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 19 17 15 13 12 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 9 9 10 12 12 13 13 12 12 11 11 10 9 9 8 9 12 15 16 15 9 6 8 9 10 11 11 10 10 11 14 19 22 22 19 17 14 13 11 11 10 9 9 9 8 8 8 8 8 9 9 10 11 13 14 14 14 13 13 12 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
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nan 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 11 11 12 12 14 16 17 18 18 16 15 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 10 13 15 17 19 20 21 23 25 27 29 31 32 33 33 32 29 25 20 16 10 3 -1 -3 -6 -9 -11 -12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
435 437 439 435 423 408 399 393 387 386 386 383 376 372 360 347 332 316 302 290 274 261 249 238 226 214 204 194 188 186 184 181 177 174 173 171 168 163 158 152 140 118 95 79 69 61 48 24 11 5 3 8 16 16 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 1 2 2 2 4 6 6 7 9 12 15 18 20 14 8 5 7 14 26 27 25 21 15 10 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 1 2 3 5 7 9 11 13 15 16 18
490 482 472 458 443 429 418 401 391 391 396 399 391 389 384 375 363 352 341 329 314 300 287 275 262 248 237 225 213 201 194 186 179 176 177 176 171 165 161 158 153 135 109 88 76 69 57 32 15 6 1 2 9 11 11 8 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 1 1 1 0 1 2 3 4 3 1 1 0 1 3 6 6 6 5 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 1 2 3 4 5 8 10 12 14 15 16 19 21
561 550 538 519 493 460 431 406 393 394 401 400 384 383 384 382 374 367 364 355 344 332 320 308 296 282 269 256 240 224 210 197 186 178 178 180 174 167 161 159 157 143 114 89 75 65 55 39 21 9 3 1 3 6 9 10 7 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 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 0 0 0 0 0 1 1 2 3 5 6 8 10 12 14 15 16 18 22 23
588 580 575 572 559 513 480 456 445 437 420 404 384 368 359 359 366 356 365 368 363 355 346 333 320 306 293 280 266 254 235 215 199 186 178 177 174 169 163 159 154 143 116 89 71 57 48 41 31 20 10 2 1 2 6 11 10 7 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 0 0 0 0 0 0 0 0 0 0 0 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 6 8 10 12 15 16 16 18 21 24 24
563 559 556 552 547 536 519 501 493 488 470 454 440 432 417 386 381 385 392 394 390 381 371 354 335 318 303 290 273 259 245 232 219 203 186 175 168 162 155 144 139 134 121 99 76 53 42 38 34 27 18 6 2 1 4 8 10 9 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 0 0 0 0 0 0 0 0 0 0 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 3 4 6 8 10 12 14 17 17 17 20 24 25 23
544 546 547 545 536 523 516 506 497 495 495 493 489 488 493 503 488 480 480 477 463 439 415 388 359 331 309 298 291 282 271 261 250 231 206 180 159 146 134 118 120 123 121 110 88 59 43 36 33 29 22 9 3 1 2 4 7 8 7 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 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 9 10 12 17 18 18 18 21 25 24 23
509 529 545 554 552 536 524 512 503 497 498 502 499 493 492 504 513 521 528 531 525 501 474 447 419 389 361 353 344 330 315 302 284 260 229 195 164 139 116 109 108 109 108 107 88 65 47 35 29 27 20 10 3 1 1 1 2 3 6 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 0 0 0 0 0 0 0 0 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 3 6 7 8 10 12 15 18 18 18 19 22 24 25 24
442 476 507 532 542 541 536 529 524 522 518 514 506 495 488 484 484 502 523 535 538 531 521 504 481 455 440 426 407 384 363 346 321 291 255 217 182 147 121 110 105 97 83 88 78 62 46 33 22 17 12 7 3 2 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 10 12 14 17 19 19 18 19 22 25 25 25
358 398 425 442 461 483 503 520 536 549 547 542 537 532 529 526 518 525 542 555 563 567 562 548 528 506 491 475 457 435 410 388 358 324 285 243 198 157 129 112 102 90 70 77 78 71 58 43 21 11 5 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 11 13 15 18 20 19 18 19 23 25 25 25
303 322 331 355 384 413 443 473 504 527 542 558 572 582 586 590 592 593 597 604 614 623 618 598 572 548 534 518 499 474 444 415 385 353 317 276 219 169 138 122 116 104 89 87 96 103 96 77 47 23 10 5 4 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 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 8 10 12 13 15 18 20 18 18 20 23 25 25 24
249 259 272 307 343 375 399 421 443 463 484 511 546 584 594 602 611 622 631 633 646 654 649 626 593 567 547 532 516 493 464 436 409 382 350 311 256 200 162 149 153 148 132 121 124 140 142 122 87 55 32 19 12 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 0 0 0 0 0 1 1 1 2 3 5 5 6 7 9 10 12 12 14 18 19 19 19 19 22 24 25 24
209 219 242 277 319 355 372 380 390 407 433 471 519 548 567 583 598 614 633 644 661 672 666 641 609 587 569 551 533 508 482 456 432 408 381 347 302 252 216 202 202 201 195 187 179 174 165 145 123 98 73 54 34 15 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 0 0 0 0 1 1 2 3 4 5 6 8 8 10 11 12 12 13 16 18 19 19 18 20 22 24 25
165 178 204 243 291 333 343 346 357 378 409 447 488 518 544 566 587 606 635 656 677 690 692 678 648 618 592 569 547 525 501 473 444 418 403 381 350 315 286 268 259 257 256 252 241 219 198 181 163 142 119 98 74 50 27 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 0 0 0 0 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 5 5 8 9 9 10 12 12 13 14 16 18 19 20 21 22 24 24
110 117 143 185 233 273 286 296 318 352 392 425 461 494 518 536 553 569 600 627 646 653 651 652 641 622 602 585 574 562 540 510 482 461 448 420 393 370 349 330 311 302 300 299 289 266 240 217 197 175 154 134 115 98 78 40 14 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 1 1 2 3 3 4 6 6 8 9 9 8 11 12 13 14 14 16 19 20 21 20 21 23
71 72 87 117 154 187 209 231 268 315 361 391 420 448 466 476 493 513 537 557 570 579 583 593 598 597 596 605 614 613 597 572 546 534 518 480 439 412 392 374 352 336 329 326 321 306 282 253 226 202 181 161 147 138 131 93 38 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 1 1 2 2 3 3 3 5 5 6 7 8 9 8 9 11 12 12 12 14 16 18 18 17 18 20
46 47 59 78 99 122 146 166 198 247 293 317 331 350 369 382 412 447 474 489 497 514 521 528 535 544 563 593 620 637 637 619 587 561 534 502 469 440 417 397 378 363 351 338 327 316 300 280 259 238 213 190 174 165 161 131 62 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 1 1 1 1 2 2 3 3 2 3 4 5 5 6 6 7 8 9 9 8 9 9 10 11 14 14 14 14 16
36 40 50 62 75 95 118 136 155 180 210 239 255 262 268 276 307 346 378 400 422 446 465 477 486 499 525 560 597 630 647 635 593 559 529 507 486 468 444 422 404 389 376 355 333 316 306 298 285 269 244 217 193 176 168 136 76 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 3 3 4 3 3 4 4 5 6 7 7 7 6 7 7 7 6 6 7 8 10 11 13 15
35 42 50 55 60 85 106 120 130 144 175 205 221 224 222 218 229 249 272 298 329 370 404 434 456 472 495 528 560 587 605 596 580 572 564 550 525 510 487 463 441 423 407 386 364 344 330 322 303 285 263 235 205 176 153 113 57 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 1 3 3 3 4 5 5 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 1 1 1 1 2 2 2 3 3 4 4 4 4 4 5 6 7 7 8 5 5 5 4 4 4 5 6 8 9 11 14
26 38 47 47 53 76 96 112 130 157 186 206 219 225 222 209 203 207 217 230 249 288 332 367 392 416 451 485 509 527 551 563 572 582 590 592 576 549 522 497 478 465 442 419 397 377 360 348 325 300 275 249 224 194 156 106 44 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 1 3 6 10 13 13 14 14 13 10 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 1 1 1 1 1 2 2 2 2 2 4 5 5 5 4 4 5 6 7 7 8 6 5 3 2 2 3 4 5 7 8 10 12
17 27 39 46 56 71 88 108 127 155 177 197 214 225 227 215 204 200 203 210 223 245 272 294 305 326 361 390 415 444 478 506 527 546 562 568 561 547 529 512 499 481 456 433 412 396 378 355 328 300 278 268 256 233 191 127 38 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 1 3 5 7 10 14 15 16 17 16 9 3 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 2 2 3 4 5 6 6 6 5 4 5 5 6 7 7 6 5 3 2 2 2 2 3 4 6 8 10 12
15 22 33 44 54 68 90 119 139 156 172 188 202 209 216 209 198 190 189 199 213 226 236 240 238 239 258 281 303 332 373 424 466 490 505 522 534 537 529 510 488 461 435 413 395 387 365 340 315 294 279 278 275 264 234 173 49 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 1 2 3 4 6 8 9 11 13 9 4 1 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 2 2 2 3 4 5 5 6 6 6 5 5 6 7 7 8 7 5 3 2 2 2 2 2 2 4 6 8 11 13
19 24 33 42 53 70 95 127 152 167 177 184 188 186 193 190 180 170 173 185 197 210 222 224 216 212 217 224 228 243 274 317 366 412 446 482 509 520 516 493 464 429 392 365 361 354 341 326 311 298 291 288 284 277 263 214 104 35 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 1 1 1 1 1 2 2 4 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 4 4 6 6 6 6 6 5 5 5 6 8 9 10 8 4 2 2 2 2 2 2 3 4 6 9 12 14
26 32 39 44 50 61 78 102 123 138 147 151 156 158 166 171 172 168 172 185 200 214 224 221 213 208 204 201 195 199 211 231 264 306 353 399 431 445 451 446 432 404 368 338 335 333 331 327 321 318 315 306 292 278 279 238 152 62 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 1 1 1 1 1 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 3 3 3 4 5 6 6 6 6 6 6 5 6 8 10 10 10 11 8 4 3 4 4 4 4 3 4 5 7 9 12 16
31 37 43 48 51 54 57 64 75 87 98 107 112 121 133 143 149 154 163 175 191 207 217 212 205 198 189 178 168 172 179 189 205 226 255 293 325 344 361 374 383 375 347 332 328 330 332 334 336 339 335 324 306 286 288 245 155 53 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 3 3 3 3 3 4 4 5 5 6 7 7 7 6 6 7 8 10 10 10 10 9 8 7 7 8 7 6 6 5 6 7 8 11 15 19
35 38 43 48 50 52 52 51 53 57 64 75 83 94 102 106 104 109 119 132 149 173 182 185 183 178 172 165 161 163 168 175 187 198 209 224 242 256 271 295 322 339 336 330 332 334 333 333 338 341 336 322 302 295 283 217 111 18 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 1 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 2 3 3 3 3 3 3 3 3 4 5 6 7 7 8 8 7 8 9 10 9 9 9 9 10 10 11 11 11 10 8 8 7 7 8 11 13 16 20
36 39 41 43 45 45 44 41 40 43 49 57 64 70 74 73 67 65 67 74 90 117 133 144 151 154 156 157 155 154 157 164 177 184 189 193 197 203 216 246 282 305 316 327 334 335 332 333 335 332 320 299 280 274 249 170 50 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 1 2 2 2 3 2 1 1 2 2 3 3 3 3 3 4 3 3 4 5 6 7 7 7 7 7 7 8 9 8 8 8 9 11 12 13 14 14 13 12 10 9 9 9 12 14 16 19 23
32 31 31 32 34 35 34 32 32 36 43 51 58 61 59 55 54 55 48 43 53 68 79 92 109 128 139 148 153 155 156 162 175 180 180 176 175 182 193 209 226 241 254 272 293 314 330 339 335 322 303 279 263 253 226 154 33 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 1 3 3 2 2 4 3 2 1 1 2 3 3 3 3 4 4 4 4 5 6 6 7 6 6 6 6 7 8 8 8 8 9 10 12 13 14 15 15 14 13 11 11 11 12 14 17 20 23 27
21 19 18 20 23 27 29 29 31 36 45 53 58 60 57 54 52 51 48 44 53 62 64 66 74 95 115 134 147 153 157 168 179 183 178 166 161 167 176 183 187 187 196 218 248 281 312 326 319 301 284 266 256 252 222 141 49 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 1 1 0 1 2 2 2 0 0 1 2 3 2 3 3 3 3 3 4 5 5 6 4 4 5 6 7 7 7 7 7 8 9 11 11 12 15 16 15 13 13 14 15 16 18 21 25 28 30
12 10 10 11 16 24 29 31 35 40 49 55 58 59 58 59 63 69 71 65 71 90 83 53 30 42 66 96 121 138 152 164 175 180 176 164 158 158 160 160 158 157 166 185 212 244 276 287 279 264 253 248 249 252 236 159 64 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 1 0 0 0 0 1 1 2 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 9 11 13 16 16 15 15 16 17 19 20 22 25 27 29 29
7 7 9 11 18 23 28 32 36 40 47 53 59 64 68 65 68 73 76 74 84 105 109 91 79 55 33 32 54 76 98 119 139 154 156 155 154 152 149 146 146 147 154 168 189 214 233 239 234 226 224 228 236 243 243 199 111 43 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 2 3 4 4 4 4 4 5 6 6 7 8 8 9 12 14 16 17 17 18 20 21 21 21 23 26 28 28 28
8 8 10 13 18 22 25 29 33 36 40 45 52 59 61 61 61 63 66 73 83 96 111 128 126 83 44 26 23 27 34 44 60 85 94 106 120 133 140 139 140 143 150 161 176 192 201 204 202 198 201 210 219 226 226 216 152 72 21 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 1 2 2 3 3 4 5 6 7 8 8 9 10 12 14 16 17 18 20 21 21 21 22 24 26 28 29 30
14 12 14 15 17 19 21 24 29 34 38 40 40 46 50 50 50 52 55 60 69 78 88 105 123 133 115 75 50 39 27 21 24 31 37 56 82 105 119 124 128 132 136 145 157 168 176 180 182 180 185 194 203 209 207 204 167 94 24 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 1 1 1 2 2 3 5 6 7 8 9 10 11 13 14 15 16 17 19 21 22 22 22 24 26 28 29 30 31
19 19 21 21 19 18 20 24 29 32 31 27 25 30 31 32 35 42 45 50 56 62 69 80 97 101 94 84 82 74 58 46 55 49 40 34 40 68 80 92 100 105 106 114 124 136 150 162 167 170 177 187 195 197 194 185 156 96 18 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 4 5 7 8 9 10 11 13 15 16 17 17 19 21 22 23 23 23 25 27 29 30 31 32
19 23 27 25 21 18 19 22 24 26 26 25 21 19 17 17 19 27 32 39 45 49 54 66 82 94 101 106 100 96 87 73 77 77 75 67 50 38 45 51 57 74 82 88 95 106 121 141 151 159 166 174 178 179 177 170 151 106 39 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 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 7 9 11 12 12 13 15 17 18 18 19 20 21 22 23 23 23 25 27 29 30 32 34
20 23 26 24 18 13 12 13 12 11 10 9 8 9 9 9 12 17 24 31 37 41 43 53 66 78 85 86 80 81 85 84 88 90 90 89 78 69 63 45 28 47 53 60 68 76 89 105 119 131 140 148 153 158 164 168 164 113 58 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 12 13 14 15 16 17 17 18 19 20 21 22 23 24 24 25 27 30 32 34 36
20 20 22 18 12 7 5 6 6 6 6 6 5 6 6 8 12 14 17 22 29 37 42 48 54 60 63 63 62 63 68 72 76 77 76 74 67 57 57 53 38 35 28 29 38 50 62 76 89 100 106 115 124 137 153 171 175 134 79 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 12 14 15 16 17 17 17 17 19 19 19 20 22 24 25 25 26 28 30 33 36 38 39
11 14 14 11 8 5 3 4 5 6 7 6 6 6 7 9 11 12 14 16 21 30 37 42 46 48 47 46 46 46 50 51 52 50 47 46 42 36 37 41 40 37 26 17 15 18 32 49 63 74 77 84 94 107 125 152 170 154 105 33 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 1 1 2 2 3 5 6 8 10 12 14 15 16 16 16 17 17 16 17 18 19 20 22 24 26 27 29 31 34 37 39 40 40
5 7 7 6 6 3 2 3 5 4 3 3 4 5 6 8 11 13 14 15 18 24 31 37 41 42 41 39 35 32 35 36 36 34 31 27 25 22 20 20 22 22 19 16 13 14 17 23 33 46 53 61 69 80 95 123 151 163 142 66 30 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 8 10 12 13 14 16 16 16 16 16 16 16 16 17 19 20 22 24 25 28 30 32 34 36 37 38 37
6 5 4 4 3 3 2 1 1 1 1 2 3 4 5 7 10 12 15 18 20 25 31 37 43 45 44 40 34 30 29 28 28 28 27 25 21 17 13 12 12 12 12 12 13 14 12 13 20 32 43 51 58 65 73 96 128 159 164 109 61 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 6 7 9 11 12 12 13 14 15 15 15 15 14 13 14 16 18 20 21 22 25 27 29 31 33 35 35 35 36
3 3 2 2 0 1 2 2 2 1 0 1 2 3 4 7 10 13 16 20 22 27 33 39 45 48 45 40 34 29 24 22 21 22 21 19 16 14 11 10 9 8 8 8 9 11 15 18 21 29 40 49 55 58 63 75 101 144 156 136 93 42 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 1 2 3 4 4 5 6 7 9 10 11 11 12 13 14 14 13 13 13 13 15 16 17 19 20 23 24 26 29 32 33 34 34 34 34
1 0 0 0 0 0 1 2 2 0 0 1 2 3 4 9 13 16 20 21 22 26 32 38 42 44 41 36 33 28 24 21 18 18 16 14 13 10 9 7 6 6 6 6 6 7 9 12 15 21 29 38 48 52 54 59 73 112 138 144 120 63 22 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 1 1 2 2 3 4 4 5 5 6 7 9 9 10 12 13 13 13 12 12 12 14 16 16 16 18 20 22 23 24 26 31 32 32 33 34 34
0 0 0 0 0 0 0 1 1 1 1 2 2 3 5 9 14 19 22 20 20 23 28 33 36 38 38 35 31 27 24 21 19 16 15 13 12 9 7 6 5 5 4 4 4 5 5 6 8 11 15 20 26 34 39 41 47 66 83 102 113 75 39 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 1 1 1 2 2 2 3 4 4 5 5 6 7 8 10 11 12 12 11 11 11 13 14 15 15 16 17 19 21 23 25 26 28 30 32 33 34 35
0 0 0 0 0 0 0 0 1 1 1 2 2 3 6 11 16 19 21 22 23 24 26 30 32 34 34 31 28 26 24 21 18 16 15 13 11 9 6 5 4 4 3 3 3 2 3 3 4 5 6 8 10 15 19 22 24 27 31 42 64 53 37 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 7 8 10 11 12 11 11 11 12 13 14 15 15 16 18 20 23 25 27 27 27 28 30 32 33 34
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