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 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 10 11 12 13 13 13 12 11 11 10 10 9 9 8 7 6 6 6 7 9 11 12 12 10 9 8 8 8 9 9 10 9 9 10 9 9 10 10 10 10 10 9 10 10 10 10 12 17 20 18 11 4 4 8 10 10 10 9 9 11 15 21 23 20 14 11 10 10 11 11 11 10 9 8 9 9 10 9 9 9 9 9 8 7 7 9 12 14 15 16 15 13 11 10 9 9 9 9 9 9 8 7 7 9 11 12 12 11 12 12 12 11 10 8 7 6 6 5 5 5 4 4 4 5 7 8 9 9 9 8 8 8 8 9 9 11 12 13 13 14 15 14 15 nan
nan 6 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 9 10 11 11 12 12 13 13 12 12 11 11 10 10 9 8 7 6 5 6 8 9 10 11 10 9 8 8 9 10 10 9 9 9 10 11 11 10 10 10 11 10 10 10 9 9 10 12 16 18 15 7 3 5 8 10 10 10 10 11 13 17 21 22 19 15 13 11 11 12 11 10 9 8 8 9 10 10 10 9 10 10 9 8 7 7 9 11 12 12 13 12 11 10 9 9 9 9 9 9 8 8 6 6 7 9 10 10 10 9 9 9 8 8 7 6 6 5 5 6 6 5 5 5 5 6 7 8 9 9 8 8 8 8 8 8 9 10 10 11 12 12 12 12 nan
nan 6 7 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 10 11 11 11 13 13 13 13 13 12 10 10 10 9 8 7 6 6 7 9 10 10 10 9 8 8 9 10 10 9 8 9 10 12 12 12 12 12 12 11 10 9 9 8 8 10 13 16 13 8 5 6 9 11 11 11 12 15 17 17 17 17 18 18 16 14 12 12 11 10 9 8 9 9 10 10 10 10 10 10 9 8 6 7 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 6 5 5 7 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 nan
nan 7 8 9 9 9 8 8 9 9 8 8 8 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 10 9 8 7 7 7 8 9 10 10 9 8 9 9 10 9 9 8 9 11 13 14 13 12 12 12 12 11 9 9 8 8 10 12 15 14 11 8 8 10 11 11 11 14 17 19 15 11 13 18 21 20 16 14 12 11 9 8 8 9 9 10 10 10 10 10 10 9 7 6 7 8 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 5 4 5 5 6 6 6 5 5 4 4 4 4 4 5 5 6 6 7 6 6 6 6 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 8 8 7 nan
nan 8 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 12 13 13 12 12 12 11 11 10 9 8 7 7 7 9 9 9 9 9 10 10 9 9 8 8 9 11 13 14 13 12 12 12 12 11 10 9 9 9 11 13 14 13 11 8 8 10 10 10 11 13 16 15 10 7 10 16 21 21 18 15 13 11 9 8 8 9 10 10 10 10 10 10 10 9 7 6 7 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 nan
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nan 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 11 13 14 15 14 13 11 9 8 8 9 10 11 11 11 10 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 12 14 15 15 15 15 16 16 16 14 12 10 8 5 2 1 0 0 1 1 2 3 4 6 8 10 12 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 12 12 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 10 11 12 13 14 13 13 11 10 9 8 8 8 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 12 12 12 10 8 8 9 12 13 14 14 14 15 16 17 17 17 16 16 14 11 8 5 2 -1 -3 -4 -3 -1 0 1 2 4 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 10 11 11 11 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 11 12 13 13 12 12 11 10 9 8 7 7 9 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 12 10 8 7 8 10 12 13 13 12 13 14 16 17 18 20 21 21 21 18 13 9 4 -0 -3 -3 -3 -3 -3 -4 -5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 5 6 7 9 11 12 15 16 16 15 14 12 10 8 8 9 13 21 53 139 274 390 446 460 438 416 439 503 583 661 723 775 823 856 852 799 719 638 566 507 466 438 437 437 425 436 547 594 612 611 577 499 401 357 336 335 337 321 300 285 280 286 305 336 366 406 435 447 437 393 332 285 237 185 135 103 77 58 46 42 41 30 18 8 3 2 2 3 12 31 60 96 124 137 137 137 149 172 178 162 116 82 99 182 314 476 671 867 998 1018 937 916 991 1106 1116 1000 951 906 830 747 733 785 789 805 844 754 796 766 701 611 494 361 225 128 74 51 38 25 14 5 3 2 1 6 16 23 22 27 71 140 262 370 447 507 613 603 606 635 721 551 741
6 6 6 6 6 6 7 9 11 14 16 16 15 13 11 9 9 9 13 18 51 137 257 367 439 435 410 404 432 481 544 611 677 747 817 865 850 792 722 654 588 521 474 456 450 436 415 481 547 593 624 622 551 450 383 350 349 359 339 323 311 307 316 334 365 394 432 472 496 474 409 350 299 249 197 152 125 104 88 74 62 47 31 17 7 2 3 6 9 15 27 51 84 105 114 114 115 125 139 129 101 68 63 117 261 446 676 906 1046 1022 931 848 821 861 910 840 779 753 728 667 614 590 543 437 391 519 496 468 398 318 265 205 149 98 63 45 37 22 11 5 4 4 2 2 18 42 57 55 26 34 74 144 240 315 333 400 441 432 455 390 339 406
6 6 7 7 6 7 7 7 8 10 13 16 17 16 14 12 11 10 10 13 22 56 128 236 373 420 417 400 390 402 440 505 582 664 753 828 853 824 774 728 679 610 536 486 455 430 405 438 490 545 590 603 562 490 422 378 364 366 356 346 341 344 356 364 388 420 452 489 537 495 418 349 299 259 213 179 155 135 115 94 76 51 30 18 14 7 11 15 16 18 27 46 67 82 90 87 84 96 98 86 67 54 72 187 377 593 813 1000 1016 914 791 698 674 723 730 678 634 618 632 585 503 434 349 254 188 199 210 186 124 67 52 40 27 19 16 15 6 3 2 3 5 4 3 3 15 38 64 58 32 17 23 50 93 128 154 162 166 222 264 266 276 310
7 8 8 9 9 8 8 8 7 7 10 15 17 18 17 15 13 11 10 12 15 24 48 115 261 364 410 410 387 391 403 444 510 591 680 765 811 816 798 781 761 704 619 534 464 410 403 442 503 552 562 556 542 507 461 419 392 381 378 375 375 383 397 408 416 442 471 488 532 493 408 334 292 263 226 192 162 144 136 114 89 61 42 34 33 26 27 26 23 22 33 42 50 58 57 48 59 72 73 64 54 62 131 293 507 700 821 889 843 707 573 500 517 577 595 591 558 533 569 528 408 295 228 140 77 59 60 52 26 8 4 3 3 4 9 9 5 3 3 4 5 5 4 3 6 18 48 51 40 22 7 20 44 63 71 77 66 116 155 179 192 209
7 8 9 10 10 9 9 9 7 6 9 13 16 19 20 19 16 14 12 11 12 15 21 51 150 272 378 429 408 398 399 420 468 541 616 696 755 788 799 796 805 775 701 595 482 404 398 451 518 552 538 503 506 500 476 443 405 391 389 396 404 417 432 439 429 432 463 480 487 457 381 305 273 252 223 192 165 152 152 130 100 77 67 63 62 56 47 37 30 28 33 31 29 26 25 25 44 58 59 54 53 82 186 376 582 703 708 646 528 411 335 318 359 420 434 409 408 461 480 433 331 220 144 85 49 31 23 17 11 6 4 3 4 6 9 7 5 5 5 4 4 4 3 3 4 14 36 55 64 47 33 30 28 24 21 33 32 46 63 78 87 89
8 9 9 10 10 10 10 9 7 6 7 10 12 15 19 21 19 16 14 12 12 13 17 29 77 171 304 413 423 417 410 414 440 500 561 629 692 742 775 789 817 819 772 669 518 425 409 455 519 550 508 439 437 465 474 443 399 371 358 367 399 426 439 439 432 439 468 478 474 424 343 276 254 240 217 196 184 171 148 127 104 86 79 81 81 71 55 41 31 28 24 16 9 7 8 20 42 56 57 61 67 99 205 388 578 626 534 412 293 212 182 194 238 283 293 279 309 364 359 306 233 150 90 57 39 28 20 16 15 15 13 10 8 7 6 5 4 4 4 5 4 4 3 3 3 13 36 66 90 76 57 35 16 7 8 8 8 11 17 21 24 27
8 8 9 10 11 10 9 8 6 5 5 7 8 10 14 18 19 18 16 14 13 13 16 21 37 83 194 328 399 423 417 406 414 455 502 556 616 679 721 756 800 830 819 738 563 459 424 445 493 515 445 378 365 402 438 415 376 359 370 395 414 409 412 417 429 459 476 464 457 397 292 243 244 240 224 199 168 127 104 100 94 81 71 69 67 60 48 35 25 23 18 11 4 4 11 27 47 56 52 43 43 90 208 379 520 495 370 234 143 99 104 125 150 165 169 176 186 215 213 189 172 137 95 61 41 32 27 27 30 30 25 15 12 10 8 6 5 4 4 4 4 4 3 3 3 7 17 40 71 76 57 23 2 0 0 0 0 1 2 2 3 5
8 8 9 10 10 9 8 7 5 3 3 3 4 5 9 13 17 18 17 15 13 13 15 18 24 43 100 216 335 408 417 399 397 411 437 478 536 607 665 722 778 825 844 751 575 440 372 371 411 420 374 322 299 316 353 363 359 355 355 356 379 374 373 389 422 452 466 439 380 311 245 227 239 238 216 182 148 121 99 86 80 71 60 52 43 35 33 27 18 17 17 13 10 11 16 29 44 52 46 39 48 101 209 357 432 375 252 135 73 68 78 91 99 99 95 97 107 117 127 144 145 133 105 74 53 44 42 44 45 42 34 21 14 10 8 6 5 5 4 4 5 5 5 4 3 3 3 18 42 61 65 33 14 4 1 0 0 0 0 0 0 0
7 8 9 10 10 9 8 6 4 3 2 2 3 4 6 8 13 16 17 16 15 13 14 17 21 29 56 124 251 374 411 404 391 383 383 400 451 528 606 683 755 815 841 723 548 385 273 230 268 286 278 261 247 240 274 307 326 332 338 346 359 346 336 356 398 424 430 400 338 277 238 221 224 218 188 156 147 126 102 81 69 58 49 36 23 14 12 11 8 10 15 16 12 15 18 24 37 45 43 44 58 97 179 304 359 314 209 105 57 58 68 75 76 69 62 63 72 87 103 112 122 121 106 79 67 61 62 62 57 46 34 22 14 11 12 10 7 6 5 4 7 7 6 5 5 2 4 11 22 39 65 48 29 14 5 3 2 1 0 0 0 0
6 6 9 9 9 8 7 5 3 2 1 1 1 2 4 5 9 13 16 17 16 14 14 16 19 24 37 65 158 305 388 408 398 377 359 358 390 451 533 627 721 795 798 691 517 318 146 137 163 189 205 212 209 196 217 249 289 335 358 325 304 298 309 333 365 383 373 335 289 247 230 226 220 197 152 115 118 111 93 79 55 40 33 28 20 9 5 8 10 13 17 21 21 19 18 21 31 32 36 46 59 78 123 227 286 269 197 110 65 57 66 74 68 67 68 66 65 73 89 106 124 133 126 94 83 80 78 71 60 41 25 14 9 8 8 6 6 6 7 7 6 6 6 5 4 3 4 6 11 26 56 71 62 27 15 8 3 2 2 1 0 0
4 5 7 8 8 8 7 6 3 2 1 0 0 1 3 4 7 10 14 17 17 16 15 16 18 23 30 43 96 223 339 401 413 392 362 344 353 391 460 555 657 733 737 651 496 309 145 126 131 146 161 168 164 159 175 214 276 358 361 322 285 269 288 285 306 304 276 249 246 236 240 244 239 225 222 198 155 118 102 107 80 51 30 21 21 12 9 12 18 24 23 21 20 19 19 21 34 37 40 45 53 69 97 158 209 208 154 91 65 64 73 79 76 78 78 74 69 68 80 97 114 132 143 117 101 94 83 65 46 25 11 6 5 4 3 3 4 6 9 10 11 10 8 5 5 6 6 8 11 28 59 85 88 49 22 10 8 11 8 3 1 0
3 4 5 6 7 8 7 6 3 1 0 0 1 1 2 4 6 8 10 15 17 16 16 16 18 22 28 39 66 149 281 375 414 408 378 350 341 355 406 493 588 662 677 621 495 322 201 148 132 136 144 140 134 139 162 205 266 329 335 304 255 212 247 250 253 248 238 228 223 234 251 265 270 276 279 260 229 208 190 181 140 88 42 16 16 12 9 11 18 30 29 25 22 21 19 19 28 32 30 29 39 56 82 113 137 135 111 89 77 78 87 87 86 84 80 72 64 63 75 93 113 125 128 113 92 75 51 34 16 5 2 2 3 3 3 3 4 5 6 7 8 9 8 7 9 12 13 15 23 46 81 111 95 61 33 17 14 12 7 4 4 3
4 6 7 7 8 8 7 5 3 2 2 3 1 2 3 4 4 5 7 11 15 17 17 14 17 21 27 35 49 93 218 328 392 412 398 367 340 341 377 443 524 604 640 600 482 336 242 194 168 145 135 127 126 136 158 194 243 288 307 290 240 179 196 207 203 190 189 189 206 232 264 296 295 304 302 297 307 331 298 244 174 101 46 12 8 6 5 6 11 22 26 24 19 13 9 11 16 24 31 26 36 51 68 81 83 82 80 84 90 103 109 104 96 86 74 68 64 68 77 89 93 104 100 81 55 35 16 7 4 2 2 3 3 3 3 3 3 3 3 3 3 4 5 7 10 13 18 20 29 51 89 112 108 90 62 33 23 15 10 11 12 10
11 13 12 11 10 9 8 5 4 4 5 4 3 4 4 4 4 4 5 8 13 16 16 14 16 20 25 32 41 64 157 267 353 406 407 382 354 344 363 409 470 552 605 583 475 352 274 233 198 146 124 128 141 164 199 207 232 261 277 262 204 146 134 130 124 121 129 154 196 244 292 336 340 346 355 376 404 405 350 263 162 71 18 4 2 3 3 5 7 12 13 13 14 9 8 9 13 18 18 24 38 53 61 65 64 71 84 100 115 128 127 113 94 79 69 68 70 73 78 82 83 78 63 41 20 9 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 6 7 11 15 19 25 41 85 117 126 113 88 56 39 28 23 22 17 14
21 24 22 19 15 12 10 9 7 6 7 5 5 5 5 5 4 3 4 6 9 14 15 15 16 18 22 28 37 56 112 201 303 387 408 398 377 364 373 399 444 510 566 565 489 385 316 271 217 152 119 135 164 181 205 213 218 225 224 194 140 100 78 67 65 86 125 179 242 303 348 388 410 421 427 429 420 388 323 230 117 39 10 3 2 3 4 5 6 8 11 15 15 11 10 11 13 10 19 37 52 59 58 64 73 87 102 119 134 142 135 115 89 77 73 74 76 78 80 70 54 36 19 10 4 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 8 12 15 18 24 43 79 112 127 117 98 78 60 41 23 18 19 18
33 34 32 28 22 17 14 12 10 9 8 7 6 5 5 4 4 3 3 4 7 12 15 16 15 16 19 26 35 50 83 144 252 351 397 406 398 388 391 402 437 488 534 536 471 391 337 303 249 185 137 139 173 183 188 197 202 198 181 134 91 67 62 71 86 115 166 235 311 365 386 401 400 383 361 356 307 260 214 157 63 22 6 3 3 5 9 12 12 10 8 12 15 16 16 15 18 20 31 46 56 62 66 77 90 104 115 132 143 146 136 112 97 85 79 76 72 63 51 36 22 10 2 1 1 2 3 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 6 9 11 16 30 57 85 100 106 107 99 86 72 57 38 29 25 24
46 45 41 35 29 22 19 16 13 13 11 9 7 6 5 5 4 3 3 3 5 10 15 16 15 14 18 24 33 45 64 96 209 315 386 418 419 407 405 414 438 473 505 496 448 399 365 339 294 238 177 145 157 169 175 186 196 195 172 129 93 81 89 101 118 158 207 269 338 349 337 323 301 268 234 198 159 122 86 45 15 5 3 4 6 12 17 18 18 22 25 31 39 41 36 41 47 51 57 64 67 74 84 97 112 123 130 135 136 131 120 97 83 72 64 56 45 33 20 8 1 0 0 1 2 3 4 4 3 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 5 10 31 62 92 103 102 100 96 88 80 71 57 47 42 45
56 52 46 38 31 24 20 18 17 15 12 10 8 7 5 5 4 3 2 2 4 9 14 18 18 16 18 24 31 41 55 79 179 289 378 427 431 422 421 426 439 457 461 447 421 400 391 377 327 268 208 160 136 131 144 170 192 193 167 139 122 119 123 134 166 211 255 286 305 274 229 189 157 123 98 78 58 38 20 5 3 3 4 6 14 26 34 47 70 80 80 81 81 75 60 61 64 68 70 78 76 82 91 100 106 104 104 98 89 80 68 53 41 33 27 18 13 8 4 1 0 0 1 2 2 3 4 4 3 2 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 3 7 11 23 44 70 79 84 89 94 90 85 76 72 73 77 89
61 55 46 35 29 24 21 19 18 15 13 11 9 7 5 4 3 2 2 2 4 8 13 17 18 16 18 23 30 39 51 76 152 263 373 429 435 433 430 430 434 439 427 409 394 390 401 379 329 274 220 165 128 103 112 148 180 185 163 146 141 142 145 155 189 237 278 284 249 200 148 100 60 37 21 13 11 11 7 4 4 5 6 10 24 37 46 51 65 79 75 66 58 49 41 37 37 41 49 51 50 49 50 56 53 44 38 34 32 26 19 10 4 4 5 1 1 1 0 0 0 1 1 1 1 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 2 3 3 8 10 9 10 19 30 39 51 64 78 86 89 92 98 108 119 131
58 50 41 31 27 23 22 21 19 16 14 12 10 7 5 4 3 2 2 2 4 6 10 15 18 18 19 22 28 38 52 76 128 228 358 414 434 438 432 424 426 424 405 383 368 364 379 348 305 258 210 162 126 110 120 149 173 186 175 161 153 146 159 172 201 234 251 231 189 144 101 58 26 11 3 1 1 3 3 4 7 9 12 16 22 30 37 31 25 16 13 15 17 14 10 7 6 6 4 9 13 13 11 10 7 8 8 6 6 4 2 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 2 3 4 9 10 10 10 9 6 9 13 18 26 39 56 72 87 101 113 121 132 144
43 38 32 25 21 21 22 21 19 17 15 12 9 7 5 4 3 3 2 2 3 5 9 14 18 19 19 20 27 37 51 74 116 195 323 396 431 439 427 402 383 367 356 347 335 329 336 312 273 228 187 160 147 150 163 176 179 198 203 197 188 176 170 181 200 211 205 173 135 100 70 38 13 4 2 2 1 1 2 3 4 9 13 13 12 12 13 8 5 2 1 2 4 6 4 1 1 0 0 1 1 2 6 9 7 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 10 12 11 12 11 7 7 8 10 18 27 35 44 57 77 86 91 96 104
30 28 23 18 18 19 21 22 21 19 16 12 9 7 5 4 4 3 2 3 4 6 9 13 17 19 20 21 26 36 49 67 108 190 299 385 427 430 405 374 346 320 296 282 292 300 297 279 247 200 174 167 174 189 201 201 202 210 218 224 225 211 198 186 176 170 161 130 95 67 49 34 19 12 13 14 11 5 2 1 1 3 5 4 3 3 2 2 2 1 1 1 3 5 6 3 3 2 2 1 1 1 4 4 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 7 7 7 8 5 4 5 7 9 13 17 21 27 40 48 52 54 57 63
25 24 21 18 18 20 22 23 22 20 16 12 8 6 5 4 4 3 3 4 6 8 11 15 17 20 22 23 26 34 46 64 100 175 285 374 419 416 386 351 313 274 246 244 264 277 270 248 221 181 166 168 179 193 209 207 205 207 214 221 222 209 187 154 120 106 101 83 56 34 29 32 32 31 34 36 29 17 6 0 0 0 0 0 0 1 1 2 2 1 1 1 2 3 3 4 5 4 3 3 4 4 4 4 3 3 4 3 3 3 3 2 2 2 1 2 2 2 2 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 0 2 3 3 3 3 5 7 9 11 15 19 24 25 25 27 32 37
21 23 24 27 28 26 25 24 22 20 16 12 8 5 4 5 6 6 7 9 11 13 14 18 20 23 24 24 26 34 44 60 91 160 275 366 409 406 374 327 282 250 241 239 252 257 243 213 193 173 164 165 175 196 213 217 214 209 205 201 186 161 128 96 69 58 53 44 26 19 15 16 22 31 45 45 36 22 9 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 3 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 2 3 4 6 7 9 10 11 11 10 10 13 16 16
22 31 36 38 35 28 24 22 21 19 16 11 7 5 6 9 13 16 18 18 18 19 20 21 24 27 28 25 28 35 44 60 90 157 266 355 394 391 354 307 269 250 246 243 235 228 216 193 181 173 173 180 195 220 235 237 230 220 206 181 144 103 70 55 42 40 45 51 40 32 27 24 21 23 33 31 21 10 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 3 4 5 5 6 7 7 7 7 6 6 5 5 5 4 5 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 3 4 4 3 4 4 3 4 5 7 6
19 31 39 40 32 24 21 19 17 16 15 12 9 11 18 29 34 33 31 28 27 28 28 28 29 31 32 28 29 33 43 59 90 161 254 334 372 362 327 289 260 244 236 227 215 206 202 191 184 184 190 200 217 236 247 248 241 225 197 157 111 69 43 36 35 44 62 78 60 51 46 38 21 15 14 11 6 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 6 7 7 7 8 7 6 5 6 7 6 5 5 4 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 2 3 3 3
22 35 37 31 23 18 17 16 16 19 24 29 35 44 51 54 53 50 44 39 40 38 38 38 38 38 36 33 32 36 45 62 99 165 240 303 333 323 294 262 239 228 221 214 207 200 196 191 188 192 203 212 226 241 250 251 245 220 182 135 90 63 51 50 59 76 95 96 78 62 51 39 18 9 4 2 1 1 1 1 1 2 1 1 1 1 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 1 3 4 4 4 6 7 7 7 8 9 8 7 6 5 3 2 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 1 1 1 2 2 1 2
21 28 27 21 15 15 14 15 22 34 42 45 47 48 48 46 46 48 50 49 45 41 41 42 42 46 41 36 34 38 48 67 108 166 227 271 286 279 259 235 217 212 207 201 195 191 188 186 187 192 201 212 227 245 256 257 245 215 174 132 99 87 86 91 99 108 114 97 77 60 40 21 9 3 1 0 1 1 1 1 1 1 1 1 1 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 1 1 2 4 5 6 7 6 5 5 6 5 4 3 2 2 1 1 1 1 1 1 1 1 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
14 17 17 13 13 13 14 20 32 44 45 43 40 37 36 37 38 41 43 41 35 32 33 38 47 51 47 40 36 39 49 70 110 163 218 239 243 238 228 217 206 203 197 190 183 178 176 176 181 189 200 213 233 254 269 273 254 217 175 141 120 117 120 124 124 118 95 64 42 30 10 3 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 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 1 1 1 2 3 2 2 2 2 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2
9 12 12 12 12 12 15 22 34 41 39 34 28 24 23 26 30 35 38 36 30 25 24 30 44 54 56 52 46 46 54 75 110 157 204 211 210 205 197 190 188 188 184 177 173 169 168 169 173 179 190 209 235 262 285 289 269 229 184 155 141 137 136 129 120 101 70 40 18 12 5 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 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 1 1 1 1 2 4 5 5 5 3 3 3 3 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 2 2 1
8 10 11 12 12 13 14 17 21 29 28 22 15 13 11 15 22 30 34 32 26 21 20 25 39 54 62 64 59 59 68 87 116 149 175 184 181 173 170 169 174 175 169 159 162 162 163 164 161 160 172 196 229 265 294 296 270 228 188 164 152 150 142 119 97 75 53 34 16 8 2 0 0 0 1 1 1 1 1 0 0 0 0 0 1 2 2 2 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 1 1 2 3 4 6 7 7 6 5 4 4 4 4 4 4 3 2 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1
9 11 12 13 14 14 15 15 15 16 12 6 3 5 4 8 16 24 29 25 20 16 16 21 38 57 69 70 69 77 94 116 136 142 150 157 158 154 157 160 162 162 158 143 148 152 154 153 142 145 160 187 226 267 290 284 256 218 186 166 152 140 125 100 72 50 33 22 12 6 2 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 3 4 3 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 1 2 3 4 6 9 8 6 6 6 5 5 5 4 4 4 3 3 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
10 12 14 15 16 16 16 17 18 17 13 8 4 6 5 8 12 15 17 15 13 12 12 17 37 63 85 92 96 111 132 151 161 150 139 132 132 143 151 160 159 152 149 142 143 146 148 146 133 142 162 192 228 261 274 266 242 211 189 167 147 128 108 82 56 36 24 17 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 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 1 2 3 4 5 8 9 7 7 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2
10 14 16 18 18 18 18 20 22 21 17 10 11 12 13 12 10 7 7 6 7 8 8 16 46 89 129 146 146 155 168 178 175 160 145 133 125 122 138 147 151 157 151 147 149 153 154 152 147 154 173 200 232 253 262 258 242 211 188 165 142 118 94 71 48 30 22 19 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 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 1 2 3 4 6 8 9 8 7 7 6 5 4 4 4 4 3 3 4 4 4 3 4 4 3 3 3 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4
10 16 21 21 21 20 22 27 30 28 22 14 17 18 20 19 11 8 4 3 2 3 4 20 63 126 189 201 198 196 195 193 183 168 156 147 138 134 134 130 135 164 165 171 175 171 164 159 160 170 189 211 235 250 258 257 233 196 174 156 135 106 78 54 35 24 20 19 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 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 1 3 5 6 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 5 4 4 4 4 3 3 3 2 2 2 2 1 0 0 0 0 0 0 1 1 0 1 3 4 5 6 7
9 14 21 23 24 25 29 39 42 37 28 22 19 16 14 15 8 6 4 2 1 0 4 29 85 170 239 247 240 226 211 200 183 170 161 153 146 140 140 144 152 167 177 193 198 177 166 165 171 182 195 212 226 235 238 232 202 182 167 151 126 90 63 44 31 23 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 2 4 5 7 8 9 9 8 8 8 7 6 4 4 4 4 4 3 4 4 3 3 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 1 1 1 3 4 5 5 7 7
5 11 17 24 30 37 44 51 52 45 33 21 14 9 6 6 5 5 4 3 1 0 3 26 88 208 256 265 255 238 219 203 183 168 160 156 151 149 152 162 173 181 186 186 178 163 163 168 177 186 192 205 215 219 213 187 172 165 160 147 116 80 54 39 30 19 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 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 1 2 3 6 8 9 10 8 8 7 7 7 6 5 5 4 3 3 3 2 1 2 1 1 1 2 2 2 2 2 3 1 0 0 0 0 0 0 0 1 1 2 2 4 5 6
3 8 15 26 38 50 56 61 60 52 39 23 12 7 5 5 6 6 6 4 2 1 2 12 53 197 249 260 251 241 222 206 187 170 159 155 159 165 173 182 190 189 183 173 160 159 163 172 184 192 200 207 206 195 173 150 146 151 154 135 97 63 40 29 25 19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 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 1 4 6 8 8 8 7 7 6 6 7 6 5 5 6 5 3 3 3 2 2 1 1 1 2 2 3 3 4 4 3 1 1 0 0 0 0 0 0 0 1 2 4 5 6
2 5 13 28 47 61 68 69 65 57 45 29 17 10 7 7 9 9 8 6 3 2 1 10 45 171 248 268 248 248 228 208 192 181 177 176 179 182 186 185 183 177 171 165 164 163 162 167 180 185 191 192 183 160 139 130 130 134 133 103 68 38 17 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 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 2 4 6 6 6 6 5 5 4 4 4 5 5 6 7 6 6 5 5 4 3 3 2 3 3 4 5 6 6 5 3 2 1 0 0 0 0 0 0 1 1 3 5 7 8
2 5 14 33 61 72 77 76 71 63 51 36 21 12 8 12 16 16 13 8 4 2 1 7 54 155 250 290 250 247 231 213 196 186 179 180 181 181 178 167 160 156 153 151 150 149 150 153 150 148 151 149 137 113 95 86 85 89 79 59 38 18 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 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 1 2 3 4 5 5 4 5 4 4 4 4 6 6 7 8 8 8 7 7 5 5 4 4 5 6 7 7 6 3 1 1 1 1 0 0 0 0 1 2 2 5 8 10 11
1 5 19 45 70 82 84 80 72 67 56 41 26 13 8 18 27 30 26 14 7 3 1 1 45 139 239 293 254 237 228 216 195 181 167 158 153 151 144 133 126 122 119 114 112 112 110 106 104 99 96 93 82 66 50 38 32 31 29 23 15 6 1 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 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 4 4 4 5 6 6 8 10 10 10 10 9 8 7 5 5 5 5 6 7 5 2 2 2 3 2 0 2 4 3 2 2 3 6 10 13 13
1 7 24 58 81 91 91 84 76 72 63 49 30 15 11 20 31 39 37 20 10 4 1 0 21 102 200 254 234 205 190 182 165 142 121 106 97 94 86 79 72 65 58 55 55 56 55 52 54 53 51 50 42 29 17 9 6 6 6 6 6 1 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 2 2 1 0 0 0 0 0 0 1 2 2 2 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 4 5 7 9 11 12 13 13 12 10 7 6 5 4 5 5 7 8 6 4 1 1 0 3 8 7 6 5 6 8 11 15 16
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