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 6 7 8 7 6 5 5 6 9 12 14 14 13 11 9 7 7 7 8 10 13 15 16 17 17 17 16 15 13 12 11 11 10 10 10 9 8 7 6 6 5 5 6 9 14 17 19 17 12 9 8 8 7 8 10 12 14 14 14 13 13 13 14 15 16 16 13 10 8 6 6 10 14 16 15 13 11 9 8 7 7 7 8 9 8 8 8 9 9 9 9 8 7 6 5 4 4 3 2 2 1 2 5 7 10 13 15 17 18 18 18 17 15 13 10 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 14 17 16 14 11 10 9 8 7 6 6 6 5 4 3 4 7 11 13 13 12 11 10 11 14 14 13 12 12 11 10 9 9 9 9 10 10 9 9 7 5 4 5 6 7 8 7 6 6 6 7 8 8 8 8 11 14 15 15 12 9 8 9 9 8 5 2 -1 -1 2 7 12 nan
nan 7 7 8 7 6 6 6 7 10 13 15 15 14 12 10 7 7 7 9 12 14 16 17 17 17 18 17 16 15 13 12 11 11 10 10 9 8 7 6 6 5 5 6 8 12 16 17 16 12 9 8 7 7 8 10 13 15 15 14 13 13 13 13 14 15 15 13 9 7 6 7 10 12 12 10 8 7 6 6 6 6 6 6 7 8 8 10 11 11 11 11 10 10 9 8 8 7 7 5 4 2 2 4 6 8 11 13 15 15 15 15 16 17 16 13 10 8 8 9 9 9 9 9 8 8 9 11 12 12 12 12 15 16 14 11 10 10 11 10 9 7 6 6 4 3 2 1 3 7 10 11 9 7 7 9 12 13 13 13 13 12 10 8 7 8 8 9 8 7 6 4 4 4 5 7 9 10 10 9 9 8 8 8 8 9 11 13 14 14 13 10 8 9 10 9 8 6 3 1 1 4 9 13 nan
nan 7 7 7 7 7 7 7 8 10 13 14 14 13 11 9 7 7 8 10 13 17 18 18 18 17 17 17 17 16 15 14 13 12 11 10 10 9 7 6 6 5 5 6 7 10 13 14 14 12 9 7 7 8 8 10 13 15 16 14 13 13 13 14 14 13 11 8 6 4 5 7 11 12 10 7 4 4 5 7 8 8 7 8 9 10 10 10 10 10 10 10 10 11 12 12 12 11 11 9 7 5 4 3 4 6 8 10 12 12 11 11 14 16 17 16 13 9 8 9 9 9 10 9 8 7 7 8 9 10 10 10 12 14 13 13 14 14 14 12 9 7 6 6 5 4 2 1 1 3 6 8 9 7 6 7 10 12 13 13 14 14 12 9 8 9 10 10 10 8 6 4 3 3 5 7 11 13 14 13 11 10 10 10 10 11 13 15 15 14 11 9 8 8 9 9 8 8 6 4 4 7 12 14 nan
nan 7 7 8 8 9 9 9 9 9 11 12 13 12 10 8 8 7 9 12 15 19 21 20 19 17 15 15 15 15 15 14 13 13 12 11 10 9 8 7 6 5 5 6 6 8 10 13 13 12 9 8 7 8 8 10 12 15 16 15 14 13 14 14 14 13 9 6 4 3 4 8 12 13 10 7 5 5 7 10 12 13 13 13 14 14 12 10 8 8 8 8 9 10 11 13 13 12 11 11 10 8 6 4 3 3 4 7 9 9 8 8 10 14 16 17 15 12 10 9 8 8 9 9 9 9 8 7 8 9 9 10 12 14 16 17 17 15 12 9 8 8 8 8 7 5 3 1 1 3 5 7 8 8 7 8 9 11 12 13 13 13 12 11 11 11 11 11 11 10 9 6 4 3 4 7 11 15 16 15 13 12 12 11 11 12 14 15 14 12 9 6 6 7 8 8 8 7 6 5 6 10 13 14 nan
nan 7 7 8 9 10 10 10 9 9 11 13 14 14 12 11 10 10 11 13 17 20 22 21 19 17 14 13 12 12 13 13 13 13 12 12 11 10 9 8 7 6 6 6 6 8 11 13 14 12 9 7 7 8 8 9 11 15 17 17 15 14 14 14 14 12 9 7 5 4 5 9 14 15 14 11 10 9 11 14 16 17 17 18 18 17 14 11 10 10 10 9 9 9 10 10 9 9 8 8 9 9 8 7 5 4 4 6 8 9 8 7 7 10 14 16 16 15 12 10 9 8 8 8 8 8 9 9 10 11 11 12 13 15 16 15 13 10 8 8 9 10 10 10 8 5 4 4 4 5 6 6 6 6 8 9 10 11 11 11 11 11 12 13 13 12 11 10 11 12 11 9 6 4 4 6 10 14 15 15 14 13 12 12 13 14 15 15 12 8 5 3 4 6 8 9 8 7 6 6 9 11 12 13 nan
nan 6 7 8 9 10 11 10 9 9 11 14 17 18 17 15 13 12 13 14 17 19 21 20 18 16 13 11 10 10 10 11 12 13 13 12 11 10 9 8 7 7 6 6 7 9 12 14 15 12 9 7 7 7 8 9 11 15 18 18 16 14 13 13 13 12 10 9 7 7 7 10 14 17 17 16 15 14 14 15 15 15 15 15 17 17 15 13 13 15 15 13 12 10 8 7 6 5 5 6 8 9 10 10 10 8 7 7 8 10 10 9 8 8 11 14 15 14 13 11 10 9 9 8 7 8 9 10 11 12 13 13 13 13 12 10 8 8 9 11 12 12 10 9 8 7 7 8 9 8 7 6 4 4 5 8 9 9 9 8 8 8 10 12 13 13 12 12 13 14 12 10 8 6 6 7 9 11 13 14 14 13 13 14 16 18 16 13 10 5 3 3 5 7 9 9 9 9 9 11 11 11 12 13 nan
nan 6 7 8 9 10 10 9 8 7 9 12 16 19 20 18 15 14 14 15 16 18 18 17 15 13 11 10 9 8 8 9 10 12 12 12 12 11 10 9 8 7 6 6 7 9 11 14 15 14 10 7 6 7 7 8 10 13 16 17 16 14 13 12 12 12 12 11 9 8 7 10 13 16 17 17 16 14 14 14 13 10 9 9 11 12 12 12 12 15 16 16 14 11 9 7 5 4 4 6 8 10 11 12 12 11 8 7 7 9 11 11 11 11 11 12 13 12 11 10 10 11 11 9 8 7 8 10 11 13 13 13 13 12 10 9 9 11 13 14 13 12 11 10 10 10 11 11 10 9 7 6 4 3 5 6 7 7 7 5 5 5 6 8 9 10 11 12 13 14 12 10 8 6 6 6 8 11 14 16 17 16 15 17 20 20 16 11 5 2 2 3 5 7 8 9 10 11 13 14 13 13 13 13 nan
nan 7 7 8 10 10 10 9 6 4 5 8 12 16 18 18 17 16 16 16 17 17 16 15 13 11 9 8 7 7 7 8 8 10 11 12 12 12 10 9 8 7 6 5 6 8 10 13 14 14 10 8 7 7 7 8 10 12 14 15 15 14 13 13 12 12 12 10 9 7 7 9 11 13 14 14 13 12 13 13 12 10 7 6 6 7 8 8 8 10 13 14 13 11 9 7 6 6 7 10 12 12 11 10 9 8 4 4 5 8 9 11 12 13 12 12 11 10 9 8 8 9 10 9 8 8 9 10 11 13 13 12 11 11 10 10 12 15 16 14 13 11 12 13 14 15 15 12 9 8 7 6 5 6 8 9 10 8 6 4 4 4 5 6 7 7 9 9 10 11 10 7 5 3 2 4 8 13 18 21 21 19 16 16 18 16 12 6 1 -1 1 4 5 6 6 8 10 12 14 14 14 14 14 14 nan
nan 7 8 9 10 11 10 8 5 2 1 3 6 10 14 16 16 17 17 17 17 17 15 14 11 9 8 6 6 6 6 7 8 9 10 12 12 12 11 10 9 7 6 5 5 7 10 12 14 13 10 7 6 7 8 9 11 13 14 14 15 15 15 14 13 11 10 9 7 6 6 8 11 12 12 11 10 10 11 13 13 12 10 8 7 8 7 7 7 7 8 9 9 9 8 7 8 10 13 16 17 14 10 7 4 2 -1 0 4 7 8 9 11 11 11 10 9 8 7 6 5 6 8 8 9 9 10 11 12 12 12 11 11 11 11 12 13 15 15 13 10 10 11 14 17 18 18 15 12 9 8 8 7 10 13 15 14 11 7 4 4 6 6 6 7 7 7 7 7 8 7 5 4 2 1 4 9 14 20 23 21 18 12 10 10 9 7 3 1 1 4 7 8 8 8 9 10 12 12 13 13 13 13 14 nan
nan 8 8 9 10 11 11 9 6 3 0 -0 2 5 9 12 14 16 17 17 18 18 17 14 12 9 8 6 5 5 6 7 7 8 10 11 12 13 12 11 10 8 7 6 6 7 9 11 13 12 10 7 6 6 7 9 12 14 15 15 15 15 16 15 13 11 9 8 7 6 6 8 10 11 11 11 10 9 9 10 11 11 11 11 10 11 10 8 7 7 7 6 5 5 6 7 10 14 18 22 20 14 8 3 1 -1 -1 2 5 7 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 11 12 12 13 12 11 11 12 13 13 13 14 13 12 11 10 9 10 11 14 16 16 16 14 12 12 11 11 14 16 17 15 10 6 4 6 8 9 9 10 9 8 6 6 7 6 6 6 6 6 6 9 12 14 17 16 12 6 2 2 3 3 2 2 5 8 11 13 13 13 12 11 11 11 11 11 11 12 12 nan
nan 8 9 10 11 12 12 11 8 5 1 -0 0 2 5 8 11 13 14 15 16 17 17 15 13 10 9 7 6 6 7 7 8 9 9 11 12 13 13 12 11 10 8 7 6 7 8 10 12 12 10 8 7 6 6 7 9 12 14 15 15 16 16 16 15 13 11 11 10 10 9 9 10 10 10 10 10 8 7 6 7 7 8 8 9 9 9 9 9 10 10 9 7 7 8 10 12 16 19 20 17 11 6 3 2 4 7 9 10 10 10 10 9 8 7 8 8 8 8 8 9 10 10 11 12 12 13 13 12 11 10 11 12 13 14 13 13 12 12 13 12 11 9 8 9 11 12 14 15 15 15 14 14 15 15 13 10 5 2 4 7 11 13 13 13 12 8 6 5 7 8 9 10 11 11 10 9 9 9 10 9 6 2 -1 0 1 2 2 4 7 11 13 15 16 15 14 12 11 11 10 10 9 9 9 nan
nan 9 9 10 11 11 12 11 9 7 4 2 1 1 3 5 7 8 10 11 12 14 15 15 14 12 10 8 7 7 7 8 8 9 9 10 11 13 14 13 13 12 10 8 7 7 8 10 12 13 11 9 7 6 6 6 7 9 12 13 15 16 17 18 19 17 16 15 14 14 14 12 11 10 9 9 9 8 7 6 6 6 6 5 5 6 7 9 11 12 13 13 12 12 13 14 15 15 15 14 11 7 5 6 8 14 19 19 16 12 10 9 8 8 9 10 11 11 11 10 10 10 11 12 13 13 13 13 11 10 9 9 10 11 12 12 11 12 14 15 15 12 9 6 6 8 9 11 13 15 15 13 12 11 10 7 3 -1 -2 3 8 13 17 18 16 13 8 4 4 5 8 11 13 14 14 13 11 9 8 7 6 3 1 1 2 3 3 3 5 8 12 14 16 16 15 13 12 12 11 11 9 8 7 7 nan
nan 9 10 11 12 11 11 10 10 8 6 4 2 2 2 3 4 5 6 7 8 10 12 13 13 12 11 10 8 8 7 7 8 8 9 9 10 12 13 14 13 13 11 9 8 8 9 11 13 14 13 10 8 7 6 6 7 8 10 12 14 15 17 18 19 19 18 16 15 15 14 13 12 10 10 9 10 10 10 11 10 10 9 8 6 6 7 10 12 13 14 14 15 16 17 17 16 15 13 9 6 5 6 9 13 19 23 22 18 14 10 8 8 9 11 13 14 13 11 10 8 8 9 11 12 12 12 11 10 9 8 7 8 9 9 9 9 11 13 15 16 13 9 7 8 9 9 10 11 12 11 8 6 6 8 7 4 0 -1 3 10 16 21 22 20 14 8 3 2 4 6 9 13 16 17 16 13 11 9 8 7 5 3 3 3 4 5 6 7 10 12 14 15 15 14 13 13 14 13 12 10 7 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
41 51 48 42 35 29 23 19 16 15 14 16 17 18 19 18 15 12 12 14 21 34 29 32 42 47 47 53 73 70 23 10 7 6 8 8 8 7 6 7 11 21 33 35 36 43 47 48 52 56 53 53 52 49 46 43 47 58 56 44 37 35 41 56 81 112 149 185 188 160 123 118 159 203 236 271 301 326 348 367 376 375 369 361 358 342 329 330 328 315 297 286 271 257 259 296 349 266 202 182 191 234 292 319 276 256 242 245 273 282 252 207 259 267 209 148 104 72 48 34 21 8 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 15 37 64 76 62 34 19 23 53 104 138 114 65 25 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
48 56 51 43 41 33 24 18 17 17 14 14 15 16 18 18 15 14 12 12 17 28 42 55 65 74 80 88 83 58 17 10 7 7 7 6 6 5 5 8 14 28 43 48 41 45 45 42 43 46 49 54 60 58 58 54 58 59 51 46 41 43 46 59 83 113 146 181 188 150 106 96 127 175 222 261 297 322 341 357 368 374 376 373 359 344 332 328 328 320 304 296 284 282 299 326 333 283 232 220 227 284 330 312 247 204 183 190 233 268 265 246 244 218 180 121 83 60 44 30 15 4 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 27 48 66 64 46 26 23 39 77 145 163 118 61 21 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
41 50 53 46 42 35 26 19 14 12 12 11 13 15 16 17 17 16 15 14 14 22 35 47 59 70 81 102 96 57 20 12 8 6 5 5 5 5 8 15 23 40 61 68 62 57 53 45 40 40 41 43 44 45 49 51 52 49 48 51 54 56 54 57 63 76 105 137 146 106 83 77 106 154 207 249 281 305 320 334 350 360 362 357 347 340 331 329 326 324 321 318 314 330 354 344 322 301 284 270 279 329 336 292 229 178 153 171 240 294 301 274 221 160 132 89 61 49 35 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 37 54 61 50 32 24 32 63 120 199 202 130 59 18 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
49 52 55 53 46 37 27 21 15 10 9 10 13 16 15 18 20 19 17 15 13 15 21 30 39 47 59 83 80 50 26 17 16 12 10 11 11 12 16 22 31 49 70 73 70 67 64 58 52 50 48 45 42 40 42 44 43 40 47 55 62 65 61 60 58 61 78 107 130 136 134 133 113 132 181 230 259 276 296 313 325 339 348 352 351 333 321 322 322 321 321 326 341 371 403 391 366 355 339 313 307 307 268 239 221 198 179 197 267 336 321 250 179 126 96 72 48 38 24 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 25 43 56 55 40 27 30 51 103 176 239 243 139 57 16 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
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48 57 71 69 53 42 33 24 17 11 7 7 10 13 14 16 21 21 19 21 23 23 19 16 19 19 26 35 42 45 48 52 53 55 56 54 50 50 53 49 50 53 54 48 44 45 50 54 54 55 57 58 60 60 59 58 56 56 57 54 64 72 80 85 82 76 80 102 125 142 147 140 128 127 144 171 197 225 262 301 333 368 363 339 321 312 311 318 315 323 349 385 418 445 467 473 402 404 403 368 336 313 282 259 266 279 281 288 308 308 239 122 109 91 65 41 26 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 27 32 34 32 27 30 54 124 210 268 275 220 121 43 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
55 64 71 67 53 46 36 27 20 13 6 4 10 11 13 16 18 18 15 17 22 25 26 26 26 25 32 41 49 55 60 64 65 66 72 74 71 68 65 58 58 57 51 44 41 40 44 50 53 53 54 55 57 58 62 67 69 70 70 70 78 89 99 109 115 116 115 122 136 138 126 117 120 132 149 173 206 228 246 269 298 323 325 317 304 307 324 357 395 431 465 482 484 466 435 400 376 411 464 400 342 327 323 305 291 294 306 313 313 280 196 100 83 77 58 37 22 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 24 25 24 24 27 42 85 175 264 300 269 189 99 36 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
58 67 72 67 57 48 39 27 19 12 6 4 5 8 10 14 16 16 14 13 16 19 22 27 29 34 50 64 73 72 71 71 71 71 78 84 78 70 63 58 56 53 47 42 41 41 43 45 50 53 55 58 61 64 71 82 90 99 103 104 105 112 120 131 140 141 140 148 158 148 114 116 133 149 160 171 197 227 239 250 265 280 288 290 280 277 292 368 460 532 579 560 500 434 370 344 392 473 506 406 358 364 371 352 318 292 299 309 287 241 162 88 68 63 54 34 18 9 3 1 0 0 0 0 0 0 0 0 0 0 0 2 3 6 12 18 22 24 24 26 37 64 127 231 312 318 250 154 75 27 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
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61 70 72 51 49 45 37 28 22 16 10 5 3 3 4 7 9 12 13 12 12 12 13 9 14 25 40 56 68 74 79 85 88 89 94 100 93 79 71 65 58 52 51 53 54 52 54 57 61 62 69 81 90 94 98 108 124 145 164 177 193 201 198 189 178 167 164 170 178 173 155 146 161 164 169 183 199 211 218 223 244 274 282 279 275 279 356 498 591 661 686 653 584 525 509 536 586 598 514 396 399 463 465 409 335 271 240 240 229 177 128 84 51 36 27 15 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 26 32 36 40 44 51 67 101 165 251 320 336 289 186 92 41 17 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 0 0
72 73 71 62 54 48 42 32 22 16 11 7 3 2 3 5 6 7 7 8 8 8 7 8 9 14 26 45 61 69 75 84 92 98 106 112 110 100 88 79 69 63 62 63 62 61 64 65 67 69 76 94 112 127 136 143 155 171 187 201 235 261 270 259 235 208 189 180 179 176 171 164 161 160 161 168 177 186 192 198 213 247 291 328 348 413 538 644 687 696 708 702 677 647 630 617 602 579 501 428 420 463 484 430 364 304 265 247 226 177 116 69 40 28 19 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 43 52 56 61 69 81 105 144 221 290 324 310 247 152 70 29 13 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 0 0
73 78 78 78 75 62 53 39 27 18 13 8 3 2 3 4 4 5 6 5 5 4 5 7 9 12 15 32 54 66 74 84 94 102 111 121 128 128 121 110 97 83 71 65 65 66 69 70 70 72 85 106 128 150 166 177 188 200 209 224 260 311 344 339 312 274 237 207 189 181 178 175 170 162 156 157 152 158 170 181 193 215 241 271 373 549 689 734 720 700 712 717 703 675 642 608 573 559 506 454 440 447 443 411 370 325 285 256 222 167 97 43 32 25 14 5 1 0 0 0 1 2 1 0 0 0 0 0 0 0 3 16 42 64 77 84 90 96 110 139 192 276 320 319 282 214 132 65 25 11 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 0
78 85 86 90 88 76 61 47 32 21 14 11 6 1 2 3 4 4 5 4 3 2 3 5 8 11 14 24 46 61 70 80 91 99 109 122 134 144 146 142 135 120 99 81 75 73 71 68 68 71 79 96 116 136 156 175 190 203 214 233 268 328 397 408 372 322 278 241 209 183 169 165 164 160 153 154 149 149 161 172 176 180 204 266 361 645 808 775 687 673 699 701 675 637 596 563 545 539 497 452 427 402 375 354 331 305 277 248 211 154 86 35 27 21 12 5 1 0 0 1 8 13 9 3 0 0 0 0 0 0 5 24 54 79 99 112 118 123 137 170 227 297 324 306 254 180 108 54 23 12 10 8 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
81 90 92 92 93 84 70 56 40 26 17 13 10 5 1 2 3 3 4 4 4 3 2 4 7 9 12 17 27 46 60 72 85 95 104 115 125 134 138 146 155 157 148 128 106 89 76 65 59 61 62 69 78 92 110 130 149 164 184 208 237 295 381 446 436 379 321 277 241 210 189 185 170 165 154 142 135 139 151 164 168 167 183 235 330 624 802 772 694 675 674 661 618 571 534 511 500 494 470 434 404 368 342 325 303 273 249 227 191 136 77 36 25 20 12 4 1 0 0 4 18 28 13 4 0 0 0 0 0 0 11 35 66 96 118 130 135 142 158 192 240 290 308 280 217 143 83 44 23 14 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
96 103 104 103 100 90 78 65 49 32 21 14 10 7 3 2 2 2 3 3 3 3 2 3 6 7 7 7 14 30 46 59 75 90 100 110 117 123 127 136 146 154 164 165 141 109 87 76 71 66 59 56 53 53 62 77 93 110 134 168 193 228 296 384 441 429 366 310 269 237 211 192 176 180 169 162 157 148 145 151 161 162 166 197 297 490 616 702 646 597 593 585 544 490 466 457 458 463 449 408 371 334 329 324 292 249 225 216 176 125 74 42 29 22 14 4 1 0 2 8 20 25 4 1 0 0 0 0 0 2 22 51 87 117 134 140 143 150 166 213 257 280 279 247 183 116 68 39 24 17 12 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
112 116 115 111 104 95 86 72 53 36 24 16 10 5 2 1 1 2 2 2 3 2 2 3 4 4 4 2 3 11 24 38 56 75 90 102 110 117 123 130 128 114 111 115 114 101 87 83 83 75 65 59 54 51 56 67 75 85 107 146 179 195 219 278 358 410 395 343 293 254 225 202 187 184 186 198 206 197 176 154 148 151 154 181 265 387 501 687 628 567 539 514 473 426 407 416 424 431 410 363 318 290 302 296 259 225 213 207 169 121 73 48 37 27 16 4 0 0 6 16 21 17 4 0 0 0 0 0 3 15 39 67 105 138 153 154 154 159 170 211 239 240 231 209 157 102 65 43 32 22 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
125 124 111 107 104 99 92 80 62 43 29 19 12 8 3 1 1 2 2 2 3 2 1 1 1 1 1 1 1 2 7 16 30 48 66 78 84 92 103 114 113 85 75 69 71 72 69 70 71 68 62 62 66 69 69 77 84 92 114 149 186 207 208 215 247 303 351 352 314 274 244 221 199 187 191 215 261 276 244 197 164 150 141 157 222 328 451 566 580 548 531 493 442 403 393 409 417 405 361 300 258 246 247 246 232 220 213 195 152 101 58 49 44 33 17 4 0 0 8 19 21 13 3 0 0 0 0 2 13 34 56 82 119 153 169 169 165 169 178 188 206 205 198 178 139 99 68 48 33 19 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
102 105 92 89 94 97 94 84 67 47 35 23 14 9 5 2 1 2 2 3 3 2 2 2 1 1 1 1 1 0 1 3 8 18 33 44 49 51 59 77 89 85 86 74 68 67 64 61 58 61 51 55 64 69 68 73 82 100 130 167 201 224 230 224 232 261 300 321 311 280 250 230 210 196 192 202 277 361 325 267 232 213 185 161 189 281 384 452 473 475 482 456 421 401 400 408 403 368 281 192 162 162 167 195 207 211 210 184 131 72 36 44 47 32 15 3 0 1 5 18 21 10 1 0 0 0 1 9 35 62 84 103 127 154 171 175 173 173 182 191 209 203 187 161 128 95 66 44 29 15 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
70 74 71 71 80 88 91 86 74 57 41 28 18 12 7 4 1 1 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 4 11 18 23 27 31 38 53 70 81 73 70 74 74 70 64 56 47 48 55 60 63 68 80 104 138 172 200 224 240 244 248 266 287 300 297 277 248 225 216 210 201 202 239 305 315 317 325 308 248 166 149 222 329 397 417 411 395 378 378 388 400 404 381 312 175 72 56 59 71 91 107 127 149 143 105 57 32 41 45 28 11 2 0 1 4 13 17 7 2 3 5 7 13 30 64 93 109 118 133 151 163 173 176 178 191 209 200 207 184 152 118 87 61 40 22 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
51 60 63 64 67 74 82 85 77 62 48 36 24 16 10 5 2 1 1 1 1 2 2 2 1 0 1 0 0 0 0 0 0 0 2 4 8 12 16 18 25 40 60 72 69 72 75 73 68 60 51 43 43 51 54 64 84 113 141 159 178 204 227 237 239 251 271 288 288 268 237 207 200 207 217 220 223 233 252 323 403 400 308 198 150 175 302 360 360 327 306 307 330 360 382 388 360 276 135 19 14 10 7 11 20 32 47 51 46 38 35 40 39 27 9 2 0 0 1 3 5 2 4 12 19 27 41 65 96 115 121 124 133 151 171 181 192 201 215 219 202 196 175 139 103 75 55 40 23 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
46 51 55 59 58 61 71 80 82 70 56 44 32 22 15 9 4 1 0 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 1 3 5 6 9 18 32 45 55 62 65 60 54 56 53 46 43 51 55 69 95 124 146 157 166 181 198 207 210 220 242 269 277 260 230 201 184 187 207 226 227 221 240 315 430 446 351 247 186 206 314 339 331 288 262 268 290 319 357 385 362 289 162 42 18 9 5 3 3 3 4 5 12 23 32 36 35 25 9 2 0 0 0 0 0 2 9 25 36 49 67 90 119 135 134 132 144 171 199 211 228 241 242 222 196 179 157 120 85 63 51 40 28 19 11 5 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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