Vorticity
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nan 9 9 9 9 9 9 9 9 9 8 7 7 7 8 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 7 7 8 11 15 17 17 17 17 18 18 18 18 18 18 17 15 13 10 8 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 12 15 17 18 18 18 18 17 17 18 19 19 18 16 13 10 8 7 6 5 5 6 6 6 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 10 11 11 11 10 9 8 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 7 6 5 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 9 10 12 15 17 17 17 17 17 17 17 18 20 20 19 16 12 10 8 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 10 10 9 9 9 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 9 9 9 9 10 12 14 14 14 14 15 16 17 19 20 20 20 18 14 11 9 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 9 9 8 8 7 7 7 8 7 7 8 8 7 6 6 5 5 6 6 7 7 7 6 6 6 5 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 8 9 9 9 9 9 8 8 8 8 8 7 8 9 9 8 8 8 9 10 10 10 10 11 14 17 18 19 20 20 19 15 12 9 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 5 5 6 6 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 7 7 8 8 8 8 9 11 14 16 19 20 21 19 15 12 10 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 nan
nan 8 9 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 9 10 13 17 20 20 19 15 12 10 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 nan
nan 8 9 10 10 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 7 7 6 5 6 6 6 6 6 7 6 6 5 6 6 7 8 9 9 9 8 7 7 7 6 6 6 6 6 7 7 8 9 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 10 10 11 10 10 9 8 8 7 7 7 7 7 7 8 7 8 10 13 17 19 19 16 13 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 9 9 nan
nan 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 8 7 7 7 7 6 5 5 6 7 8 9 10 10 9 7 7 6 6 6 6 6 6 6 7 7 9 10 11 11 11 10 10 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 11 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 9 10 12 15 17 17 15 13 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 nan
nan 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 9 9 8 8 9 9 9 8 8 7 8 8 7 8 8 8 7 5 5 6 7 8 9 10 10 9 8 7 6 6 6 6 6 6 6 6 7 8 9 10 11 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 10 13 16 16 15 14 12 11 11 11 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 8 nan
nan 7 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 9 8 9 9 9 8 8 7 7 6 6 7 8 9 8 7 6 6 6 8 8 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 8 9 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 8 7 7 8 8 8 9 8 8 7 7 7 9 9 10 10 10 10 10 9 9 10 12 14 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 nan
nan 8 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 9 8 7 7 6 5 5 6 7 9 9 9 8 7 7 8 9 9 8 8 7 7 8 8 7 7 6 6 6 7 7 6 5 5 7 8 10 12 12 11 10 10 9 9 8 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 8 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 10 11 12 12 11 11 11 13 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 8 8 nan
nan 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 8 7 6 6 5 5 6 7 9 9 8 8 8 9 10 10 9 7 6 6 7 8 7 7 6 6 6 7 8 7 5 4 5 6 8 11 12 12 12 11 10 10 9 8 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 7 6 6 6 7 7 8 8 9 9 9 8 9 9 10 10 10 10 11 11 10 9 9 10 10 10 9 8 9 12 14 15 14 13 12 12 11 11 10 10 10 9 9 9 9 8 8 nan
nan 8 8 8 8 8 9 9 9 9 8 7 7 8 8 7 8 8 8 9 8 8 8 9 9 9 8 8 7 6 6 5 5 6 7 7 8 8 8 9 10 11 9 8 6 6 6 7 8 8 8 8 7 8 8 8 7 6 5 6 7 9 11 12 12 12 12 11 10 10 9 10 10 10 11 11 11 12 11 10 10 11 10 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 8 7 9 12 14 13 13 12 11 10 10 9 9 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 9 9 10 10 10 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 6 5 5 4 5 6 7 7 7 9 10 11 11 9 8 7 7 7 7 9 10 10 10 9 9 10 10 9 8 7 7 8 10 11 12 12 13 13 12 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 9 11 12 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 nan
nan 9 8 7 7 8 9 10 11 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 5 4 5 6 7 7 8 9 11 11 12 11 10 10 8 7 8 10 11 11 11 11 11 11 10 9 8 7 7 8 9 11 12 12 12 12 11 11 11 12 13 13 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 6 7 8 7 6 5 6 7 7 7 7 7 8 8 9 9 9 9 9 9 nan
nan 9 8 8 8 9 10 11 11 12 10 8 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 6 5 5 5 6 7 7 8 9 10 12 13 13 13 13 12 11 10 9 9 10 10 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 6 5 5 5 4 3 1 1 3 5 6 6 6 7 8 8 8 9 9 9 9 nan
nan 9 9 9 9 10 10 10 11 11 10 8 7 7 7 8 8 8 9 9 10 10 10 9 9 10 10 10 9 9 10 9 8 7 7 7 8 8 8 8 8 9 11 12 14 15 16 16 16 15 12 9 8 8 8 9 10 10 10 9 9 9 10 10 9 9 8 8 9 9 10 11 12 13 13 12 12 13 14 15 14 13 13 13 12 10 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 6 5 4 1 -1 -1 0 3 5 5 6 7 7 7 7 8 8 7 nan
nan 10 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 11 11 10 9 8 8 8 8 9 11 13 14 15 17 18 19 16 12 9 8 8 8 9 9 10 10 9 10 10 10 9 7 6 7 8 9 10 10 11 12 12 11 11 12 13 14 13 13 14 14 13 12 11 12 12 11 10 9 9 8 7 8 8 8 8 9 9 9 9 10 10 10 10 10 11 10 9 8 7 8 9 8 8 7 6 4 -0 -3 -4 -1 3 4 5 6 6 5 5 6 5 4 nan
nan 13 13 12 11 11 10 10 10 9 9 8 8 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 11 11 12 13 14 14 14 14 13 11 9 8 7 8 9 10 11 12 13 14 15 17 16 13 10 9 9 9 9 9 9 8 8 9 9 9 8 7 5 4 4 6 7 8 8 9 9 9 9 9 9 10 11 11 12 13 13 11 11 13 14 13 11 10 9 7 7 6 6 7 7 8 8 9 9 9 10 9 9 10 10 10 8 6 6 7 8 9 8 7 7 5 2 -3 -6 -2 2 4 4 5 5 4 4 4 3 2 nan
nan 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 12 13 14 14 14 14 15 15 14 14 12 9 8 7 8 8 8 9 10 10 10 11 12 12 11 10 9 9 8 8 8 7 7 7 7 8 8 8 6 4 2 1 1 3 5 6 6 6 7 8 7 7 7 8 8 9 10 10 9 9 11 12 12 10 9 8 7 6 6 6 7 7 7 8 8 8 9 9 9 10 9 8 8 7 6 5 5 7 8 7 6 5 5 3 -2 -4 -1 2 4 4 5 4 4 3 2 1 1 nan
nan 14 14 14 13 13 13 13 12 11 11 11 11 11 12 12 11 12 11 11 11 11 12 12 12 11 12 12 13 14 14 14 13 13 14 14 14 12 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 7 7 7 7 8 8 8 8 8 7 5 3 1 -0 1 3 5 5 5 5 6 7 6 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 7 7 7 7 6 7 8 8 8 9 8 7 6 6 6 6 6 6 6 6 5 4 4 3 1 0 2 3 4 5 4 4 3 2 1 1 1 nan
nan 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 12 13 13 13 12 12 13 13 13 12 12 11 11 12 13 13 11 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 7 6 5 3 1 2 3 5 5 5 5 6 6 6 6 5 5 5 4 4 5 5 6 6 6 7 7 7 6 6 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 4 5 5 4 3 3 3 3 3 3 nan
nan 13 13 13 13 13 13 13 13 12 12 11 10 10 10 11 11 12 13 12 12 12 13 13 13 12 12 13 12 11 10 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 6 4 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 6 7 7 6 5 6 6 5 5 5 5 5 5 6 6 5 4 4 5 6 7 7 7 8 8 8 7 7 8 8 8 8 7 6 5 5 4 4 3 3 4 5 5 6 nan
nan 12 12 13 13 13 14 14 14 13 12 12 11 10 10 10 11 12 12 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 12 12 11 11 11 11 12 12 11 10 9 9 8 7 6 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 4 5 7 8 7 5 4 4 4 5 5 4 4 5 6 6 6 5 5 5 6 7 7 7 7 7 7 7 7 8 8 10 10 10 8 6 5 4 4 3 4 4 5 6 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
106 136 188 228 233 286 349 304 156 68 31 16 10 6 2 4 24 64 57 35 43 89 129 132 111 108 133 142 128 80 18 2 0 0 0 0 0 0 2 4 6 8 10 17 18 16 23 37 54 69 75 72 66 62 58 52 42 27 16 9 4 1 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 1 1 1 1 2 3 6 13 21 28 33 40 49 47 42 35 35 38 45 53 67 107 177 240 290 346 409 466 527 559 581 603 612 600 595 509 479 437 393 359 318 268 265 283 279 271 270 263
201 256 299 291 222 200 194 151 89 44 24 17 12 8 7 10 35 84 59 56 83 99 107 110 116 138 162 164 116 66 11 1 0 0 0 0 2 7 9 0 1 3 6 16 13 9 14 25 38 50 57 57 51 44 36 27 16 10 8 5 2 1 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 3 2 3 3 4 6 10 15 21 25 34 43 41 38 35 29 25 26 29 34 46 67 92 105 126 156 191 246 282 287 277 262 247 290 218 229 206 159 161 156 133 143 153 161 164 157 152
213 263 315 266 194 148 109 71 41 24 18 17 16 16 18 34 66 56 47 70 105 121 110 111 171 256 264 210 119 51 10 1 0 0 0 0 1 2 3 0 0 0 1 6 6 4 5 10 19 33 38 38 30 21 16 10 7 5 5 3 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 3 4 4 5 5 6 9 14 18 21 21 27 31 31 33 34 33 28 23 23 26 29 32 37 38 42 50 54 62 74 80 74 63 64 73 68 78 72 58 63 69 60 56 61 70 80 67 66
170 189 212 193 148 113 71 38 21 15 14 15 17 26 47 70 54 26 31 64 116 168 169 154 218 320 309 202 105 35 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 18 25 27 17 9 5 2 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 1 2 2 3 4 4 5 5 6 7 10 13 18 19 20 21 23 24 24 27 29 30 28 24 22 23 24 24 24 23 24 25 25 24 22 22 23 22 20 19 22 26 27 26 27 29 28 28 29 30 36 31 30
98 103 130 124 81 56 36 22 15 13 15 15 17 26 45 46 26 19 44 111 199 245 228 206 251 321 283 162 71 21 5 2 5 6 1 1 3 2 0 0 0 0 0 0 0 0 0 0 1 6 12 13 9 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 1 1 3 5 6 5 5 5 6 8 12 12 14 15 17 20 21 21 21 22 24 26 27 25 22 22 23 22 22 21 18 17 17 13 10 11 12 13 11 10 11 14 14 14 13 12 10 8 11 15 19 21 22
80 56 72 93 44 24 13 11 12 13 13 13 14 19 27 25 21 38 65 110 165 202 216 241 279 311 237 121 42 13 7 3 9 15 4 1 9 7 1 0 0 0 0 0 0 0 0 0 0 2 6 8 10 9 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 2 4 5 6 6 6 6 7 9 12 13 14 14 16 20 20 20 20 19 20 22 24 24 22 21 20 20 19 18 19 16 14 10 7 7 8 5 6 9 9 9 7 7 5 2 3 5 8 10 12 14 12
85 26 39 76 36 17 11 11 13 13 11 10 12 15 19 18 21 84 97 85 121 189 246 290 319 285 193 89 27 10 7 5 6 9 3 0 4 5 1 0 0 0 0 0 0 0 0 0 0 0 3 6 9 9 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 1 3 4 5 6 6 6 6 6 9 13 17 16 15 16 17 18 18 19 20 21 20 23 24 25 24 23 20 16 14 15 15 13 11 9 8 8 6 6 10 9 7 5 4 3 3 5 5 6 6 8 11 10
72 20 17 44 34 19 13 15 17 14 11 9 12 15 16 14 35 107 122 91 112 194 276 324 335 225 124 54 19 8 7 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 6 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 1 2 4 4 5 6 7 6 6 7 10 13 12 12 14 14 15 17 18 22 24 22 22 23 25 27 29 29 24 19 17 14 12 11 10 10 10 9 7 6 7 6 4 3 3 3 3 4 6 8 9 12 15
72 36 32 48 49 33 23 30 32 15 13 11 13 14 14 13 57 121 130 101 120 203 287 317 289 171 75 27 12 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 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 1 3 4 4 6 7 8 8 6 6 7 8 9 10 12 13 15 18 18 20 22 22 23 23 23 25 28 29 27 24 19 16 14 12 11 9 8 7 6 4 5 4 4 4 5 6 6 8 10 12 13 14 20
136 87 75 90 82 60 49 50 41 20 15 13 14 12 12 15 56 120 129 89 122 203 273 276 209 124 55 21 11 8 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 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 4 6 7 8 9 9 6 6 5 5 7 10 12 13 14 18 18 18 20 21 21 22 23 22 23 22 24 22 17 16 14 12 10 8 7 5 6 5 5 6 7 8 9 11 12 14 14 15 17 18 22
190 123 87 94 90 79 70 51 31 24 16 12 11 11 12 25 78 127 108 73 133 211 254 226 157 86 39 19 13 10 6 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 8 4 1 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 4 6 8 9 9 8 7 6 5 6 7 9 11 13 12 14 16 17 20 22 22 20 21 22 21 18 19 18 16 13 10 9 9 8 9 8 8 8 9 10 11 12 14 16 15 17 18 19 21 23 24
163 127 95 88 82 76 64 41 26 20 12 10 10 13 30 79 122 110 71 90 164 242 249 188 115 51 23 17 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 3 4 7 9 9 9 8 7 5 5 5 7 6 9 12 14 13 16 19 21 22 20 19 19 21 20 17 16 15 14 11 9 8 8 8 11 11 11 12 13 13 14 14 15 16 18 21 22 23 26 28 27
80 65 55 60 59 50 37 24 16 11 10 12 15 34 75 113 109 70 61 105 174 225 212 155 91 45 27 19 12 8 7 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 3 3 6 8 9 9 9 8 6 5 5 5 6 8 9 11 14 13 16 19 19 19 17 15 16 17 16 16 16 15 13 11 10 9 8 7 9 10 12 12 14 16 17 17 17 15 20 25 26 27 28 29 28
47 36 31 30 27 20 12 7 9 15 23 47 52 89 119 109 71 44 57 109 181 212 186 137 82 51 35 20 12 8 8 6 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 6 3 4 6 8 8 9 9 9 8 7 7 5 5 7 8 10 12 12 13 15 16 15 13 12 13 13 14 15 15 14 13 11 10 10 8 7 7 9 10 11 13 15 17 19 20 17 18 23 26 27 26 26 28
64 44 26 16 12 14 19 25 37 53 71 98 111 113 97 69 41 32 70 128 185 197 162 111 69 47 35 23 12 10 9 9 8 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 4 4 7 8 8 8 9 9 9 9 8 6 5 4 7 10 11 11 12 13 12 11 10 10 11 13 13 13 14 13 12 11 10 9 7 6 7 8 8 9 9 11 13 16 18 17 16 17 20 23 23 24 26
101 81 59 38 27 28 39 48 83 96 96 92 77 58 43 41 44 48 87 137 182 177 129 78 51 41 36 27 16 19 20 23 19 23 21 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 9 7 5 6 8 8 8 8 8 9 9 10 8 7 7 8 10 11 11 12 10 9 7 7 8 11 13 14 12 12 11 11 11 10 9 7 6 6 7 7 7 7 8 9 11 13 14 14 13 16 19 20 22 24
96 89 76 60 55 60 61 60 79 77 69 59 47 40 41 47 55 63 104 146 173 148 91 54 42 39 38 35 33 36 38 40 40 40 30 13 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 1 2 3 5 7 8 9 7 7 8 8 7 7 8 9 10 10 10 11 11 12 13 13 13 13 10 8 7 7 8 9 12 13 11 10 9 10 11 11 9 7 6 6 7 7 6 7 7 7 9 11 12 11 12 15 17 18 18 20
34 38 41 47 65 81 70 51 43 42 42 43 43 43 49 61 75 100 141 162 164 140 90 56 44 38 40 42 45 49 50 50 48 46 38 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 1 3 4 3 6 7 8 8 7 7 7 8 7 6 7 8 8 9 10 12 14 16 17 17 16 14 12 10 10 10 9 8 9 10 10 10 9 10 11 10 9 8 7 7 7 6 7 7 8 9 10 11 10 11 13 15 15 16 17 19
3 5 10 23 42 58 51 31 17 15 20 33 44 48 55 74 101 146 173 162 156 141 113 83 59 45 40 43 50 60 69 56 45 51 55 32 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 1 2 3 3 6 7 7 7 7 7 7 8 8 6 6 6 7 7 9 11 14 16 17 19 18 16 14 13 12 13 13 10 9 11 11 10 10 11 11 10 9 9 8 8 6 7 7 8 10 12 12 13 14 15 16 16 17 17 18 22
0 1 3 8 16 26 35 17 7 5 10 22 31 36 46 67 106 156 162 161 164 162 147 119 86 60 50 60 58 68 81 76 62 65 77 51 16 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 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 4 6 7 8 8 8 7 7 8 7 5 5 5 5 6 6 7 10 13 16 17 18 18 16 14 14 14 15 14 12 13 12 11 10 10 11 10 9 9 10 10 9 9 9 11 13 14 14 15 17 16 17 18 19 19 21 24
1 2 3 5 7 10 21 9 5 5 8 14 20 27 38 59 103 154 139 151 175 194 186 145 95 65 62 85 82 83 80 78 81 86 80 57 25 4 5 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 3 11 3 2 4 6 7 8 8 8 7 7 7 6 5 5 5 5 5 5 5 7 10 14 16 17 16 15 15 15 16 17 15 14 13 12 11 11 10 10 8 8 9 11 12 12 12 13 14 15 16 16 15 16 17 17 17 18 18 20 25
3 4 3 4 6 6 8 6 5 5 6 8 14 23 30 43 105 145 132 142 179 209 196 138 74 51 64 96 102 101 94 88 87 77 54 43 34 18 15 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 1 6 8 3 2 4 5 6 9 11 9 7 7 6 6 5 5 5 5 5 4 4 5 6 11 14 16 16 16 15 14 16 18 16 14 12 11 11 10 8 9 7 8 10 12 14 14 13 14 15 15 16 15 15 15 16 17 17 17 17 19 22
5 5 5 5 6 6 5 4 4 5 5 6 10 20 25 41 98 122 117 129 168 200 179 108 53 43 60 96 117 119 112 107 95 63 42 44 36 26 16 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 1 8 3 2 3 4 6 6 8 11 10 8 6 5 5 5 5 5 5 4 4 4 4 5 8 12 16 17 16 15 14 16 17 16 14 12 11 11 11 9 8 7 8 10 13 15 14 13 14 15 16 17 16 15 15 16 17 17 17 18 19 19
7 7 7 7 6 6 5 5 4 4 5 5 5 7 15 43 84 105 110 119 153 185 161 96 56 54 71 100 119 120 116 111 90 51 46 46 32 17 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 2 1 1 2 4 6 7 7 9 10 8 7 6 5 5 5 5 5 4 4 4 4 5 7 11 15 19 18 16 15 16 16 15 14 12 12 13 12 11 9 9 9 10 13 16 15 13 13 14 17 18 17 16 15 17 18 18 18 18 19 19
7 7 7 7 6 6 5 5 5 5 5 4 4 3 3 21 52 85 102 111 136 159 137 95 69 74 84 99 120 125 114 99 76 61 48 33 17 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 3 5 2 1 2 4 6 8 9 11 9 10 8 6 5 5 6 6 5 4 4 4 4 5 6 8 13 19 20 18 16 15 15 15 13 13 13 13 12 10 9 9 10 12 14 16 16 15 14 16 19 21 21 18 17 18 18 18 18 19 20 20
6 7 7 6 6 6 6 5 4 4 4 4 3 3 3 5 15 62 96 112 128 139 131 105 80 90 82 73 84 102 103 83 58 47 34 17 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 1 1 2 3 6 9 11 12 11 11 9 7 7 6 5 5 5 5 4 4 4 5 5 7 11 18 20 19 16 15 15 14 13 12 12 12 11 10 9 9 12 14 16 17 18 18 19 20 22 23 23 21 20 20 19 19 19 19 19 19
6 7 7 7 6 6 6 5 4 4 4 4 3 3 3 4 4 29 70 103 123 140 150 127 93 98 89 79 83 96 101 85 62 41 20 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 2 3 2 1 2 3 5 9 12 14 13 11 11 10 8 6 5 5 5 5 5 5 4 5 6 6 10 15 18 18 16 15 15 14 13 12 13 12 11 11 11 11 13 16 18 20 21 20 20 21 23 24 23 22 21 20 20 19 18 18 18 18
6 6 7 7 6 6 6 5 4 4 4 4 3 3 3 4 4 14 41 80 118 151 173 141 107 90 74 62 66 82 89 64 38 22 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 4 11 11 4 1 2 5 6 10 13 15 14 12 11 10 6 5 5 5 5 5 5 5 5 5 6 6 9 14 16 14 12 13 14 14 13 12 12 12 12 12 11 11 13 18 19 20 21 20 19 19 23 24 23 22 21 20 20 19 18 18 18 18
6 6 7 7 6 6 5 4 3 3 3 3 2 3 3 3 3 7 22 50 95 142 167 124 88 58 34 23 28 42 51 26 17 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 5 10 9 1 1 2 4 7 11 14 14 13 11 10 9 6 5 5 6 5 5 5 5 5 5 6 6 8 11 14 15 14 13 14 14 13 12 12 11 11 12 12 9 12 17 21 20 18 18 18 18 23 24 23 22 21 20 20 19 18 18 18 19
6 6 6 6 6 5 4 3 3 3 3 2 2 3 3 3 2 3 6 19 62 110 123 81 42 20 11 8 12 17 21 13 6 2 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 0 0 1 4 10 10 1 1 2 4 7 10 12 13 12 11 10 8 6 6 6 6 5 5 5 6 6 5 6 6 6 9 12 15 15 14 15 15 13 12 12 12 12 13 14 11 11 15 21 22 17 17 19 22 23 23 22 21 20 21 20 19 19 18 19 19
6 6 5 5 5 4 4 3 3 3 2 2 2 3 3 3 2 2 3 8 38 71 67 36 11 4 5 6 7 7 5 3 1 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 0 0 0 0 0 0 0 0 0 0 1 6 13 10 3 3 3 4 5 7 9 11 11 11 11 10 7 6 6 6 6 6 6 5 5 5 6 7 7 9 12 15 16 16 16 16 15 13 13 13 15 15 14 13 11 12 17 22 19 18 20 21 21 21 20 20 21 20 20 19 18 18 17 17
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