Vorticity
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nan 11 12 12 13 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 11 12 11 12 12 12 12 11 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 15 14 14 14 15 15 15 15 14 13 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 6 2 -2 -3 -4 -3 -1 1 5 11 16 20 23 28 32 34 34 32 30 27 24 22 19 16 15 14 14 13 nan
nan 11 12 12 13 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 11 13 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 13 13 13 14 14 14 14 14 14 14 14 15 14 13 12 11 11 10 10 10 9 9 9 9 9 10 11 12 12 13 12 9 6 2 -0 -2 -4 -5 -6 -7 -3 0 3 6 11 18 24 30 34 35 36 35 35 35 32 30 28 27 24 nan
nan 11 12 12 13 13 13 13 13 13 14 14 14 14 15 14 14 13 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 12 11 10 10 10 10 10 9 10 10 11 12 13 14 14 13 11 10 8 7 6 4 3 1 -2 -4 -5 -5 -5 -3 -2 3 10 19 27 31 35 37 40 41 40 39 38 38 36 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
6 6 4 3 3 3 4 4 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 10 10 10 11 12 12 14 15 17 19 19 18 18 16 16 17 20 21 18 21 22 19 14 11 7 8 8 8 8 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 5 6 7 8 12 14 15 17 19 18 12 7 3 8 31 83 86 65 38 15 4 1 0 3 7 10 7 3 1 2 14 54 151 296 446 572 654 693 690 662 637 631 631 584 526 493 464 438 431 444 438 437 436 425 426 458 507 571 648 735 796 834 861 882 907 945 982 952 875 766 629 601 602
9 8 6 6 6 7 6 5 5 5 5 4 4 5 6 6 6 7 6 7 8 8 8 9 10 11 12 13 14 15 16 17 19 20 20 19 19 18 19 22 24 24 22 21 19 17 14 12 10 10 10 10 10 7 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 1 1 2 4 4 5 6 7 10 12 15 19 22 22 19 13 8 3 1 2 28 37 31 16 1 0 0 0 0 1 2 0 0 0 3 17 57 131 230 350 472 565 617 629 614 593 583 570 526 470 427 401 380 365 370 369 373 391 406 409 436 488 563 656 756 817 855 874 886 903 915 907 874 817 727 645 601 591
10 9 9 9 9 10 8 6 5 5 4 4 4 5 5 5 5 6 7 9 9 9 9 9 10 11 12 12 13 14 15 17 19 20 20 19 21 21 22 28 33 36 35 31 26 21 18 16 14 13 12 11 11 10 7 4 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 2 2 3 4 5 6 7 9 14 19 24 26 25 20 14 9 4 2 0 6 12 11 4 0 0 0 0 0 0 0 0 0 0 3 23 69 94 151 270 404 494 557 582 576 561 540 503 458 413 376 356 345 321 316 324 337 370 391 405 431 477 550 643 745 821 862 873 887 900 888 858 812 779 728 678 635 601
12 12 12 13 13 12 10 7 5 4 4 4 3 4 5 5 5 5 5 6 7 7 8 8 9 9 9 10 11 12 14 16 17 18 18 19 22 25 28 33 38 46 50 47 39 29 25 22 21 20 17 13 10 9 7 5 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 3 4 5 6 6 7 10 16 22 27 28 26 22 17 11 6 3 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 1 21 73 87 79 204 397 478 522 549 545 525 493 441 388 350 331 312 308 301 295 299 305 347 376 400 431 473 548 641 732 805 854 865 871 865 857 848 808 791 759 709 647 579
14 14 15 16 16 15 13 10 8 7 7 6 5 5 6 8 8 6 5 5 5 5 6 7 7 7 8 9 11 13 14 14 15 15 16 20 25 30 34 38 39 45 51 55 54 42 36 30 26 24 20 14 9 7 6 5 4 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 1 1 2 4 5 7 7 8 12 17 25 30 29 26 22 17 11 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 68 96 64 128 365 505 527 534 527 489 446 394 340 307 300 284 277 277 278 282 287 309 346 387 426 475 546 626 698 772 820 845 858 861 865 865 833 793 751 712 643 575
17 17 17 17 17 16 15 13 12 11 10 9 7 6 6 7 6 5 4 4 3 4 4 5 5 6 6 8 9 11 12 13 13 13 16 21 26 30 34 37 42 44 47 56 65 54 45 38 31 25 20 14 10 7 7 7 6 4 2 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 5 7 9 14 20 27 29 27 24 20 16 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 25 77 119 85 69 238 451 531 517 498 457 406 353 304 282 277 272 262 251 236 241 259 290 332 378 425 479 539 601 668 739 791 829 856 873 885 873 840 796 748 687 630 587
15 15 15 15 15 15 15 14 12 12 12 10 8 6 4 3 3 3 4 4 4 4 3 3 4 5 6 7 8 9 10 11 11 13 17 19 21 25 31 37 43 49 54 55 64 55 46 39 33 27 22 18 13 10 9 9 7 4 2 1 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 9 14 22 27 27 24 20 17 14 12 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 19 79 150 96 57 125 307 458 459 438 408 362 301 262 249 250 253 247 227 207 206 225 262 319 376 431 484 535 600 656 712 762 801 839 849 859 851 822 783 725 669 625 607
13 13 12 12 11 11 11 11 11 11 11 9 6 5 3 3 2 2 3 3 3 3 3 2 3 3 4 5 6 7 8 8 11 18 22 22 23 27 37 47 56 62 64 57 59 52 43 34 27 22 19 18 16 14 11 10 7 4 2 0 1 2 2 3 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 11 17 23 26 24 19 15 13 11 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 18 79 166 145 72 66 201 354 397 375 339 291 233 206 206 218 228 226 212 199 196 211 245 309 375 433 486 536 588 634 684 743 786 802 808 815 818 784 748 705 676 658 658
10 10 10 10 9 9 9 8 8 9 9 8 6 5 3 2 2 3 4 5 6 10 8 4 3 1 2 3 6 10 13 16 25 37 42 39 37 46 58 66 71 72 66 62 59 52 40 26 18 16 16 17 17 16 13 9 6 4 2 2 3 5 6 7 8 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 11 17 24 27 25 20 14 9 9 8 7 6 5 3 2 1 0 0 0 0 0 0 1 3 1 0 0 2 9 37 109 173 175 98 54 166 291 353 342 286 239 196 171 171 184 199 203 203 201 200 234 276 329 383 428 480 530 569 603 645 708 749 770 777 781 800 773 747 727 723 727 746
9 9 8 7 7 6 6 5 6 6 7 6 5 6 5 4 5 7 11 13 16 21 20 16 15 18 17 19 27 38 42 48 58 66 69 67 70 78 82 80 75 72 65 61 58 51 36 22 17 16 17 18 17 16 13 9 6 5 5 6 6 8 9 9 10 10 9 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 10 16 23 28 26 22 16 11 8 7 6 5 4 3 3 2 2 1 0 0 0 0 0 2 7 5 3 5 11 38 82 149 205 211 125 107 178 261 304 313 271 243 220 198 168 171 180 193 207 222 228 263 307 353 402 437 480 518 551 581 619 666 702 730 756 778 791 780 766 767 792 814 832
7 7 6 6 5 4 4 3 5 6 7 8 11 16 16 17 18 18 19 20 20 21 21 23 29 42 59 71 76 77 76 76 81 85 84 81 83 91 89 81 72 67 61 57 54 49 36 25 21 21 21 21 19 16 13 10 9 10 10 10 10 9 10 10 11 10 9 8 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 15 22 27 27 23 18 13 9 7 6 5 3 2 1 1 2 2 2 1 0 0 0 0 3 9 12 14 22 36 78 127 173 210 249 194 189 230 272 255 253 249 248 248 242 202 191 199 217 233 249 262 286 315 350 399 437 476 518 565 603 638 672 705 733 761 798 815 818 819 827 866 894 905
5 5 4 4 4 5 6 6 8 10 14 20 28 34 31 27 23 19 15 14 14 14 14 18 28 49 69 83 89 87 82 78 79 81 81 78 76 75 76 76 67 60 56 54 53 51 44 36 30 27 24 23 21 18 14 12 12 15 15 14 12 11 10 11 11 9 7 7 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 1 3 5 8 13 19 26 29 27 22 15 11 7 5 4 4 2 1 1 0 1 2 3 2 1 1 0 0 1 6 15 32 53 71 109 164 213 212 253 247 231 236 285 240 214 210 216 230 220 200 192 203 233 252 259 263 269 288 318 360 404 456 519 592 646 692 735 772 792 820 849 871 885 894 916 938 948 941
4 3 3 4 7 11 15 17 21 26 33 41 47 41 33 25 18 12 10 10 12 14 16 21 31 48 65 77 83 81 75 71 69 69 70 69 68 66 65 65 61 58 56 55 55 55 48 41 34 29 26 25 24 21 18 16 16 17 17 17 15 14 12 12 11 10 7 6 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 1 3 6 9 15 22 28 29 22 18 11 7 5 4 3 3 2 1 1 0 0 1 2 3 3 2 1 1 1 3 14 48 71 91 123 175 267 245 237 227 199 145 183 189 182 178 176 184 178 169 165 176 208 225 225 218 219 249 281 316 355 402 506 595 674 744 814 854 878 902 928 953 972 988 998 993 976 949
5 4 6 11 19 30 38 44 48 54 62 56 45 34 25 19 17 14 14 15 18 22 26 34 38 45 54 64 70 72 69 65 61 61 62 63 60 55 52 51 54 57 57 58 58 55 50 42 34 29 27 27 26 25 23 20 19 20 20 19 16 13 12 12 13 13 10 8 7 7 7 7 6 4 2 1 0 0 0 0 0 0 0 1 2 3 5 7 15 23 27 24 12 13 8 5 4 5 3 2 2 2 1 0 0 0 1 2 2 2 2 1 1 3 13 42 68 93 121 145 201 214 198 167 136 90 97 124 150 165 159 156 148 136 126 148 173 189 189 171 185 218 251 281 317 358 446 554 664 744 834 903 955 989 1015 1037 1046 1046 1032 1008 974 940
10 10 15 25 38 49 56 64 70 75 78 62 46 32 23 19 19 16 16 18 23 30 31 34 38 44 51 57 61 65 64 60 55 56 55 54 53 49 46 47 52 56 57 59 60 54 48 42 36 32 30 28 27 27 26 23 21 20 18 16 12 10 9 10 10 10 8 7 6 6 6 6 5 5 3 1 0 0 0 0 0 0 0 1 2 4 6 8 14 19 23 22 13 10 7 5 5 5 4 2 2 2 2 1 0 0 0 0 1 1 1 1 0 2 13 31 53 77 102 110 122 136 152 129 102 80 77 91 116 138 146 146 144 140 132 141 156 169 172 158 174 199 224 240 287 340 402 484 621 713 818 920 997 1036 1059 1078 1078 1060 1029 993 955 922
11 12 17 26 37 46 53 64 74 79 73 61 45 31 23 20 19 17 17 18 22 31 34 40 47 53 57 60 62 63 61 57 53 53 50 47 45 43 43 47 51 54 57 58 60 53 46 42 39 35 31 28 27 26 24 21 19 17 14 10 8 7 7 7 7 5 4 4 4 5 5 5 5 4 3 1 0 0 0 0 0 0 0 1 3 5 8 12 16 20 22 19 13 8 4 5 4 4 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 3 10 22 39 55 74 80 81 91 137 124 108 97 93 93 107 124 137 143 146 148 147 147 151 160 167 172 177 181 200 216 265 342 416 442 561 664 768 873 968 1013 1041 1062 1067 1039 1001 960 923 896
9 10 12 16 23 31 39 51 62 68 68 59 45 33 25 21 20 19 20 23 26 32 39 45 50 54 61 65 67 66 62 57 54 51 46 41 38 36 39 43 48 51 55 56 53 48 45 44 40 36 32 28 26 23 19 16 15 14 13 10 8 8 9 9 6 4 3 2 3 3 4 5 4 3 2 1 1 1 0 1 1 1 1 2 5 9 14 20 24 26 20 14 9 5 1 4 5 4 4 2 2 2 2 2 1 0 0 0 0 0 0 1 0 2 6 15 37 47 55 62 69 65 99 119 129 128 132 121 117 123 134 139 142 143 143 144 147 158 170 181 179 154 168 190 229 303 429 465 527 596 682 802 896 950 981 998 1002 982 951 912 876 860
8 9 10 11 14 20 26 34 43 54 64 63 54 42 33 27 26 24 24 27 32 38 44 48 52 56 64 69 71 68 63 60 55 51 46 42 37 34 36 39 42 44 50 52 53 51 49 47 39 36 34 31 26 23 18 14 12 13 15 15 13 12 13 14 12 8 5 4 4 4 5 5 6 5 4 2 2 2 1 1 2 2 3 6 13 18 24 28 28 28 18 10 7 8 3 4 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 5 17 38 47 42 28 39 50 76 116 159 156 152 140 127 116 121 126 130 129 126 130 137 144 151 157 158 135 132 143 164 187 310 402 474 534 606 718 810 868 897 916 923 909 887 857 825 822
9 9 9 10 12 15 18 23 33 50 61 67 66 58 49 40 37 33 29 29 32 37 43 50 55 58 63 70 73 69 65 61 55 49 44 43 37 33 33 36 40 44 45 47 47 46 47 44 39 35 33 29 25 21 16 12 12 17 20 19 17 15 17 19 17 13 10 8 7 6 5 5 6 6 6 5 4 4 3 3 5 8 12 19 27 30 33 37 31 23 15 7 4 9 8 7 4 2 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 8 24 39 46 40 20 25 34 50 77 130 138 134 127 119 96 91 94 99 103 102 103 105 109 116 123 119 109 101 98 120 127 181 275 386 456 533 625 715 783 815 831 838 836 819 784 768 778
10 9 9 9 9 10 12 18 30 51 65 77 82 78 68 57 49 41 33 28 29 33 40 47 54 58 61 69 75 74 70 64 54 44 36 33 31 31 31 33 36 41 45 45 43 40 44 40 36 33 30 27 23 18 14 13 15 20 20 18 15 13 16 17 15 13 11 10 9 8 7 6 5 4 4 4 5 6 8 12 21 32 36 39 40 37 35 40 35 30 18 7 2 5 5 5 3 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 3 15 33 44 42 38 29 22 22 29 35 66 88 96 85 94 77 61 54 62 72 73 70 68 74 92 96 93 87 79 65 73 81 108 174 282 348 419 517 623 690 717 735 747 747 724 700 697 718
13 11 10 9 8 9 10 14 23 36 59 81 94 94 84 73 63 52 40 30 30 32 36 42 50 56 62 70 77 78 75 69 58 45 37 35 33 31 30 31 32 36 41 44 41 35 38 36 32 29 28 26 23 19 16 14 16 17 17 16 13 11 12 12 13 12 10 10 11 11 9 7 5 4 3 3 4 5 11 24 42 54 51 43 37 34 34 35 32 22 11 5 2 1 4 5 1 0 1 1 1 0 0 0 0 0 0 1 2 1 1 0 0 7 21 37 48 44 42 39 32 22 30 31 40 66 94 65 67 61 46 29 43 51 51 46 43 49 63 69 68 61 54 45 40 42 61 112 179 241 319 420 510 557 604 637 641 641 629 626 636 665
15 13 12 10 9 8 8 10 16 26 43 64 85 96 98 94 82 64 50 39 36 35 34 36 43 50 58 65 70 75 75 71 62 51 45 41 37 33 32 32 32 36 42 46 40 34 31 28 26 25 25 24 23 20 16 15 15 16 17 17 16 14 13 12 12 13 11 10 11 11 11 9 6 5 4 3 4 5 9 15 19 25 31 30 27 28 30 30 24 14 6 3 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 2 3 4 4 4 9 20 38 53 52 48 53 53 27 26 28 34 50 106 97 78 59 49 36 40 41 39 34 28 30 35 39 41 36 32 30 26 23 38 76 120 164 222 327 398 436 473 524 537 553 561 565 584 628
14 15 14 12 10 9 9 11 14 20 31 49 75 98 111 108 91 68 55 50 47 42 36 33 39 46 52 55 59 69 75 74 66 56 50 47 42 37 36 34 35 38 44 46 41 34 29 26 27 25 24 23 21 17 14 15 16 17 17 16 17 17 16 15 14 14 11 9 8 9 9 9 8 7 5 5 5 5 7 8 9 11 12 15 19 24 28 29 22 11 4 3 2 0 0 0 0 0 0 1 1 0 0 1 2 1 0 0 2 4 5 6 10 13 20 35 49 58 66 70 61 31 15 14 23 35 86 111 103 74 64 58 48 38 31 27 23 18 14 15 21 22 20 17 16 14 30 58 90 123 177 254 329 374 380 430 477 506 516 528 559 604
13 15 15 13 11 9 9 12 15 18 25 41 70 101 122 132 125 90 70 59 53 47 42 38 40 44 47 48 49 61 70 71 66 58 53 50 47 42 39 38 36 37 41 42 37 31 26 25 27 25 24 24 22 17 16 16 17 17 15 14 14 15 15 15 13 12 10 7 5 5 6 6 7 7 6 6 6 7 8 8 8 7 7 9 13 20 27 28 21 9 4 3 2 0 0 0 0 0 0 1 1 0 0 0 1 1 2 1 1 4 6 9 11 14 17 25 36 58 79 73 46 22 7 3 10 21 44 69 81 62 55 53 46 36 30 28 24 16 9 7 10 15 16 13 11 11 19 39 72 111 163 225 288 323 328 369 432 475 501 532 556 573
15 15 16 15 12 11 11 13 16 18 23 36 65 99 130 152 158 117 85 66 56 51 52 45 42 42 45 48 48 57 66 70 69 62 57 54 51 46 40 39 39 38 40 40 35 29 25 24 23 24 25 25 24 20 18 17 17 16 13 11 11 12 13 13 11 10 9 7 5 4 5 5 5 6 7 7 8 9 9 9 8 7 6 6 9 17 24 25 17 8 3 1 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 2 2 8 22 19 11 14 14 15 20 29 36 29 17 7 2 0 2 10 18 29 41 35 29 28 28 25 26 32 31 21 13 9 6 7 9 8 8 9 16 29 54 87 132 189 247 281 306 351 396 418 481 498 528 578
15 15 15 14 13 11 11 14 16 18 22 32 52 86 130 174 184 152 114 84 71 62 55 46 39 38 42 49 51 54 59 67 66 60 57 56 54 47 40 38 40 41 43 42 37 30 25 22 20 20 22 25 23 21 19 18 17 14 12 11 11 11 12 11 11 10 9 8 7 7 7 6 7 8 8 8 8 8 7 7 6 5 4 4 9 16 21 21 15 7 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 6 6 8 11 14 13 16 22 17 12 9 5 1 0 0 1 6 14 21 23 20 14 8 10 13 19 28 34 26 18 11 6 4 3 1 2 8 17 26 42 68 102 143 197 251 263 278 376 414 456 476 486 510
11 13 13 13 13 12 12 14 16 18 22 29 43 65 102 164 195 195 156 111 98 79 62 48 39 37 41 48 53 55 57 64 63 59 54 51 50 46 40 36 38 42 44 45 40 32 26 22 20 21 22 20 19 18 17 16 15 14 13 13 13 13 14 13 12 11 11 10 11 10 10 10 9 9 8 8 7 7 6 5 5 4 4 4 9 16 20 14 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 15 13 6 4 8 8 7 10 15 13 11 12 11 3 1 0 0 3 9 12 11 9 7 4 4 7 13 21 30 31 24 15 6 2 1 0 1 4 11 19 27 38 61 99 148 202 260 330 360 391 417 421 424 439
10 13 15 16 17 15 15 17 20 22 22 26 35 48 69 112 166 190 179 146 114 87 67 52 40 39 41 47 53 57 58 62 63 60 54 49 46 43 39 37 36 38 39 40 37 32 28 23 21 20 18 16 16 17 17 16 15 15 15 16 17 17 17 17 16 16 15 14 14 13 13 12 10 8 8 8 6 6 5 5 4 4 3 5 10 18 20 12 8 6 4 3 1 0 0 0 0 0 0 1 1 1 0 0 0 0 2 7 17 24 18 9 3 2 5 7 10 10 11 11 8 2 0 0 1 2 3 4 3 2 3 2 2 2 6 13 22 26 24 16 9 5 2 0 0 1 3 8 15 27 51 76 106 151 207 259 300 335 354 350 373 352
8 11 14 18 20 20 20 23 26 25 23 24 31 43 60 93 155 189 183 148 107 79 64 56 49 43 42 44 51 59 60 61 61 59 56 51 48 45 41 37 34 34 35 36 35 32 27 24 21 20 18 16 18 19 19 17 14 13 14 17 19 20 21 21 20 18 16 15 13 12 10 10 9 9 8 7 6 6 6 4 3 3 3 5 11 23 18 12 7 4 3 3 2 2 1 0 0 0 0 0 1 1 1 1 0 0 1 4 12 23 26 14 6 4 8 9 12 12 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 14 11 9 8 6 2 1 0 1 4 13 25 36 49 74 114 156 199 238 269 292 289 318 322
6 9 12 17 22 23 24 27 30 27 25 26 30 37 47 70 132 183 191 155 108 76 60 52 47 45 44 46 53 60 63 63 60 58 55 53 51 50 45 36 31 30 31 33 34 32 28 24 22 20 18 17 18 19 18 16 14 13 15 17 19 22 23 24 22 19 17 14 13 11 11 11 11 10 10 9 8 7 6 4 3 3 3 5 8 18 16 10 5 2 3 3 3 2 1 0 0 0 0 0 1 1 1 1 1 0 0 2 9 19 27 20 12 13 21 15 13 14 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 6 6 7 8 7 5 2 2 4 10 18 26 38 57 88 126 166 205 244 292 278 272 322
4 6 9 15 21 24 26 27 27 27 26 26 30 38 40 60 107 157 175 141 103 74 54 42 37 34 33 38 49 61 67 68 68 64 60 55 52 51 49 40 34 31 31 34 34 32 28 24 20 18 18 18 18 17 17 17 17 18 19 20 23 25 26 25 23 20 17 15 13 12 13 14 14 12 11 10 9 8 7 5 4 4 4 5 6 8 8 6 3 1 1 2 2 3 1 0 0 0 0 0 0 0 1 1 0 0 0 2 5 11 20 22 20 23 40 37 23 17 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 5 8 10 12 12 10 7 6 7 11 13 17 27 49 81 126 174 203 207 263 304 270 272
3 5 8 13 19 25 30 31 28 26 23 22 25 33 28 46 82 122 150 127 98 72 52 37 30 31 33 32 37 46 51 57 62 66 65 62 60 58 53 45 37 33 32 33 35 34 28 21 17 17 17 17 17 18 17 17 17 17 18 21 25 28 27 25 23 20 17 16 14 14 14 15 15 13 12 10 9 8 6 5 5 5 5 6 6 7 7 6 2 0 0 1 2 3 2 1 0 0 0 0 0 0 1 1 0 0 0 1 3 6 11 16 21 27 39 42 32 26 12 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 10 18 24 27 26 23 17 13 11 13 16 15 25 56 96 131 145 160 148 165 226 230 211
3 5 7 10 16 25 33 35 34 31 29 29 31 34 37 46 60 71 106 103 90 71 48 34 26 24 25 26 28 33 37 41 44 50 56 68 78 68 62 54 44 34 32 35 38 36 30 21 17 16 16 17 18 18 17 17 18 19 19 20 23 26 26 23 22 21 19 18 17 15 15 15 14 12 11 10 9 8 6 5 5 5 5 6 7 7 7 6 3 1 0 0 3 3 3 2 1 0 0 0 0 0 1 0 0 0 0 0 1 1 2 5 11 17 22 24 22 27 17 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 13 22 32 35 34 30 26 21 16 13 13 13 21 42 67 69 73 93 102 88 96 132 149
3 4 5 9 15 23 32 38 41 39 37 36 41 45 46 47 46 45 66 75 75 64 38 26 20 18 20 22 22 24 28 32 33 36 41 52 66 71 69 65 55 38 34 35 37 36 31 23 19 17 17 17 19 18 17 17 16 16 16 18 22 25 25 22 21 22 22 21 20 18 16 15 13 10 9 9 8 8 7 6 6 6 6 6 6 7 6 5 3 1 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 14 11 15 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 6 13 17 22 25 25 24 22 18 13 9 8 7 10 19 34 56 60 58 63 62 55 75 109
2 4 6 10 16 24 33 41 47 49 46 45 54 56 58 59 53 56 62 66 59 37 26 20 16 14 14 16 16 18 21 23 23 26 31 38 48 53 55 58 55 44 43 41 41 41 33 27 23 20 18 17 18 18 18 17 17 17 18 20 23 25 25 24 24 25 26 26 24 20 17 14 11 8 7 7 7 7 7 7 6 6 5 5 5 5 4 3 2 1 0 1 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 10 11 12 12 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 4 6 6 9 20 23 19 15 14 13 11 9 4 3 2 2 4 9 15 51 71 51 36 38 38 44 70
1 3 7 11 17 24 31 40 50 54 55 61 64 59 56 60 54 61 70 73 62 32 22 15 11 10 10 11 11 12 16 18 17 19 25 33 38 41 40 39 39 41 45 44 42 43 36 30 26 23 20 19 19 19 19 19 20 20 21 22 23 26 26 26 26 25 27 28 27 23 18 14 10 7 6 5 6 6 6 6 6 5 5 5 4 4 3 2 1 0 0 1 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 4 6 8 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 9 22 32 27 17 15 13 7 2 0 0 0 0 3 6 10 21 40 41 29 21 19 19 30
1 2 6 10 15 21 27 35 48 59 64 65 64 55 49 58 66 77 86 87 71 41 21 9 5 6 7 7 7 8 12 12 9 10 18 29 31 33 33 30 28 30 35 44 55 49 39 32 28 24 22 21 20 20 20 20 22 23 24 25 25 27 28 27 26 28 29 30 30 26 19 14 10 8 6 5 5 5 5 5 5 5 5 4 4 3 2 2 1 0 0 0 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 4 6 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 21 16 15 16 10 2 0 0 0 0 1 4 8 14 22 36 37 28 20 15 14
0 1 4 9 14 20 23 30 42 56 65 67 62 56 54 64 79 90 96 93 71 46 25 10 6 3 5 5 5 7 9 7 6 8 14 22 25 27 27 26 23 24 29 36 45 43 40 35 29 24 23 23 23 23 23 22 23 26 29 29 29 30 29 27 24 28 31 33 33 28 20 15 11 8 6 6 5 5 5 5 5 5 4 4 3 2 2 1 1 0 0 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 10 6 2 1 0 0 3 7 14 22 26 22 25 33 33 26 17 11
0 1 3 7 13 21 25 30 38 47 60 66 66 61 58 66 87 100 100 90 72 51 28 11 7 6 6 6 7 8 9 9 9 8 8 8 13 17 18 19 13 16 25 32 41 41 39 35 27 23 23 25 26 26 24 24 26 30 34 34 35 35 34 28 27 29 34 38 40 32 23 17 12 9 8 7 7 6 6 6 6 5 4 3 2 2 1 1 1 0 0 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 1 0 0 4 11 18 25 31 29 23 27 26 24 19 11
0 0 1 4 11 21 29 35 39 40 56 65 66 63 61 86 109 117 111 96 76 55 33 16 10 8 7 8 9 10 11 12 11 10 11 14 14 12 11 12 13 14 17 21 25 22 23 26 24 21 21 23 25 25 25 26 29 33 37 39 39 38 38 32 30 32 36 42 43 36 27 20 15 12 10 9 8 8 7 6 5 4 3 3 2 1 1 1 1 1 0 1 2 3 4 5 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 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 2 5 7 13 17 19 17 21 18 13 13 8
0 0 1 4 12 22 31 38 42 42 54 63 67 66 63 111 142 145 136 116 90 63 38 19 11 9 8 9 11 10 11 11 12 11 13 14 15 13 12 13 15 17 19 21 21 23 25 25 21 19 20 22 25 25 26 27 29 33 38 41 41 38 35 33 34 35 38 42 41 34 26 19 14 11 9 8 8 8 7 5 3 2 2 2 1 0 0 0 0 1 0 1 2 4 5 4 3 2 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 3 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 1 3 3 4 6 6 2 1 2
0 0 2 4 11 20 30 39 45 46 54 61 67 68 71 105 138 156 159 136 108 76 43 22 13 10 10 10 11 11 11 10 10 11 14 16 17 13 13 14 16 19 22 23 22 21 19 17 16 18 20 21 20 21 23 26 30 36 40 42 41 36 35 36 37 39 41 41 37 29 19 12 7 5 4 5 5 4 3 2 2 1 1 1 1 0 0 0 1 2 3 4 4 5 5 4 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 2 6 6 4 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
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