Vorticity
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nan 8 8 8 8 8 9 10 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 8 9 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 12 12 11 11 11 12 12 11 11 10 10 11 11 13 16 17 13 9 6 6 8 12 14 15 15 15 14 13 11 10 9 8 7 7 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 10 10 9 8 7 7 7 8 8 8 8 7 7 8 8 7 7 6 7 7 6 6 7 7 8 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 16 17 16 13 9 7 9 11 13 15 16 16 16 14 13 11 10 9 8 8 8 7 7 7 7 7 6 nan
nan 10 11 10 10 10 10 10 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 8 7 7 6 5 6 8 9 9 9 9 9 9 9 8 8 8 8 8 10 11 11 13 16 18 19 17 14 11 10 11 13 15 16 17 16 15 14 13 12 11 11 10 9 8 8 7 7 7 7 nan
nan 10 10 10 9 9 10 9 8 7 7 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 10 9 9 8 7 6 6 7 9 9 9 9 8 7 7 7 6 6 6 6 7 9 11 12 14 16 19 21 21 17 14 12 12 13 14 15 16 15 14 13 13 12 12 12 11 11 10 10 9 9 9 9 nan
nan 8 8 8 9 9 10 9 9 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 8 8 8 9 10 10 10 9 9 9 10 11 11 10 10 10 9 9 8 7 8 9 10 9 9 8 8 7 6 6 7 7 7 6 7 8 10 12 15 17 20 22 22 19 15 12 12 12 13 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 9 8 8 7 7 7 6 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 10 9 9 9 9 8 7 7 7 7 8 7 7 7 7 8 11 14 18 21 22 22 19 16 13 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 12 12 12 12 12 nan
nan 7 8 9 9 9 8 8 8 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 7 8 8 8 9 9 8 8 8 7 7 6 6 6 7 8 10 10 11 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 11 11 10 10 9 9 10 11 10 9 9 9 9 9 8 7 7 8 8 8 7 7 6 6 8 12 16 20 22 22 20 17 14 13 12 12 12 12 11 10 9 9 9 9 10 10 10 11 11 11 12 12 12 nan
nan 8 8 9 9 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 9 9 9 8 8 7 6 7 9 10 10 8 6 5 5 5 7 8 9 9 10 10 9 8 7 7 6 5 5 6 7 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 11 11 11 11 10 9 10 11 11 10 10 10 10 10 10 9 8 8 8 9 8 8 7 6 6 6 8 12 16 19 20 19 17 15 14 13 13 13 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 7 8 9 9 9 8 7 6 5 5 7 8 10 11 11 11 10 8 8 7 6 6 5 6 7 7 8 8 9 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 10 9 8 8 9 9 8 8 8 8 7 7 6 7 10 14 15 16 15 14 13 12 12 12 12 11 10 11 11 10 10 10 10 10 11 11 11 11 10 10 nan
nan 8 8 8 8 8 7 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 10 11 11 10 9 8 7 6 6 6 7 9 8 7 6 6 7 8 8 8 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 9 10 10 10 9 8 8 8 9 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 7 7 6 6 6 7 8 8 8 9 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 10 10 nan
nan 8 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 9 8 8 8 8 7 6 6 6 8 8 8 7 8 8 9 9 10 9 9 7 6 6 6 6 8 10 11 9 7 6 6 7 8 7 6 6 7 7 7 7 7 8 9 10 10 9 9 10 10 10 10 10 10 9 7 7 8 9 10 10 10 9 8 7 7 8 9 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 8 6 3 1 1 3 3 4 6 9 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 9 10 9 9 8 7 7 8 8 9 10 10 10 10 9 9 9 8 7 7 6 6 6 5 5 6 7 8 8 8 9 9 9 9 9 9 8 6 6 6 7 10 12 13 12 10 8 8 8 9 9 7 5 5 5 5 6 6 6 8 9 10 10 9 9 9 9 9 9 9 9 8 7 6 7 9 10 10 9 9 8 8 7 7 7 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 8 6 4 4 5 6 8 10 11 11 10 11 12 12 12 12 11 10 9 9 9 9 8 8 8 7 nan
nan 8 8 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 6 6 6 7 8 8 9 10 10 10 10 9 7 6 6 9 12 14 12 11 9 8 8 9 9 9 8 6 5 4 4 4 4 6 7 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 9 10 10 9 9 9 8 8 7 6 6 6 7 8 9 10 11 10 9 9 9 8 8 9 10 10 10 10 10 9 8 7 8 11 14 16 14 12 11 11 12 12 11 11 10 9 8 7 7 6 5 4 4 3 nan
nan 7 7 7 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 7 6 6 6 6 5 5 5 6 7 8 9 10 11 11 10 9 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 7 5 4 3 4 5 6 7 8 9 10 10 10 10 9 9 8 8 8 8 7 7 8 10 10 10 10 9 9 8 8 6 6 6 7 7 8 10 11 10 9 9 9 8 8 8 9 10 10 9 9 9 9 9 11 13 16 16 14 12 11 10 10 10 9 8 7 6 4 3 2 2 1 0 -0 -0 nan
nan 8 7 7 7 7 8 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 6 6 7 8 10 11 11 10 10 9 9 8 6 5 6 7 8 9 9 9 9 8 8 8 6 4 4 4 4 5 5 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 9 10 10 10 9 9 8 8 8 9 10 10 9 9 9 10 11 13 14 13 11 9 7 6 6 6 6 5 4 3 2 1 -0 -1 -1 -2 -2 -2 -2 nan
nan 9 8 7 7 8 9 10 11 11 10 9 8 8 7 8 8 8 9 9 10 9 9 9 9 9 9 8 8 7 7 7 7 6 5 5 6 6 6 7 9 11 12 11 11 10 8 6 5 6 7 8 9 9 8 8 7 8 8 7 6 5 5 6 5 5 5 5 5 6 7 8 9 9 8 7 7 7 7 8 8 9 10 9 9 8 7 7 7 8 8 8 8 8 9 9 10 10 11 10 9 9 8 8 9 10 10 9 10 10 11 12 12 10 7 3 0 -1 -1 -1 0 1 1 0 -1 -1 -1 -2 -3 -3 -2 -2 -2 -2 nan
nan 10 9 8 9 9 10 11 11 10 10 8 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 9 8 8 8 8 7 6 6 6 6 6 5 5 7 10 12 12 12 11 10 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 8 8 7 5 5 5 5 5 5 6 8 8 8 7 6 6 7 8 9 9 9 9 8 7 6 6 7 8 8 8 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 8 5 1 -3 -3 -3 -4 -5 -5 -4 -2 -1 -2 -2 -2 -2 -2 -2 -1 -1 -0 0 nan
nan 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 11 12 12 11 11 11 11 11 10 9 9 10 10 8 7 7 8 9 8 6 5 7 9 11 12 12 12 11 12 12 11 10 8 7 7 6 6 7 8 10 9 8 8 9 8 7 6 5 5 6 5 5 6 7 8 8 6 6 6 8 10 10 9 9 9 8 7 6 6 8 9 9 8 7 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 8 7 5 3 2 2 1 -1 -4 -6 -5 -3 -2 -1 -1 -1 -1 -0 -0 0 1 2 4 nan
nan 11 11 12 13 13 11 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 12 11 11 10 10 10 11 11 11 10 11 12 12 10 8 6 7 8 9 9 10 11 12 13 14 13 10 8 8 7 7 7 7 8 9 9 8 8 8 7 7 6 5 5 5 6 6 5 6 7 7 6 6 6 9 10 9 9 9 9 9 8 7 7 8 9 9 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 8 7 7 7 6 4 1 -1 -3 -3 -1 -0 0 1 1 1 2 3 4 5 7 nan
nan 10 11 12 13 12 12 11 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 14 15 14 11 9 7 7 7 7 7 9 10 11 13 13 12 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 5 4 4 5 5 5 5 6 6 6 6 7 9 10 9 8 8 9 9 9 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 7 6 3 0 -1 -1 1 1 1 2 3 4 5 6 7 8 nan
nan 10 10 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 14 15 13 11 9 7 7 6 7 7 8 9 10 11 11 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 5 4 4 4 5 5 5 6 6 7 7 8 9 9 8 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 8 7 7 8 8 9 9 9 9 8 6 3 1 1 1 2 3 3 4 6 7 7 8 8 nan
nan 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 11 10 10 11 11 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 8 7 7 7 8 8 8 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 7 7 8 7 6 5 4 4 5 5 6 6 7 7 8 8 8 9 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 9 7 6 4 3 2 2 3 4 5 6 7 8 8 7 7 nan
nan 10 10 11 11 12 11 10 10 9 9 9 9 10 10 10 11 11 10 10 9 9 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 11 11 12 12 12 12 12 10 9 8 8 8 8 7 7 6 6 5 5 5 6 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 7 5 4 3 3 3 3 4 5 6 7 7 7 7 7 7 nan
nan 10 10 11 12 13 13 12 11 10 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 12 11 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 8 8 7 5 4 4 5 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 8 8 7 5 4 3 3 3 4 4 5 6 6 7 7 7 7 8 8 nan
nan 10 10 11 12 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 9 9 9 8 7 5 5 4 4 5 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 6 6 5 4 4 4 5 5 6 6 7 7 8 8 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
22 4 5 2 1 1 0 5 9 24 19 8 6 13 31 55 69 97 104 119 113 157 215 186 102 49 41 62 79 81 84 97 111 127 152 191 247 329 419 468 442 356 287 307 382 374 320 262 212 173 145 117 89 61 40 20 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 1 2 2 3 4 5 6 21 68 244 345 353 343 341 333 323 339 385 481 572 607 627 641 638 633 624 596 576 531 491 449 425 406 384 350 295 248 231 239 231 225 171 117 94 65 28 9 7 8 4 4 7
50 24 14 10 4 5 9 17 25 23 13 7 9 22 55 82 74 126 129 147 157 211 251 214 133 73 52 65 78 77 81 90 102 115 137 168 211 271 356 451 492 424 347 328 329 304 264 221 180 148 127 104 75 42 22 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 1 3 3 4 5 5 4 7 11 33 148 241 267 272 284 276 254 233 224 241 268 279 318 352 350 336 331 314 294 266 230 198 160 139 132 115 83 52 31 47 44 59 44 26 15 5 0 0 0 1 0 1 2
93 46 7 12 11 14 21 33 33 20 10 10 20 55 106 120 116 123 144 184 233 282 298 251 159 84 58 71 81 73 75 81 91 103 120 145 177 217 273 375 455 442 402 355 307 262 224 192 159 129 116 93 59 27 9 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 2 4 4 7 7 7 7 10 14 36 96 154 179 202 216 221 209 180 148 119 104 105 122 152 182 187 189 179 169 143 109 82 57 42 38 35 28 21 14 12 9 6 4 2 1 0 0 0 0 0 0 0 0
156 76 27 10 5 3 12 30 35 23 11 13 42 98 133 121 111 126 161 207 271 350 380 312 176 84 65 77 83 77 74 75 78 85 100 123 149 181 217 286 359 389 376 343 298 248 205 171 137 109 95 66 36 13 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 1 3 5 6 8 8 8 10 12 15 30 77 129 115 141 160 176 170 151 121 87 61 46 47 63 80 94 107 100 96 83 62 44 34 28 22 19 16 12 10 8 4 1 1 1 0 0 0 0 0 0 0 0 0
192 110 65 30 4 0 5 25 38 29 13 9 33 100 140 132 122 141 198 250 309 356 371 324 183 91 68 78 87 85 79 74 69 69 81 103 124 150 181 226 276 311 320 302 266 226 189 153 119 93 68 35 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 1 4 6 8 8 9 9 9 9 12 19 39 71 70 81 104 129 133 126 110 90 70 55 43 35 35 41 52 49 48 43 37 33 30 25 19 15 12 10 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0
230 161 101 47 13 10 7 23 36 26 10 9 30 94 142 122 100 140 200 250 283 312 333 299 197 104 66 79 91 86 78 73 66 61 66 78 97 121 150 181 216 249 259 243 218 193 164 132 102 73 36 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 1 2 4 7 9 10 11 12 10 9 9 11 17 31 36 41 53 81 93 91 89 86 75 60 46 40 34 33 31 30 27 23 21 19 20 19 14 11 8 5 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0
275 186 116 67 39 37 29 35 37 20 5 8 30 85 133 123 120 145 176 235 302 331 323 275 194 119 61 80 88 81 78 73 61 55 57 63 78 95 119 147 177 204 214 202 181 158 133 107 82 48 11 0 0 0 0 0 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 8 11 13 13 12 11 9 9 9 12 20 28 33 39 51 58 58 59 56 51 48 46 44 41 37 34 29 24 20 16 11 11 11 8 6 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
304 205 133 87 62 51 49 53 48 29 14 15 34 81 117 122 131 146 178 240 301 313 272 217 165 123 69 81 88 84 76 63 49 45 44 42 57 69 87 116 143 164 175 169 151 128 103 74 42 14 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 4 6 10 14 17 17 14 12 10 9 9 11 18 24 31 37 40 42 43 42 39 36 37 38 39 38 38 37 35 28 23 20 15 8 6 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2
279 197 139 94 68 56 56 61 61 52 42 48 100 124 120 118 122 135 171 232 289 291 229 181 144 101 79 84 85 79 70 58 45 40 37 29 35 49 64 87 111 132 144 145 133 109 78 48 25 11 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 1 3 4 6 12 16 18 18 17 14 11 9 8 10 15 21 27 32 34 37 39 36 34 31 30 29 29 30 30 31 31 26 23 22 16 8 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1
226 180 137 96 74 66 69 72 68 65 55 55 83 126 122 116 143 176 200 237 286 295 232 187 133 84 83 94 89 75 63 52 43 36 30 26 28 35 45 59 79 99 115 123 117 89 64 40 22 14 10 7 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 2 3 4 8 13 17 18 19 18 16 12 8 7 8 12 17 22 27 29 32 34 33 30 29 26 23 20 20 20 20 21 21 20 17 12 8 6 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2
174 141 119 98 83 78 78 73 64 61 59 90 132 131 105 103 151 194 202 220 264 280 219 165 118 86 86 100 103 90 74 51 42 34 28 24 24 27 32 39 49 63 80 93 93 75 58 41 23 14 12 11 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 3 3 5 9 14 16 17 18 18 17 13 9 6 7 11 15 18 25 26 27 29 29 28 26 24 21 18 16 14 13 11 9 9 8 7 7 6 6 5 3 2 1 0 0 0 0 0 0 0 0 1 2 3 3 4 5
110 84 86 96 99 93 83 71 62 56 62 117 178 114 74 100 162 203 206 217 242 231 170 122 91 67 67 94 117 111 95 65 47 36 30 24 21 22 25 29 35 43 51 61 66 63 54 43 30 18 12 9 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 2 3 6 10 15 17 18 18 18 17 15 11 7 7 10 13 16 21 23 22 23 25 24 22 20 18 15 11 10 9 7 6 6 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 4 4 5 5 6 7
77 74 97 124 131 116 93 77 65 58 61 93 131 90 67 106 173 212 212 210 211 175 112 76 60 50 52 75 105 121 122 94 57 39 33 25 14 12 16 21 25 31 37 43 47 50 49 43 34 25 16 11 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 1 3 5 7 12 15 17 18 18 17 17 16 14 11 8 9 11 13 16 18 16 17 19 20 19 17 15 11 5 5 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 3 8 9 8 8 8 8 9
96 93 127 152 142 117 99 82 71 67 94 120 110 78 68 106 169 208 209 197 180 116 70 48 37 35 40 53 76 109 135 117 71 42 34 27 17 8 5 9 15 23 28 32 36 39 41 40 36 31 25 17 8 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 3 6 8 9 11 14 16 18 18 18 17 16 15 14 12 11 11 11 12 13 12 12 14 16 17 18 16 13 5 3 2 3 3 3 4 4 3 2 0 0 0 0 0 0 0 0 1 1 3 7 12 13 11 10 11 10 9
128 107 116 125 119 115 119 109 96 105 136 130 96 69 68 99 155 203 209 196 167 88 53 36 26 26 34 46 66 106 143 142 90 53 37 29 18 7 0 1 5 12 20 24 28 30 33 35 36 35 30 25 18 10 4 1 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 11 10 11 14 16 17 16 15 15 14 13 11 11 11 11 11 11 11 11 11 12 14 17 16 13 8 4 3 3 4 3 5 5 4 3 1 1 1 1 1 2 2 3 3 3 6 10 13 13 12 11 11 9 8
125 103 97 107 125 150 175 178 169 157 135 102 71 56 62 91 134 168 190 202 160 93 51 35 31 33 40 48 66 112 115 113 99 73 47 32 22 9 0 0 0 0 11 19 22 24 26 29 32 34 35 33 29 21 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 11 11 10 12 13 15 15 14 13 11 9 7 7 10 12 12 12 12 11 11 12 12 14 14 13 10 8 6 6 6 6 7 8 7 7 6 4 4 4 3 5 5 6 6 7 10 12 11 12 12 11 11 10 9
94 86 88 98 126 170 191 186 170 133 96 69 56 56 65 85 124 159 182 161 129 93 57 43 42 41 43 44 56 82 76 94 110 93 59 34 22 8 1 0 0 0 7 14 18 19 20 20 23 27 28 30 29 32 31 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 13 12 12 11 12 15 15 13 9 7 6 6 8 11 13 13 12 12 12 12 13 13 13 14 13 10 10 10 9 10 10 10 11 11 10 8 7 7 7 8 7 8 9 10 13 13 12 11 10 10 11 12 11
62 59 59 63 84 119 129 119 99 76 62 52 48 54 64 82 120 142 130 92 81 83 65 49 44 40 42 42 45 49 54 83 115 107 70 39 26 19 6 2 0 0 3 9 14 16 14 13 13 10 12 16 16 20 20 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 8 10 13 15 14 12 13 15 16 14 12 9 8 8 8 10 13 12 10 10 11 12 13 14 15 17 16 13 11 12 12 12 12 13 13 13 11 9 7 7 8 9 10 10 11 12 14 16 14 12 10 10 10 11 11
39 38 40 42 44 54 63 64 58 48 48 47 48 56 65 78 108 108 66 57 55 55 49 42 40 41 47 52 50 45 50 70 105 114 84 49 34 29 18 11 6 2 2 4 6 6 3 2 4 8 15 7 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 2 3 5 8 10 13 17 18 16 14 16 16 16 16 14 12 9 8 9 12 10 8 9 11 12 15 16 18 19 17 14 13 13 12 13 13 14 14 14 12 10 9 8 8 8 9 10 11 12 16 19 18 17 14 12 10 9 8
23 25 24 21 19 20 25 27 31 34 39 42 43 48 58 73 93 91 53 54 50 38 28 27 33 46 70 94 87 77 83 93 126 145 106 64 45 39 25 18 13 9 9 7 2 1 0 0 0 1 2 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 30 43 1 3 5 9 11 14 19 21 19 14 15 16 16 16 15 11 8 8 8 11 11 11 10 10 12 14 17 18 18 16 15 16 15 14 12 11 11 12 13 13 12 12 10 9 8 7 8 8 10 14 16 17 18 17 15 13 11 10
12 13 10 7 7 7 9 8 12 19 28 34 38 46 57 68 65 35 20 50 53 36 26 24 29 53 106 147 140 131 108 82 96 132 121 71 41 15 8 8 8 9 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 2 19 55 9 2 2 4 7 11 15 19 21 21 16 15 16 15 15 13 10 8 9 8 10 11 13 12 10 10 12 12 14 17 14 14 16 17 16 14 11 9 9 9 11 13 13 12 10 8 7 8 9 9 10 13 14 14 15 16 15 13 13
8 8 7 6 6 6 6 6 7 11 19 28 38 48 60 68 62 51 53 76 80 62 41 31 35 69 152 198 210 187 141 103 95 104 97 56 25 3 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 0 0 0 6 33 49 10 2 2 3 7 11 14 18 20 20 17 16 16 15 14 13 12 13 12 10 9 9 12 13 11 9 9 10 11 14 11 12 14 16 17 16 12 9 8 8 9 10 11 11 10 9 8 9 8 8 8 8 8 10 11 13 13 13 13
6 7 7 6 6 6 6 6 7 8 11 20 34 45 60 68 69 90 112 128 133 107 55 36 57 106 178 207 220 212 182 132 80 48 41 27 10 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 6 65 45 10 1 2 4 7 10 13 16 17 17 17 17 16 15 14 13 12 12 11 12 10 8 10 13 13 10 10 11 11 11 10 11 13 17 18 16 13 11 10 9 10 9 8 8 7 8 8 8 7 8 9 10 9 9 9 10 10 10 11
5 6 7 7 6 6 6 6 7 7 8 13 24 35 50 67 88 131 173 193 197 165 89 69 102 140 162 164 173 184 170 124 65 14 9 8 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 32 38 12 0 1 4 7 10 13 16 18 19 18 17 16 15 13 13 11 12 10 12 12 10 11 15 17 13 13 15 15 13 11 10 12 15 16 16 14 13 12 13 14 13 11 11 10 11 11 11 11 12 12 13 12 12 12 11 11 11 11
4 6 7 7 6 6 6 6 6 6 7 8 11 13 29 48 73 124 190 236 254 226 142 108 125 132 119 108 114 126 122 91 40 8 5 5 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 0 0 0 0 0 0 0 0 0 0 0 12 18 7 0 1 3 6 9 14 16 17 18 18 18 17 15 14 12 11 11 12 13 14 14 14 15 18 16 17 18 18 16 13 12 12 13 16 17 17 16 17 20 22 21 20 18 17 17 18 18 19 19 18 20 18 18 18 18 17 17 18
5 7 7 6 6 6 5 5 5 5 5 5 5 5 7 14 25 57 119 208 276 266 189 126 112 95 71 58 64 78 81 56 19 5 4 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 0 0 0 0 0 0 0 0 0 0 0 2 25 21 6 1 1 3 5 8 13 15 18 21 22 20 18 15 15 13 13 12 12 12 15 17 15 16 18 18 19 20 20 18 16 15 14 14 16 18 21 22 25 29 29 30 31 31 29 29 28 27 29 30 27 31 30 29 28 29 29 29 29
6 7 7 7 6 6 5 4 4 4 4 4 3 1 1 2 3 21 67 142 221 245 181 106 73 54 38 31 33 40 44 29 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 2 21 24 10 1 1 3 6 8 12 15 17 21 23 23 22 17 16 15 14 13 13 12 13 16 16 16 18 20 24 26 25 21 18 17 16 15 16 18 23 29 36 40 37 38 40 43 43 42 40 39 39 42 42 41 41 41 40 40 40 40 40
6 6 7 7 6 6 6 5 4 4 4 4 2 2 1 0 1 12 38 85 148 190 137 74 40 28 22 21 22 25 26 18 7 4 3 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 0 0 0 0 0 0 0 0 0 0 0 1 3 11 17 12 1 1 3 7 10 13 15 16 20 25 26 25 21 18 16 15 15 14 13 13 14 15 17 19 20 23 27 28 23 19 18 18 17 17 19 22 30 43 51 49 48 47 47 49 49 47 51 53 54 54 52 52 52 51 51 51 50 48
6 7 7 7 6 6 5 5 4 4 3 3 2 2 1 1 2 8 24 51 88 130 98 55 26 13 11 12 13 14 16 9 7 5 4 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 1 5 15 24 18 3 2 2 6 10 14 16 16 21 26 28 27 24 20 17 16 15 15 14 14 14 13 16 18 21 24 28 26 24 23 22 21 20 19 19 21 28 49 56 56 55 53 51 52 53 51 57 63 65 65 64 63 63 63 63 61 60 56
7 7 7 7 6 5 5 4 3 3 3 2 2 2 2 1 1 4 13 30 51 83 76 46 22 11 8 8 8 7 7 7 7 6 4 2 1 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 0 0 0 0 0 1 9 26 25 11 4 3 6 9 13 17 17 21 25 28 28 25 23 20 18 16 15 15 16 16 13 14 17 20 23 27 25 26 27 26 25 24 22 21 21 25 44 54 55 56 57 54 65 67 59 59 67 71 71 71 70 69 69 70 68 66 64
7 7 6 6 5 5 5 4 4 4 3 2 2 2 2 1 1 2 6 16 34 58 58 38 21 11 7 7 7 6 6 6 6 5 4 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 1 7 24 30 25 11 6 8 10 11 15 17 19 23 27 28 27 25 23 22 20 17 16 17 17 16 16 17 19 21 30 31 32 34 33 31 29 29 28 27 27 35 47 51 55 71 82 90 82 73 71 74 74 73 72 71 70 69 70 69 68 67
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6 5 5 5 5 5 4 4 4 3 2 2 2 2 2 2 1 1 2 4 8 16 23 16 6 3 4 4 4 4 4 3 2 1 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 0 1 10 40 61 45 17 6 6 7 12 17 17 17 20 25 27 28 28 27 25 25 23 21 18 17 20 21 17 22 30 37 42 45 47 46 46 47 48 49 43 36 33 38 56 74 82 84 83 81 79 79 77 76 74 71 68 66 64 63 63 62
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