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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 8 8 9 10 11 13 15 14 11 9 8 8 12 18 21 18 11 5 3 5 7 8 8 8 7 8 9 10 10 9 8 8 8 9 10 11 10 9 8 8 9 11 12 12 10 9 8 7 6 7 9 11 12 12 12 12 13 14 13 9 5 4 4 6 7 8 10 10 11 13 16 17 16 13 10 9 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 8 9 9 nan
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nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 9 10 16 24 30 33 30 23 15 10 6 4 5 8 13 17 17 15 14 13 12 12 10 10 11 13 14 13 11 10 10 11 12 13 12 12 11 10 10 9 9 8 7 7 7 8 9 10 10 10 9 7 6 6 7 9 9 8 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 11 10 10 11 10 10 9 8 8 9 9 9 8 8 8 9 10 12 13 13 12 12 12 12 12 12 11 10 9 9 8 8 7 6 5 5 6 8 9 10 9 8 6 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 10 13 17 21 22 18 15 13 11 11 11 10 10 10 10 10 9 7 5 5 9 16 24 29 30 28 24 19 16 nan
nan 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 10 14 22 28 30 28 21 12 8 5 3 4 8 12 16 17 15 14 13 13 13 12 13 13 13 12 10 8 8 10 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 7 8 10 11 12 11 9 8 7 6 6 5 5 5 6 7 8 9 10 11 11 12 11 11 10 10 9 9 8 9 9 9 9 9 9 9 10 11 12 11 11 11 12 13 14 14 13 11 10 9 8 9 9 10 9 8 7 7 8 10 11 11 10 8 7 6 5 5 5 6 6 8 9 9 9 10 10 10 9 9 10 11 15 18 21 21 18 15 13 11 10 10 10 10 10 10 9 7 5 2 4 10 17 22 23 22 19 17 17 15 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 10 14 20 28 30 27 22 13 6 4 3 3 7 11 15 17 17 16 14 13 13 13 14 15 14 12 10 8 7 9 12 13 13 13 12 12 12 11 12 13 14 14 13 12 11 10 10 10 10 9 8 8 10 12 13 13 13 11 9 7 7 6 6 6 6 7 6 6 6 7 8 10 12 13 13 11 10 9 8 8 9 9 9 9 9 9 10 11 13 13 12 11 11 12 13 15 14 12 11 10 9 9 9 10 12 12 11 9 8 8 9 11 11 11 9 7 6 6 6 6 6 7 8 9 10 10 10 9 9 9 10 11 14 17 19 20 19 16 14 12 11 10 9 9 8 8 9 8 5 3 3 6 11 15 16 15 13 12 12 14 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 13 20 28 33 32 26 18 10 6 4 4 6 10 15 18 19 18 16 14 13 13 14 15 15 13 10 7 6 7 10 13 14 16 16 15 14 13 14 15 16 17 17 15 12 10 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 8 8 8 7 7 6 5 4 4 5 8 11 13 13 12 10 9 8 8 9 9 9 9 9 9 10 12 13 13 11 9 9 10 11 13 13 12 12 11 11 10 10 12 14 15 13 11 9 7 7 9 10 10 9 8 7 7 7 7 7 8 9 9 10 9 9 9 8 9 10 12 15 18 19 18 17 15 13 12 12 11 9 8 7 6 6 5 3 3 6 10 13 14 12 9 8 9 10 12 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 13 21 28 34 35 29 22 15 9 6 5 5 8 14 18 20 20 18 15 14 13 14 16 16 14 11 7 5 6 9 12 15 17 18 17 16 14 14 15 16 17 17 15 12 11 10 11 11 10 10 10 9 9 9 9 10 11 11 12 11 10 9 8 8 7 7 6 5 4 4 6 8 11 12 12 11 9 9 9 9 9 9 8 8 8 9 10 12 12 10 8 7 7 9 11 12 12 12 12 11 11 12 14 15 15 14 11 9 7 6 7 8 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 9 10 11 12 14 16 17 16 15 14 13 12 12 10 9 7 5 3 2 0 -0 3 9 13 15 13 9 6 6 8 10 12 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 12 20 27 32 34 29 22 16 10 6 5 5 7 12 17 19 20 19 17 16 15 16 16 16 14 11 7 5 6 9 12 15 16 17 16 15 13 13 14 15 16 15 13 11 11 11 12 12 12 11 10 9 8 8 9 10 13 14 13 12 10 9 7 6 6 7 8 7 7 6 6 7 9 11 11 11 10 9 9 10 10 10 10 9 8 8 9 10 10 10 9 8 8 8 10 11 12 11 11 11 12 13 15 15 14 12 10 8 7 6 7 8 8 9 8 8 8 8 8 8 7 7 7 8 9 9 10 11 12 12 13 14 14 13 12 12 12 12 11 10 9 7 5 2 -1 -3 -3 0 7 13 15 15 11 7 5 5 8 11 12 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 18 26 31 32 28 19 12 8 5 4 5 7 11 15 18 19 18 17 16 16 16 16 15 13 11 8 6 7 10 12 14 15 15 15 14 14 14 15 15 15 14 11 10 10 11 11 12 12 11 10 9 9 9 11 13 15 15 12 9 7 5 4 4 4 6 8 9 10 9 7 7 8 10 11 11 10 9 9 10 11 11 11 10 9 8 8 9 10 11 11 11 11 10 10 11 11 11 10 10 11 12 14 14 13 11 10 8 7 7 8 9 9 9 8 8 8 9 10 10 9 9 8 8 9 9 10 11 12 14 15 17 15 11 9 9 9 9 9 8 6 5 3 -0 -4 -5 -4 4 12 16 16 13 10 7 6 7 9 11 13 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 12 16 24 30 31 26 17 9 5 3 3 4 7 10 13 16 17 16 15 14 14 14 15 14 12 10 8 6 7 9 12 14 14 14 14 13 14 16 17 18 18 16 13 11 10 10 10 11 11 10 9 9 10 12 15 18 18 15 10 5 3 2 2 3 3 5 8 10 11 10 9 8 8 9 10 10 9 8 8 9 10 11 11 11 10 9 8 9 10 11 13 13 13 12 10 11 11 11 11 11 10 9 10 11 12 11 10 9 7 8 9 10 10 10 9 8 9 10 12 12 12 12 11 10 10 9 9 9 10 13 17 21 20 16 11 8 7 7 7 5 3 2 1 -1 -4 -5 -1 7 14 15 14 11 9 8 8 9 11 12 13 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 16 22 28 30 25 17 11 7 5 4 4 6 9 12 13 14 13 11 10 11 12 13 14 13 11 9 7 6 8 10 12 13 13 13 12 14 16 18 21 21 20 19 16 15 14 13 12 11 10 9 9 11 15 19 22 21 15 7 2 0 1 3 4 5 7 9 11 11 10 9 8 8 8 9 9 9 8 7 8 9 10 12 12 11 10 8 8 9 10 12 13 12 11 10 10 11 12 13 13 11 9 8 9 10 11 11 11 10 10 10 11 11 10 9 9 10 12 13 13 13 13 12 12 11 10 9 8 9 12 18 24 25 22 17 12 8 6 5 2 1 1 1 0 -3 -3 1 6 11 11 10 9 9 10 11 11 12 12 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 15 21 27 30 27 20 15 11 7 5 4 4 8 11 11 12 11 9 8 8 9 12 14 15 15 12 8 6 6 8 10 11 11 11 11 12 13 15 17 19 20 21 20 20 20 19 18 16 13 11 11 13 17 21 23 21 13 5 -1 -2 1 5 8 10 12 12 12 11 9 8 8 7 7 8 8 8 8 7 7 8 9 11 12 11 10 9 8 9 9 10 10 10 9 8 8 10 11 13 14 14 13 11 10 9 9 10 11 12 12 12 12 11 10 9 9 11 13 14 15 14 13 12 11 10 9 9 10 12 15 20 24 26 24 21 16 11 6 3 0 -0 1 3 4 1 -1 2 4 6 7 7 7 9 11 12 12 12 12 12 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 13 21 27 32 30 23 17 13 9 5 3 3 6 9 10 11 11 10 8 7 8 11 14 16 17 14 9 6 5 6 8 9 10 10 9 9 9 9 10 12 14 16 18 20 20 21 21 20 17 17 17 18 19 21 21 17 9 1 -3 -4 -1 6 12 16 17 15 13 11 9 7 7 7 6 7 7 8 8 8 7 8 9 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 10 12 15 17 18 17 14 11 9 9 11 13 13 13 12 11 10 8 8 9 12 15 16 16 14 12 9 8 8 10 13 17 19 21 22 22 21 20 16 11 6 2 -1 -0 2 5 7 6 3 3 3 4 4 5 6 8 11 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 12 18 26 31 31 24 16 12 8 5 3 2 5 8 10 12 13 13 12 9 10 11 13 14 14 11 7 4 4 5 7 8 9 9 8 8 7 6 6 6 7 9 11 13 14 14 16 17 18 20 21 22 22 21 17 12 5 -2 -5 -6 -3 6 14 18 19 17 14 11 9 7 6 6 6 6 7 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 7 7 7 7 8 8 9 10 14 18 21 20 17 13 9 8 10 12 13 14 14 13 11 8 6 7 10 13 16 16 15 12 8 6 6 8 13 19 21 21 19 18 17 15 13 9 4 1 -0 -0 2 6 8 9 7 6 5 4 4 4 5 7 9 11 12 12 13 12 12 nan
nan 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 12 16 24 30 30 25 16 11 8 5 3 3 5 7 11 14 15 16 16 13 12 11 12 11 9 6 3 3 4 5 7 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 8 10 14 18 22 24 24 21 16 10 5 -0 -4 -4 -2 5 13 17 18 17 14 11 10 8 7 6 6 6 7 8 10 10 9 8 8 8 9 9 10 11 11 10 9 9 8 8 8 8 8 7 8 9 12 16 19 19 16 13 9 6 7 9 11 14 16 17 15 12 9 8 9 11 13 15 14 11 8 5 5 7 10 15 17 17 16 14 13 12 10 8 5 2 1 0 2 5 8 9 9 8 7 6 5 5 6 7 8 9 10 12 13 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
47 45 44 41 38 36 35 36 36 32 32 31 29 25 21 20 22 23 24 24 24 24 24 25 23 21 22 24 26 28 27 23 20 16 13 12 13 12 11 12 14 15 14 8 6 4 3 4 5 6 7 9 13 16 17 16 17 19 15 19 20 18 16 15 14 13 12 9 8 8 7 6 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 5 4 3 3 4 4 4 4 3 3 2 2 2 2 3 2 1 0 0 0 25 122 294 310 187 74 18 2 0 2 9 77 663 498 363 300 318 347 365 381 401 445 517 595 643 634 587 565 588 630 668 678 646 582 529 513 528 578 699 925 1161 1231 1068 944 1016 1091 1416 2033 2422 2252 1713 1353 1132 1053 1191 1228 1076 939 1071 1481 1961 1939 1553 1304 1194 1093 992 929 865 814 753 686 622 568 522 480 435 389 340 284 223 162 109 67 39 16 4
44 42 38 34 31 30 31 32 31 27 27 25 22 19 17 18 20 22 23 22 21 22 23 24 21 20 21 23 25 26 25 21 18 16 12 9 8 8 8 10 13 15 12 7 4 4 3 4 5 6 7 9 12 14 16 16 16 16 15 17 18 17 15 13 12 10 10 9 8 8 8 8 7 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 51 213 416 390 170 32 2 0 2 11 27 52 104 173 228 278 316 341 360 379 404 451 518 581 609 594 557 537 554 603 655 672 636 567 505 478 501 583 737 921 1066 1107 1033 987 1099 1060 1139 1431 1667 1740 1626 1286 999 948 1160 1229 1069 943 1108 1513 1933 1824 1402 1187 1103 1040 971 920 857 806 742 675 615 567 529 494 455 413 368 305 236 169 112 68 38 12 3
38 35 30 27 26 24 26 28 28 25 22 20 17 17 18 19 19 21 21 19 18 19 20 21 22 21 21 21 22 22 22 20 19 17 11 7 6 6 8 9 11 11 8 5 4 4 4 4 5 6 7 10 13 15 16 16 15 14 14 14 15 14 13 11 10 9 8 8 7 7 8 7 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 0 0 0 0 0 82 287 424 320 103 3 0 2 9 28 54 83 124 179 238 282 313 337 362 393 432 479 524 549 550 538 524 526 558 612 665 668 618 550 501 494 540 638 772 878 919 894 864 885 943 942 976 1051 1156 1329 1364 1146 943 884 1000 1056 993 1000 1205 1521 1721 1549 1236 1128 1066 1005 935 867 809 756 701 647 599 560 527 492 451 402 353 285 213 145 90 50 25 6 0
35 29 23 20 21 23 24 26 25 23 21 20 19 19 19 18 18 18 19 18 18 18 17 20 23 23 22 20 20 20 19 21 24 21 11 8 7 7 8 8 7 7 5 4 4 4 4 5 5 6 7 10 14 15 16 17 15 13 14 14 14 14 12 11 10 9 8 8 7 6 7 7 5 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 147 350 372 213 47 0 0 7 25 44 76 114 158 212 263 294 323 356 395 444 496 537 546 530 505 490 493 518 564 617 658 652 598 535 493 494 538 604 672 744 793 799 789 792 813 838 822 869 997 1106 1097 979 879 866 896 944 1027 1168 1351 1473 1448 1282 1136 1120 1057 967 873 795 736 691 648 604 563 528 494 456 410 355 301 237 169 109 65 33 12 2 0
29 27 25 24 24 23 22 23 23 22 22 21 20 18 17 16 16 17 17 17 18 19 18 21 21 21 21 19 17 16 16 17 18 16 11 9 8 6 6 6 5 5 3 3 3 4 4 5 5 6 7 10 14 16 18 17 15 13 14 16 15 14 13 11 10 9 8 7 7 7 7 7 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 14 218 379 297 124 15 1 5 20 46 53 85 125 168 221 273 309 350 401 459 520 570 588 560 511 469 451 460 498 554 607 641 645 613 555 502 479 487 516 556 625 700 740 739 720 709 723 767 881 1004 1037 975 888 849 881 950 1028 1160 1316 1389 1341 1236 1150 1121 1107 1015 909 819 753 702 657 615 573 531 491 450 408 362 313 262 201 147 104 77 47 18 3 0
27 26 26 26 24 22 21 20 20 21 22 24 21 18 17 17 16 16 16 16 17 17 18 19 17 18 17 16 15 14 14 13 12 11 10 9 7 6 5 5 5 5 4 3 3 3 4 4 5 6 8 10 12 14 15 15 14 14 14 16 15 14 12 10 9 9 8 7 7 7 7 6 5 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 44 218 328 201 59 4 4 17 38 57 58 88 124 164 213 270 326 386 450 511 560 585 574 528 473 430 414 428 467 517 570 617 650 652 603 534 476 448 450 481 543 621 662 649 616 610 676 841 1075 1286 1157 970 870 888 988 1092 1152 1268 1347 1287 1197 1148 1142 1135 1068 953 865 816 780 735 678 619 573 535 501 458 413 372 330 282 223 164 119 88 56 25 6 0
28 27 24 21 21 24 23 22 21 20 22 25 23 19 17 16 15 14 15 15 14 15 16 17 15 13 12 12 13 14 14 12 11 10 9 7 6 5 5 6 6 5 4 3 4 3 4 5 6 7 9 10 11 12 13 13 13 13 13 14 13 12 11 9 8 8 8 6 6 7 6 5 4 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 50 159 210 113 19 1 3 16 35 51 62 90 128 163 204 261 331 402 463 501 515 510 489 457 421 390 378 393 422 455 493 541 598 642 630 560 485 434 418 432 469 519 552 545 530 559 677 926 1325 1788 1452 1035 905 1016 1276 1446 1400 1365 1287 1175 1125 1135 1153 1121 1026 929 891 897 877 813 728 651 606 591 582 543 496 456 413 358 285 204 144 107 72 38 14 4
30 31 28 24 24 26 23 22 21 19 20 22 23 21 15 13 12 12 13 14 13 13 14 15 13 11 13 12 14 15 15 14 12 9 7 7 6 5 5 6 6 5 4 4 4 3 3 5 6 8 10 11 13 14 13 12 12 12 12 13 14 13 12 10 9 8 7 6 6 7 7 6 4 4 3 3 3 4 4 4 4 4 4 5 6 5 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 12 78 136 125 55 0 0 0 4 18 40 64 93 124 151 184 238 306 372 417 432 422 411 400 387 367 348 342 351 366 380 395 422 473 538 573 550 486 425 389 379 389 412 433 443 473 555 690 916 1141 1194 1096 958 954 1166 1582 1858 1781 1499 1246 1108 1115 1153 1143 1071 976 922 941 988 957 858 763 696 665 674 684 650 594 546 497 438 366 283 209 166 129 87 49 27
29 32 31 27 26 25 21 20 17 15 15 17 19 18 13 13 13 13 13 14 13 12 13 13 12 12 13 12 13 15 16 15 13 11 9 9 6 5 6 6 6 5 4 3 4 3 4 5 8 15 13 11 12 13 12 11 11 12 12 13 13 12 11 10 9 8 7 7 6 7 6 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 6 6 6 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 83 140 123 69 20 0 0 0 0 6 25 56 88 114 137 160 204 259 314 351 361 353 347 342 333 318 306 303 307 310 307 302 306 339 397 452 469 436 380 340 324 329 343 358 379 437 570 713 841 911 922 921 943 1060 1324 1683 1951 1841 1454 1159 1055 1099 1155 1117 1020 938 922 975 1036 1009 899 807 752 738 746 745 707 620 562 523 491 450 395 341 301 260 195 132 87
31 31 28 24 23 23 21 19 16 14 13 13 13 12 12 15 16 16 15 15 16 16 17 18 13 14 15 16 17 18 18 16 15 14 13 12 9 8 7 7 6 5 4 4 3 3 4 4 6 10 10 9 9 10 10 10 11 12 11 10 10 10 10 9 9 8 7 7 6 6 5 6 4 4 4 4 4 5 5 4 4 5 6 6 6 5 5 6 5 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 23 190 154 80 26 3 0 0 0 0 1 10 42 79 107 132 150 176 217 268 310 330 329 323 314 302 287 275 270 269 264 250 232 224 243 285 327 345 330 294 274 272 285 301 317 347 417 560 703 804 836 831 850 950 1148 1413 1556 1715 1594 1305 1087 1014 1059 1103 1063 1000 969 985 1026 1046 1010 927 895 867 839 819 786 697 547 479 479 511 537 535 512 490 457 356 253 177
25 26 23 19 18 20 19 18 17 15 14 14 13 13 16 20 21 18 23 23 23 24 26 26 22 24 26 28 27 25 22 19 19 19 19 18 15 12 12 10 8 6 5 4 3 4 4 4 5 6 7 6 7 8 8 8 9 10 10 10 9 9 9 9 8 7 7 7 6 6 6 5 4 4 4 4 5 5 5 5 4 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 44 152 91 28 6 0 0 0 0 0 0 3 38 76 107 134 152 162 195 253 306 332 332 320 310 302 283 264 251 242 231 213 192 180 188 210 229 233 219 202 205 231 261 277 292 324 390 506 632 713 734 743 800 941 1142 1324 1260 1260 1170 1059 999 998 1010 1002 982 1012 1076 1113 1098 1043 991 981 1048 1063 1007 931 816 630 418 329 368 460 556 623 653 653 616 488 342 241
25 23 20 17 16 19 17 16 17 17 17 17 18 20 18 21 23 25 26 26 26 27 28 28 29 31 33 34 35 30 25 23 23 23 21 20 17 16 18 16 12 8 5 3 3 3 4 5 5 5 5 5 6 6 6 7 8 9 9 9 10 10 9 8 8 8 7 7 6 5 6 5 4 5 4 4 3 3 4 5 5 5 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 1 0 0 0 0 0 2 47 86 39 3 0 0 0 0 0 0 1 7 51 89 109 122 137 153 191 260 321 347 343 328 321 320 301 272 251 235 218 198 176 157 151 155 161 158 148 143 155 185 228 252 270 297 346 426 528 607 643 680 774 908 1033 1078 953 871 848 880 940 982 972 933 915 993 1104 1152 1116 1030 966 987 1081 1135 1104 989 797 540 288 180 217 306 418 541 655 723 695 523 334 238
23 22 19 17 18 19 18 18 20 20 18 17 16 16 15 15 15 17 18 21 23 24 24 25 27 28 29 29 29 27 24 22 21 20 18 16 14 17 21 19 14 9 5 4 4 4 3 3 5 6 6 6 6 6 6 7 9 9 9 9 9 9 8 8 7 7 7 7 6 6 5 4 5 5 4 3 3 3 4 4 5 5 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 3 2 1 0 0 0 0 0 26 75 69 25 0 0 0 0 0 0 1 6 24 72 96 91 85 92 123 181 261 332 363 364 351 343 340 322 294 272 251 226 196 166 140 123 118 117 116 111 109 116 137 176 212 235 256 294 368 479 596 676 723 772 820 853 847 788 748 762 834 912 956 947 902 869 897 971 1033 1062 1050 1012 984 975 998 1027 935 715 428 180 74 91 138 210 340 521 650 633 499 305 209
26 23 19 16 18 20 21 22 21 19 16 14 12 12 13 15 15 18 20 21 22 25 28 29 29 27 30 32 25 21 20 19 19 17 15 14 14 17 20 18 13 9 6 5 4 4 4 4 6 7 6 6 7 7 7 8 8 9 9 10 10 9 8 7 8 7 7 7 6 6 5 4 5 4 4 3 3 4 4 4 5 5 6 6 6 4 4 3 3 3 3 3 3 3 2 2 2 2 1 2 1 2 2 2 2 2 2 1 0 0 0 0 0 5 108 169 107 35 2 0 0 0 0 0 2 17 48 82 80 50 35 37 69 132 220 312 379 414 415 394 368 345 324 305 274 236 193 153 123 103 90 85 83 78 74 80 98 128 166 193 222 278 383 532 687 806 835 743 678 664 679 701 728 773 838 885 911 907 866 816 790 807 876 987 1090 1108 1008 883 924 979 872 622 337 123 32 32 50 94 196 354 499 542 455 309 193
28 24 20 18 20 20 20 21 21 19 14 12 11 13 15 16 17 22 20 21 22 26 29 29 26 24 23 21 20 23 25 23 17 16 16 17 19 19 17 15 12 9 6 5 4 5 5 6 8 8 7 8 8 8 8 8 9 9 9 10 10 9 8 7 8 7 7 7 6 5 4 4 5 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 2 2 2 2 3 2 2 2 2 1 1 0 1 1 2 2 1 0 0 0 0 0 0 0 42 210 298 174 60 9 0 0 0 0 2 12 41 68 72 47 15 4 3 18 62 142 252 369 449 460 432 394 363 343 320 282 232 179 137 109 90 73 61 52 46 41 44 62 92 127 166 221 316 444 585 720 821 848 660 540 502 531 599 676 749 779 774 773 780 775 746 708 697 742 875 1031 1118 1065 966 1016 1002 878 620 322 112 31 27 34 52 103 191 302 382 377 291 190
24 22 20 20 20 19 16 17 17 14 13 13 14 17 16 16 16 16 16 19 20 24 26 26 23 20 19 27 31 29 31 34 29 20 18 20 20 17 13 11 12 9 8 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 0 0 0 0 0 0 0 75 232 308 165 49 8 0 0 0 2 7 30 59 61 44 21 6 1 0 1 18 71 171 303 420 450 423 395 376 356 325 284 232 174 131 105 86 66 47 34 29 28 33 49 75 109 159 237 348 444 520 602 682 707 620 514 457 465 517 584 637 649 647 659 686 712 703 662 626 643 739 900 1057 1063 999 961 896 835 617 319 120 53 48 31 17 35 94 166 232 269 251 196
18 21 19 18 17 16 15 14 12 12 13 14 13 12 13 13 13 14 17 20 20 22 26 27 26 24 23 18 21 27 27 26 23 19 16 16 15 13 13 14 14 11 10 8 8 8 7 6 7 8 9 9 10 11 10 9 9 9 9 9 8 6 7 7 7 7 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 1 0 0 1 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 99 186 165 60 4 1 0 1 3 9 19 33 49 32 17 10 8 6 3 0 3 27 91 198 310 362 372 399 401 382 350 308 254 191 138 104 79 58 40 27 22 24 33 51 75 110 166 246 332 371 373 398 473 570 627 597 545 503 483 493 520 543 563 585 621 669 694 689 688 715 691 740 873 888 850 839 832 800 667 440 265 165 100 41 16 25 64 117 169 209 215 179
18 20 19 16 14 13 13 13 12 11 11 11 10 9 10 10 11 13 18 20 20 20 18 25 27 26 25 25 23 29 27 27 24 20 18 16 15 16 20 20 16 13 14 13 12 10 8 7 7 8 9 10 10 10 9 8 8 8 8 8 7 7 6 7 7 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 1 0 0 0 0 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 106 118 61 15 0 0 2 7 15 22 25 17 16 7 9 13 15 14 8 3 1 7 35 95 175 252 330 403 425 423 394 345 283 213 148 103 72 49 33 22 16 24 38 62 85 119 174 241 298 310 293 301 349 432 522 573 564 506 452 433 449 479 507 530 566 647 762 789 766 749 673 536 553 617 699 779 836 843 767 594 456 320 176 69 31 33 62 94 129 158 160 125
19 18 17 14 11 11 12 11 11 10 10 12 10 9 10 11 11 15 16 18 19 20 20 23 25 24 24 22 20 22 25 24 23 22 21 21 20 20 17 17 15 16 19 19 16 13 9 8 7 8 9 10 9 9 9 8 7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 1 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58 45 17 2 0 2 13 31 37 26 11 0 2 5 14 19 20 17 11 5 0 1 9 34 88 176 291 395 445 451 420 362 289 214 147 103 72 48 31 18 14 28 52 79 103 136 182 235 279 303 315 327 328 337 372 424 452 433 405 389 394 419 452 486 537 677 1006 946 809 732 633 469 507 599 669 718 755 771 730 648 582 434 259 136 84 64 58 69 85 94 87 61
15 15 15 15 14 13 12 10 8 10 11 12 12 13 12 11 11 11 12 14 17 19 18 19 23 25 26 25 22 21 22 20 20 20 20 20 19 16 13 13 15 18 19 19 18 14 11 9 8 8 9 9 8 9 8 8 7 7 7 7 6 7 8 8 7 5 5 4 4 4 3 3 3 3 3 3 3 3 2 1 2 2 2 1 0 1 0 0 0 0 0 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 7 25 49 22 5 1 6 22 45 60 44 15 2 3 9 15 18 19 18 15 9 3 0 0 1 10 45 116 221 338 420 437 405 342 266 193 134 97 73 53 32 18 18 37 67 97 123 157 195 235 275 318 365 404 382 335 307 312 336 350 356 348 344 364 401 437 483 654 878 824 830 838 778 701 720 820 888 871 795 714 667 639 604 449 305 207 142 93 62 59 62 55 39 21
14 14 16 17 16 15 14 12 9 11 11 11 11 10 11 10 9 8 9 12 16 19 25 25 24 25 25 25 22 20 19 17 16 16 16 16 16 14 13 12 15 18 20 20 19 16 14 13 11 10 10 10 10 10 9 8 7 8 10 10 9 8 8 8 7 6 5 4 4 3 3 3 4 3 3 2 3 3 2 1 1 2 2 1 1 1 1 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 56 142 188 112 34 18 43 70 76 55 16 2 1 11 17 17 16 16 15 13 9 3 0 0 0 2 20 62 128 215 303 352 341 291 227 166 118 88 73 64 42 25 26 48 82 111 134 168 201 226 252 288 337 395 402 353 302 276 282 302 320 317 314 333 366 383 377 376 339 475 603 708 773 807 856 1005 1115 1022 853 722 653 595 525 385 276 193 125 75 52 57 62 45 21 6
16 15 16 17 15 13 13 13 12 10 11 13 11 9 9 10 10 11 13 16 18 23 31 27 24 24 22 19 19 19 21 22 22 21 18 16 16 15 15 15 17 19 21 23 23 21 18 15 13 13 12 11 11 10 9 8 7 10 14 15 13 10 9 6 5 5 5 4 3 3 4 4 3 2 2 2 3 2 2 1 2 2 1 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 5 16 18 11 2 1 8 53 198 339 379 269 104 58 81 85 62 26 0 0 1 8 10 9 11 13 15 15 12 6 2 0 0 1 5 23 56 104 165 218 238 222 190 157 128 105 93 91 82 52 42 59 90 116 137 168 197 208 209 215 243 298 360 359 327 297 287 294 303 301 301 320 331 311 254 178 141 182 250 339 441 545 671 871 1038 956 828 737 646 529 407 284 184 108 58 35 38 55 66 48 20 5
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