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 4 4 4 4 4 4 4 4 4 5 8 11 13 13 11 7 5 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 7 10 14 16 13 9 8 10 11 10 9 8 6 5 5 4 4 5 4 4 4 3 1 -0 2 4 6 7 8 11 13 15 16 15 13 11 10 8 7 7 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 nan
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nan 4 5 4 4 4 4 4 4 4 4 4 5 6 7 8 7 5 4 4 5 5 5 6 6 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 6 8 11 13 12 10 9 10 9 9 8 8 8 7 6 5 6 7 6 5 5 4 3 2 1 3 6 7 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 8 9 8 8 7 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 nan
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nan 8 8 8 7 7 6 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 8 7 7 7 8 8 9 9 9 9 10 10 9 8 8 7 7 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 3 -1 -2 0 3 5 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 7 7 nan
nan 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 6 5 6 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 6 3 0 -0 1 2 4 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 7 7 7 nan
nan 9 9 9 8 7 7 6 7 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 10 9 8 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 7 7 8 8 9 9 8 8 7 5 2 1 1 3 5 6 5 4 4 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 7 7 6 nan
nan 10 10 9 9 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 10 10 9 8 8 7 8 8 8 8 7 7 6 7 7 7 6 5 5 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 9 8 7 5 4 5 6 5 3 1 0 2 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 7 7 6 6 nan
nan 10 10 9 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 8 8 7 8 9 9 8 7 6 6 7 7 8 8 8 8 8 9 9 10 10 10 10 11 10 9 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 6 6 7 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 7 6 7 8 9 9 8 8 8 8 7 4 -0 -3 -1 3 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 8 8 8 7 7 6 6 5 nan
nan 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 7 7 7 7 7 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 6 6 7 8 8 9 9 10 10 9 8 6 1 -3 -2 1 4 6 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 6 6 5 5 nan
nan 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 6 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 9 9 10 12 12 12 11 10 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 8 8 9 10 10 10 9 9 7 4 1 -0 0 2 4 6 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 5 5 5 nan
nan 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 6 6 5 5 6 7 8 8 9 9 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 8 8 9 9 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 4 1 0 1 4 6 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 nan
nan 9 9 9 7 6 5 6 7 7 7 7 7 8 8 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 11 12 11 10 10 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 8 8 8 9 9 9 8 8 7 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 7 4 2 1 2 4 6 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 nan
nan 9 8 7 6 5 5 6 7 7 7 6 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 7 7 6 6 6 6 6 6 7 8 8 8 8 10 11 12 11 9 9 9 9 10 10 10 9 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 9 9 8 8 7 8 8 8 8 7 6 4 2 2 4 6 9 10 11 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 nan
nan 8 8 7 6 5 5 6 7 7 7 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 7 7 6 6 5 5 6 6 7 8 9 9 10 11 11 10 9 9 9 9 9 10 10 9 8 7 6 6 6 7 7 7 7 8 8 7 7 7 8 8 8 7 7 6 6 7 7 7 7 6 6 7 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 7 6 7 7 7 8 8 8 7 6 4 3 4 6 9 11 12 11 10 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 nan
nan 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 11 11 11 10 9 9 9 9 9 10 10 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 5 6 7 7 7 6 6 5 5 6 7 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 9 11 11 9 6 4 4 7 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 nan
nan 8 7 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 6 6 7 8 9 10 12 12 11 10 9 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 6 6 7 6 5 4 5 5 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 5 6 6 7 7 7 7 7 7 7 8 8 8 7 8 9 8 4 -1 -3 2 7 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 10 11 12 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 6 6 7 7 6 6 7 7 8 8 8 8 8 8 7 4 -1 -5 -3 4 8 9 8 7 7 6 6 6 6 6 6 6 6 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 6 6 6 7 8 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 8 6 6 5 5 5 6 7 8 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 7 8 8 8 6 1 -4 -5 1 7 10 10 9 8 7 7 6 6 6 6 6 6 6 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 9 9 10 10 9 8 8 7 7 6 6 6 5 5 6 7 8 9 11 11 10 9 8 8 8 8 9 8 8 9 9 10 10 10 9 7 5 5 4 4 5 5 6 7 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 5 0 -4 -1 6 11 12 10 9 8 8 7 7 6 6 6 6 6 6 5 5 5 nan
nan 9 9 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 8 8 9 9 9 8 8 9 9 8 7 6 6 6 5 5 6 7 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 6 5 4 5 5 6 7 7 7 8 8 9 9 10 10 10 10 10 9 8 7 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 5 2 0 4 11 13 12 9 8 8 8 8 7 6 6 6 6 6 6 5 5 5 nan
nan 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 10 11 11 9 7 7 7 7 6 5 5 6 7 9 10 11 10 10 9 8 8 7 7 8 8 8 8 8 8 7 6 6 6 6 7 8 8 7 7 8 8 8 9 10 11 11 11 10 9 7 7 7 7 8 8 8 7 8 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 6 5 5 9 13 13 10 8 8 8 8 7 6 6 5 6 6 6 6 5 5 5 nan
nan 9 9 10 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 10 11 10 8 7 7 8 9 8 6 5 5 6 8 9 10 11 10 10 9 8 7 7 7 7 8 8 8 7 7 7 6 7 8 9 9 8 7 6 7 7 7 8 9 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 9 10 9 9 9 8 6 5 5 5 5 5 5 6 6 6 5 5 5 nan
nan 9 9 10 11 9 8 7 7 6 6 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 7 7 7 8 9 9 8 8 9 9 10 8 7 6 6 6 7 8 8 9 10 11 11 10 8 7 6 7 7 8 8 9 8 8 8 8 9 10 9 8 6 6 6 6 6 7 7 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 6 4 2 2 3 5 5 5 6 6 6 5 5 5 nan
nan 8 9 10 10 9 8 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 10 10 10 9 8 7 7 6 7 7 7 8 9 10 10 10 9 8 8 8 8 9 10 10 10 9 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 7 9 10 10 8 7 7 8 7 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 8 8 7 6 5 5 4 3 1 -3 -2 2 4 5 6 6 6 6 6 5 5 nan
nan 8 8 9 9 8 8 7 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 8 8 7 7 8 8 8 9 9 9 8 9 9 10 10 10 10 11 12 12 10 8 7 8 9 9 8 8 8 8 8 7 8 8 7 6 6 6 7 9 10 10 9 9 9 9 9 8 9 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 7 3 -1 -2 -1 -1 -3 -5 -2 2 4 5 6 6 6 6 6 5 5 nan
nan 8 8 8 8 8 7 6 7 8 8 8 7 7 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 12 13 12 10 8 7 7 8 8 8 7 7 8 8 8 9 9 8 7 6 6 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 5 0 -2 -3 -2 -1 -2 -1 2 4 5 6 6 6 6 6 6 5 5 nan
nan 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 11 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 11 12 12 12 10 9 8 7 8 7 7 7 7 7 7 8 9 10 9 8 7 7 8 9 9 9 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 10 10 10 10 10 11 11 10 9 9 8 9 9 9 9 8 8 7 4 2 1 2 3 4 3 4 5 5 5 6 6 6 6 6 5 5 5 nan
nan 8 8 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 7 8 9 10 11 11 10 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 9 8 8 8 8 8 6 5 4 5 6 7 6 5 4 4 5 5 6 6 6 6 5 5 5 5 nan
nan 8 7 7 8 8 9 9 8 8 8 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 7 8 8 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 10 10 9 8 8 8 9 9 9 8 7 6 7 7 6 3 2 2 3 4 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
42 90 156 197 177 115 56 42 35 27 27 31 36 66 163 339 590 945 1113 1143 690 251 71 25 13 14 21 29 39 39 39 43 42 37 31 32 40 37 31 32 43 52 65 90 147 258 230 115 34 11 7 5 3 0 7 12 28 16 6 2 2 8 16 22 20 18 16 16 13 10 6 3 1 0 0 0 0 0 1 3 5 11 32 81 151 266 512 981 1615 2156 2483 2421 1967 1449 1003 650 427 324 291 266 204 164 139 131 125 131 161 189 196 218 260 283 297 319 329 302 270 237 219 221 231 236 224 251 264 221 166 122 94 82 85 99 122 147 159
75 144 200 245 193 121 68 46 34 26 29 39 59 119 288 622 998 1089 815 491 169 44 25 20 22 30 37 52 81 91 92 92 84 73 63 59 63 70 71 68 90 104 118 143 172 185 124 45 12 9 6 2 4 0 13 8 2 0 0 0 1 5 13 16 11 14 16 13 11 9 5 4 4 3 2 1 0 1 0 0 1 6 23 54 98 178 340 646 1150 1689 2203 2464 2408 2059 1505 964 594 393 327 282 231 194 163 141 138 146 172 208 205 223 276 314 343 374 385 357 316 280 265 282 283 292 271 299 302 251 202 171 147 134 139 160 167 175 157
134 232 269 292 230 164 102 66 41 29 33 50 97 214 430 767 1068 788 394 151 55 38 34 29 31 39 53 105 167 201 204 185 157 143 148 147 132 148 163 167 143 120 101 93 86 67 38 16 8 6 3 0 0 0 5 3 1 0 0 0 3 12 13 9 8 11 12 11 10 9 7 6 5 4 6 4 1 1 0 0 0 4 18 44 83 149 271 460 719 1028 1401 1771 2057 2091 1744 1160 698 504 421 356 298 254 224 182 159 173 187 214 211 264 343 437 487 511 482 423 375 335 290 308 325 339 350 360 343 311 281 240 209 210 231 275 261 241 212
217 356 401 328 254 202 144 96 52 32 46 77 131 266 478 726 693 374 137 50 42 46 39 33 42 60 110 217 268 299 289 246 204 182 176 171 156 142 132 103 96 68 40 21 12 8 5 2 2 1 0 0 0 0 0 0 0 0 0 0 1 7 6 5 8 10 11 11 11 11 10 9 9 11 11 6 1 2 1 0 0 3 13 35 75 135 247 377 511 604 717 893 1201 1562 1593 1380 1132 886 690 567 469 414 373 313 275 260 231 215 207 280 367 484 627 709 688 623 518 469 412 424 424 421 417 394 355 325 302 286 303 328 333 365 357 327 286
347 528 520 380 284 233 160 105 61 46 76 118 163 251 399 503 367 166 58 35 39 44 43 49 87 139 237 318 326 312 278 239 211 189 163 127 98 67 47 26 20 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 10 13 15 16 16 12 10 12 14 9 6 2 1 0 0 0 2 9 20 57 119 202 289 366 416 439 460 563 773 899 1007 1132 1121 966 841 754 677 602 546 490 441 369 323 278 307 367 506 805 1143 1176 1007 784 691 595 557 537 477 425 393 360 328 302 313 347 376 392 417 423 403 375
506 691 667 501 366 257 164 107 73 76 122 170 187 201 260 266 172 69 37 47 60 65 75 110 170 239 302 307 279 247 208 188 187 164 105 50 31 24 18 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 4 8 13 18 21 19 14 11 13 8 5 3 2 1 1 0 1 3 5 11 41 90 146 205 271 341 390 394 403 422 421 502 674 811 859 877 830 718 740 1015 1068 880 693 568 487 446 406 466 956 1778 1714 1333 1026 906 804 751 685 577 482 437 409 359 321 362 398 443 472 483 491 508 525
682 784 684 501 346 217 141 99 81 97 138 159 135 116 136 125 82 47 51 76 97 108 127 182 232 243 242 230 197 177 161 156 153 116 57 26 21 14 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 1 4 11 18 20 18 12 10 10 7 4 2 0 0 1 1 2 5 5 8 23 53 94 135 179 238 306 351 386 407 393 358 362 395 506 660 749 747 797 1412 1602 1356 1034 824 740 681 563 597 1259 1965 1852 1449 1038 987 1003 977 882 723 617 567 537 479 468 515 566 601 594 564 580 622 656
835 773 570 397 261 172 116 84 83 108 133 124 91 86 114 98 62 55 78 115 151 167 179 220 249 205 178 165 147 143 142 129 101 64 29 15 11 6 1 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 1 6 12 15 10 8 6 5 2 0 0 0 0 2 3 4 3 2 3 9 17 42 78 110 142 183 238 300 370 400 381 359 355 389 485 624 684 603 880 1024 1029 884 797 903 1082 1044 909 1195 1472 1341 1070 898 1040 1190 1133 964 820 768 800 812 796 766 763 770 778 766 729 755 779 824
850 653 471 302 182 123 94 81 89 110 117 95 89 152 213 200 176 181 197 204 205 189 168 179 174 109 83 97 120 139 138 106 58 34 19 14 12 4 1 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 1 6 8 5 4 3 2 1 0 0 0 0 1 4 4 1 0 0 2 5 14 33 54 78 106 145 193 260 320 353 368 384 393 413 503 520 432 425 472 477 457 539 813 1184 1286 1174 1086 1047 824 666 760 1016 1129 985 808 777 830 1026 1192 1179 1023 924 916 912 946 971 1011 1039 1094
816 569 395 245 140 95 88 94 104 117 106 93 151 274 302 280 326 376 353 308 286 186 104 95 74 54 65 104 137 139 117 89 54 22 15 10 7 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 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 1 4 2 0 0 0 0 2 6 12 19 39 64 94 129 169 202 238 292 357 396 401 436 453 436 420 405 366 329 372 530 713 797 921 1032 886 647 506 533 630 718 729 587 637 736 895 946 915 865 784 811 892 975 1109 1261 1336 1425
719 552 405 271 190 154 142 140 151 202 269 314 314 296 227 178 195 214 223 272 266 121 40 29 48 74 108 140 147 117 74 57 40 15 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 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 9 9 18 34 60 89 119 132 140 196 288 359 382 396 422 441 441 407 363 333 314 321 308 279 449 689 698 528 401 356 378 664 655 482 427 458 483 466 489 561 595 656 731 816 1072 1295 1426 1566
545 536 437 333 292 293 296 296 315 364 405 329 206 138 95 95 137 188 231 246 170 58 20 45 77 97 112 128 120 72 34 20 13 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 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 7 9 12 19 36 59 86 108 115 151 209 268 311 333 353 361 350 329 310 303 288 265 238 214 275 325 302 260 279 261 274 473 473 397 333 308 331 386 443 469 442 416 522 655 937 1190 1356 1460
347 371 337 315 324 352 390 428 445 395 290 139 52 35 39 63 111 173 215 172 82 27 37 71 86 80 71 71 61 27 11 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 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 1 5 8 10 11 19 37 57 82 108 124 146 179 220 250 267 269 260 258 263 269 268 259 240 210 194 196 215 224 235 194 193 239 279 321 347 362 404 445 462 449 414 362 518 690 853 1007 1116 1178
212 199 190 214 254 293 330 345 314 194 95 28 6 8 22 54 103 142 130 79 40 46 63 71 60 42 30 24 16 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 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 1 3 6 8 8 12 23 36 49 63 83 106 131 157 183 204 215 214 222 229 228 241 250 251 250 247 242 255 248 249 236 232 234 271 336 399 452 505 516 562 583 601 654 727 783 825 871 913 951
100 96 105 136 187 247 287 265 214 92 29 6 1 9 29 61 100 122 96 56 48 59 60 46 28 14 8 8 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 0 0 1 5 7 8 11 16 19 23 33 49 72 96 120 142 162 185 196 201 210 220 237 256 274 288 299 321 337 347 367 381 391 403 434 494 587 664 658 649 708 743 764 776 792 819 848 872 891 922
42 41 51 80 134 203 252 248 247 147 67 24 6 14 45 89 133 169 118 62 52 42 32 20 10 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 0 0 0 0 0 0 0 2 5 7 8 11 13 14 12 18 28 45 67 90 110 133 167 186 204 225 250 279 314 353 382 399 449 493 528 561 583 607 644 685 721 772 780 762 761 796 824 848 873 892 903 905 931 959 989
23 21 21 34 74 139 196 235 266 205 124 55 30 47 95 145 163 186 118 63 43 33 20 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 1 3 5 6 11 10 9 10 14 20 34 57 78 97 125 166 205 249 297 355 419 485 558 627 677 680 668 679 698 703 705 733 781 768 731 692 679 684 703 736 780 801 807 835 854 880 903 925
12 11 6 7 33 90 146 184 196 186 141 90 72 104 161 190 164 142 88 47 35 31 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 0 0 0 0 0 0 0 0 0 0 1 4 5 9 10 11 12 14 20 36 71 95 122 166 227 294 368 452 554 656 734 735 742 762 720 648 616 600 577 558 541 514 530 513 488 480 482 492 503 494 527 573 615 635 658 670 677
4 4 3 4 18 56 98 119 147 139 126 119 129 164 205 212 176 125 56 28 17 12 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 0 0 0 0 0 0 0 0 0 0 1 5 9 13 18 23 23 23 36 71 121 158 203 275 369 469 571 653 695 696 662 592 531 456 406 395 386 366 347 342 333 328 333 333 327 321 319 325 335 330 340 358 376 395 420 443 448
2 2 2 3 10 31 65 80 104 107 127 155 183 217 244 230 165 67 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 17 32 46 57 61 64 77 110 166 222 280 356 459 577 694 730 676 556 449 359 310 275 242 226 222 220 215 208 208 208 205 203 207 211 211 213 218 220 220 228 235 245 255 269 286 296
2 2 2 2 5 14 37 51 65 87 129 174 213 248 273 233 115 24 6 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 0 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 29 43 69 108 142 158 164 185 225 267 309 365 444 547 631 645 582 463 349 272 214 169 155 156 157 152 143 139 143 140 138 134 133 132 133 138 140 139 142 145 145 150 157 163 169 174 181 186
2 2 2 2 3 5 13 26 43 72 117 176 224 249 269 164 44 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 2 9 6 2 1 2 3 2 1 4 9 15 28 62 118 198 258 295 322 330 340 365 399 416 430 452 475 477 439 372 294 217 154 127 110 103 108 118 121 114 103 100 104 102 99 95 93 92 91 95 96 97 98 99 96 96 102 107 109 106 112 115
3 3 3 3 3 3 5 17 45 84 134 201 272 296 222 69 13 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 2 21 22 16 13 13 15 16 19 28 38 54 93 187 326 500 589 544 463 426 440 432 414 387 372 354 322 268 198 141 121 114 104 98 94 91 90 87 90 87 81 78 77 75 73 73 71 70 71 71 71 72 72 72 71 72 72 73 73 71 74 76
2 2 2 3 3 3 5 19 53 106 186 273 300 210 74 13 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 1 27 37 35 33 35 46 62 78 102 129 175 263 392 527 626 616 494 385 322 297 280 259 232 203 180 162 135 105 88 86 94 100 100 95 86 72 65 66 63 60 58 57 57 57 57 56 55 54 54 54 54 55 56 56 56 55 56 56 56 57 57
2 2 3 3 3 4 8 21 70 153 246 294 233 106 23 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 18 55 56 52 54 71 111 174 248 316 352 382 450 490 480 431 349 264 214 178 148 131 125 118 106 96 94 87 85 82 84 89 91 87 81 74 64 59 54 52 50 47 44 44 45 47 46 45 44 44 43 43 44 44 44 44 45 46 46 46 45 45
3 3 3 3 3 3 13 34 94 183 247 222 113 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 0 0 0 0 0 0 0 0 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 32 65 77 80 89 116 180 295 501 588 526 415 340 301 266 228 188 149 124 105 89 79 77 76 71 71 73 73 75 75 75 78 78 71 66 64 60 55 49 45 41 38 37 36 36 38 37 37 37 35 34 35 35 35 35 36 35 35 35 35 35 35
2 2 3 2 3 4 18 45 89 138 159 118 35 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 5 25 47 71 90 102 122 171 242 324 317 272 229 196 177 165 151 132 109 93 82 76 73 70 68 61 62 64 69 74 74 70 68 70 67 61 58 56 52 47 42 38 35 32 31 28 30 31 30 28 25 23 24 25 24 24 25 24 21 21 20 21 21
2 2 2 2 2 4 14 25 30 30 30 23 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 0 0 0 0 9 26 41 56 74 84 90 108 123 124 101 90 108 131 141 136 118 100 86 80 75 71 67 61 59 54 55 57 61 66 69 68 64 63 59 55 49 46 42 39 36 31 28 27 25 20 20 21 19 15 13 13 13 13 12 10 11 11 9 8 8 7 6
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