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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 8 10 11 12 13 13 13 11 10 9 8 8 9 11 13 16 18 19 19 19 17 15 14 14 13 13 13 13 13 13 13 12 12 11 10 8 7 6 5 5 5 6 9 11 13 13 10 8 7 7 7 8 10 12 13 14 14 13 13 13 13 14 15 15 13 10 7 4 5 10 16 19 19 16 13 10 8 7 7 7 7 8 8 9 10 12 13 13 12 11 10 9 9 9 10 9 8 7 5 4 4 6 8 10 12 12 12 12 13 14 15 15 14 13 11 9 9 10 11 11 10 10 9 10 10 10 11 12 12 14 15 14 14 13 13 13 12 9 7 6 5 3 2 1 2 5 8 11 12 11 9 8 8 10 11 12 13 14 15 14 12 10 10 10 11 10 9 6 5 6 7 9 9 10 10 10 11 10 9 8 6 6 8 12 15 14 12 9 5 2 4 8 11 13 13 11 8 6 5 5 6 nan
nan 8 8 9 10 11 12 13 14 14 13 11 9 8 8 9 11 14 17 19 21 21 20 18 16 14 13 13 13 13 13 13 13 13 13 13 12 11 9 8 6 5 5 5 5 7 9 11 11 10 8 6 6 6 8 10 12 13 14 14 13 13 13 14 14 14 12 9 6 4 4 7 12 18 21 20 17 13 10 9 10 9 9 9 9 10 10 10 11 11 12 11 11 10 11 12 13 13 13 12 10 7 5 5 6 7 9 10 10 9 8 9 12 15 16 16 14 11 10 9 9 10 11 11 10 9 8 8 8 9 10 10 9 9 10 13 16 17 16 13 9 7 6 5 4 3 3 3 4 6 9 10 10 8 6 6 8 10 11 12 14 15 13 10 8 7 8 9 9 8 6 5 6 6 8 9 11 13 14 14 13 11 9 8 8 11 14 15 14 11 8 4 2 4 10 12 14 14 13 11 10 9 9 8 nan
nan 10 9 9 9 10 11 12 14 14 13 12 10 9 9 10 12 14 16 18 20 21 20 18 16 15 13 12 12 12 12 12 13 13 13 13 13 12 11 9 7 6 5 5 5 5 6 8 9 9 8 6 4 5 6 9 11 14 15 15 14 13 13 14 14 13 10 7 4 3 4 7 12 16 19 20 19 16 13 13 13 14 13 13 13 13 11 9 9 9 10 10 10 10 11 12 13 13 12 11 9 8 7 5 5 6 7 9 9 8 7 7 9 13 16 17 16 13 11 10 9 9 10 10 10 9 7 7 7 8 9 9 9 9 10 13 16 16 13 10 9 10 9 8 7 5 4 5 6 6 8 9 10 9 7 6 7 8 9 10 11 12 10 8 8 8 8 9 8 7 7 5 4 3 4 6 10 14 16 15 14 11 10 10 11 14 15 14 11 8 4 1 1 4 9 12 13 13 12 11 11 11 10 9 nan
nan 11 10 9 9 9 10 11 13 15 15 14 13 12 12 12 13 14 15 16 17 17 17 16 15 14 12 11 11 10 10 11 12 13 13 14 13 13 12 11 9 7 6 6 5 5 5 5 6 7 7 6 4 4 5 7 10 14 16 16 15 14 13 14 14 13 11 7 4 3 4 7 12 15 17 18 18 16 15 14 15 15 16 16 16 14 12 10 11 11 12 12 11 10 10 10 10 9 8 8 7 7 7 7 6 5 6 8 9 9 8 7 7 10 14 16 17 15 13 11 10 9 9 9 8 8 8 8 9 10 10 11 11 12 12 12 11 10 9 9 12 13 13 11 9 7 8 9 10 9 9 9 8 8 7 7 6 6 6 7 7 8 7 8 9 10 10 9 8 7 7 7 5 4 4 5 9 12 14 14 13 12 11 11 14 16 15 12 8 3 0 -1 1 4 9 11 12 11 10 10 10 10 10 10 nan
nan 11 10 9 8 7 8 10 12 15 17 17 16 15 14 14 14 14 14 14 13 13 13 12 12 11 10 10 9 9 9 10 11 12 13 14 14 14 13 12 10 9 7 7 6 6 5 5 6 6 6 6 5 5 5 7 10 13 16 16 16 14 14 14 14 13 12 9 7 5 5 7 11 14 15 15 15 14 13 14 14 14 14 14 14 13 12 11 13 15 15 15 14 12 10 8 6 6 5 5 6 6 7 7 6 6 6 7 8 10 10 9 8 9 11 15 16 15 13 11 10 10 9 9 8 9 9 10 11 11 12 12 12 12 11 10 9 9 11 13 15 14 12 10 9 11 14 14 14 12 10 8 7 5 5 6 6 5 5 5 5 6 7 8 10 10 10 9 8 8 9 9 10 9 8 8 9 11 12 13 13 12 12 13 16 16 14 9 5 1 -1 0 3 6 9 11 12 11 10 10 10 10 10 10 nan
nan 10 10 9 7 6 6 6 9 12 15 17 17 16 16 15 14 14 14 14 13 12 11 11 10 9 8 8 7 8 8 9 10 11 13 14 14 14 13 12 11 10 8 7 7 7 7 7 7 8 8 7 6 6 6 7 9 12 15 16 16 15 14 13 14 13 12 10 8 6 4 6 10 13 14 13 12 11 12 13 14 13 12 10 10 9 9 9 10 12 15 16 16 13 10 7 5 5 5 6 7 7 7 6 6 5 4 4 5 7 10 11 11 11 11 13 14 13 12 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 11 14 15 15 13 11 9 11 15 17 17 15 13 11 8 6 4 4 5 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 9 8 9 10 13 15 16 15 14 14 15 14 12 8 3 -1 -2 1 4 7 9 11 12 12 12 12 11 11 11 11 nan
nan 10 10 9 7 5 3 3 5 7 10 13 15 15 15 15 15 15 15 14 14 13 12 11 10 9 7 6 6 6 7 8 9 11 12 13 14 15 14 13 11 10 8 7 7 7 7 8 9 10 10 8 7 6 6 7 9 11 14 15 16 16 15 14 13 12 11 10 8 6 5 6 8 11 12 11 10 9 10 13 15 15 13 10 8 8 8 7 7 8 11 14 15 14 11 8 7 7 8 10 11 10 7 6 5 3 1 -0 1 4 8 11 13 13 12 12 13 12 10 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 13 14 12 11 10 11 13 15 17 15 13 12 10 9 6 5 5 7 9 9 7 5 5 6 8 8 9 9 9 10 10 10 10 8 7 5 4 4 8 12 17 20 20 18 14 11 11 10 8 6 1 -2 -4 -1 2 5 8 10 12 13 13 13 12 11 11 12 nan
nan 10 9 9 7 5 3 2 2 3 6 8 11 12 13 13 14 14 14 15 15 14 14 12 11 9 8 7 6 5 6 7 9 10 12 13 14 15 15 14 12 10 9 7 6 6 7 8 9 10 10 8 6 6 6 7 9 11 13 14 14 15 15 14 12 11 10 8 8 7 6 7 8 9 10 9 9 8 9 11 13 13 14 13 11 10 10 9 8 8 8 10 12 12 10 9 9 11 14 16 16 12 8 4 2 0 -2 -1 1 4 7 9 11 11 11 11 11 10 9 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 11 13 15 15 14 12 11 10 9 7 7 9 11 13 11 8 5 5 8 10 11 10 9 9 9 9 9 9 7 5 4 2 3 8 13 19 21 20 15 9 6 6 6 6 5 2 -2 -3 -0 3 7 10 12 13 13 12 12 12 12 13 14 nan
nan 9 9 8 8 6 5 3 2 2 2 4 6 8 10 11 12 12 12 13 14 14 14 13 11 10 8 7 6 6 7 8 9 10 11 12 14 15 15 15 13 11 10 8 7 6 7 8 9 10 9 8 6 6 6 7 9 10 11 12 13 13 14 14 13 12 11 10 8 8 7 7 7 8 8 8 7 7 7 8 8 9 10 11 12 12 13 13 12 11 10 9 9 10 10 11 12 15 19 21 19 13 7 3 0 -0 0 3 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 12 14 15 15 13 11 10 9 9 10 12 14 13 10 6 3 5 10 13 14 14 12 9 8 9 9 9 9 9 9 8 7 9 10 12 13 11 7 2 1 2 4 5 6 4 2 3 5 9 12 14 14 13 12 12 12 12 13 14 15 nan
nan 9 9 8 8 7 7 6 5 4 3 3 4 5 6 8 9 9 10 10 11 12 12 12 11 10 9 8 7 7 8 9 9 10 11 12 13 15 16 15 14 12 10 9 8 7 6 7 8 9 9 8 7 6 7 7 8 10 11 11 12 13 14 15 16 16 15 13 11 10 9 8 7 7 6 6 6 5 5 5 5 5 6 7 8 10 12 13 14 15 14 13 12 12 13 14 16 18 19 20 17 10 5 2 2 5 9 13 16 15 13 11 9 8 8 8 8 8 9 9 9 9 10 10 11 13 13 13 11 10 9 10 10 11 11 11 11 10 10 10 10 9 8 7 9 12 16 18 17 14 12 11 12 13 13 12 11 7 4 4 7 12 16 18 17 14 10 7 7 8 10 12 14 15 15 13 10 8 6 4 3 0 -1 -0 2 5 6 8 9 10 11 12 14 15 14 13 12 11 11 12 12 12 13 14 nan
nan 11 10 9 9 8 9 9 8 7 5 4 3 3 4 5 6 6 7 7 8 10 11 11 11 10 9 8 8 8 8 9 10 10 10 11 12 14 15 15 14 13 11 9 8 7 6 7 8 9 10 9 8 7 7 7 8 9 10 11 12 13 15 16 19 19 18 16 13 12 10 9 8 6 5 4 4 4 4 4 4 4 4 4 5 6 9 12 14 15 15 14 14 14 16 17 18 17 16 14 11 7 4 4 7 13 19 21 21 19 16 12 10 8 8 9 10 11 11 11 10 10 10 11 12 13 14 13 12 10 9 8 9 9 10 10 10 10 11 12 12 11 9 6 6 9 13 17 19 19 15 12 11 11 10 9 8 6 5 7 10 13 17 19 19 16 10 6 4 5 8 12 16 19 19 17 13 9 6 3 2 1 1 2 4 7 8 11 13 16 17 17 17 16 14 13 13 12 13 12 12 12 12 12 nan
nan 12 11 10 9 9 9 9 9 8 7 6 5 4 4 4 4 4 5 5 7 8 9 11 11 11 11 10 9 9 9 9 9 9 10 10 11 13 14 15 14 14 12 10 8 7 7 8 9 10 11 10 9 8 7 7 7 8 9 11 12 12 13 15 16 17 16 15 13 11 10 9 9 7 6 6 5 6 7 7 7 6 6 5 5 5 7 9 11 12 12 11 11 13 15 17 18 17 14 10 7 6 5 7 10 15 19 20 18 16 14 12 10 9 10 11 12 12 11 11 9 9 9 10 11 12 12 12 11 9 8 7 7 7 8 8 8 9 11 12 12 11 8 6 5 7 9 13 15 17 15 10 8 8 9 9 8 7 6 9 11 13 16 18 18 15 11 7 4 5 6 8 13 16 17 17 14 11 9 8 6 5 6 6 8 9 11 13 15 18 19 20 19 18 17 15 15 14 14 13 12 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
84 70 56 45 37 34 32 35 41 44 47 37 25 17 12 9 8 7 6 8 28 70 39 23 34 61 89 97 77 55 43 37 31 24 19 17 26 49 75 96 107 112 110 91 60 33 31 38 37 28 24 25 19 14 14 27 58 83 70 127 170 183 195 205 200 184 170 166 195 230 266 298 311 293 272 248 241 256 283 304 302 278 261 256 259 277 307 341 376 390 374 348 321 289 254 231 239 255 256 224 226 238 219 175 171 206 234 243 236 218 193 170 153 91 43 15 6 4 3 6 4 1 0 0 0 0 0 0 0 9 94 110 83 52 32 16 8 14 32 68 136 246 388 531 612 550 380 213 97 34 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
83 72 63 47 37 30 28 32 38 43 46 41 31 22 15 11 9 8 7 13 39 56 27 20 55 75 98 127 131 82 31 23 23 24 22 22 26 32 41 58 81 100 108 96 64 45 38 40 43 45 49 51 42 33 45 62 94 100 95 171 230 235 224 204 178 158 146 138 155 185 232 278 296 284 270 252 275 289 296 303 297 279 271 274 291 318 361 403 428 426 394 357 326 295 270 262 267 267 254 218 234 234 209 181 182 209 233 233 218 192 163 141 110 36 27 9 2 1 1 2 1 0 0 0 0 0 0 0 1 7 46 77 66 42 26 18 20 34 62 96 156 255 375 482 527 460 307 174 92 41 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
76 71 65 49 39 30 28 31 36 41 43 45 36 27 18 13 11 9 7 11 29 46 52 73 115 125 128 127 103 60 22 21 21 15 20 24 26 29 36 47 63 78 87 89 72 53 42 37 33 36 43 49 48 47 67 90 106 95 99 142 191 218 214 183 141 115 119 126 130 152 197 246 259 258 256 261 294 322 311 289 285 306 328 326 328 354 392 421 431 420 399 378 355 326 301 293 293 277 239 217 241 215 195 187 192 210 232 242 228 196 161 145 103 36 26 8 2 1 0 0 0 0 0 0 0 0 0 0 1 9 37 65 59 43 33 33 43 64 90 114 159 242 344 429 445 370 245 139 80 42 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 72 62 50 41 31 26 27 31 38 42 44 45 45 34 25 16 10 7 9 17 37 62 94 116 131 147 147 98 43 18 17 19 10 20 20 29 37 46 56 67 75 70 60 49 40 34 27 17 17 24 30 38 48 65 85 92 88 86 99 134 166 176 164 142 133 133 131 133 153 189 233 238 229 235 263 304 325 324 293 281 324 368 384 401 421 427 432 429 416 413 411 391 354 326 315 311 282 247 244 260 206 184 176 185 206 231 246 233 188 139 119 89 53 32 8 1 1 0 0 0 0 0 0 0 0 0 0 3 18 45 67 64 54 50 55 68 86 104 122 155 230 324 391 379 297 192 108 63 39 23 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
91 76 69 54 42 32 25 21 20 30 40 43 42 37 35 36 25 15 8 8 14 28 53 79 97 111 120 109 58 17 17 26 25 20 20 22 38 53 63 71 84 94 87 65 51 44 40 36 31 27 26 29 44 60 72 77 77 76 76 86 108 126 134 135 140 159 163 153 153 171 204 242 264 230 221 238 271 305 315 297 283 324 372 435 482 493 470 445 436 431 436 437 421 388 362 344 322 276 262 283 291 238 183 159 164 188 214 223 199 151 124 94 72 57 32 7 1 1 0 0 0 0 0 0 0 0 0 1 8 35 65 79 77 69 69 74 81 89 100 118 156 231 327 372 328 239 148 80 49 32 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 83 78 52 43 34 26 18 12 16 34 41 42 41 41 40 39 29 21 18 19 25 34 46 69 88 92 72 40 25 35 42 31 18 18 27 41 64 80 87 103 113 105 80 67 57 53 51 49 47 44 46 59 71 75 73 69 68 69 71 89 100 109 114 128 157 176 174 178 190 213 240 255 240 233 230 238 261 285 294 304 351 397 476 531 532 493 448 439 466 474 469 458 444 430 410 354 281 295 330 320 255 181 142 142 166 189 191 172 154 149 110 70 54 26 6 1 0 0 0 0 0 0 0 0 0 1 5 19 61 89 96 93 87 84 83 83 84 92 116 167 248 341 356 281 189 111 61 37 24 15 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
105 96 79 53 42 33 26 19 11 9 20 34 42 40 46 53 54 47 44 41 37 34 30 29 41 51 49 34 29 36 49 57 48 17 21 30 42 57 67 78 98 100 87 73 65 60 59 59 61 61 59 62 69 72 69 66 64 64 64 58 65 77 94 98 107 129 152 165 180 194 209 221 226 225 233 233 248 266 282 300 328 374 424 504 552 550 499 457 467 521 537 517 502 486 460 427 385 335 359 367 319 246 179 137 127 142 171 186 185 179 163 119 73 47 23 7 1 0 0 0 0 0 0 0 1 5 13 26 46 91 107 107 103 100 94 83 75 77 93 130 193 273 337 328 232 147 84 45 25 13 6 2 1 0 0 0 2 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
112 104 87 63 47 36 27 19 12 7 11 23 37 38 40 52 56 56 54 52 53 51 47 44 38 31 30 30 37 50 60 62 55 37 37 31 37 42 44 52 72 74 62 56 56 56 56 57 57 59 61 65 71 72 69 66 66 66 63 58 59 69 80 83 87 99 119 135 153 175 189 189 204 217 224 237 265 319 339 343 362 405 462 523 571 583 517 491 506 543 564 548 521 486 441 417 415 410 408 367 287 216 163 134 125 132 165 204 219 208 175 128 79 42 32 12 3 0 0 0 0 0 0 0 5 20 45 69 87 111 114 108 104 100 90 74 63 71 100 152 228 295 317 273 183 117 64 34 17 7 2 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 110 103 79 58 41 28 18 11 5 6 13 24 32 34 42 40 41 46 53 61 66 66 66 59 50 46 50 63 70 74 75 70 57 46 35 39 37 36 41 50 54 54 53 53 53 52 54 57 61 63 69 74 76 75 75 78 82 76 66 71 80 81 77 83 87 94 106 123 145 167 181 195 211 224 245 293 356 397 404 415 443 481 529 587 625 543 534 533 539 548 535 501 457 416 404 417 423 395 321 233 180 154 142 137 144 170 206 216 202 174 126 73 40 39 19 6 1 0 0 0 0 0 0 6 31 70 100 113 120 115 110 103 94 83 73 72 89 123 184 265 312 296 228 152 99 53 29 17 9 4 2 1 2 3 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
125 124 111 78 58 39 28 20 14 8 4 6 11 24 34 36 33 36 43 50 60 68 73 76 82 80 75 67 64 67 68 70 70 64 58 53 50 45 44 44 45 48 52 53 53 54 56 58 61 63 68 84 95 100 101 100 101 107 103 96 99 100 91 77 74 75 81 93 114 137 158 177 191 198 211 232 273 343 422 459 460 466 481 529 596 637 598 546 513 506 504 486 452 414 379 368 376 368 326 256 191 171 163 154 149 153 168 186 194 187 173 116 59 31 28 16 4 1 0 0 0 0 0 0 3 25 84 115 121 121 118 114 101 91 88 92 104 125 155 198 255 291 268 205 141 93 54 26 14 9 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
130 128 115 88 55 35 28 21 15 10 4 3 5 8 17 25 30 31 38 45 53 60 66 76 90 92 89 82 77 74 70 68 69 67 67 66 63 59 54 52 50 52 55 56 56 57 59 61 62 66 80 105 127 139 140 136 134 134 132 130 127 127 113 99 96 95 94 102 120 143 156 165 178 179 186 204 232 312 416 482 485 468 474 521 585 634 631 554 486 456 443 423 393 362 333 308 299 280 247 210 183 176 172 149 144 153 163 164 153 143 152 95 39 17 10 3 1 0 0 0 0 0 0 0 2 21 110 134 131 125 120 115 109 101 107 121 135 147 160 175 199 231 225 188 142 99 61 33 15 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
122 121 106 83 56 35 29 21 12 6 3 1 1 2 6 12 20 27 35 40 44 50 59 73 85 88 83 81 82 82 78 72 67 68 71 69 65 60 57 56 55 58 62 64 65 66 67 68 72 78 96 125 151 167 170 171 170 166 161 155 152 152 133 122 119 123 127 132 143 153 156 157 160 161 171 190 198 256 358 445 479 466 446 468 539 611 626 564 466 401 369 344 324 303 279 252 234 218 208 204 196 181 156 124 124 147 162 157 140 127 125 77 26 11 4 1 0 0 0 0 0 0 0 0 5 34 145 167 148 129 118 116 120 122 131 144 150 149 144 143 153 175 182 166 135 99 64 36 15 5 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
122 119 104 83 58 39 28 18 6 2 1 1 1 1 3 5 9 14 22 31 36 41 54 68 78 81 78 81 85 87 86 82 79 81 84 79 72 67 63 61 61 62 67 74 78 81 84 86 88 88 107 134 160 178 188 195 201 200 195 190 185 176 152 137 139 158 178 192 198 199 200 202 198 201 212 221 215 227 295 387 451 476 486 485 494 582 618 566 469 380 304 261 251 250 241 224 214 216 221 226 207 171 131 103 110 142 158 152 134 114 92 55 21 10 3 0 0 0 0 1 6 7 2 3 16 63 158 201 166 132 113 112 125 140 150 154 154 148 139 135 142 152 160 149 126 96 66 41 25 20 21 22 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
109 110 101 85 64 43 29 17 8 2 0 1 1 1 2 3 4 5 18 25 30 39 55 69 74 76 77 79 83 90 97 98 99 104 107 102 92 83 75 71 68 69 72 79 86 91 96 101 106 112 117 129 150 170 187 205 219 227 226 218 208 196 176 149 139 157 197 236 260 266 263 264 259 266 266 257 247 225 268 352 402 403 386 381 405 521 585 559 477 375 282 219 197 208 223 231 234 236 243 261 207 145 100 83 92 116 136 137 126 95 65 39 22 12 3 1 0 0 2 9 28 37 19 18 41 88 153 201 180 134 113 116 130 143 150 153 157 161 157 155 159 168 173 162 141 116 94 76 62 53 47 35 16 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
113 112 101 87 71 49 33 19 8 1 0 1 1 1 1 1 2 3 11 16 23 35 49 61 68 72 76 79 84 94 107 111 114 116 117 115 109 106 98 91 83 80 84 89 94 100 107 116 126 131 130 135 153 174 194 213 232 250 266 262 242 216 191 169 157 161 185 219 253 285 314 326 309 307 292 270 249 244 279 315 307 273 251 255 303 414 537 547 490 399 305 230 186 183 214 240 249 251 262 271 195 113 74 60 59 73 102 132 135 101 63 36 22 15 8 2 0 2 16 40 69 88 79 72 76 92 136 179 175 134 116 121 132 141 146 152 162 173 178 180 189 199 201 187 168 142 121 101 83 64 44 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
106 115 110 97 81 60 38 20 6 1 0 0 0 1 1 1 1 1 2 6 18 34 48 61 71 76 79 84 86 94 106 111 113 112 111 110 111 118 125 127 111 102 103 108 113 117 123 130 139 146 150 160 181 204 221 233 249 274 304 326 306 263 217 181 156 142 147 162 182 216 275 329 340 353 329 285 253 256 287 295 239 176 164 182 239 351 495 543 506 435 330 249 207 197 212 231 245 263 273 246 162 77 49 52 48 62 105 154 162 119 67 38 30 27 18 4 0 17 64 116 147 154 152 134 101 96 124 155 160 138 121 123 131 138 143 152 167 179 194 203 217 223 214 195 171 139 110 85 59 34 16 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
103 112 113 106 92 70 44 21 9 2 0 0 0 0 0 0 1 1 1 5 16 32 47 62 74 80 82 86 88 93 100 106 108 107 108 109 110 120 140 153 143 129 125 132 133 133 138 146 148 149 148 157 180 207 227 247 271 299 332 361 358 315 266 218 178 146 131 127 132 154 201 269 328 364 373 348 334 319 304 280 231 167 149 178 243 340 425 443 427 400 322 267 246 241 237 234 236 250 249 189 105 46 28 36 44 66 111 158 171 130 67 46 50 43 25 9 15 67 152 210 221 198 164 135 89 100 123 147 155 144 131 128 133 138 144 158 175 190 206 224 235 229 210 186 157 122 84 51 24 8 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
102 108 112 110 96 74 48 26 11 1 0 0 0 0 0 0 0 1 1 3 9 22 42 60 72 78 80 85 89 91 99 107 111 112 113 118 123 128 139 152 157 151 134 128 131 136 143 150 150 140 134 134 142 160 187 223 266 309 343 365 360 335 303 261 221 189 166 151 142 142 165 222 283 341 388 409 414 371 305 254 218 192 183 208 263 331 361 349 328 325 321 290 279 281 276 256 235 230 210 123 55 26 21 28 30 47 81 116 130 108 70 64 68 47 26 31 77 159 231 249 229 190 150 114 84 101 142 164 166 154 141 135 137 146 157 173 188 202 221 250 247 229 205 179 146 105 61 24 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 0 0 0
105 107 110 110 100 77 50 29 13 4 0 0 0 0 0 0 0 0 1 1 2 12 30 48 62 69 73 83 90 91 96 105 112 113 114 119 128 138 142 144 150 155 147 135 125 130 135 135 130 126 126 123 121 128 144 172 212 260 302 328 331 323 304 272 247 223 204 189 174 167 172 197 236 286 327 347 330 294 250 218 204 204 211 225 259 316 333 305 270 263 287 265 255 267 273 266 246 217 173 75 32 17 15 13 11 17 34 57 83 95 90 90 78 47 34 78 159 227 246 230 194 148 112 84 82 127 185 199 188 165 145 137 143 161 182 200 212 226 245 262 250 229 207 173 129 80 36 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 116 111 109 100 82 56 34 17 5 0 0 0 0 0 0 0 0 0 1 2 8 19 32 46 56 57 66 78 85 90 98 106 105 105 108 115 124 130 125 130 134 138 131 116 115 118 114 103 96 98 106 103 101 107 121 143 173 212 257 293 305 293 265 242 219 198 180 165 158 166 187 203 203 212 236 251 240 210 177 170 183 203 224 249 285 293 259 215 189 197 198 200 214 222 225 212 180 132 56 21 10 6 3 3 4 7 14 39 81 110 109 83 57 48 103 181 224 213 173 134 96 79 79 107 158 207 218 199 166 149 154 176 203 223 237 249 258 264 263 251 228 196 150 97 50 17 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
126 126 114 109 101 84 61 36 19 8 1 0 0 0 0 0 0 0 0 1 1 1 1 11 26 39 45 48 63 74 81 90 102 107 98 94 98 104 103 96 107 100 100 98 99 100 97 93 86 77 75 81 85 83 86 92 100 114 139 182 241 280 289 273 247 222 192 160 135 122 118 121 128 124 130 171 189 179 156 132 120 133 166 214 245 252 237 209 198 179 172 174 173 171 170 170 156 142 110 58 21 9 5 5 8 11 13 13 27 77 108 106 85 65 53 86 149 180 162 120 87 70 71 94 133 175 203 207 195 171 173 203 242 271 280 277 288 295 288 273 250 217 169 114 62 27 8 2 1 1 4 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
104 115 118 110 101 85 64 41 23 12 3 0 0 0 0 0 0 0 1 1 1 1 1 3 9 18 27 36 45 55 62 73 88 95 87 80 83 93 95 90 88 83 85 86 88 87 84 80 81 73 69 73 79 81 81 83 87 92 104 128 172 225 262 269 256 227 187 146 114 98 92 87 82 76 76 100 109 109 106 100 94 98 125 166 208 232 227 205 204 200 206 202 187 170 165 169 159 141 111 71 38 22 18 24 33 38 38 38 46 75 97 90 71 52 42 49 82 112 118 100 81 75 89 128 168 197 210 212 210 207 230 277 319 340 335 316 312 325 307 271 227 175 119 71 37 18 10 9 9 8 6 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
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