Vorticity
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nan 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 8 7 6 6 6 7 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 10 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 9 9 9 10 10 12 13 14 15 15 15 15 13 12 10 9 7 5 2 -1 -3 -3 -3 -2 -1 3 8 14 18 21 23 25 28 30 30 30 30 30 28 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 1 2 2 3 3 4 6 7 7 7 7 8 9 10 11 13 15 16 16 18 19 21 23 26 31 36 40 39 33 29 26 24 23 19 13 8 5 4 3 2 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 1 3 2 1 1 0 1 3 4 7 9 11 10 8 7 6 6 5 4 6 7 10 14 18 21 49 110 203 327 470 637 808 994 1189 1371 1492 1507 1457 1384 1309 1221 1140 1031 974 978 982 966 948 927 922 945 997 1153 1290 1353 1273 1066 877 730 635 612 663 734 771 778 771 761 750 723 693 712 770 859 978 1103 1239 1380 1504 1597 1611 1599 1531 1470 1448 1448 1483 1554
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0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 5 6 7 9 10 12 13 14 16 16 16 15 16 16 18 25 28 29 30 30 27 23 20 18 17 15 12 8 5 3 2 2 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 2 4 7 9 9 5 3 1 1 2 5 7 11 12 12 10 10 11 12 20 33 38 28 22 23 25 30 44 79 155 262 391 528 659 750 824 897 952 997 1044 1028 1016 1023 1054 1062 924 821 804 825 853 897 940 973 1005 1043 1085 1107 1096 1032 933 829 744 704 690 687 682 675 675 678 677 676 680 709 796 913 1042 1167 1275 1356 1421 1422 1381 1331 1335 1416 1477 1479 1435 1447
0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 7 8 9 10 12 13 14 15 15 15 15 16 17 20 24 28 31 31 29 27 24 21 20 19 18 15 10 6 2 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 2 4 7 8 8 6 3 1 1 2 5 8 10 12 12 10 10 11 14 23 36 47 43 38 36 36 39 50 84 149 249 372 500 620 701 746 790 847 894 897 871 863 896 958 1018 1004 922 866 867 878 900 927 945 959 982 1013 1039 1047 1013 938 846 772 733 713 701 688 672 661 656 660 669 685 745 843 956 1063 1173 1279 1355 1391 1385 1356 1312 1333 1396 1451 1449 1389 1397
0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 7 8 9 9 10 11 13 13 13 13 13 13 13 16 20 24 27 29 30 28 26 23 21 19 19 19 17 13 8 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 1 3 5 6 6 7 6 3 1 0 1 4 8 10 12 11 10 9 11 13 20 35 53 58 55 51 49 49 57 88 144 233 348 466 570 648 692 728 786 821 787 753 753 786 860 954 994 974 939 931 903 880 872 878 890 910 936 963 976 963 913 839 779 739 715 701 691 673 659 653 654 667 699 767 861 962 1058 1166 1268 1334 1354 1350 1324 1298 1321 1385 1460 1468 1456 1458
0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 6 7 8 9 9 11 11 10 10 10 11 12 13 14 17 20 23 25 25 25 24 22 20 18 19 18 16 13 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 1 3 5 5 3 2 2 1 0 0 1 5 8 11 13 12 9 7 10 13 18 34 56 70 75 75 78 77 81 104 157 240 340 447 545 623 682 725 760 807 794 741 701 722 800 892 948 947 921 911 884 842 808 803 822 845 869 890 903 898 863 815 769 730 702 691 682 671 661 653 650 667 703 761 840 953 1041 1136 1221 1274 1282 1266 1248 1261 1316 1401 1471 1495 1492 1479
0 0 0 0 0 0 1 1 1 2 2 3 3 4 5 5 6 6 7 8 9 8 8 7 7 8 10 10 11 13 17 21 23 23 22 22 22 17 17 16 16 15 15 13 8 4 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 1 6 10 13 15 13 10 7 9 15 21 33 55 79 102 122 129 118 112 131 181 252 341 439 536 621 680 719 773 830 825 752 707 707 742 804 865 885 858 826 808 796 784 767 777 795 816 834 844 838 819 791 756 719 695 681 672 665 660 651 650 666 699 751 827 922 1007 1094 1185 1246 1235 1213 1221 1286 1371 1445 1488 1500 1486 1445
0 0 0 0 1 1 1 1 2 3 2 3 3 4 4 4 4 5 6 7 7 7 7 6 4 4 6 6 7 10 14 17 18 18 18 18 20 18 18 18 17 16 17 14 10 6 3 1 0 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 1 6 11 14 15 14 11 9 12 18 24 29 45 75 117 170 187 172 155 161 190 250 327 414 504 589 655 729 790 817 805 783 703 665 671 716 789 822 827 816 806 809 820 800 790 792 795 801 810 810 800 780 751 716 690 673 663 656 652 648 652 667 689 749 823 894 966 1050 1156 1222 1230 1211 1230 1360 1456 1507 1514 1489 1461 1395
0 0 0 0 1 2 2 2 4 3 2 2 2 3 2 2 3 3 4 5 4 4 4 5 5 5 3 3 5 6 12 15 17 20 24 28 28 25 24 23 21 19 17 15 12 10 8 4 3 2 3 4 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 1 4 10 14 16 15 13 12 13 18 22 26 34 52 87 158 207 224 217 211 215 254 315 382 443 495 548 611 655 675 719 726 675 631 639 681 781 802 800 808 822 835 851 841 818 797 788 784 788 790 783 769 734 701 676 659 651 643 637 638 648 665 689 743 799 856 919 1009 1106 1175 1203 1205 1245 1364 1448 1502 1523 1458 1404 1311
1 0 1 2 2 3 3 1 2 2 2 1 0 1 1 1 2 2 2 2 2 2 3 5 5 7 9 8 5 6 12 20 27 34 41 45 43 40 35 30 25 22 19 16 14 12 12 8 5 3 3 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 4 3 1 1 0 0 0 0 2 4 7 14 18 18 16 14 12 16 19 22 24 26 41 89 150 212 254 276 282 306 343 382 409 428 467 503 520 511 570 570 562 588 652 665 739 779 783 776 795 802 814 819 806 758 758 758 758 754 742 732 709 684 662 640 635 630 625 627 640 658 690 734 782 831 896 979 1066 1146 1202 1177 1224 1288 1340 1374 1426 1397 1332 1223
2 1 2 3 3 2 2 2 1 1 1 0 0 0 1 1 1 1 1 5 5 4 4 6 3 9 14 15 15 25 30 38 46 52 54 53 51 51 46 36 30 25 22 18 16 15 13 10 6 3 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 2 1 1 1 0 0 0 0 1 3 7 14 19 21 20 19 15 14 15 17 18 16 19 35 63 104 174 239 284 321 359 395 427 459 499 540 577 554 531 496 491 534 638 645 669 713 748 723 741 752 747 735 782 740 723 719 716 714 697 682 669 656 643 624 617 615 613 616 631 649 679 716 756 811 875 950 1034 1111 1131 1117 1140 1186 1236 1270 1307 1310 1260 1161
1 2 2 2 2 2 1 1 5 12 20 24 9 5 4 4 4 6 7 13 17 16 12 7 8 17 23 26 33 53 57 58 59 58 54 50 46 43 41 35 30 28 24 21 19 18 15 12 7 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 2 1 1 1 1 1 0 0 0 0 2 8 16 22 25 24 23 19 14 10 9 14 14 16 19 24 25 50 100 152 198 272 330 396 459 524 582 640 637 600 547 489 522 600 631 631 638 700 692 709 732 733 673 716 719 700 684 671 672 661 644 629 620 615 606 599 595 597 601 614 633 659 690 734 788 842 902 981 1051 1067 1073 1087 1117 1170 1216 1255 1257 1199 1106
1 2 2 2 3 5 11 20 29 37 42 35 24 19 16 13 11 17 18 25 35 43 41 34 29 30 33 35 40 58 61 55 49 42 36 35 33 31 28 26 27 27 25 23 22 20 16 11 6 4 3 3 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 2 1 2 3 2 1 0 0 0 0 3 11 20 28 30 28 25 21 14 7 5 8 10 13 18 22 16 10 17 35 53 101 160 232 301 360 428 482 505 504 501 458 501 575 640 659 611 653 689 712 718 733 647 616 621 639 647 636 635 634 628 610 601 598 595 589 573 578 586 596 611 632 662 709 757 801 846 930 997 1038 1062 1080 1096 1128 1162 1198 1213 1145 1057
1 1 1 3 10 23 40 51 52 46 40 32 29 30 29 26 21 27 34 44 55 64 61 44 34 34 37 38 39 43 41 36 33 30 28 27 26 24 21 20 23 24 24 22 21 19 16 12 8 6 5 5 5 5 5 4 3 2 2 1 2 1 0 0 0 0 0 0 0 0 1 2 3 2 2 2 3 1 0 0 0 0 0 5 16 30 37 36 31 25 18 10 6 5 5 7 9 14 18 15 9 2 2 7 18 36 67 110 135 179 223 258 284 299 308 359 451 568 636 618 629 665 701 676 678 625 551 507 540 569 582 593 601 605 598 591 588 588 580 561 559 564 574 583 600 629 669 715 754 803 878 949 1010 1047 1065 1075 1091 1110 1119 1115 1064 998
1 2 5 16 35 56 63 61 52 40 30 25 26 28 30 30 28 32 40 49 57 65 63 54 44 37 34 33 32 30 28 27 27 26 25 25 24 23 21 19 19 21 23 22 21 19 16 16 18 17 15 12 9 7 7 6 5 5 4 4 4 2 1 1 1 0 0 0 0 1 1 2 3 4 3 3 2 1 0 0 0 0 1 5 16 36 42 41 35 26 15 9 6 5 6 8 9 10 12 13 11 4 2 2 4 7 11 25 37 50 68 95 123 132 148 174 218 331 428 505 570 607 660 637 627 625 624 570 536 522 528 556 559 559 557 558 566 579 567 552 536 531 538 544 559 587 627 676 709 761 836 924 992 1011 1021 1030 1038 1035 1030 1004 959 907
4 12 27 51 79 82 75 61 44 29 23 22 25 27 30 32 31 32 37 45 54 60 63 62 54 40 35 32 30 29 30 28 29 28 26 25 25 27 23 19 18 18 20 20 20 19 19 21 29 32 31 27 23 18 13 8 6 6 5 5 4 3 1 0 0 0 2 4 5 6 6 5 4 5 5 4 2 1 0 0 0 0 0 2 9 29 38 41 36 26 17 10 7 5 6 8 8 7 8 10 14 9 6 3 2 5 8 9 11 13 15 32 48 57 61 63 64 137 240 369 510 544 583 594 588 579 655 654 611 539 474 537 537 524 508 497 519 532 527 507 485 482 488 495 510 537 581 630 672 721 787 877 931 957 965 967 976 969 943 900 850 807
18 35 59 86 105 89 74 61 45 31 26 26 28 32 35 35 34 33 34 40 46 55 66 71 64 48 42 36 32 31 32 30 29 27 26 26 27 30 26 21 17 15 16 16 17 17 17 19 31 39 42 42 40 33 25 17 12 9 7 5 3 2 1 2 2 5 10 15 18 19 16 11 7 5 4 4 3 2 1 0 0 0 0 1 8 21 31 35 31 23 17 12 8 5 6 7 7 6 6 6 10 11 11 8 3 5 6 6 6 5 3 7 11 17 20 23 22 57 143 289 465 492 500 499 496 455 542 602 611 551 395 417 445 458 447 409 418 430 445 451 428 429 436 444 452 476 531 584 634 681 734 817 883 916 919 901 904 901 873 822 777 758
37 50 67 87 99 87 71 56 44 33 29 29 31 34 38 37 36 34 36 40 44 50 63 72 69 58 47 37 31 31 31 30 28 28 27 25 25 27 26 22 17 14 12 12 12 13 14 14 22 29 34 39 38 31 25 20 15 14 12 8 5 3 3 6 11 16 20 24 27 29 26 19 14 10 7 5 4 3 2 0 0 0 1 3 9 18 26 32 30 24 18 13 9 6 6 7 6 5 6 4 5 8 10 11 9 8 8 6 5 3 2 1 0 1 3 5 7 16 45 140 297 377 400 383 376 341 353 396 443 435 316 273 282 329 370 346 331 327 338 370 367 374 388 401 399 432 485 541 592 635 690 758 817 850 838 825 837 843 827 781 747 747
28 35 46 65 81 82 73 59 45 36 31 29 30 33 36 35 33 33 35 42 50 53 58 66 67 61 50 38 30 30 30 29 29 30 29 28 28 28 27 24 19 14 11 10 10 11 11 12 14 16 18 19 18 15 12 11 11 15 17 16 13 11 8 7 7 9 13 16 21 28 31 29 25 19 13 8 5 4 2 1 1 2 6 9 13 19 26 33 32 28 20 14 9 7 6 5 5 4 4 3 3 3 6 8 9 10 10 8 7 6 4 2 0 0 0 2 3 5 9 43 109 183 247 262 259 234 209 200 234 224 188 151 133 190 249 274 284 284 281 296 309 321 330 348 362 391 432 482 539 594 652 696 721 752 768 776 786 804 797 768 737 731
10 15 25 42 62 78 85 77 53 40 32 26 25 29 32 32 31 31 33 38 47 54 60 67 70 64 54 43 33 30 29 29 28 27 28 29 30 30 28 23 20 15 12 10 9 10 10 10 10 10 10 9 8 7 7 8 11 14 16 16 13 8 4 3 4 4 4 5 11 19 28 33 27 21 16 10 5 2 2 3 5 9 16 19 21 24 29 32 30 26 20 14 9 7 6 5 5 4 3 3 3 2 3 5 6 8 9 8 8 7 6 5 3 2 2 2 2 3 10 23 33 44 89 129 158 174 167 138 136 122 107 94 80 113 146 177 207 220 229 245 263 276 282 300 321 344 377 426 485 546 598 625 633 676 710 734 762 771 754 741 728 712
9 10 16 28 45 67 84 84 60 40 28 22 19 22 26 28 29 31 34 38 49 59 65 70 72 68 60 49 38 32 30 28 26 25 27 30 34 34 30 23 18 14 12 10 9 9 8 8 8 6 5 5 4 5 6 8 10 11 12 12 9 5 3 3 3 2 1 2 5 10 15 15 14 12 10 8 5 2 1 3 8 16 26 30 29 30 33 34 29 22 20 14 10 7 5 5 5 4 4 5 5 3 3 3 4 5 4 5 6 6 6 6 5 4 4 3 2 1 7 24 41 23 31 53 79 103 110 113 118 125 127 115 118 136 144 137 142 149 163 183 203 219 225 234 250 276 319 369 413 462 511 554 588 631 653 641 688 735 720 690 689 682
9 10 14 21 32 50 71 78 61 41 26 19 15 17 19 23 26 29 32 38 48 58 66 74 74 71 65 55 42 35 33 31 27 25 26 31 35 36 31 23 18 15 13 10 8 7 7 7 6 4 3 3 3 2 5 6 7 8 8 7 5 3 2 1 1 1 0 0 1 3 6 7 8 7 7 6 5 4 2 2 5 13 24 32 33 35 38 38 35 29 24 17 12 9 6 6 6 5 5 6 6 5 5 4 3 4 3 4 5 5 4 5 5 5 5 5 4 2 2 11 43 38 35 34 37 54 63 72 88 115 151 165 156 165 189 169 144 125 113 113 123 135 143 148 157 192 234 284 339 397 466 526 543 553 594 593 614 666 686 632 615 623
8 9 12 14 21 34 50 59 58 46 32 22 17 16 17 21 25 27 32 40 48 57 63 76 79 76 69 58 45 37 34 32 29 28 27 30 34 36 31 24 19 15 13 10 9 8 8 8 6 4 3 3 3 2 4 4 5 5 4 3 2 2 1 1 0 0 0 0 0 0 2 3 4 5 6 5 5 5 5 4 3 7 13 20 26 35 44 48 48 46 39 28 19 13 9 7 4 4 5 5 5 5 5 6 6 6 5 4 5 4 3 3 3 3 5 5 5 4 4 7 24 38 42 37 35 40 41 37 37 52 82 113 111 98 140 134 128 119 97 77 70 71 75 83 109 146 180 228 300 368 412 458 471 443 493 553 545 542 600 576 537 531
6 6 7 8 12 22 36 49 59 58 48 36 26 22 21 21 20 23 30 41 52 62 64 74 79 79 73 62 49 42 38 35 32 29 28 30 33 34 31 25 19 15 13 11 10 9 8 8 6 5 4 3 3 3 3 3 4 3 2 2 2 1 1 0 0 0 1 1 1 1 1 2 3 4 5 5 5 5 5 5 5 5 6 9 14 28 47 64 71 67 56 43 32 24 19 14 8 5 4 2 2 2 4 8 10 12 10 8 7 5 3 2 2 2 3 5 6 8 12 11 16 28 39 41 47 55 50 30 12 11 15 22 26 13 37 44 50 61 69 63 56 54 57 60 80 112 146 185 239 269 289 330 390 383 374 462 539 478 483 486 468 449
4 3 3 4 6 12 22 39 60 77 81 71 50 38 35 34 27 25 30 43 63 75 76 80 83 83 77 64 51 42 38 36 34 31 30 30 31 32 31 27 21 16 13 12 10 9 9 7 6 5 5 4 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 3 4 5 5 4 4 4 5 6 5 5 5 4 8 19 36 55 69 73 65 52 39 31 27 19 9 4 4 2 2 5 9 15 19 21 21 18 13 7 3 2 3 3 4 5 7 9 9 7 8 16 30 46 62 75 76 44 15 3 0 1 2 0 3 5 6 11 24 37 44 44 53 57 49 57 89 128 166 210 254 281 318 355 319 297 430 442 432 419 392 382
2 1 1 1 3 6 13 30 60 102 143 153 129 98 71 53 45 44 43 52 80 91 97 96 91 88 79 68 57 47 40 38 37 34 31 30 30 32 32 31 26 21 16 13 12 11 9 7 7 7 7 6 4 4 3 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 5 12 24 40 56 63 62 57 53 44 33 19 7 4 5 4 5 9 19 24 29 31 30 24 19 12 7 5 4 5 5 5 6 8 7 6 5 9 17 24 39 61 79 63 34 13 4 1 1 0 0 0 0 1 3 10 18 15 16 29 38 35 53 87 118 166 236 253 228 264 307 261 302 330 341 337 316 314
2 1 0 1 2 4 11 30 69 127 185 220 194 138 91 60 47 43 48 62 81 95 108 110 103 95 85 75 63 51 43 41 38 36 33 31 31 32 33 32 30 25 18 15 14 11 9 8 8 8 7 6 6 5 4 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 4 4 4 4 3 3 3 3 3 3 2 2 4 9 17 28 39 48 53 58 65 58 39 18 6 3 4 3 3 5 15 25 33 38 36 28 23 17 11 6 5 5 6 5 5 5 5 6 6 6 9 15 28 47 64 78 74 54 35 22 10 2 0 0 0 0 0 1 2 2 1 7 19 23 37 71 102 100 125 149 145 162 231 254 257 253 245 256 254 253
3 2 1 1 2 4 12 32 64 97 140 201 216 179 119 71 48 39 39 49 64 82 99 111 116 107 97 86 73 61 51 45 41 39 36 34 34 34 34 34 31 27 21 17 14 11 10 10 10 10 9 8 7 6 5 5 4 6 7 7 8 8 8 8 9 9 9 8 7 6 5 5 5 5 5 4 3 3 3 2 2 2 1 2 4 9 17 22 26 29 33 46 58 58 44 23 9 4 2 1 0 0 4 13 25 36 37 32 23 17 13 7 6 7 8 7 6 4 3 4 4 3 5 8 11 19 38 63 89 111 124 87 47 21 9 2 0 0 0 0 0 0 0 1 3 7 13 29 55 54 61 78 91 98 122 132 163 195 194 203 205 198
5 4 3 2 3 4 11 25 45 58 91 156 209 213 149 81 48 36 32 38 51 67 84 99 108 110 111 105 89 70 59 51 46 43 40 38 37 36 37 39 35 29 24 20 15 13 11 11 12 12 11 11 9 8 7 6 6 7 8 9 10 10 10 11 12 12 11 10 9 7 7 7 7 7 6 6 5 4 3 2 2 1 1 1 2 11 20 22 18 9 9 21 34 42 45 29 14 5 1 0 0 0 1 3 10 27 34 34 27 20 15 10 7 8 10 10 8 5 4 4 4 4 6 8 6 7 17 37 65 98 128 116 80 52 41 19 1 0 0 0 0 0 0 1 1 0 1 3 10 17 31 44 43 46 48 58 78 107 113 125 133 127
6 7 6 6 5 5 7 11 19 33 58 99 151 206 140 80 45 32 25 28 38 53 67 79 86 94 98 96 88 76 68 62 58 52 47 43 41 40 40 43 39 34 29 23 18 15 13 13 13 12 13 12 11 10 9 8 8 8 9 10 12 12 12 12 13 13 12 11 11 11 11 11 11 9 9 7 6 5 4 3 3 3 3 3 4 14 23 25 14 4 1 5 12 20 36 28 15 5 0 0 0 0 0 1 4 18 29 35 33 25 18 12 7 8 10 11 10 8 8 7 6 7 8 8 7 7 11 21 36 58 69 68 66 65 69 55 21 1 0 0 0 0 2 5 5 1 0 0 0 0 4 13 13 25 34 34 39 51 48 47 62 74
6 9 11 10 8 7 6 6 6 11 15 26 52 107 62 42 36 31 21 20 25 34 47 59 68 79 83 78 72 66 60 56 56 56 54 49 45 45 48 48 45 41 36 29 22 16 13 11 12 12 12 13 12 13 11 10 9 9 9 10 11 12 12 12 14 14 15 15 15 14 12 12 11 9 9 8 7 6 4 4 3 4 4 4 7 15 24 29 12 4 1 2 3 4 17 20 15 7 2 0 0 0 0 0 4 13 25 35 32 26 19 11 6 12 16 17 14 11 11 10 10 10 11 10 8 7 8 12 18 25 33 38 54 72 84 79 46 11 0 0 0 0 1 6 9 6 2 1 0 0 0 1 2 16 40 34 21 20 17 13 26 44
5 10 13 14 12 10 10 8 7 8 12 22 40 62 60 49 34 18 14 11 13 19 28 41 50 58 64 64 60 54 47 41 40 44 48 54 57 51 56 58 55 50 44 35 26 20 16 13 11 12 12 13 14 14 13 12 12 11 11 11 11 11 12 12 14 14 15 14 13 13 12 11 10 9 8 8 7 6 5 4 4 4 4 5 8 14 22 23 9 2 1 2 0 0 5 10 13 9 5 1 0 0 0 0 3 10 21 34 35 30 22 14 9 15 20 21 15 12 11 11 11 13 13 12 10 8 7 9 13 16 15 20 39 61 76 70 38 14 3 2 0 0 0 4 10 9 4 1 0 0 0 3 6 8 12 15 8 3 2 4 10 21
4 8 14 18 16 14 12 11 10 10 14 24 52 76 79 60 25 7 5 5 7 11 14 21 30 39 48 51 46 42 38 33 30 32 36 42 50 60 66 70 68 57 50 42 34 27 21 17 15 13 13 13 14 16 16 15 14 13 13 12 11 12 13 14 16 18 18 17 16 14 12 11 10 9 9 8 7 6 6 5 5 5 5 5 8 12 20 12 4 1 1 2 1 0 1 3 9 8 4 1 0 0 0 0 1 6 25 38 39 33 22 16 13 15 17 16 12 10 10 10 11 13 14 13 11 9 7 7 10 12 12 12 22 36 42 38 24 13 9 8 3 0 6 16 18 13 6 2 1 0 0 7 23 38 13 1 0 0 0 0 2 7
3 8 15 21 22 18 16 15 12 11 15 29 67 94 116 110 41 15 5 2 2 3 8 12 17 23 29 32 33 32 30 26 22 23 26 30 33 39 50 63 70 64 62 54 42 33 26 22 19 17 15 14 16 19 20 19 18 16 15 14 13 13 15 17 19 22 23 21 19 16 12 11 10 10 9 8 8 7 6 6 6 6 6 7 7 8 11 8 4 1 2 2 1 1 0 0 5 6 3 0 0 0 0 0 0 2 17 29 30 23 13 9 9 10 11 9 9 9 10 12 14 15 15 13 12 10 8 8 11 15 13 12 15 18 18 15 12 11 16 19 19 24 35 44 32 16 5 0 0 0 0 4 25 49 29 3 0 0 0 0 0 1
2 6 14 21 24 24 22 18 14 11 15 37 64 85 110 122 52 23 8 2 0 0 5 8 11 15 19 22 24 25 25 22 17 16 18 21 23 27 32 40 53 63 69 64 52 41 32 26 23 21 19 17 19 21 23 24 23 20 17 15 13 16 18 20 22 24 26 24 21 17 13 11 10 10 9 8 8 7 6 5 5 6 6 6 6 6 6 6 5 2 2 2 2 1 0 0 1 2 1 0 0 0 0 0 0 1 4 5 6 6 4 2 2 3 4 3 3 4 7 9 12 15 16 12 12 10 9 9 12 15 13 11 10 9 6 4 3 6 15 22 28 32 36 38 25 9 1 0 0 0 0 0 4 7 7 2 0 0 0 0 0 0
1 3 10 18 24 27 25 21 17 13 11 20 37 50 61 74 55 35 16 2 0 0 1 2 4 7 11 13 14 16 22 16 10 7 9 15 16 19 24 30 39 51 61 68 69 55 40 32 27 24 22 21 21 23 26 29 27 24 21 18 16 18 21 23 26 28 28 26 22 18 14 12 11 10 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 2 1 1 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 1 2 3 5 8 11 10 10 11 11 10 13 14 11 8 7 7 6 5 2 2 6 9 10 11 11 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 7 15 22 29 27 26 23 18 11 10 14 26 43 65 69 52 27 6 0 0 0 0 0 0 3 3 3 5 6 5 4 4 7 10 10 13 17 23 30 40 49 57 62 56 48 41 34 29 26 24 24 24 27 29 29 27 24 21 20 21 23 23 26 29 30 28 24 20 17 14 12 10 8 9 8 7 6 5 4 3 3 3 3 3 3 4 3 2 2 1 2 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 1 1 2 4 8 9 10 12 11 12 12 11 10 6 6 8 9 6 2 0 1 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 5 11 19 27 28 27 25 23 18 18 24 36 55 78 87 72 42 16 4 0 0 0 0 0 0 0 0 1 2 4 5 4 2 1 3 6 8 12 10 20 35 47 55 55 52 47 39 35 31 30 29 29 30 31 32 32 29 26 26 25 24 20 25 29 32 31 27 23 20 17 14 11 10 9 8 6 6 5 4 4 3 3 3 4 4 4 3 1 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 1 2 3 3 5 7 10 10 10 9 9 7 6 7 9 8 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
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