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 5 5 5 4 3 3 3 3 4 4 5 6 7 7 7 5 4 4 3 3 3 3 3 3 3 3 5 6 7 8 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 8 9 9 9 8 7 6 6 6 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 4 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 9 11 12 11 10 9 7 6 6 5 4 4 nan
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nan 3 4 5 5 5 5 5 6 6 7 7 7 7 8 8 8 6 5 5 5 4 3 3 4 4 4 5 5 6 7 7 6 5 4 4 4 4 5 6 6 6 6 6 7 7 7 7 7 8 7 6 6 7 6 5 4 3 2 1 3 6 8 8 6 5 6 6 7 7 7 7 7 7 6 7 8 8 8 8 6 4 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 nan
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nan 8 8 8 8 9 10 10 8 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 8 9 9 9 8 7 6 6 6 6 6 6 7 8 8 8 8 7 6 6 7 8 8 8 9 9 10 9 9 8 8 8 7 6 6 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 9 9 9 7 4 -1 -4 -2 0 2 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 nan
nan 8 8 8 8 9 10 10 8 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 4 4 6 7 9 10 10 9 8 7 7 7 7 6 5 6 7 8 8 8 6 6 6 7 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 6 8 9 9 9 9 9 10 10 10 9 8 6 1 -3 -4 -3 -1 1 2 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 8 9 9 10 11 9 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 4 4 6 9 11 11 10 9 8 8 7 7 6 5 6 7 8 8 8 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 9 9 8 8 8 6 2 -1 -3 -2 -1 0 0 1 1 2 3 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 7 7 6 nan
nan 8 9 9 10 11 11 8 6 5 6 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 6 4 4 5 8 10 11 11 10 10 9 8 7 7 6 6 7 8 8 7 6 6 6 6 7 7 8 9 8 9 9 9 9 9 9 8 8 8 8 9 9 9 7 6 6 6 6 5 6 6 7 7 7 7 8 8 7 8 8 8 8 8 8 7 7 8 9 7 5 2 1 1 1 1 -0 -1 -1 1 4 5 6 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 7 6 nan
nan 9 9 9 10 11 10 8 5 5 5 6 7 8 8 7 7 7 7 8 8 8 8 8 8 9 8 6 4 4 6 8 10 12 12 12 10 9 9 8 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 5 2 -1 -3 -1 2 4 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 8 8 9 10 11 11 8 5 5 6 6 7 7 8 7 7 7 7 7 8 8 9 8 9 9 9 7 6 5 6 7 8 10 12 12 11 11 10 10 9 8 8 7 7 6 6 6 6 6 7 8 9 8 8 8 9 9 10 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 9 9 9 8 8 5 1 -3 -3 0 3 5 6 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 8 8 9 10 11 10 7 5 5 6 6 7 7 8 8 7 6 6 6 7 9 9 8 7 9 8 7 6 6 6 6 7 7 8 9 10 11 11 10 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 8 8 8 7 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 4 1 -1 -1 0 3 6 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 8 9 11 11 10 8 6 5 5 6 7 7 7 8 8 7 6 6 7 8 9 9 7 6 7 7 6 5 5 5 5 6 5 5 6 8 10 10 9 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 9 9 9 9 8 8 7 5 3 -0 -1 1 3 6 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 10 11 10 9 7 6 5 5 6 7 8 7 8 8 7 7 7 8 9 9 8 7 6 6 6 5 5 4 4 6 6 6 5 4 6 8 9 9 8 8 8 8 7 6 6 6 6 6 7 7 7 7 6 6 7 8 9 10 11 10 10 8 8 7 8 8 8 8 8 9 8 8 8 7 8 8 8 7 6 6 6 6 7 8 9 9 8 7 7 7 7 7 8 9 9 9 9 8 8 9 8 7 4 1 0 1 3 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 8 10 10 9 8 7 7 6 5 6 7 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 6 6 5 5 6 7 6 5 4 6 7 8 8 8 8 8 7 6 5 5 5 5 5 6 7 7 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 5 6 7 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 7 5 4 2 1 3 4 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 8 9 9 8 7 8 8 6 5 5 7 8 8 9 9 10 10 11 10 9 9 9 9 8 7 7 6 6 6 6 7 7 6 5 6 6 7 7 7 8 8 7 7 6 5 5 5 4 4 5 6 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 5 3 2 3 5 7 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 9 9 7 5 5 6 7 8 9 10 11 11 11 10 10 10 11 10 8 7 6 5 5 6 7 7 7 6 6 7 8 7 7 8 8 7 7 6 6 6 6 6 5 4 4 5 6 7 8 8 8 8 8 7 7 7 7 6 7 8 8 9 8 8 8 8 8 8 9 9 9 8 8 6 6 6 6 7 8 8 8 7 7 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 7 6 5 5 6 8 8 7 5 4 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 6 6 7 7 9 10 10 8 6 4 5 7 8 9 10 11 11 10 9 9 10 10 9 7 5 4 3 3 4 5 6 7 7 8 9 10 10 9 9 8 7 6 6 6 6 7 8 7 6 6 5 5 6 7 7 7 7 6 5 5 5 5 5 6 7 8 9 8 8 8 8 8 9 9 9 9 8 7 6 5 6 7 8 9 8 7 7 6 6 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 2 1 4 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 6 5 6 7 8 10 10 9 7 5 5 6 7 8 9 10 10 9 8 8 9 8 8 7 5 4 3 3 4 5 5 5 6 7 9 10 11 11 10 9 8 7 6 7 7 8 9 9 9 8 6 5 5 6 7 6 5 5 4 3 3 3 3 4 6 7 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 8 7 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 7 6 3 0 2 6 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 6 5 5 6 7 9 10 10 9 6 5 5 6 7 8 8 9 9 8 8 7 7 7 7 6 4 3 4 5 5 5 4 4 4 7 9 10 10 10 9 8 7 8 8 8 8 9 10 9 9 8 6 6 7 7 7 6 6 5 5 3 2 3 3 5 6 8 9 9 9 9 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 7 4 1 0 4 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 nan
nan 6 6 6 6 7 8 10 11 10 7 5 4 5 6 7 8 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 4 2 3 4 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 5 4 3 4 5 6 7 8 9 9 9 9 9 9 9 8 7 6 7 8 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 3 1 2 6 9 9 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 nan
nan 7 6 5 5 7 9 10 11 11 8 5 4 4 5 7 8 10 10 9 8 7 6 6 6 6 5 5 5 5 5 5 4 2 2 3 5 6 6 7 7 8 9 9 10 9 9 8 7 7 7 7 9 10 11 11 10 9 8 8 7 6 5 5 6 6 7 7 7 8 8 9 10 10 10 9 8 7 7 7 8 10 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 5 3 2 5 9 10 9 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 nan
nan 7 6 5 6 7 9 10 11 10 9 6 4 4 5 7 9 10 10 9 9 8 6 6 6 7 7 6 5 5 6 6 4 2 2 3 4 5 6 7 7 8 9 10 10 9 9 9 8 8 7 8 8 9 10 10 9 8 8 8 8 7 7 8 8 8 7 7 7 6 7 8 9 10 9 9 8 8 8 9 9 9 10 9 9 9 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 5 4 4 7 10 10 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 nan
nan 7 7 7 7 8 9 9 10 9 9 6 4 4 6 8 9 9 10 10 10 8 6 6 8 8 8 7 5 5 6 5 4 3 3 4 5 6 7 7 7 7 8 9 10 10 10 10 10 10 10 9 7 7 8 8 8 8 8 8 8 8 9 9 9 7 7 6 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 9 9 8 7 6 5 5 6 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 9 8 7 6 5 5 6 8 9 9 10 12 11 9 7 8 9 9 9 7 5 5 6 6 5 5 5 6 6 6 6 6 6 6 8 9 10 10 10 11 11 12 11 9 8 7 7 8 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 8 8 8 7 7 8 9 9 9 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 6 3 1 3 6 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 8 8 9 7 6 5 5 6 7 8 9 10 12 13 13 11 9 9 9 9 8 7 5 4 6 7 7 8 8 8 7 6 5 5 5 6 7 8 9 9 10 11 12 13 12 11 10 10 9 10 11 12 11 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 7 6 6 5 5 5 6 7 7 7 8 8 8 8 9 9 10 10 9 9 9 10 10 9 9 10 9 7 2 -1 1 6 7 8 8 8 8 8 7 7 7 nan
nan 9 8 8 8 8 8 8 9 7 5 4 5 6 7 8 9 11 12 13 13 12 10 10 9 8 8 7 5 5 6 8 8 9 9 9 7 5 4 5 5 6 7 7 7 8 9 10 11 13 13 12 12 12 13 14 15 14 12 10 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 5 5 5 6 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 9 7 6 7 8 7 3 -0 2 5 7 7 8 7 7 7 7 7 7 nan
nan 9 9 8 8 8 9 9 9 8 6 5 5 6 7 8 9 11 12 12 12 11 11 10 9 8 7 7 7 6 7 8 8 9 9 8 6 5 5 5 6 5 5 5 5 6 7 8 9 11 12 12 12 13 15 16 17 16 15 12 10 9 8 8 8 9 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 7 8 9 8 8 9 9 10 10 9 8 8 8 6 2 0 1 3 5 3 3 5 6 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 9 9 9 9 8 7 6 5 6 7 8 9 10 11 11 10 10 11 11 9 8 8 9 9 9 9 9 9 9 9 7 5 4 5 5 5 4 4 3 4 5 6 6 7 7 9 9 10 12 14 16 17 17 16 15 12 10 9 8 8 8 9 9 8 7 6 6 6 6 7 7 7 8 9 9 9 8 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 6 6 7 8 8 8 8 9 9 9 9 8 8 8 8 7 4 0 -2 -2 0 2 3 5 6 6 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 8 6 5 5 7 8 9 10 10 9 8 9 11 11 10 9 9 10 11 10 9 9 9 10 10 7 4 4 5 6 5 4 4 3 4 5 6 6 6 6 6 7 7 8 9 11 13 13 14 13 11 8 7 6 7 7 9 9 9 7 6 5 5 6 7 7 7 8 9 10 9 9 8 7 7 7 8 7 7 6 6 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 7 7 8 8 7 5 3 2 1 -0 -0 2 4 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 9 8 8 8 8 7 5 5 6 8 9 10 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 7 5 6 7 8 7 6 4 4 5 6 7 6 5 6 6 6 6 6 6 7 8 9 9 9 8 6 6 6 7 9 10 10 9 8 7 6 6 6 6 7 7 8 9 10 9 9 8 8 8 8 8 8 7 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 5 1 -2 -1 3 6 7 7 7 7 7 7 7 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
47 63 75 77 83 78 99 117 119 110 102 101 112 124 123 116 102 84 86 87 92 104 100 101 117 138 179 255 343 414 503 571 566 560 569 530 471 415 317 205 124 82 71 57 48 35 26 25 38 62 90 113 121 101 74 52 48 50 48 40 29 17 5 0 0 0 0 0 2 3 4 5 5 4 4 1 2 6 15 24 37 54 88 131 158 164 161 166 177 161 135 117 108 100 91 83 81 82 79 75 72 69 72 59 54 60 60 65 86 121 166 208 200 222 257 239 219 208 216 235 265 354 532 706 913 892 797 684 577 506 454 406 367 323 312
65 91 109 94 93 75 93 126 141 131 118 120 127 117 107 123 176 106 87 76 74 85 115 186 280 345 400 460 489 438 373 328 275 248 253 252 232 187 129 70 35 35 39 33 28 23 21 22 32 55 84 101 96 85 66 56 50 45 38 29 17 5 1 0 0 0 0 1 3 3 2 2 2 2 4 2 2 6 11 14 22 38 65 95 111 114 117 121 119 116 104 92 84 78 73 68 63 61 56 54 50 43 45 58 64 59 60 67 66 68 81 80 88 111 125 132 130 128 129 129 135 167 242 402 512 547 565 530 452 391 317 282 269 276 288
143 150 138 133 129 112 131 174 208 234 243 234 224 243 345 467 399 270 209 177 141 114 143 254 389 449 513 543 491 425 334 255 182 132 110 106 95 69 48 32 28 27 24 21 18 16 16 19 28 50 83 104 104 89 74 61 46 34 25 17 10 2 0 0 0 0 0 0 2 2 1 1 1 2 3 1 0 2 4 6 10 22 43 64 76 84 82 89 89 88 83 76 70 63 56 45 33 35 35 36 33 33 34 36 37 39 40 38 36 36 37 51 47 49 59 63 63 69 79 88 101 115 132 169 217 250 272 267 255 244 221 222 226 231 241
176 175 210 243 241 227 246 285 343 434 508 507 467 512 637 664 511 390 325 278 232 172 133 151 182 142 284 425 396 367 317 244 164 97 52 32 30 27 28 29 24 18 12 9 8 9 11 15 26 53 80 104 99 75 58 44 29 19 12 7 3 1 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 1 3 11 27 44 50 49 49 64 69 71 70 66 60 53 45 34 28 27 25 24 23 25 26 24 22 23 25 26 27 27 26 29 30 32 36 37 38 43 56 76 89 92 101 114 128 148 169 187 188 175 166 162 165 181 202
184 238 306 360 365 345 347 360 409 509 611 649 642 668 662 558 436 360 308 237 152 97 67 49 72 122 248 313 305 312 303 237 150 76 24 12 15 13 15 18 17 11 6 3 3 4 8 12 22 47 73 86 72 46 33 26 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 9 22 34 45 50 51 53 54 55 54 50 46 41 35 30 25 22 21 19 18 19 19 19 19 20 20 20 22 20 18 15 14 19 24 25 28 30 35 41 50 54 62 71 79 92 107 117 110 105 98 99 107 119 137
168 234 319 389 412 379 343 322 339 401 473 514 545 568 516 393 283 238 235 186 109 64 48 45 58 108 195 261 254 286 302 233 131 61 17 5 6 7 8 10 10 6 4 3 2 2 4 8 17 39 64 69 46 29 21 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 21 31 41 47 50 49 46 43 39 35 31 28 28 28 24 20 19 17 16 16 17 17 16 16 15 15 15 15 14 12 12 15 18 18 21 22 21 20 23 30 36 40 45 49 54 56 63 74 75 73 72 71 72
146 201 275 330 350 305 250 221 226 258 298 331 384 447 429 256 123 109 178 210 170 116 98 116 138 150 186 244 246 286 291 213 113 47 14 7 6 8 8 7 6 5 3 3 2 2 2 5 17 43 61 50 32 19 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 16 20 28 37 44 49 46 40 38 34 30 25 22 21 23 21 18 17 16 16 16 15 15 14 14 14 14 15 15 15 14 13 11 12 16 16 16 15 15 17 21 26 31 33 33 35 40 48 55 57 55 52 49 49
116 153 215 241 239 202 162 144 150 173 202 233 269 346 342 178 79 90 174 241 232 179 151 173 187 185 204 220 222 228 200 135 71 27 10 8 10 11 9 7 5 3 2 2 2 1 2 8 34 46 45 34 22 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 15 19 22 28 36 43 49 46 39 36 35 31 25 20 20 20 19 18 16 16 15 15 14 15 15 14 15 15 15 15 14 12 11 10 10 12 12 12 13 10 9 11 14 20 23 25 27 29 30 33 37 37 36 34 33
94 116 143 155 152 139 120 106 109 126 151 176 172 227 187 93 69 117 194 243 213 125 101 169 186 177 170 160 139 109 71 38 22 12 9 10 11 9 7 5 3 2 3 3 2 2 4 23 40 34 24 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 4 6 13 18 20 24 30 37 43 46 46 42 36 36 32 28 23 20 18 17 16 15 15 15 15 15 15 15 15 15 14 14 12 10 10 9 9 8 8 9 9 10 9 8 5 7 9 13 17 21 21 20 22 23 23 24 25 25
90 98 99 97 101 106 105 96 87 90 116 154 175 202 149 88 95 152 207 223 170 80 104 174 160 136 100 67 43 25 12 8 10 9 10 12 10 7 4 2 2 3 3 3 3 3 11 30 30 19 13 10 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 3 5 7 10 20 21 22 27 33 39 44 45 44 42 35 34 31 28 25 21 17 15 14 14 14 14 14 14 14 13 13 12 12 12 10 9 9 9 6 6 6 6 6 6 7 9 7 6 6 8 10 12 12 12 16 20 20 21 21 22
92 96 102 93 110 135 141 121 82 69 85 110 153 203 157 95 86 131 186 204 176 141 171 149 90 49 21 8 4 4 5 9 9 9 10 9 6 4 2 2 3 3 3 3 4 6 19 27 19 10 8 5 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 16 25 26 27 31 36 39 42 44 42 37 33 31 29 26 22 18 13 12 12 13 12 12 12 11 10 10 9 9 8 8 8 7 8 8 7 6 5 4 4 4 5 7 7 6 6 6 7 8 9 10 12 18 20 21 19 16
133 121 123 126 177 223 202 135 78 67 74 96 178 218 136 82 101 154 210 238 242 237 169 79 35 24 17 9 5 4 6 8 7 7 6 4 2 2 2 2 2 2 3 4 6 15 23 19 9 4 4 3 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 13 15 18 25 29 31 33 35 38 39 41 38 32 30 29 25 21 19 15 12 11 10 11 10 9 8 6 5 5 6 5 6 6 7 7 7 6 6 6 6 5 5 5 5 5 4 5 6 6 5 6 8 12 11 15 18 18 17 15
184 150 150 185 253 292 249 158 106 111 138 174 252 180 104 127 200 252 258 208 157 120 51 27 22 22 16 8 5 4 5 5 4 3 3 1 1 1 1 1 1 3 4 9 15 24 21 11 4 3 4 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 11 17 20 23 28 32 33 33 34 36 38 38 32 28 27 25 21 17 13 11 9 9 8 7 6 6 5 3 3 4 4 4 4 4 5 5 5 5 6 5 6 5 5 5 6 5 5 6 6 6 6 5 8 12 14 15 16 17 18 17
316 267 267 298 330 333 296 246 237 217 255 236 190 131 153 264 375 378 247 119 72 63 33 23 18 13 8 4 3 3 3 2 1 1 0 0 0 0 0 1 2 4 9 20 26 25 14 4 1 2 4 5 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 11 16 19 20 25 31 34 33 33 33 34 35 36 35 32 27 23 20 17 13 9 8 7 7 6 3 2 3 3 2 2 3 3 3 3 3 3 4 4 4 5 4 5 5 5 5 5 5 6 6 7 7 6 6 9 12 14 15 15 15 16 16
586 557 547 524 469 401 368 391 428 342 317 231 152 164 256 331 302 194 136 92 55 35 19 10 6 3 2 1 1 1 1 0 0 0 0 0 0 0 0 1 3 9 18 29 31 22 10 2 1 2 3 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 17 20 20 23 28 33 34 33 34 34 34 35 36 35 31 26 20 16 12 9 7 6 5 4 3 2 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 7 7 7 7 7 9 11 13 14 13 13 13 13
669 651 672 674 617 523 477 510 503 389 311 236 215 279 347 317 205 128 93 68 41 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 19 26 29 28 22 11 3 2 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 20 23 26 30 34 36 37 37 37 35 34 34 35 34 30 24 17 13 8 7 5 4 2 1 1 1 0 0 1 1 1 1 1 1 2 3 3 4 4 3 4 4 4 4 4 5 5 6 7 8 7 8 8 8 8 9 12 13 12 11 11 10
490 469 491 554 604 585 533 516 458 375 321 299 333 395 375 244 133 96 74 51 27 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 11 20 23 23 20 14 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 4 13 23 31 36 37 38 41 42 42 38 34 34 33 33 31 27 20 14 10 6 5 3 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 4 4 4 4 5 6 6 8 8 8 9 10 11 11 9 9 9 10 9 8 7
313 303 328 385 454 493 465 434 410 381 371 385 423 417 315 180 116 88 67 39 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 7 12 14 13 10 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 1 3 14 26 36 41 41 41 43 44 43 38 34 33 33 32 29 24 18 12 8 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 3 4 4 4 4 4 4 4 4 6 7 7 8 9 10 11 12 11 9 9 9 9 9 9
219 223 236 271 323 364 374 377 389 397 407 407 389 317 205 143 109 78 51 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 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 3 11 24 35 40 41 40 40 40 40 36 33 32 31 29 26 20 14 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 5 5 5 5 5 6 6 6 7 9 10 10 11 10 10 10 10 10 10
166 172 181 207 248 284 325 351 369 391 402 385 330 239 152 114 92 70 46 18 4 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 0 0 0 1 7 19 33 42 44 37 36 35 35 33 31 30 29 27 24 15 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 5 6 6 7 7 7 7 6 8 9 9 10 10 10 10 10 10 11
127 132 140 150 180 219 273 298 316 341 346 314 250 173 114 99 75 56 32 10 1 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 1 5 16 32 43 42 36 33 32 32 31 30 29 28 25 19 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 6 6 7 7 7 7 7 8 7 7 8 8 9 10 10 11 11
103 102 98 89 114 166 219 249 264 273 270 241 185 122 82 84 59 41 16 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 2 9 29 39 39 36 33 30 30 30 28 28 27 24 16 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 1 3 4 4 4 5 6 7 8 8 8 8 10 10 8 7 7 8 9 10 11 12 11
112 97 79 67 79 137 186 217 232 229 215 198 161 94 67 63 46 32 16 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 3 19 30 36 37 34 31 29 28 27 26 24 19 13 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 1 2 3 4 4 4 5 7 8 8 8 9 10 10 9 8 7 7 9 9 11 12 12
128 110 77 56 63 119 176 205 220 214 189 163 134 78 57 51 33 16 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 9 18 28 35 35 32 30 28 27 24 21 16 9 5 2 1 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 4 5 5 6 7 8 8 9 9 9 9 9 8 6 7 9 10 12 12
131 111 69 43 55 109 178 211 228 213 173 141 115 77 60 55 36 14 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 1 4 8 17 26 31 31 29 26 24 21 17 10 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 1 2 3 3 4 5 5 5 7 7 7 8 8 9 9 8 7 5 6 8 10 12 13
123 91 51 30 42 92 172 220 226 197 155 114 85 84 100 71 42 17 6 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 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 14 20 24 24 22 18 14 10 7 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 1 1 2 3 4 5 6 5 6 7 7 7 7 7 7 7 6 5 6 8 11 13 14
86 67 43 25 31 79 153 204 210 177 122 66 27 15 5 28 30 17 9 11 13 6 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 1 2 3 5 7 10 13 15 13 9 7 5 5 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 1 1 1 2 2 3 4 5 5 6 6 6 6 7 7 6 5 4 4 6 9 11 13 14
53 54 44 32 32 64 117 161 167 129 69 22 2 1 0 0 5 6 14 29 30 22 11 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 1 2 3 4 3 6 8 7 6 5 4 3 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 1 2 2 3 4 5 5 5 5 6 7 7 6 6 5 4 5 7 9 12 13 15
36 47 46 43 42 53 81 112 121 93 46 16 2 0 0 0 0 0 0 2 9 20 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 1 2 1 2 3 3 3 3 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 1 1 2 2 3 3 4 5 5 5 5 6 6 6 6 5 5 5 6 8 10 11 13 13
28 43 51 54 52 54 66 82 89 78 43 12 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 1 0 0 0 1 1 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 1 1 1 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 6 8 9 9 10 12 12
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