 200 214 266
12 22 37 44 45 80 69 47 46 53 56 60 91 154 328 251 180 154 128 146 193 182 124 104 171 342 434 342 305 221 169 148 122 102 66 18 2 0 0 0 0 0 0 0 2 7 9 13 14 10 13 17 22 27 34 46 56 38 0 0 0 0 0 3 10 21 27 26 20 15 12 17 20 21 17 11 5 1 0 5 30 100 181 288 383 405 440 501 593 677 784 1125 1591 1594 1284 1186 1335 1400 1313 1188 1066 892 741 555 431 437 526 577 574 595 640 697 831 816 760 687 555 440 398 407 445 501 513 487 416 327 280 244 233 234 237 232 221 224 239
11 21 49 71 82 89 81 70 74 93 118 145 267 294 449 293 156 256 325 308 333 316 187 159 241 347 367 288 231 162 108 80 56 36 16 1 0 0 0 0 0 0 0 0 0 1 3 5 7 8 13 12 14 18 21 29 37 31 1 0 0 0 0 2 9 18 22 16 10 7 4 6 7 5 1 0 0 0 0 6 45 124 253 475 688 775 753 746 776 763 775 979 1101 1043 967 1068 1322 1504 1538 1511 1396 1235 1038 861 771 782 734 632 577 594 628 706 851 829 754 714 638 548 525 610 741 808 817 792 658 501 376 296 256 244 242 240 236 241 264
16 31 78 111 124 125 125 117 125 199 313 429 522 589 620 468 360 458 538 475 392 339 236 163 210 213 206 193 140 82 45 24 14 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 5 13 34 20 3 0 0 0 0 3 9 15 16 6 2 1 1 2 1 0 0 0 0 0 2 18 83 217 495 876 1128 1147 1061 986 885 691 564 674 642 557 544 706 882 972 1099 1372 1362 1486 1417 1194 1013 877 750 670 660 653 618 629 664 676 697 671 631 597 623 778 986 973 954 942 847 677 500 383 332 308 295 289 293 294 309
34 61 93 126 140 158 187 191 197 288 380 501 771 852 753 637 630 654 577 417 261 128 169 133 148 169 162 116 63 29 11 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 43 21 7 7 5 2 1 5 12 13 8 1 0 0 1 0 0 0 0 0 0 1 10 45 179 538 1119 1578 1702 1598 1405 1179 885 588 471 552 589 629 701 715 633 541 592 885 950 1153 1241 1129 1002 916 835 800 784 732 687 623 596 578 587 596 602 629 684 768 859 801 798 823 838 756 597 480 442 436 461 495 515 556 631
45 58 91 134 155 191 242 257 250 298 368 538 827 846 709 620 612 569 421 250 170 125 114 103 98 86 58 33 16 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 18 21 21 31 29 18 13 12 13 8 1 0 0 0 0 0 0 0 0 0 0 6 26 79 303 783 1371 1735 1777 1728 1599 1128 756 566 562 640 674 686 710 688 688 807 971 949 874 791 713 733 852 896 859 808 775 708 668 640 580 504 457 455 499 580 647 656 626 602 612 639 694 707 616 544 539 585 675 783 874 933 990
52 59 104 154 178 203 230 238 253 323 462 657 809 760 632 523 446 361 237 117 89 70 59 55 45 31 16 7 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 4 11 16 34 43 36 31 22 11 3 0 0 0 0 0 0 0 0 0 0 1 15 42 116 325 648 926 1014 968 957 1014 694 529 490 528 558 520 438 389 432 677 1060 1412 1485 1240 876 637 608 690 723 691 679 683 619 572 575 555 475 402 360 379 445 558 608 562 536 540 546 585 625 616 637 648 655 699 766 821 859 877
64 72 123 154 158 167 193 223 261 354 517 719 792 702 583 462 343 231 123 65 44 29 19 15 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 0 1 4 16 28 33 27 13 4 0 0 0 0 0 0 0 0 0 0 0 2 26 70 138 236 358 445 410 342 375 398 326 323 352 358 326 281 254 285 360 525 797 1190 1392 1224 870 600 527 552 575 560 586 588 571 579 558 471 411 404 357 337 352 461 561 542 508 507 516 580 620 598 619 608 571 550 548 557 558 562
97 116 127 132 149 193 244 275 351 454 579 720 696 620 520 398 272 150 54 27 21 13 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 3 13 26 29 6 5 1 0 0 0 0 0 0 0 0 0 0 0 4 29 77 110 123 156 217 244 278 282 270 260 260 263 241 201 178 177 207 271 364 507 711 842 793 618 455 388 434 493 503 528 519 500 474 427 383 363 376 373 330 319 351 405 431 418 423 457 510 495 443 435 424 409 404 414 427 429 432
112 120 133 155 223 341 426 425 528 574 644 674 634 561 442 300 165 54 23 21 14 11 6 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 1 5 14 26 27 3 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 59 72 65 81 130 199 253 261 248 244 239 220 192 167 148 130 121 167 250 339 427 483 478 429 382 339 368 410 440 446 435 424 422 430 414 423 423 385 342 336 365 388 373 366 365 365 363 346 319 298 281 272 275 294 321 341 361
57 57 70 108 222 397 496 455 543 532 583 623 606 509 361 214 101 29 22 19 14 12 12 9 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 1 2 4 8 12 10 2 0 0 0 0 0 0 0 0 0 0 0 0 1 10 33 57 63 62 68 96 154 213 233 221 204 193 175 150 132 114 100 97 103 137 192 254 315 366 374 367 340 323 334 352 354 349 355 364 366 358 360 347 338 320 318 337 346 319 298 280 265 250 244 232 216 202 191 179 189 215 248 281
8 7 7 24 107 252 336 308 378 424 501 576 574 458 300 174 68 26 19 17 16 16 13 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 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 44 58 60 66 72 75 106 149 171 169 158 144 121 99 86 67 69 77 84 98 127 172 221 288 313 326 327 303 291 294 295 292 294 297 280 273 277 266 252 241 230 219 199 197 190 172 163 155 146 134 123 120 113 107 115 130 144 175
1 0 0 0 25 97 168 197 274 376 475 536 495 365 232 141 60 27 22 18 17 13 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 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 30 59 61 62 72 80 68 66 84 107 116 113 96 80 74 67 58 57 63 75 88 102 128 157 199 217 221 220 223 225 228 229 229 230 236 232 233 229 213 193 172 153 135 114 108 100 91 84 78 72 67 58 54 53 51 59 66 67 73
0 0 0 1 8 34 82 146 263 356 446 492 431 304 193 109 54 35 27 17 12 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 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 44 64 61 63 73 78 67 57 54 62 74 81 71 69 69 62 56 56 57 61 72 80 90 109 125 136 138 136 136 137 146 152 154 164 177 178 182 180 166 150 133 114 95 74 62 56 52 47 41 38 37 30 27 25 22 25 25 24 27
0 0 1 1 4 16 51 125 255 336 411 443 402 307 190 93 54 30 15 9 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 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 47 60 59 60 70 76 70 60 57 60 66 72 70 67 62 55 52 52 51 49 50 47 55 67 75 88 99 100 95 88 87 92 97 110 121 128 132 130 124 111 96 84 71 57 45 40 38 36 32 30 27 24 21 18 16 13 12 12 12
1 1 1 1 2 7 40 122 240 319 386 414 371 260 133 67 38 17 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 1 8 26 37 49 54 56 63 72 72 64 63 66 68 68 65 60 53 48 46 45 44 42 40 40 40 45 50 58 66 71 70 66 64 63 66 73 78 78 76 80 87 76 68 64 59 54 47 39 36 33 30 27 25 23 21 18 15 13 12 11 12
1 1 1 1 1 3 37 110 185 265 348 379 314 190 91 46 14 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 25 32 41 47 50 55 63 68 67 67 69 69 64 58 51 44 40 38 37 36 35 34 34 33 33 37 43 50 56 63 63 62 57 54 56 58 59 57 57 61 60 58 57 55 53 48 41 36 32 29 27 25 23 21 18 15 13 11 11 11
1 2 2 2 2 4 32 93 176 279 352 331 223 118 53 20 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 1 10 20 29 36 43 47 50 57 64 68 69 70 67 60 50 41 34 32 30 30 29 31 30 29 29 30 32 35 39 44 52 55 55 52 49 48 49 52 50 48 50 52 53 53 52 52 50 44 40 35 32 28 26 24 22 18 16 15 13 11 10
1 2 2 2 3 11 54 149 260 342 340 249 135 62 15 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 4 13 22 30 39 46 50 56 62 67 68 68 64 56 46 36 30 27 24 23 23 24 24 24 25 25 29 31 31 36 40 44 48 48 45 43 43 43 40 38 41 45 48 49 48 46 47 44 42 38 35 31 27 23 21 20 19 17 16 14 11
1 1 2 2 6 33 113 221 314 318 239 147 69 19 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 1 5 14 23 32 41 50 57 60 65 66 63 59 52 44 35 28 25 23 21 20 18 18 18 18 19 22 25 27 30 32 35 38 40 39 38 38 37 36 32 33 37 42 46 43 38 42 40 38 36 33 29 24 22 21 22 21 19 16 13 12
1 1 2 3 15 73 160 218 229 185 117 64 24 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 1 7 16 27 38 45 53 57 61 61 58 54 47 40 33 27 25 21 17 14 13 12 13 13 15 15 17 20 23 26 27 28 30 32 35 35 34 30 25 24 28 32 37 35 35 38 38 36 33 30 27 22 20 21 21 20 17 15 12 10
1 1 1 2 14 98 160 163 128 84 46 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 0 0 0 0 0 0 0 0 0 2 7 16 26 31 40 46 49 50 48 43 37 32 28 25 21 16 13 12 11 10 10 10 11 11 12 13 14 15 17 20 23 24 28 29 28 25 22 20 20 21 26 28 32 34 32 30 28 26 23 20 18 19 18 16 15 13 10 6
1 1 1 1 3 69 107 93 52 19 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 0 0 0 0 0 0 0 0 0 1 3 10 15 21 25 29 33 33 30 27 23 20 16 12 9 7 6 7 6 6 5 4 7 9 5 2 4 8 11 14 14 17 19 21 20 18 18 12 14 19 23 26 26 23 21 21 20 18 17 15 14 13 11 11 8 5 3
1 1 0 0 0 23 39 33 14 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 2 4 7 11 15 19 21 19 16 13 10 7 4 3 2 1 0 1 2 1 0 2 3 2 0 1 2 2 6 8 8 10 11 12 11 13 8 9 13 18 21 20 17 16 15 15 15 13 11 9 8 7 5 4 3 3
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