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
nan 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 14 14 15 15 15 15 14 14 13 13 12 11 10 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 6 8 11 14 16 17 15 13 11 11 14 18 22 24 25 23 20 15 9 4 1 0 2 4 4 4 5 9 15 19 18 15 14 15 17 18 18 18 15 11 7 6 6 6 6 6 5 5 6 7 7 7 7 6 4 3 3 3 4 4 4 4 5 6 7 7 7 7 7 7 8 9 8 7 6 7 7 8 9 9 10 11 10 9 7 5 2 1 4 7 10 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 8 7 6 nan
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nan 9 10 11 12 13 14 14 14 13 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 9 8 8 8 9 10 11 12 12 12 11 11 10 9 9 9 9 10 11 12 12 11 11 10 10 9 8 9 10 11 12 12 12 12 12 12 13 14 14 13 12 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 11 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 11 12 13 14 14 14 12 11 11 11 12 13 13 12 11 10 10 11 11 11 11 9 8 9 11 12 13 13 13 12 11 10 8 7 6 6 5 5 5 6 9 11 13 13 12 10 9 9 9 10 10 10 9 9 9 8 8 8 7 6 5 6 7 7 7 7 6 4 1 -1 -2 -1 2 8 12 12 11 9 9 9 8 6 5 4 6 9 13 14 12 9 5 4 8 nan
nan 10 10 11 12 13 14 15 15 14 14 13 12 11 11 11 10 10 11 11 12 13 13 13 12 12 11 11 10 10 9 9 9 10 10 11 12 13 13 12 12 11 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 10 10 11 12 13 13 14 14 14 13 11 9 8 7 8 9 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 12 12 12 12 11 11 13 13 13 13 12 11 9 8 7 7 8 8 10 11 10 9 9 10 12 13 15 15 13 12 11 11 11 12 12 11 10 10 10 10 11 11 11 10 8 8 10 12 13 13 12 11 11 10 9 8 7 8 8 8 7 7 7 9 10 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 7 9 10 11 12 12 11 8 6 5 6 9 12 12 11 9 9 9 8 7 5 5 7 10 13 14 13 9 6 6 7 nan
nan 10 11 11 12 13 14 15 15 15 14 13 12 12 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 11 12 12 13 13 12 12 11 10 9 9 9 9 9 10 11 11 12 11 11 10 9 9 9 10 11 11 12 12 14 15 15 13 11 8 6 5 6 8 10 12 14 14 13 12 12 13 15 16 16 15 13 11 10 10 11 11 11 11 12 12 13 12 11 10 10 9 9 8 8 8 9 9 10 10 9 8 9 11 13 15 16 15 13 11 11 10 11 11 10 9 8 8 9 10 11 11 10 8 7 8 9 11 11 10 10 10 11 10 10 9 10 12 12 10 9 8 7 8 9 9 9 8 9 9 9 9 8 8 8 8 9 8 8 7 6 6 6 6 7 9 12 16 18 18 16 13 11 11 12 14 13 10 7 6 7 6 5 3 5 7 11 13 14 13 11 10 9 8 nan
nan 11 11 11 12 13 14 14 15 14 13 13 12 12 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 10 10 12 12 12 12 12 11 10 9 10 11 11 12 12 12 13 14 15 14 12 8 5 4 4 7 11 14 15 15 14 12 12 13 15 17 17 16 13 11 10 10 11 11 11 11 11 10 9 9 8 8 9 9 10 9 9 8 8 8 9 10 10 10 9 10 12 15 16 16 14 12 11 10 10 10 9 8 7 7 8 9 10 11 10 8 6 5 6 8 8 9 9 10 10 11 11 11 12 13 13 12 10 8 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 14 16 18 18 16 14 14 15 15 13 8 4 0 -0 -0 -0 1 5 8 11 12 12 11 11 11 10 10 nan
nan 10 10 11 12 13 13 14 14 13 13 12 12 11 11 11 10 10 10 10 11 11 12 12 13 12 12 11 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 10 12 12 13 13 12 12 11 10 10 10 11 12 12 12 12 12 13 14 14 12 9 6 4 5 7 10 13 14 13 12 11 11 12 14 15 15 13 11 10 10 11 12 12 12 11 10 8 7 6 7 8 9 9 9 9 8 7 6 6 8 10 12 12 11 11 11 14 16 16 15 13 11 11 10 10 9 9 8 8 8 9 10 11 11 9 8 7 7 7 8 9 10 11 10 10 10 11 13 13 12 11 9 7 6 5 6 7 8 8 9 9 8 8 9 10 10 10 10 10 11 11 11 10 9 8 8 8 10 12 15 16 17 16 15 15 16 15 12 7 2 -3 -6 -5 -2 3 8 12 14 13 12 11 11 11 11 10 nan
nan 10 10 10 11 12 12 13 13 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 11 10 10 10 9 9 9 9 9 10 11 11 12 13 13 12 12 10 9 8 9 10 11 12 13 13 12 11 10 10 10 11 12 13 13 13 13 12 13 13 13 11 9 7 5 6 8 10 11 11 11 10 10 11 12 13 13 12 10 9 8 9 11 12 12 12 11 10 9 8 8 9 10 10 9 7 6 6 5 5 5 6 9 12 13 13 12 11 13 16 16 15 13 12 11 11 11 10 10 10 9 9 9 10 11 11 10 10 10 10 9 9 11 12 12 11 9 9 9 11 11 11 10 8 6 5 5 5 7 8 8 8 8 7 8 9 10 10 10 10 10 12 12 11 10 9 8 8 10 13 16 19 19 18 16 16 16 16 14 10 7 2 -2 -5 -4 1 6 10 14 15 15 14 12 11 11 11 10 nan
nan 9 9 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 12 13 13 12 10 9 8 8 9 10 12 12 12 11 10 10 9 10 11 12 13 14 14 14 13 13 12 12 10 9 7 6 7 8 10 10 10 10 10 10 10 11 12 11 10 9 8 9 9 10 11 12 12 11 11 11 12 12 14 15 14 10 6 4 3 4 4 4 5 7 9 11 12 12 11 12 14 15 14 12 11 10 10 10 11 11 11 10 9 9 10 10 10 10 11 11 11 11 11 12 13 13 12 10 9 9 9 10 10 10 9 8 6 6 7 8 9 9 8 7 7 8 9 10 11 10 9 9 10 11 10 8 7 6 5 8 13 17 20 21 19 16 16 16 15 13 10 7 3 -0 -1 0 3 6 9 12 15 16 14 12 11 10 10 10 nan
nan 9 9 9 9 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 10 9 8 8 8 9 11 11 11 10 9 8 8 9 11 12 13 14 14 15 14 14 13 12 11 9 7 6 6 7 9 10 10 10 9 9 9 10 11 11 11 10 10 10 11 12 12 13 13 12 12 13 15 18 20 21 18 12 5 1 1 2 4 5 7 7 8 9 9 10 10 11 12 12 12 11 10 9 9 9 10 11 11 11 10 10 9 9 9 10 11 11 11 11 10 11 11 12 12 12 11 10 9 9 9 9 10 9 8 8 9 10 11 10 8 6 6 9 10 12 12 11 9 8 8 8 9 8 7 7 5 5 8 10 12 13 13 12 13 14 13 12 10 8 6 4 3 4 5 7 9 12 15 16 14 12 10 9 9 10 nan
nan 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 10 9 9 8 8 9 10 11 10 9 7 7 7 9 10 10 11 13 13 14 15 15 15 14 13 11 8 5 4 5 7 9 9 9 9 8 8 8 9 10 11 11 11 11 11 12 13 14 14 13 13 15 17 20 23 24 20 11 4 -1 -1 2 6 11 13 12 11 9 8 8 8 9 9 10 10 10 9 9 8 8 9 10 11 12 11 11 10 9 9 10 10 11 12 11 9 8 8 9 10 11 12 13 13 11 10 9 9 9 9 10 11 11 11 9 6 5 6 9 12 13 13 12 10 8 7 7 9 10 12 13 11 7 4 2 2 3 5 7 8 9 10 10 10 10 9 8 8 9 9 11 12 13 15 15 14 12 10 9 9 10 nan
nan 8 8 8 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 11 11 9 7 6 7 8 9 10 10 11 12 13 15 15 16 16 15 14 10 6 4 4 5 6 7 7 7 6 6 7 7 7 9 10 10 11 11 11 12 13 14 14 15 17 19 21 21 20 16 7 1 -2 -1 4 12 17 20 19 16 13 10 8 7 7 8 8 9 9 10 10 9 9 10 11 12 13 12 11 10 10 9 9 10 11 11 10 9 8 8 8 8 9 12 15 17 17 15 11 9 8 9 11 12 12 11 8 5 4 6 9 11 13 14 13 10 7 7 7 9 13 16 18 17 12 7 2 -1 -1 2 5 6 7 8 8 8 9 9 10 12 13 13 14 14 14 14 13 12 11 10 9 10 11 nan
nan 8 7 8 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 11 11 10 8 7 7 8 8 9 10 10 11 12 13 14 16 16 16 15 11 7 4 4 4 4 5 4 4 4 5 5 5 6 6 7 8 8 9 9 9 10 12 14 16 18 20 20 19 15 11 5 1 -0 1 6 14 19 21 20 18 14 11 9 8 8 9 10 10 10 10 10 10 10 10 11 12 13 12 11 10 10 9 9 9 9 10 10 10 11 10 9 8 8 10 14 17 18 18 15 10 8 8 10 11 11 11 9 7 5 6 7 9 12 13 12 10 7 6 6 8 11 14 16 17 14 10 6 4 3 4 7 8 9 9 9 8 8 9 10 12 13 13 13 12 12 12 12 11 12 11 11 12 12 nan
nan 8 8 7 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 8 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 9 11 11 11 9 7 7 7 8 9 9 10 10 11 11 12 13 14 14 13 10 7 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 7 8 10 13 16 18 19 17 13 9 6 3 2 4 7 12 16 18 17 16 14 12 11 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 10 9 9 9 9 8 8 8 9 11 12 12 10 8 6 7 9 12 15 16 15 12 8 7 8 9 10 11 10 9 8 7 7 8 10 11 10 8 6 5 5 5 5 7 9 10 10 9 8 7 6 7 9 10 12 13 12 11 10 10 11 11 11 11 10 9 9 10 10 11 12 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
68 65 55 44 39 41 45 49 56 57 53 50 49 50 56 60 65 71 75 75 77 79 74 78 83 93 104 113 121 131 143 161 176 189 195 188 180 183 199 221 240 255 263 265 270 281 323 328 268 230 269 290 302 366 425 442 456 468 410 378 359 341 325 312 303 298 294 295 310 328 334 326 312 295 259 230 206 190 176 160 158 175 178 179 197 222 255 292 318 315 309 315 326 338 353 375 400 417 430 420 421 424 430 448 470 482 493 493 476 449 423 407 424 354 320 301 266 230 205 177 157 129 102 82 84 119 178 232 246 249 356 276 181 113 74 61 66 79 93 110 124 126 109 81 60 49 33 10 1 0 0 0 0 0 0 3 11 22 34 45 57 72 84 82 74 67 61 52 37 21 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
68 65 59 46 40 39 41 44 50 54 53 49 48 52 58 62 66 70 73 74 78 84 88 91 90 100 109 116 124 135 149 169 191 204 215 214 199 185 187 205 224 244 259 272 282 291 320 361 407 416 423 452 480 519 532 513 512 503 461 420 391 370 345 319 296 276 262 257 265 281 279 271 258 238 214 200 186 175 170 168 170 172 171 184 208 224 254 290 312 304 296 306 323 340 359 382 406 425 450 431 440 451 493 534 546 544 540 531 509 472 432 413 398 308 275 280 251 218 185 158 140 113 84 80 111 176 244 288 296 288 284 222 158 108 79 72 78 88 96 105 114 112 93 65 42 30 17 4 0 0 0 0 0 0 0 2 8 20 36 52 66 82 95 87 74 60 48 36 23 12 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
70 65 60 51 41 38 38 39 43 47 48 44 44 50 57 62 66 70 72 73 75 82 91 96 98 110 121 130 136 143 155 171 193 211 224 241 237 217 203 208 218 231 245 265 285 308 338 360 395 417 440 469 504 538 548 525 532 527 503 476 446 414 375 333 298 269 252 244 246 255 253 249 225 206 198 195 191 181 178 181 180 171 164 176 211 230 253 294 314 309 302 311 327 346 370 394 413 433 452 438 454 473 525 581 610 607 589 568 535 486 442 414 362 278 242 249 228 206 165 134 119 104 91 104 164 243 298 319 319 309 290 227 162 116 93 89 96 105 110 112 109 98 75 47 24 12 6 0 0 0 0 0 0 0 0 3 10 22 41 60 77 93 107 105 79 45 22 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 0 0 0 0 0 0 0 0
71 66 61 53 43 38 35 34 35 38 40 40 41 48 55 59 65 70 73 76 79 82 90 96 103 115 126 135 142 151 164 180 197 220 234 257 270 273 268 258 251 248 248 250 274 319 363 383 391 412 435 457 481 505 520 519 528 527 503 487 465 434 395 352 317 288 270 259 254 259 273 265 231 202 199 204 203 194 186 182 176 170 167 180 213 236 241 296 324 322 317 322 335 356 391 426 449 463 463 452 461 470 505 599 648 650 631 602 557 499 442 380 310 241 210 212 197 194 149 116 102 103 119 162 237 312 335 332 322 313 293 243 176 131 110 107 114 120 121 115 104 84 56 29 10 2 1 0 0 0 0 0 0 0 0 0 5 19 41 64 84 100 103 84 57 24 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
71 65 61 55 46 39 34 31 29 31 33 34 37 40 47 53 63 72 78 81 87 91 94 100 106 116 127 136 145 155 167 184 207 229 246 263 288 305 316 310 303 302 302 300 312 358 407 425 429 444 464 479 501 525 540 538 529 519 485 478 465 432 396 368 346 325 305 278 246 231 239 240 235 209 208 199 192 193 179 160 157 161 168 190 216 233 245 306 350 341 330 333 349 375 413 457 493 499 477 462 469 475 497 629 665 661 647 616 561 492 430 337 256 199 179 176 166 168 138 112 104 117 158 228 310 369 361 340 322 308 289 252 197 150 129 124 127 128 123 110 90 66 37 14 3 0 0 0 0 0 0 0 0 0 0 1 4 13 33 59 81 86 68 33 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0
70 66 62 60 49 41 34 30 27 25 26 25 29 34 39 46 57 68 76 83 91 97 101 107 111 117 128 137 145 155 164 184 211 233 251 272 295 307 323 332 345 363 379 390 394 437 482 491 476 480 492 503 529 556 566 557 545 537 524 522 500 453 404 378 365 352 333 307 267 232 203 208 240 236 256 283 290 272 240 207 191 190 188 204 224 241 268 323 392 390 366 363 378 404 441 485 532 517 475 462 475 492 525 650 653 635 630 606 549 474 397 289 213 164 152 148 141 137 127 117 124 153 210 290 362 392 374 347 324 305 289 261 216 171 147 139 135 129 116 94 69 44 18 6 1 0 0 0 0 0 0 0 0 0 0 0 3 10 28 53 74 65 39 15 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
69 66 64 59 50 43 36 28 21 18 16 15 18 24 30 39 53 66 75 82 90 97 104 111 115 119 129 138 146 155 166 184 214 234 258 283 305 320 333 345 366 391 407 416 444 496 525 562 525 501 507 524 550 571 566 551 540 531 527 522 500 480 425 399 369 321 278 265 281 307 318 288 255 257 296 336 363 325 282 264 259 248 228 244 263 273 300 350 420 483 452 419 416 433 466 507 532 502 462 457 472 489 532 608 610 589 592 581 536 459 359 253 195 155 132 116 106 103 108 127 166 217 279 346 388 392 369 347 335 319 295 264 228 193 169 155 143 128 105 79 52 26 6 1 0 0 0 0 0 0 0 0 0 0 0 0 3 11 27 52 66 53 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
69 66 64 58 50 45 38 27 16 10 8 9 12 18 23 34 49 64 75 82 90 98 104 111 117 122 127 136 142 153 169 190 218 245 269 290 313 336 352 359 370 391 421 462 496 524 539 570 568 545 550 558 563 558 541 523 512 495 487 494 494 480 438 415 373 264 181 157 193 259 302 281 298 314 337 365 393 387 359 329 309 294 281 292 309 313 341 389 461 544 555 487 445 448 474 504 510 486 461 465 469 479 511 551 570 568 560 548 513 438 336 248 202 167 119 92 70 67 88 138 213 285 339 383 399 386 361 348 351 347 318 279 246 218 194 171 150 126 98 69 39 14 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 25 46 61 51 29 11 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
66 67 66 60 53 47 39 27 16 8 4 4 7 12 19 29 43 58 71 81 89 97 104 112 118 121 128 139 143 156 170 191 218 247 272 288 315 341 367 379 386 400 425 450 474 499 517 523 530 543 584 587 568 542 516 497 485 468 448 458 467 454 428 399 434 341 192 128 157 229 299 346 359 357 349 358 377 372 383 376 349 333 334 340 347 342 379 440 490 550 590 552 479 453 469 496 499 481 467 470 465 451 469 497 526 545 541 517 473 396 321 263 223 182 123 90 49 39 65 134 231 318 375 412 414 388 360 353 363 366 351 316 279 247 217 186 154 123 92 60 30 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 24 41 54 44 26 11 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
63 69 72 69 61 52 41 28 17 7 2 2 5 9 15 24 39 52 67 78 86 95 103 110 117 122 131 146 157 166 180 195 217 242 266 286 306 324 356 385 405 418 428 436 442 453 464 476 492 517 565 572 558 539 514 490 474 463 441 448 438 425 398 367 361 300 206 175 208 269 320 337 342 356 344 340 340 342 358 371 348 331 331 342 357 373 415 482 527 563 599 591 528 469 467 493 495 478 462 452 433 395 410 467 511 530 522 488 431 358 296 262 225 180 131 89 35 22 47 123 220 302 357 391 382 364 347 349 360 367 370 353 308 267 230 193 155 119 86 53 25 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 39 41 26 11 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
66 75 80 80 73 63 50 36 23 13 5 2 4 9 17 27 40 50 67 75 82 91 99 106 115 123 131 143 156 171 188 202 219 238 258 276 291 309 336 366 400 419 418 410 404 392 374 380 409 443 478 493 495 497 488 468 452 441 432 424 393 384 350 321 315 332 313 283 285 303 319 319 308 322 321 332 339 333 337 350 338 308 307 316 338 371 422 493 556 581 601 599 562 512 486 487 488 473 453 430 395 359 391 464 502 504 483 442 386 319 260 236 194 159 119 71 30 26 71 143 208 251 277 295 303 307 314 335 351 368 381 364 320 271 230 190 149 110 77 46 21 5 1 0 0 0 0 0 0 0 0 0 1 1 2 5 17 31 40 41 32 16 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
72 83 87 86 82 74 62 47 33 21 11 4 4 9 19 32 41 51 65 73 80 89 98 107 116 124 134 149 160 173 185 197 214 234 247 261 279 300 324 352 387 411 411 384 341 293 250 243 278 317 349 369 379 387 395 394 382 368 357 343 316 318 285 274 285 303 313 312 315 325 326 310 286 273 276 291 315 326 333 336 328 309 305 298 316 362 407 457 511 551 571 576 566 541 508 483 483 476 461 432 398 383 406 412 400 380 358 334 308 277 240 218 162 126 81 40 32 70 139 202 218 203 192 197 217 243 278 320 345 365 379 369 329 275 226 181 138 97 63 37 17 2 0 0 0 0 0 0 0 0 0 1 2 5 11 24 42 57 56 45 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 0 0 0 0 0 0 0
75 85 88 89 88 83 74 60 43 30 18 9 5 10 20 36 39 47 59 70 79 89 99 108 118 128 139 154 165 177 183 193 207 220 231 245 267 290 315 344 376 400 394 355 289 222 178 174 194 242 262 271 276 279 289 298 293 280 272 264 257 259 250 239 244 259 270 275 284 297 293 267 242 230 231 239 256 276 297 295 276 255 246 256 307 372 385 405 451 503 525 532 538 529 506 487 488 491 485 459 428 404 365 300 229 180 165 173 191 203 203 191 144 97 51 26 46 108 185 233 213 163 142 147 170 205 254 307 328 338 349 351 325 276 217 164 118 80 51 29 12 0 0 0 0 0 0 0 0 0 0 1 5 14 27 44 66 70 59 44 24 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
73 83 88 91 94 92 84 71 55 37 26 16 10 12 22 36 39 46 56 68 78 88 98 108 120 132 145 159 173 178 182 190 200 209 218 230 251 276 297 322 347 358 341 300 245 199 177 179 203 256 269 263 258 249 242 238 235 232 227 220 228 233 230 219 225 243 244 249 254 245 207 156 146 153 171 188 205 218 230 231 224 217 221 242 296 339 326 364 424 471 490 491 494 493 485 487 499 510 512 489 445 399 316 211 117 58 38 57 95 135 156 152 120 75 34 17 45 113 176 191 154 108 99 116 145 190 242 288 298 292 298 311 304 263 202 142 94 62 41 23 8 0 0 0 0 0 0 0 0 0 0 2 11 36 60 75 79 71 52 35 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
71 83 89 94 98 97 91 80 62 43 30 20 17 18 26 36 44 52 59 67 77 87 98 108 121 136 152 168 177 179 178 186 193 199 206 217 234 256 272 293 307 297 269 242 219 201 200 215 258 303 304 295 291 269 241 223 220 225 225 221 232 223 214 215 217 215 201 195 194 159 87 65 61 87 119 143 157 168 178 186 191 196 203 223 253 272 287 380 446 471 472 461 452 454 469 494 516 531 528 495 438 373 271 160 75 33 27 36 50 69 96 102 85 51 23 14 51 105 125 104 67 48 64 114 157 194 228 249 245 237 249 279 288 254 191 126 77 44 29 14 4 0 0 0 0 0 0 0 0 0 3 11 40 83 106 109 98 82 59 43 24 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 0 0 0 0 0 0 0
67 80 90 96 98 98 96 86 70 51 34 23 21 23 28 34 43 51 57 66 76 88 100 112 125 139 153 169 178 177 175 179 183 187 192 202 218 236 252 270 267 245 227 224 227 223 230 264 305 322 319 311 301 269 234 225 229 235 236 232 227 214 206 202 191 174 158 140 131 129 108 69 56 79 94 110 122 129 137 148 154 155 159 177 208 249 317 436 487 485 457 432 425 442 478 515 542 552 531 481 411 330 218 112 52 37 46 56 52 41 50 57 50 31 19 31 82 90 65 33 13 21 59 135 176 184 183 175 166 172 192 228 252 232 179 118 71 37 22 9 2 0 0 0 0 0 0 0 1 3 12 36 82 132 143 130 113 96 75 58 32 11 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
60 75 86 93 97 100 98 90 73 52 37 26 22 23 24 27 33 41 54 67 77 89 99 110 124 140 153 167 174 171 171 173 174 176 178 188 204 219 236 247 237 209 206 253 276 261 249 274 299 308 313 314 310 294 264 255 251 245 236 223 209 199 189 181 169 151 127 103 85 80 84 82 70 66 61 58 70 90 103 109 111 115 125 148 186 256 358 461 498 469 435 422 429 456 493 527 550 536 507 454 377 279 157 70 37 37 56 72 70 46 36 30 27 18 24 53 77 48 17 8 16 44 90 142 144 130 106 91 92 110 134 161 184 185 157 116 74 38 18 7 2 0 0 0 0 0 0 0 1 8 25 61 114 160 164 147 125 107 89 67 37 13 2 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
51 68 81 92 98 101 100 91 75 54 38 24 19 20 24 26 29 35 50 62 73 86 94 104 120 137 150 157 159 158 159 161 163 165 169 179 194 208 227 238 230 217 231 252 262 247 223 219 236 257 288 312 320 315 302 279 264 249 233 213 193 180 165 157 142 120 93 67 47 37 34 35 35 29 21 15 21 36 51 67 88 111 132 150 192 285 384 445 455 451 439 441 449 462 478 489 488 456 437 403 342 244 131 62 35 33 46 65 70 53 33 19 18 25 41 48 32 13 8 23 48 75 95 93 58 46 33 38 54 74 92 106 122 139 137 117 79 40 17 9 2 0 0 0 0 0 0 0 3 12 34 78 137 187 208 194 160 129 108 88 63 28 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
44 60 75 88 97 102 100 92 75 56 40 23 18 20 23 26 28 31 43 54 66 79 91 101 115 131 143 150 151 149 147 150 152 157 165 175 186 195 212 225 226 238 268 262 241 220 203 196 200 216 245 288 312 305 285 265 249 237 220 198 177 160 144 127 103 76 53 33 21 15 14 13 11 6 2 1 2 6 14 46 93 137 170 196 236 326 407 424 428 440 435 433 429 424 427 432 415 373 344 338 310 237 151 84 46 30 32 47 60 61 45 22 14 27 29 22 16 21 40 61 72 68 48 21 2 4 4 18 40 59 70 78 92 114 129 123 84 43 18 9 3 0 0 0 0 0 0 1 5 17 45 89 149 214 259 245 183 129 104 83 53 21 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
37 52 68 82 94 101 101 92 75 58 41 24 14 11 16 20 21 24 34 48 56 71 85 97 108 120 130 135 134 134 135 139 141 150 160 168 174 178 183 192 193 213 235 243 238 219 204 196 193 195 209 241 282 276 255 236 223 213 199 176 158 147 133 111 80 49 28 14 6 4 4 5 4 1 0 0 0 1 6 45 111 168 198 217 263 364 425 422 423 413 383 357 336 320 318 323 311 284 271 284 289 227 151 86 47 29 22 29 49 68 55 27 14 12 7 12 39 72 90 80 51 26 7 0 0 0 1 9 26 45 56 65 79 103 129 132 92 50 23 9 2 0 0 0 0 0 1 5 17 45 89 129 175 230 264 235 157 90 47 27 16 7 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
32 45 61 77 89 97 98 90 75 59 44 27 12 5 9 14 16 18 26 39 48 61 76 88 98 107 114 118 118 119 121 124 129 139 149 157 158 155 152 155 158 167 191 216 224 216 204 199 196 192 191 202 229 246 228 206 194 186 176 159 143 134 120 101 76 50 26 12 4 1 0 0 1 0 0 0 0 3 18 59 117 168 198 225 282 363 391 367 357 314 274 250 235 227 225 210 198 205 216 226 223 160 100 59 39 31 28 29 45 78 67 39 19 7 10 45 113 153 131 72 18 0 0 0 0 0 0 4 17 42 57 66 83 112 140 145 106 58 29 12 2 0 0 0 0 0 2 11 32 73 119 142 180 219 216 154 65 18 10 7 3 2 2 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
29 41 56 71 84 93 95 90 77 62 47 32 17 7 6 9 11 13 18 25 36 50 62 74 86 97 104 108 107 108 109 112 118 127 136 143 141 135 131 132 139 150 170 198 202 196 192 193 191 183 173 170 188 217 203 176 162 157 153 146 133 120 99 89 72 51 31 17 9 4 1 0 0 0 0 0 0 10 38 80 120 152 177 214 281 335 330 277 267 217 197 195 197 202 210 198 175 166 158 139 107 65 37 34 46 55 54 52 65 99 106 59 22 13 36 101 179 174 104 39 5 0 0 0 0 0 0 6 24 53 73 85 108 141 162 153 111 61 34 15 4 1 0 0 0 1 6 18 43 78 108 141 154 181 168 109 43 8 2 3 3 1 0 1 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
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