Vorticity
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nan 12 12 13 14 14 14 14 14 14 14 14 14 14 13 12 10 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 12 13 14 14 13 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 14 14 14 14 14 14 13 12 11 10 9 9 10 10 10 10 11 12 13 14 15 15 14 13 10 8 6 6 5 4 2 -0 -2 -3 -1 -1 2 4 9 17 25 31 34 35 36 38 39 39 38 37 36 34 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 1 1 1 1 1 0 0 1 1 1 2 1 2 3 3 4 4 3 4 5 6 8 8 8 9 10 12 13 15 15 15 14 14 14 14 16 20 30 42 46 46 47 51 55 53 40 31 23 17 12 7 5 3 2 1 1 2 2 2 1 1 1 1 0 0 1 1 3 5 4 2 0 0 0 0 0 0 0 0 0 2 4 5 7 8 10 12 12 11 10 8 7 8 14 23 32 39 44 44 34 18 5 5 9 81 221 391 521 516 498 469 445 437 444 447 460 483 512 538 532 513 482 437 405 425 459 483 503 503 474 428 376 332 292 266 256 238 209 196 192 193 208 234 281 344 430 540 624 668 708 738 753 784 857 881 875 856 819 775 764
1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 5 5 6 6 7 7 7 7 7 9 10 12 12 11 10 10 11 12 16 31 52 64 63 56 52 49 45 40 28 17 10 7 6 5 3 3 2 1 1 2 2 1 1 1 2 2 1 1 1 2 4 4 3 1 1 0 0 0 0 0 0 0 0 2 4 5 6 7 10 12 13 12 11 9 8 11 19 30 41 48 53 53 41 20 5 3 14 68 187 366 489 525 526 495 443 419 419 421 426 435 448 467 479 479 450 396 352 353 360 377 397 403 387 354 307 266 241 225 212 200 188 179 176 186 218 252 302 377 483 597 678 737 779 808 832 860 884 891 875 850 799 749 725
2 2 2 2 2 2 2 2 2 2 3 2 3 2 3 3 4 5 5 5 4 5 5 5 5 5 5 5 6 8 10 12 14 16 15 17 24 33 49 67 74 65 54 49 41 27 21 15 9 5 5 5 4 4 4 3 3 3 3 3 2 2 1 1 1 1 2 2 2 4 4 3 1 0 0 0 0 0 0 0 1 1 3 5 6 5 6 8 11 13 12 10 9 9 12 20 34 46 55 62 65 56 21 6 2 8 36 108 239 353 437 494 515 465 421 385 373 378 386 383 390 414 433 417 368 338 326 321 320 324 322 313 289 254 222 202 192 181 174 169 164 168 190 228 274 332 423 539 648 732 788 826 854 883 891 884 858 826 808 776 742 723
4 3 3 3 2 3 4 3 3 3 5 5 5 3 3 3 4 3 3 3 3 3 3 3 3 4 5 7 9 13 24 35 44 50 57 60 65 70 74 73 62 52 45 35 21 10 9 8 6 5 4 4 4 4 4 4 4 4 3 2 2 2 1 1 2 2 2 2 3 4 4 2 1 0 0 0 0 0 0 0 1 1 3 4 5 5 6 8 11 11 11 9 8 8 10 17 32 48 62 74 79 67 32 9 1 5 19 45 102 200 298 382 466 474 449 394 351 345 346 330 310 317 352 362 347 338 333 326 312 289 268 252 234 213 194 178 170 166 163 162 157 167 194 234 286 357 471 586 683 758 807 836 859 869 859 848 816 803 797 787 772 761
7 6 6 5 5 6 7 5 3 4 8 7 6 5 4 4 3 2 2 2 3 7 12 16 18 19 23 36 52 66 74 77 78 83 91 91 89 83 73 59 50 42 35 28 16 8 6 7 7 7 6 5 5 5 4 4 4 4 3 2 1 2 1 2 3 4 4 3 3 4 5 3 2 1 0 0 0 0 0 0 0 1 2 3 5 6 7 8 10 10 9 9 8 7 7 14 29 47 66 82 89 71 35 9 0 3 11 18 33 88 171 254 359 432 458 438 396 370 351 332 297 256 263 290 303 314 320 321 314 283 250 223 204 187 172 161 157 159 164 169 168 175 198 239 297 397 513 618 703 774 811 835 843 830 807 822 820 822 821 814 803 803
8 9 10 10 12 12 10 6 3 4 7 7 6 5 4 3 3 5 10 16 26 38 41 44 50 58 64 71 71 72 76 81 78 78 78 77 71 62 50 40 39 36 30 24 16 11 8 8 8 9 8 8 7 7 6 7 5 4 2 1 2 2 3 4 5 5 5 4 5 6 5 3 2 2 1 0 0 0 0 0 0 0 1 2 4 6 7 7 9 9 9 8 7 6 6 11 22 41 64 89 101 80 38 6 0 0 2 3 6 22 61 136 246 348 409 418 400 362 338 334 333 307 250 251 262 273 278 278 286 271 242 210 184 162 146 139 140 149 159 171 179 191 212 255 330 437 550 648 735 802 843 862 861 857 837 851 866 876 887 854 821 803
9 9 9 10 11 11 10 7 5 4 5 5 5 4 3 3 13 25 34 40 47 48 44 44 51 59 58 60 60 62 67 71 63 58 56 57 54 43 34 35 34 31 28 24 17 13 10 9 9 10 10 10 9 8 8 7 6 4 3 2 3 4 5 6 7 6 6 5 5 5 3 2 2 2 2 1 0 0 0 0 0 0 0 2 3 5 6 6 7 8 8 7 7 6 6 8 15 31 56 85 104 86 43 7 0 0 0 0 0 1 15 52 130 226 307 349 358 310 261 248 266 321 293 266 256 251 241 227 227 226 207 181 161 143 130 122 121 137 151 167 186 210 235 292 377 474 570 686 765 830 874 895 912 912 916 918 915 914 901 860 815 777
7 7 7 7 8 9 9 7 6 5 6 7 9 14 24 40 51 50 40 29 22 20 22 25 32 45 55 60 59 56 54 55 51 45 41 41 40 37 32 32 32 31 29 25 18 13 10 9 8 10 11 11 11 10 9 8 6 5 4 3 4 7 8 9 9 9 8 6 5 4 3 3 2 2 1 1 0 0 0 0 0 0 0 1 3 5 6 6 6 7 7 7 7 7 7 8 12 22 44 78 108 95 42 5 1 0 0 0 0 0 3 13 42 90 143 221 284 283 228 170 146 196 240 250 251 249 232 211 196 186 170 148 133 122 114 107 110 127 147 167 191 226 275 346 436 529 602 691 761 822 880 912 938 952 960 961 944 912 874 834 790 742
4 4 5 5 5 6 7 6 6 7 11 18 28 40 52 60 55 40 24 15 11 9 9 12 18 30 45 59 62 56 50 50 43 38 36 35 37 38 37 35 34 33 31 25 18 14 11 9 8 10 12 13 13 12 10 9 7 6 5 5 6 8 10 11 12 12 10 8 7 5 4 4 3 1 0 0 0 0 0 0 0 0 0 1 2 4 7 7 6 6 7 7 6 7 7 8 10 16 33 68 97 91 44 8 0 0 1 1 0 0 0 1 6 17 30 95 179 248 272 217 159 143 164 182 203 223 225 211 192 167 149 132 118 109 102 101 109 126 148 169 193 235 296 377 475 577 648 700 744 784 838 877 919 946 962 969 933 883 837 799 756 714
2 2 4 4 5 5 6 11 23 43 59 69 70 64 55 41 30 21 14 9 5 5 5 7 12 24 39 55 61 56 53 46 39 38 40 35 34 34 36 36 34 32 29 25 20 16 14 10 9 10 12 13 13 12 10 8 7 6 8 8 8 9 11 13 13 12 11 10 9 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 3 6 7 7 7 7 7 7 7 7 7 8 10 25 55 83 84 41 12 1 0 2 3 2 1 0 0 0 1 13 45 101 179 275 279 243 198 167 145 148 168 189 201 186 154 135 122 112 101 94 97 106 120 137 164 192 230 284 357 465 567 646 697 732 757 785 812 845 886 919 920 891 846 799 766 722 682
6 6 9 10 13 20 30 47 74 93 94 83 70 54 46 34 25 18 11 7 4 5 6 8 14 25 35 42 48 55 54 44 38 39 39 34 32 32 33 34 32 30 28 25 23 20 19 15 12 11 11 13 11 11 10 9 8 9 10 10 10 10 11 13 13 12 12 11 10 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 2 5 7 7 6 6 7 7 6 7 7 6 8 20 44 72 75 42 15 3 0 0 2 3 3 3 2 2 2 7 19 44 103 206 263 264 213 183 141 119 116 125 148 152 138 122 110 104 98 95 96 100 104 108 131 168 212 256 320 423 523 604 650 687 713 738 762 785 823 850 851 832 800 751 716 681 654
22 22 21 24 31 44 66 95 117 121 107 85 76 56 43 32 24 17 12 7 6 5 5 8 18 23 33 44 54 60 55 43 36 36 34 32 32 31 31 32 31 29 27 25 23 23 21 18 14 12 11 12 10 10 10 10 9 11 12 13 13 13 13 14 13 12 11 11 10 10 10 9 6 3 2 1 0 0 0 0 0 0 0 0 0 2 4 6 7 5 6 7 7 7 7 7 6 8 16 35 64 66 45 19 2 0 0 0 1 3 8 9 10 11 13 18 29 69 137 195 202 112 113 104 92 87 71 71 86 94 94 90 86 88 92 95 98 97 91 96 127 189 232 294 374 453 518 556 584 615 655 698 717 750 778 785 764 731 693 663 639 624
24 26 27 28 31 37 50 72 98 117 123 110 92 67 47 34 27 22 17 13 11 11 10 9 15 23 36 51 61 62 54 44 36 34 32 32 31 30 30 32 30 28 27 26 25 26 24 20 16 13 12 12 11 11 12 12 12 13 14 15 16 16 16 15 14 12 11 10 10 11 11 10 7 5 3 2 1 0 0 0 0 0 0 0 0 1 3 6 6 5 5 5 6 7 7 6 6 6 10 23 52 60 50 28 5 1 0 0 0 1 6 9 12 17 24 35 40 58 92 134 140 61 34 37 43 63 53 43 40 40 48 56 59 62 69 78 86 91 91 87 80 143 199 264 335 402 456 481 492 509 550 598 640 681 715 731 711 680 648 621 604 596
15 15 16 18 19 21 23 36 57 91 128 143 118 85 58 41 32 27 22 20 18 17 17 14 17 24 33 44 50 53 49 42 37 32 31 31 30 28 27 27 27 28 29 30 30 29 27 23 18 14 13 13 14 14 13 15 15 14 14 15 17 17 17 16 15 13 12 11 11 11 11 11 9 7 5 4 2 1 1 0 0 0 0 0 0 0 2 4 4 4 3 4 6 7 7 6 5 5 6 19 40 56 58 39 16 5 1 0 0 0 2 4 7 13 22 35 39 41 51 92 87 59 29 4 7 26 36 44 50 34 36 42 47 48 53 58 66 76 85 92 74 100 148 214 300 372 425 449 453 461 499 537 581 624 660 676 665 645 620 594 579 574
7 7 8 10 12 13 14 17 22 40 83 120 123 102 74 53 42 36 31 28 26 24 24 26 26 27 33 43 49 48 44 40 36 34 30 28 28 26 24 24 26 28 30 32 33 32 29 25 20 16 15 16 17 17 17 17 16 15 15 16 16 16 17 18 17 12 9 8 8 9 9 10 10 9 7 4 2 2 1 1 0 0 0 0 0 0 0 2 2 2 2 3 5 6 6 6 5 5 6 15 30 50 65 48 29 14 5 2 1 0 0 1 1 3 13 22 28 32 35 63 76 77 69 15 3 7 18 33 57 47 49 54 57 62 69 71 72 71 77 80 73 75 92 140 227 308 375 418 431 453 483 512 539 566 597 615 617 609 592 567 549 544
3 4 6 7 9 10 11 12 12 18 38 74 112 114 91 67 52 45 41 38 36 33 30 30 30 32 37 42 47 47 43 38 35 33 31 29 28 26 24 24 25 27 28 29 30 29 28 26 23 19 18 18 18 18 17 17 16 16 16 15 15 16 17 18 14 8 5 4 4 5 6 7 8 8 7 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 6 6 6 5 5 8 18 42 58 53 40 25 14 9 5 2 0 0 1 4 9 12 16 25 43 67 85 90 105 49 15 1 1 0 18 26 33 42 51 59 71 86 100 87 86 84 83 82 74 104 160 224 293 354 383 416 448 474 484 499 516 530 537 534 527 515 503 501
1 3 4 6 7 8 10 10 11 13 23 56 104 125 107 82 65 55 50 47 44 39 36 34 33 33 37 43 47 48 45 39 37 34 30 28 28 27 26 26 25 25 26 28 28 28 29 28 26 23 20 18 16 16 15 15 16 16 15 15 15 16 17 16 9 4 2 2 2 2 4 5 6 6 7 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 4 4 4 7 31 49 53 46 41 25 16 11 6 0 0 1 2 3 3 6 18 42 75 101 80 79 53 24 1 0 1 1 4 9 16 21 29 39 55 90 89 95 104 109 111 101 110 133 165 210 262 307 346 380 406 420 430 437 442 444 441 445 448 451 456
1 2 3 5 6 7 8 9 10 12 21 48 85 112 113 99 83 70 62 58 52 46 41 38 36 34 40 45 48 49 49 46 43 38 33 29 27 27 27 26 26 26 25 26 28 28 30 30 28 25 22 17 15 14 13 12 10 11 12 13 14 15 15 12 7 3 1 2 2 2 5 6 7 8 8 9 10 10 8 6 6 5 3 1 1 0 0 0 0 0 1 2 3 5 6 5 4 4 4 3 8 27 45 52 44 45 36 26 17 14 7 5 3 1 1 0 2 10 28 57 96 78 66 65 70 36 24 17 10 3 4 8 10 11 8 8 36 53 72 93 104 110 109 110 116 134 161 197 235 271 300 328 352 368 378 383 381 381 385 392 402 413
2 2 3 3 5 6 7 7 8 10 12 30 60 92 116 120 107 90 75 66 60 52 45 39 38 38 43 47 49 49 50 50 47 41 35 30 29 28 27 26 25 25 24 23 24 26 31 29 29 27 25 21 16 15 13 11 8 7 8 10 12 12 11 8 5 4 4 4 4 5 7 9 9 8 9 10 12 13 11 12 14 13 8 4 2 1 0 0 1 1 1 3 6 7 7 6 5 4 3 6 15 31 46 52 48 50 47 37 24 20 17 14 9 4 2 1 1 2 7 24 51 64 71 76 100 95 85 65 40 20 16 18 24 27 12 8 11 17 31 56 68 77 82 86 88 105 128 157 189 221 249 277 303 323 340 351 354 353 353 357 361 363
1 1 1 2 4 5 5 6 8 11 15 26 48 80 122 132 127 114 98 79 67 56 47 42 41 42 44 47 50 51 52 51 48 44 39 34 31 30 27 24 23 22 21 21 22 24 29 29 28 28 27 26 22 18 15 12 9 7 7 8 10 10 8 6 5 5 6 7 8 9 11 12 10 7 5 6 9 9 8 9 11 13 14 9 5 2 1 1 1 2 3 6 10 10 9 8 7 7 10 23 41 58 64 59 59 61 58 43 28 23 22 20 17 12 8 4 0 0 0 4 17 37 60 73 98 112 100 71 43 25 17 18 24 39 29 24 17 8 11 24 34 41 46 54 62 77 99 128 162 194 227 256 277 296 318 338 346 340 336 332 326 323
0 0 0 1 2 4 6 8 10 15 21 29 42 66 103 120 131 136 125 94 78 64 53 47 46 44 45 48 50 50 51 53 53 50 43 38 34 30 26 22 21 20 20 21 23 26 30 30 29 29 29 25 22 18 15 12 10 9 8 8 8 8 7 6 6 6 6 8 11 12 12 11 9 6 4 3 3 3 3 5 9 17 15 10 5 3 2 1 2 3 6 12 16 14 12 12 17 27 44 67 93 116 107 86 77 75 68 46 32 26 25 26 21 18 15 9 1 0 0 1 2 10 31 52 72 75 59 34 19 9 4 2 6 18 25 31 35 22 18 16 18 23 26 32 41 58 79 108 142 176 213 246 264 282 300 318 329 318 307 298 293 292
0 0 0 0 1 2 4 8 13 18 22 27 34 53 73 94 115 132 130 99 81 70 60 53 51 49 49 50 51 51 52 52 51 51 48 42 36 31 26 22 20 20 19 19 23 27 29 30 30 31 29 26 22 19 17 13 11 9 9 10 10 8 7 7 6 6 6 7 10 13 14 12 9 6 4 3 3 2 1 2 3 5 7 6 4 4 4 2 2 5 12 22 22 17 13 17 28 49 80 115 150 168 148 124 106 94 80 58 42 32 26 24 21 19 18 13 3 1 0 0 0 0 11 26 46 62 47 28 12 2 0 0 0 4 8 14 30 29 28 24 19 21 22 26 35 49 67 91 121 155 191 220 242 258 271 281 287 285 278 270 264 266
0 0 0 0 0 1 4 9 14 18 21 23 26 42 56 72 92 112 116 101 89 80 69 59 56 54 53 53 53 54 54 54 54 56 53 48 42 35 29 24 21 20 19 19 23 27 30 31 30 31 30 27 24 20 17 13 11 9 9 9 9 8 8 6 5 5 4 5 7 11 13 13 10 8 6 5 4 3 2 1 1 2 3 3 4 5 4 3 3 6 16 31 31 21 14 15 26 48 81 120 159 167 156 141 126 114 87 63 45 33 26 23 20 18 15 11 5 2 0 0 0 0 3 8 21 50 50 39 22 6 2 2 2 0 0 0 10 16 25 33 28 25 23 25 35 47 59 72 92 123 154 182 207 225 235 241 242 253 262 261 259 255
0 0 0 0 0 1 3 9 17 21 23 25 26 34 46 63 81 96 100 105 110 106 81 69 62 58 56 55 56 55 55 57 60 62 58 54 49 41 33 28 24 22 21 20 22 26 30 33 31 31 29 25 20 17 14 13 12 11 10 8 8 7 6 5 4 4 4 5 5 9 11 12 11 10 8 7 6 5 3 2 2 2 3 3 4 5 5 5 4 7 18 40 47 35 22 19 23 40 69 101 128 145 150 146 140 116 87 63 44 32 27 24 20 15 11 7 3 1 1 0 0 0 0 2 8 27 43 46 37 20 19 20 18 8 3 1 1 3 8 20 24 25 22 19 28 38 50 60 68 88 112 137 158 173 187 202 211 223 241 246 258 252
0 0 0 0 0 1 4 10 19 24 27 30 32 37 46 61 82 94 105 123 141 139 101 81 69 60 54 50 49 51 56 61 64 67 64 59 54 46 37 31 28 26 24 23 24 27 30 33 33 31 28 24 20 16 14 12 12 12 10 9 7 6 5 5 5 5 6 6 7 7 8 9 10 10 10 8 7 7 6 4 4 3 3 3 3 4 4 5 5 8 21 47 71 72 57 48 46 53 70 94 135 159 160 176 170 141 110 79 55 36 28 26 22 16 10 5 1 0 1 0 0 0 0 0 2 11 25 36 34 31 45 64 69 43 18 5 0 0 0 6 9 12 15 11 14 21 31 45 53 67 76 86 98 109 128 147 165 180 199 209 231 252
0 0 0 0 0 0 3 10 19 27 30 34 38 41 48 62 84 103 123 146 167 157 119 92 74 61 54 54 53 53 57 62 64 70 69 64 57 50 42 35 31 30 29 27 27 29 31 32 32 29 27 25 21 17 14 12 11 11 11 10 9 7 6 6 6 7 7 7 8 8 8 9 8 9 10 9 8 7 7 6 5 4 3 3 3 3 2 3 6 8 24 55 96 122 116 103 93 88 92 112 159 210 237 236 219 192 159 125 96 67 48 37 27 18 8 2 0 0 0 0 0 0 0 0 1 4 9 17 17 22 43 76 98 81 47 18 4 0 0 0 1 2 4 3 3 5 10 21 31 39 46 51 59 62 76 96 113 134 165 188 208 244
0 0 0 0 0 1 4 12 23 31 35 40 45 50 56 67 92 121 135 153 188 168 134 101 76 60 56 55 54 58 65 68 71 73 71 66 59 51 45 41 38 33 31 29 28 29 31 32 31 28 25 25 20 16 14 13 12 12 12 11 10 10 10 9 10 10 10 11 11 12 12 11 10 9 9 8 7 6 5 5 5 4 3 2 2 1 1 1 4 8 21 53 114 159 165 146 128 119 121 145 187 232 253 251 236 215 192 167 136 106 79 52 32 20 10 3 1 0 0 0 1 1 1 0 0 1 3 4 4 5 13 35 54 65 55 29 12 3 0 0 0 0 0 2 5 8 9 12 15 19 24 30 44 50 56 78 92 109 141 180 203 220
0 0 0 0 0 2 5 14 26 37 41 43 46 49 52 60 79 111 151 188 204 177 145 111 80 63 59 58 60 65 78 80 84 85 82 73 63 54 48 44 39 35 33 31 30 30 33 34 32 29 26 22 20 18 17 15 15 14 13 12 11 12 13 13 13 14 14 15 16 15 13 12 11 10 9 8 7 6 5 5 4 4 3 2 2 1 0 2 4 6 12 33 110 167 187 176 154 147 153 173 199 218 226 227 223 217 208 190 167 141 111 77 47 30 22 16 11 5 2 1 0 1 2 1 0 0 0 0 0 0 0 5 12 23 31 24 15 5 0 0 0 1 2 7 15 21 24 21 15 10 8 10 23 38 40 55 77 97 121 158 185 187
0 0 0 0 1 2 7 17 30 38 40 42 46 49 54 62 72 99 137 171 180 164 138 113 98 80 66 60 59 64 79 87 91 91 88 81 72 64 59 55 46 39 36 35 34 33 35 35 33 30 27 24 23 22 20 19 18 17 15 13 12 14 16 16 16 16 16 16 15 13 11 11 11 10 9 9 8 7 6 5 4 3 3 3 2 1 0 2 4 6 7 21 88 159 201 199 183 178 181 188 193 187 181 182 191 205 204 197 185 166 135 90 54 38 36 32 25 16 9 4 1 0 1 2 1 0 0 0 0 0 0 0 0 3 10 10 8 5 1 0 0 0 3 9 15 20 22 19 12 6 2 0 4 14 23 42 62 82 101 122 145 157
0 0 0 0 2 3 7 16 27 34 37 40 43 47 51 60 72 94 125 156 173 157 128 105 92 77 67 60 58 65 77 84 87 87 90 93 88 76 64 60 47 41 39 37 37 36 35 33 32 30 26 24 24 25 23 21 19 18 16 14 14 15 16 19 19 19 16 13 11 12 12 12 11 11 11 10 9 8 7 5 5 4 3 2 2 1 2 3 6 7 9 25 73 143 211 214 210 209 215 224 217 189 163 157 163 181 187 186 184 177 142 88 47 35 44 43 38 32 24 13 4 1 1 2 2 2 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 3 6 7 6 1 0 0 0 0 3 9 21 39 63 85 93 102 120
0 0 0 0 1 3 6 10 16 26 29 31 36 51 52 61 74 91 113 138 148 138 118 98 81 72 62 55 58 64 71 78 84 85 92 96 92 78 56 57 52 46 41 39 38 37 35 33 32 28 25 24 24 23 23 20 19 18 16 15 15 15 17 21 23 22 19 15 14 13 13 12 12 12 11 10 10 9 8 7 6 5 3 3 2 1 2 5 10 12 13 25 52 97 172 199 216 232 242 245 226 196 169 156 149 159 167 169 171 171 141 96 56 43 50 51 49 47 42 25 11 3 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 3 2 4 13 29 50 67 76 78 92
0 0 0 0 1 2 5 9 13 20 22 23 29 48 43 52 68 85 105 136 145 136 115 91 69 55 47 45 48 51 55 63 74 82 89 95 94 84 68 62 56 49 43 41 41 39 36 34 32 27 24 23 22 21 22 21 19 19 17 15 15 16 19 23 25 24 21 18 16 14 13 13 13 11 11 10 10 10 8 7 6 5 4 4 3 3 3 5 12 13 12 13 17 28 77 122 167 231 245 242 225 198 167 159 151 148 151 157 156 151 133 102 74 61 57 54 48 53 49 33 15 4 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 6 3 2 2 1 5 6 4 11 25 38 50 60 68 79
0 0 0 0 1 3 6 11 16 20 24 30 40 52 55 57 59 58 78 112 129 125 108 80 57 43 36 38 41 42 44 49 56 65 76 95 110 98 83 73 63 53 44 43 43 42 40 34 30 26 24 23 22 21 21 21 20 18 16 16 16 17 20 25 26 26 23 18 15 14 14 14 13 11 10 10 10 9 8 8 7 6 5 5 4 4 4 6 8 8 7 6 7 7 19 40 71 174 213 219 200 163 136 136 138 136 132 143 144 133 113 100 82 61 40 24 30 47 47 34 20 11 5 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 19 13 8 4 2 2 5 6 12 22 30 35 42 56 67
0 0 0 0 1 3 8 13 18 23 28 35 53 66 69 62 50 40 49 71 93 103 86 65 46 33 27 28 30 33 36 39 43 49 58 73 90 95 90 82 71 58 46 44 45 46 44 37 31 27 24 22 21 21 21 21 20 18 17 17 18 19 21 26 28 26 24 22 20 17 15 13 13 11 10 9 9 9 9 8 8 7 5 4 4 4 5 6 5 4 3 2 3 4 6 9 13 96 159 190 184 143 119 115 121 124 118 127 123 102 73 79 69 48 24 8 21 37 41 34 22 15 9 4 3 4 4 4 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 21 17 13 7 3 2 1 2 8 14 19 22 23 34 53
0 0 0 0 1 3 8 15 21 27 34 43 68 80 82 72 48 44 50 64 75 71 66 51 36 24 19 17 18 21 24 27 29 32 41 53 67 74 74 72 68 58 51 47 47 47 46 40 33 28 25 23 21 22 22 22 21 20 20 20 22 24 26 28 29 27 24 24 23 20 17 14 13 11 9 8 8 8 8 8 7 6 5 5 4 3 4 4 3 2 1 2 2 3 4 5 6 43 100 163 176 151 132 122 117 115 116 117 108 80 54 48 40 25 11 6 19 35 46 40 28 18 11 5 2 3 4 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 8 10 8 5 4 1 0 1 5 8 11 12 17 31
0 0 0 0 1 3 9 16 25 31 38 57 76 81 78 66 41 47 62 73 72 50 47 37 25 16 14 13 13 14 16 18 19 23 31 42 53 58 57 53 51 50 50 47 47 53 50 42 35 30 27 24 23 23 22 22 22 22 22 23 24 28 30 31 30 27 26 27 26 23 20 17 14 11 9 7 7 7 7 6 6 6 6 5 5 3 3 3 3 3 2 2 2 2 3 4 4 13 40 118 147 155 153 142 129 122 118 113 98 60 36 23 15 10 4 2 11 31 54 49 37 24 14 7 2 1 2 5 13 12 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 3 4 3 1 0 3 5 6 5 3 12
0 0 0 0 1 3 10 18 28 36 44 58 73 74 64 54 53 66 80 85 68 48 32 20 12 9 9 8 7 8 11 13 12 15 23 34 40 45 47 44 39 37 39 47 60 63 53 45 38 31 28 26 25 24 24 22 22 23 25 27 28 32 34 35 33 28 28 29 28 27 23 18 14 11 8 7 7 6 6 6 7 6 6 5 5 4 4 3 3 3 3 3 2 2 3 4 4 3 2 59 104 138 160 152 141 132 122 107 83 47 20 6 3 1 1 3 10 21 37 41 39 32 20 11 6 3 2 8 15 17 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 4 4 3 2 5
0 0 0 0 1 4 12 22 33 44 55 65 71 70 65 63 70 81 92 96 72 51 34 21 10 4 5 5 5 6 8 10 11 16 23 29 32 34 35 34 30 30 32 37 45 47 48 46 40 33 30 28 28 26 25 23 24 26 28 31 33 35 36 35 31 30 31 32 34 31 25 20 15 11 9 8 7 6 6 6 6 5 5 4 4 5 4 2 2 2 2 2 2 2 3 4 4 3 1 22 54 92 130 134 134 126 110 86 59 30 8 1 0 0 1 5 10 13 22 32 37 33 26 21 17 12 12 10 11 12 13 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 1 2 2 2 1 3
0 0 0 0 1 5 14 26 38 50 61 71 78 79 76 77 87 98 102 92 71 52 35 21 10 7 6 6 7 8 9 11 13 17 21 22 25 27 27 25 21 23 28 33 39 44 47 46 40 37 36 34 31 29 26 25 26 29 32 34 36 39 39 34 32 31 32 36 41 36 29 22 16 13 11 9 7 7 7 7 6 6 5 5 5 4 3 2 1 1 1 1 2 2 3 4 5 3 1 4 15 37 69 88 95 91 76 54 31 12 1 0 0 0 2 5 10 13 21 30 37 35 33 32 32 31 30 23 15 6 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 2 6 4 1 2
0 0 0 0 0 6 17 29 41 53 62 75 84 89 89 105 117 121 117 104 81 58 38 23 13 8 7 7 9 10 11 12 14 18 22 25 26 25 24 22 21 23 27 32 35 36 38 41 41 40 40 39 35 31 29 28 28 31 35 37 40 42 41 35 32 33 36 41 44 39 32 24 17 13 10 8 7 6 7 7 7 6 5 5 4 2 1 1 1 1 1 1 1 2 3 4 5 4 2 0 1 9 25 42 56 55 42 25 11 2 0 0 0 0 1 2 5 8 14 25 37 37 34 33 48 49 46 39 29 10 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 1 1 0 0
0 0 0 0 1 8 19 31 43 55 66 78 89 96 95 130 152 153 144 115 91 68 45 26 15 9 7 8 10 11 12 14 16 19 22 24 25 25 24 22 23 25 30 35 36 39 42 44 43 41 41 41 38 33 32 31 32 34 38 40 43 43 39 34 33 36 41 43 43 39 31 22 15 10 7 6 6 5 6 6 5 4 4 4 2 1 1 1 1 1 1 1 1 1 2 3 4 3 2 0 0 2 5 13 26 23 14 5 0 0 0 0 0 0 0 0 1 1 2 10 21 29 32 22 41 50 52 49 36 18 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 3 9 20 32 45 58 69 80 89 94 88 112 142 161 160 135 112 86 56 33 19 12 9 9 11 13 14 15 16 19 21 22 23 23 22 21 23 27 34 36 38 41 43 43 45 44 43 41 38 34 33 33 35 39 42 44 43 40 36 34 34 36 41 43 43 37 24 15 8 5 4 4 4 4 4 4 3 2 2 1 1 1 1 1 1 1 1 0 0 1 1 2 4 4 2 0 0 0 1 1 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 22 12 19 32 46 48 37 25 14 0 0 0 0 0 0 0 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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