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 12 11 9 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 11 12 12 12 11 10 8 7 6 6 6 6 6 7 8 9 9 10 11 13 13 12 11 11 11 11 12 11 10 9 9 10 10 10 10 11 15 18 17 10 4 4 8 10 10 9 9 9 10 15 21 24 21 16 13 11 10 10 10 11 11 11 11 12 12 11 11 10 10 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 12 11 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 12 12 11 10 9 8 7 6 6 5 6 7 8 8 8 9 11 12 12 12 12 11 12 13 13 12 10 10 10 10 10 10 11 14 16 15 8 3 5 8 10 10 9 9 9 11 15 20 22 20 16 14 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 15 16 17 17 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 11 11 10 9 9 8 7 7 8 9 11 11 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 7 8 9 13 15 17 19 19 20 22 23 25 27 28 29 30 31 30 28 25 21 18 13 7 2 -1 -3 -6 -9 -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
CAPE
264 257 251 240 231 229 234 235 235 233 233 231 223 219 213 202 190 180 175 173 166 158 149 140 131 117 99 84 73 67 58 52 52 56 61 66 69 67 65 63 58 46 33 28 28 26 18 8 3 3 7 13 19 17 12 9 11 19 31 32 20 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 0 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 4 5 7 7 8 10 10 11 12 14 16 17 18 21 24 28 30
300 295 287 277 268 263 265 264 262 260 259 256 245 242 235 226 217 210 204 198 188 179 172 164 151 135 119 103 89 76 64 50 47 50 56 62 63 63 64 65 63 52 38 32 33 36 31 21 13 7 8 15 24 24 19 13 10 14 21 14 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 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 4 6 7 8 8 10 11 12 14 15 16 16 17 20 24 27 29 30
341 334 325 314 302 293 294 294 293 290 286 281 276 269 260 250 242 235 231 220 208 199 193 186 169 153 140 128 113 96 77 58 48 47 51 58 61 60 59 61 61 53 39 31 32 35 38 34 21 11 10 15 23 28 26 21 14 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 8 8 10 12 13 14 16 17 17 18 20 24 28 30 30 30
369 364 358 350 340 325 321 323 324 323 318 311 307 300 291 278 262 262 252 239 226 218 213 206 190 176 165 156 144 130 100 75 60 53 52 56 59 59 57 55 54 51 42 33 31 32 38 45 41 30 22 20 24 28 31 28 17 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 0 0 0 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 1 2 4 5 6 8 9 10 12 13 14 16 17 18 18 19 22 26 29 30 31 29
392 388 382 375 365 353 348 350 354 354 347 342 338 331 320 303 284 280 268 255 244 238 233 223 210 196 187 182 168 142 115 93 79 69 66 64 64 64 62 57 52 52 49 43 38 34 37 47 54 52 45 35 31 29 28 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 11 12 13 13 15 18 19 19 18 20 24 27 30 31 31 29
407 402 397 390 381 377 373 375 382 385 380 373 367 359 347 332 317 302 289 277 268 261 251 238 224 212 205 204 188 165 141 120 108 96 90 84 79 77 74 67 63 61 61 61 58 47 44 49 58 65 64 54 46 39 29 13 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 0 0 0 0 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 4 6 8 11 13 15 14 14 17 20 21 21 19 21 25 29 32 32 31 29
433 425 417 407 399 400 397 398 404 408 405 395 387 379 367 354 341 328 314 302 295 284 268 251 235 225 221 219 209 192 170 152 140 127 116 105 97 92 86 78 72 70 72 78 75 63 54 52 56 65 74 70 62 52 34 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 0 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 3 4 5 7 9 12 15 16 15 16 19 22 23 21 21 22 25 29 31 32 31 29
468 458 448 438 431 427 422 419 419 420 414 409 403 394 386 376 363 350 337 327 320 308 288 268 252 243 242 239 229 213 192 176 165 153 140 127 117 108 98 90 85 83 82 90 85 73 59 50 48 57 69 74 69 53 26 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 0 0 0 0 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 3 3 5 6 8 10 13 17 16 15 16 19 22 23 22 21 21 25 28 31 32 31 29
505 494 485 474 467 460 452 444 435 431 422 413 405 401 401 398 386 371 359 351 344 329 308 287 272 262 259 254 245 228 204 193 184 175 166 154 143 131 120 114 111 109 105 108 103 92 75 53 44 48 58 68 70 45 17 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 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 4 4 4 5 7 9 11 14 16 17 16 16 19 21 23 23 22 20 23 26 29 31 30 29
532 526 521 510 500 492 482 472 459 449 438 426 414 407 417 417 408 396 385 376 366 350 329 307 292 282 276 268 258 244 226 213 204 198 192 182 172 161 150 141 138 138 134 132 129 123 112 81 62 54 55 62 70 38 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 5 6 8 9 12 15 17 18 16 15 17 19 22 24 22 20 21 24 27 29 29 28
554 552 547 539 531 523 515 504 487 473 461 449 439 424 430 431 426 418 410 402 391 375 355 333 315 304 295 283 271 258 244 233 228 225 219 210 200 186 174 166 163 161 157 153 151 151 147 126 102 82 70 69 65 34 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 5 7 8 9 11 14 16 17 16 15 16 17 20 22 22 20 19 19 24 27 28 29
577 574 569 565 560 553 543 530 514 499 483 470 458 444 442 442 440 434 425 421 412 397 376 354 337 323 311 301 292 280 266 256 252 252 250 244 231 214 199 190 185 180 174 167 163 164 166 158 141 120 100 92 65 27 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 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 1 1 2 4 5 5 6 7 9 10 11 12 13 15 15 15 15 15 19 20 20 19 18 18 21 25 28 29
598 596 592 586 580 572 558 544 529 513 496 480 469 457 452 449 446 442 433 428 421 409 394 383 359 343 332 322 313 299 286 276 273 276 279 274 262 244 225 212 205 198 191 184 176 175 177 177 169 153 132 107 63 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 3 4 4 5 6 7 8 9 10 11 13 13 13 14 14 13 16 18 19 18 17 18 20 24 27 29
615 620 617 609 598 586 570 554 538 522 506 495 483 473 464 456 450 451 442 434 427 420 413 401 381 362 347 334 323 309 298 291 289 292 296 296 286 269 250 235 223 214 208 206 201 198 196 196 192 178 154 117 60 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 5 6 7 7 8 8 10 10 10 10 11 10 10 12 15 18 17 16 17 20 25 28 30
623 634 636 630 618 603 587 571 556 542 529 519 506 492 478 464 450 443 436 433 432 425 419 405 387 370 356 343 332 319 310 305 304 307 310 309 302 291 278 261 242 227 222 224 231 229 226 224 217 201 175 133 73 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 6 6 6 7 6 7 8 7 7 6 7 7 8 10 12 15 16 16 17 20 25 29 32
622 635 640 638 631 622 614 604 590 575 561 544 524 506 488 468 447 429 422 427 433 425 417 405 390 376 364 351 341 331 323 319 318 319 319 317 315 312 303 286 264 244 232 232 241 246 249 249 245 231 204 156 90 28 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 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 2 2 3 4 4 5 5 6 7 7 7 7 6 6 4 5 6 8 9 12 14 15 16 16 21 26 30 33
610 623 630 634 635 634 636 636 631 618 599 577 551 526 502 476 453 436 432 434 434 424 415 406 395 381 371 364 356 347 339 333 331 331 331 332 332 330 322 308 287 264 246 240 242 247 256 263 262 253 228 177 105 40 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 4 4 4 4 5 6 7 7 7 6 4 3 3 4 5 7 10 11 13 16 17 19 23 29 34 37
580 595 607 615 618 620 624 632 643 650 639 619 589 555 523 496 472 460 455 451 443 430 417 406 397 389 383 379 374 367 357 349 344 342 341 342 343 341 334 323 307 289 270 258 252 253 259 270 268 260 237 191 117 40 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 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 3 4 5 5 5 5 6 7 6 5 5 3 3 3 4 6 9 10 11 13 17 18 22 26 31 37 40
539 560 577 588 589 590 597 613 638 666 667 650 622 587 553 523 497 482 474 463 451 439 427 417 410 403 396 390 386 381 372 363 358 355 354 352 355 349 339 328 318 306 288 275 264 256 254 266 263 255 238 200 102 32 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 4 5 6 6 6 6 7 8 7 5 3 3 4 4 5 7 9 10 12 15 18 20 23 26 32 37 39
502 531 553 570 583 593 606 625 653 679 684 673 650 621 589 557 530 507 488 470 459 447 436 426 417 410 405 400 394 388 383 379 375 369 363 362 361 347 327 310 304 293 282 272 261 249 247 250 248 242 231 211 90 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 0 0 0 0 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 1 1 2 2 2 3 4 5 5 5 5 6 6 7 9 10 10 6 4 4 5 6 8 9 10 11 14 17 19 23 27 29 32 35 38
462 500 527 552 577 600 622 643 668 686 694 691 677 654 625 596 567 537 508 484 470 458 445 431 420 415 412 409 405 399 395 389 383 378 371 363 346 323 297 274 266 257 251 247 241 228 226 225 223 219 212 175 91 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 3 3 3 4 4 5 6 5 6 6 7 9 10 9 6 6 7 7 8 9 10 11 14 18 20 23 26 29 31 33 34 36
401 443 473 500 529 562 594 618 648 673 692 702 699 680 652 625 598 570 539 512 490 472 456 441 429 423 421 419 415 410 405 399 390 375 355 331 305 278 252 235 227 219 214 213 211 204 201 200 195 182 173 125 61 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 3 4 4 4 6 7 7 7 6 7 8 9 9 10 11 11 11 11 12 15 19 22 24 27 29 31 32 33 33 33
336 362 386 412 438 465 497 539 579 617 652 681 695 687 673 653 627 597 569 542 519 499 480 458 446 437 431 424 418 413 407 399 384 355 323 293 266 242 219 208 196 185 178 177 167 168 174 174 162 142 132 99 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 4 4 4 5 6 7 7 7 6 7 8 9 12 13 13 13 13 14 15 18 22 26 28 29 31 31 32 32 31 31
266 279 298 322 347 372 400 434 470 511 555 598 632 657 673 677 665 635 606 579 554 531 510 487 470 457 447 441 428 412 401 392 372 337 306 272 240 214 197 188 174 159 148 126 121 128 136 136 119 113 106 77 32 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 4 4 4 5 6 7 8 8 9 10 13 15 15 14 14 15 17 20 24 27 30 32 33 33 32 31 31 31 32
206 216 231 251 271 289 307 330 358 394 438 488 539 593 645 685 694 678 653 628 602 577 561 537 512 488 468 455 432 412 399 388 371 335 303 272 240 218 207 186 164 148 140 124 113 109 107 103 93 90 84 61 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 3 4 4 4 6 8 9 9 10 12 13 16 17 16 15 16 19 24 28 31 33 34 35 35 34 33 32 31 31 31
166 168 181 196 210 223 235 252 277 311 353 400 456 526 599 659 683 686 680 667 648 622 607 586 561 533 505 478 454 432 413 395 377 344 317 293 264 235 205 181 170 170 163 146 123 103 93 85 79 80 70 38 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 0 0 0 0 0 0 0 0 0 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 2 3 4 5 7 9 10 10 12 15 17 18 17 16 15 19 25 30 34 36 36 37 37 36 35 33 32 31 31 32
134 134 139 149 162 177 193 208 230 259 289 324 365 424 501 581 623 644 653 652 643 622 603 588 576 567 551 523 491 461 434 414 397 376 353 328 287 256 235 226 219 200 177 153 128 103 86 76 69 62 44 15 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 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 4 6 10 12 12 13 15 19 20 19 18 17 20 25 31 35 37 37 37 37 38 37 35 34 32 31 32 33
102 98 100 107 119 134 153 173 191 206 223 249 288 348 426 497 553 593 603 594 578 560 545 537 541 562 571 567 552 525 482 453 427 401 380 368 325 294 270 248 227 211 192 169 142 110 79 67 61 51 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 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 5 8 11 13 13 15 18 21 22 20 20 22 27 34 38 38 37 36 36 37 38 37 37 35 33 32 31 32
70 66 67 72 81 95 113 129 141 150 165 201 250 303 356 407 455 460 450 470 479 461 449 444 438 484 528 562 576 570 531 501 471 439 406 385 359 336 317 300 277 239 207 177 146 110 74 56 48 41 25 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 0 0 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 9 12 14 14 16 20 23 23 22 23 27 33 38 39 38 37 37 38 39 40 39 38 35 32 30 28 29
45 41 42 46 57 68 78 88 95 109 134 181 242 305 353 345 376 398 390 382 349 330 332 344 341 360 391 436 484 512 519 518 510 490 458 426 395 365 334 293 254 229 209 183 146 107 66 41 32 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 11 13 13 15 18 21 23 25 24 27 31 36 37 38 38 38 38 39 40 41 40 38 35 31 28 26 27
33 31 29 32 39 48 53 57 60 81 114 161 216 277 355 352 350 359 357 335 295 275 270 262 247 231 250 291 324 370 417 457 482 489 473 457 431 393 341 276 249 234 218 186 139 92 51 25 17 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 11 12 13 16 19 23 26 27 27 30 33 35 37 36 37 37 38 39 40 40 37 35 32 29 27 27 27
33 30 29 28 31 34 38 41 46 65 95 132 175 223 263 287 311 338 362 367 338 295 255 224 196 171 166 179 203 240 291 341 379 394 412 433 440 417 359 289 245 221 205 170 123 76 35 9 2 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 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 4 6 8 11 13 14 13 14 16 19 23 27 28 29 31 34 37 38 38 39 38 38 38 38 37 34 30 28 28 27 27 26
36 31 31 31 30 30 33 37 44 59 81 108 143 185 228 270 308 341 368 390 389 372 343 274 222 191 172 154 149 150 177 221 256 271 295 320 351 386 354 313 272 241 222 174 120 66 23 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 15 15 15 15 16 18 21 25 27 29 31 34 36 38 39 40 39 39 37 35 33 30 28 27 27 27 26 25
41 37 36 37 37 38 41 44 49 59 75 96 118 145 181 219 255 302 339 371 391 396 380 343 300 255 214 179 151 121 110 118 113 112 131 169 215 248 264 256 249 262 259 214 150 78 16 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 11 14 15 16 16 16 16 17 19 20 23 26 28 31 34 36 38 39 39 38 37 35 32 30 28 27 26 26 25 24 23
48 46 44 47 50 54 57 57 58 64 76 92 100 120 153 187 201 245 294 338 376 408 423 420 385 331 272 206 155 112 81 62 44 31 32 54 103 135 142 139 146 203 224 224 190 122 39 17 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 8 11 14 16 17 17 17 18 18 21 22 23 24 27 31 33 35 37 39 38 36 35 33 32 30 29 28 26 25 24 23 21
53 56 58 63 69 75 76 74 73 77 86 95 106 124 154 187 192 225 267 310 351 399 428 431 416 386 337 248 166 103 62 36 18 6 1 4 28 59 86 87 62 83 121 180 216 173 86 34 8 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 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 5 5 6 8 10 12 12 13 15 16 17 18 20 22 23 25 27 29 32 35 38 39 38 36 36 35 33 30 29 28 26 24 23 21 19
52 62 69 77 86 94 98 97 97 98 100 107 122 141 162 188 206 233 264 295 320 355 388 415 430 427 382 302 220 147 83 37 18 11 6 0 4 11 19 23 12 18 34 59 86 101 94 57 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 5 5 6 7 7 9 10 11 12 13 14 15 18 20 22 24 25 27 30 32 35 35 35 35 35 34 33 31 29 27 24 22 20 19 18
44 55 67 80 94 107 117 121 120 119 118 124 139 158 178 197 219 243 267 289 300 318 342 370 398 420 397 354 305 254 181 113 74 57 46 17 9 6 4 5 4 3 4 11 32 68 74 52 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 9 9 10 12 13 15 17 19 22 23 24 25 27 29 31 31 31 31 31 31 29 27 24 21 19 17 18 18
35 44 56 70 88 109 125 133 136 135 136 144 158 176 196 216 235 253 270 288 297 305 319 337 356 379 381 370 352 332 279 218 166 132 117 78 50 30 16 5 1 0 0 1 4 4 3 5 9 5 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 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 3 4 6 6 7 7 8 10 11 13 15 17 18 20 22 24 26 27 26 26 25 25 25 26 26 24 22 20 19 19 18 18
29 35 43 55 74 98 117 130 137 143 151 164 182 202 222 240 255 268 280 292 298 303 311 322 330 340 348 350 344 332 308 275 235 189 165 132 98 68 47 25 11 4 1 1 0 0 0 2 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 6 7 8 9 10 11 13 14 15 16 18 21 24 25 24 23 23 22 23 23 23 22 21 20 19 19 18 17
27 30 36 45 57 76 92 108 122 140 155 172 192 215 240 258 274 292 307 303 295 294 300 306 309 309 308 305 302 297 289 275 250 212 178 145 114 87 69 49 32 20 10 7 3 1 1 2 5 6 6 4 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 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 2 2 4 6 7 9 10 9 10 10 11 12 13 15 18 20 22 22 21 21 22 23 23 21 20 20 19 18 17 16 17
25 27 30 34 42 54 67 80 91 110 129 149 172 199 219 237 261 293 320 296 282 276 272 273 270 262 253 248 244 242 239 233 223 193 163 133 103 76 65 53 42 31 18 13 8 3 1 1 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 6 8 9 10 11 12 12 13 13 14 16 18 18 19 20 19 20 20 19 19 19 18 17 16 16 17 18 18
23 24 27 29 32 38 45 52 61 73 87 105 124 146 156 171 198 239 262 280 279 258 226 219 210 199 188 182 178 175 174 173 165 148 126 101 75 50 40 38 39 40 14 11 10 5 1 1 3 5 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 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 1 2 4 5 5 6 8 9 10 11 13 14 14 15 16 17 18 19 19 19 20 19 19 18 17 17 17 17 17 18 19 20 20
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