Vorticity
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nan 9 9 8 6 4 3 5 8 11 11 10 9 9 8 8 8 8 8 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 6 5 4 7 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 10 10 10 10 11 13 14 15 14 12 10 7 6 5 5 5 5 4 4 5 6 7 9 11 14 15 13 11 9 9 10 10 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 9 8 6 4 3 nan
nan 9 8 6 4 3 3 6 10 12 12 11 9 9 8 8 8 8 7 6 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 6 5 5 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 9 10 11 12 12 11 11 11 13 13 13 13 12 10 8 7 6 7 7 6 6 6 7 7 6 6 9 13 14 14 14 14 15 15 15 14 13 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 10 9 7 5 4 nan
nan 8 5 5 5 5 6 8 12 13 12 10 9 8 8 8 8 7 7 7 8 8 8 7 7 6 5 5 5 6 6 7 8 8 7 7 7 7 8 8 8 8 7 6 6 7 9 9 8 8 7 7 8 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 11 13 14 13 13 12 12 11 9 9 9 9 8 7 7 7 7 7 8 8 9 10 8 5 5 6 8 10 12 16 19 21 21 19 17 13 11 10 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 9 10 11 11 11 10 9 8 7 6 5 nan
nan 6 5 6 7 6 6 8 12 12 10 9 8 8 8 8 7 7 7 7 7 7 5 4 3 2 2 3 4 5 6 6 6 5 5 6 8 8 8 8 8 7 7 7 8 10 11 11 10 8 7 7 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 13 14 15 15 13 11 10 9 9 8 8 7 7 7 7 8 8 9 10 9 7 6 6 6 6 7 10 14 16 18 19 17 15 12 10 9 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 9 10 11 11 10 9 8 8 7 6 5 nan
nan 7 7 7 6 5 5 8 12 12 10 9 8 8 8 7 6 6 7 7 6 4 3 2 1 1 2 4 5 6 6 5 4 5 6 9 10 10 9 8 8 8 8 9 10 12 12 12 11 10 9 9 10 10 10 9 8 7 7 8 9 9 9 9 10 10 11 11 11 12 12 14 15 15 14 13 12 12 10 9 8 8 8 8 8 8 9 10 10 8 7 8 8 7 7 7 9 10 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 10 9 8 7 7 7 7 6 nan
nan 8 6 4 4 4 7 10 12 12 10 9 8 7 6 5 5 7 7 7 4 2 2 3 4 5 7 9 10 9 7 7 7 9 11 13 13 11 10 9 9 9 9 9 10 11 11 11 11 10 11 12 12 11 9 7 5 5 5 7 8 7 7 8 10 11 11 12 12 12 12 12 13 13 12 12 11 11 10 9 9 9 8 8 8 9 11 12 10 9 8 8 9 9 8 8 8 8 8 8 7 7 9 12 14 13 12 10 9 9 8 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 8 8 7 6 6 7 7 7 nan
nan 7 5 3 4 7 9 11 11 11 10 8 6 6 5 5 6 6 6 5 2 2 4 7 8 9 11 13 13 11 9 9 10 11 13 13 12 10 9 9 9 8 8 9 9 9 10 10 10 10 12 12 11 9 7 6 6 7 8 9 7 6 7 9 12 12 12 12 12 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 8 8 9 9 9 9 8 8 8 8 7 7 7 10 13 15 14 13 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 6 6 6 6 7 7 7 nan
nan 7 5 4 7 10 11 10 10 10 10 7 6 6 7 6 5 4 3 1 1 3 6 8 9 11 12 13 12 11 10 10 10 10 11 10 9 9 8 8 7 7 8 9 10 10 9 9 9 9 10 10 9 8 8 10 11 13 13 11 9 9 10 12 13 12 12 12 13 13 13 12 11 10 9 9 8 8 8 8 9 9 10 11 11 11 10 8 7 8 9 9 9 9 9 8 8 8 8 7 7 8 9 10 12 13 14 14 14 12 11 10 9 9 10 11 11 11 11 11 10 9 8 7 6 5 5 6 6 6 7 7 8 8 nan
nan 7 6 7 9 11 10 8 9 10 9 7 7 8 7 6 4 3 3 3 4 6 7 8 9 10 10 10 10 10 10 10 10 10 11 10 8 8 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 10 12 14 14 14 13 12 12 13 13 10 9 11 13 14 13 12 11 10 9 9 8 8 8 7 7 7 8 10 11 12 11 9 7 6 7 9 9 9 9 9 10 10 9 8 7 7 7 7 7 8 10 12 14 15 14 13 13 12 13 13 13 13 13 12 12 10 8 7 5 5 4 5 5 6 7 7 8 7 7 nan
nan 7 7 8 9 10 8 6 7 9 9 8 7 7 6 4 3 4 5 6 8 8 7 7 8 8 8 9 11 11 11 11 11 13 13 11 8 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 9 10 11 11 12 12 13 13 14 15 13 11 12 13 14 14 13 12 10 9 8 8 8 8 8 6 5 5 7 9 10 11 10 9 8 8 8 9 9 9 10 10 11 11 9 7 6 5 5 5 5 6 6 8 11 13 15 16 17 18 19 19 18 16 14 12 11 9 7 6 5 4 4 5 6 7 8 8 8 7 7 nan
nan 6 7 8 8 7 5 4 6 8 9 8 7 6 4 3 4 5 7 8 8 8 8 8 9 9 10 12 13 12 11 11 11 12 12 10 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 9 10 10 12 13 15 17 16 17 18 17 14 12 10 10 9 8 7 8 9 9 8 6 5 5 7 8 9 9 9 9 10 10 11 10 10 10 10 11 11 10 8 6 5 5 5 4 4 4 4 6 8 10 13 15 18 19 20 20 19 15 12 10 9 7 6 5 5 5 5 6 7 7 8 8 8 7 7 nan
nan 6 8 8 8 6 5 5 6 7 8 8 6 5 4 4 5 6 7 8 8 9 9 10 10 10 12 13 13 11 10 9 10 10 10 9 8 8 8 9 8 7 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 12 15 17 18 18 19 18 16 12 9 7 8 8 8 8 9 10 10 8 6 7 7 8 9 8 8 9 10 11 12 12 12 11 11 10 10 9 7 6 6 6 6 5 5 4 4 5 7 8 9 10 12 13 14 14 13 10 7 6 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 nan
nan 7 8 8 7 6 6 6 6 6 6 7 6 5 6 6 7 8 9 9 9 9 9 10 10 10 11 11 10 9 8 8 9 9 9 9 8 8 9 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 10 13 16 17 16 15 13 11 8 7 6 6 6 7 8 9 10 10 8 7 7 8 9 9 8 8 8 9 10 11 12 12 12 12 12 11 10 8 6 6 7 7 7 7 6 5 6 7 7 8 8 8 8 9 9 8 5 2 0 3 5 6 7 7 8 8 8 9 8 9 9 8 8 8 7 7 nan
nan 7 8 7 7 7 7 7 5 4 6 7 7 7 8 9 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 9 8 8 9 9 9 10 10 10 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 13 14 13 11 8 5 3 1 2 3 4 5 6 8 9 10 8 7 7 9 10 10 9 8 8 9 9 10 10 10 11 12 12 12 11 10 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 6 3 0 1 4 6 8 9 10 10 10 10 10 9 9 9 8 7 7 7 6 nan
nan 7 8 8 9 9 7 5 3 3 5 8 9 9 10 10 10 9 8 7 8 8 9 9 8 8 8 8 8 9 10 9 8 8 8 9 10 10 11 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 8 6 3 1 0 0 2 4 5 5 5 6 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 5 3 3 6 10 12 13 12 12 12 12 11 10 10 9 8 7 6 6 6 6 nan
nan 8 9 10 10 8 5 3 2 3 6 8 10 11 11 10 9 7 7 8 9 10 10 10 9 8 8 8 9 10 9 7 7 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 5 3 2 2 3 4 6 7 7 7 7 7 8 10 11 11 10 9 8 8 10 12 12 12 11 10 10 9 9 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 7 6 5 5 7 8 7 7 6 7 10 15 18 19 17 16 15 13 12 11 10 9 8 7 6 5 5 5 5 nan
nan 8 9 9 7 5 3 3 4 6 8 10 12 12 11 9 8 8 9 10 10 10 10 11 10 9 8 9 10 10 7 5 7 10 10 10 10 8 7 7 7 7 7 6 6 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 5 4 4 4 5 7 8 9 9 10 10 10 11 12 12 12 10 8 6 7 9 12 13 12 11 10 10 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 7 8 9 12 17 21 22 20 19 18 17 14 12 10 9 7 6 5 5 5 5 5 5 nan
nan 8 8 7 6 5 5 5 6 8 10 12 13 13 11 9 9 9 9 9 8 8 10 10 9 9 9 11 11 10 8 7 9 10 10 10 9 8 7 8 8 8 7 7 8 10 9 9 8 8 8 8 9 9 9 8 7 7 6 5 5 5 6 7 7 8 8 9 9 10 11 12 13 14 13 11 8 6 7 9 11 12 11 9 9 9 8 7 7 8 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 6 7 8 9 10 13 16 17 16 16 17 17 16 14 11 8 7 5 4 4 4 4 5 5 5 nan
nan 8 8 7 7 7 7 7 8 9 11 13 14 13 11 10 9 9 8 7 7 8 9 8 8 9 10 12 13 13 11 11 10 9 8 7 7 8 9 9 9 9 9 10 12 12 11 9 7 7 7 8 9 10 9 8 7 7 7 6 6 7 8 8 7 7 7 7 8 10 11 11 12 12 11 9 7 7 9 11 11 9 7 6 6 7 6 7 8 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 7 8 9 9 10 10 10 10 10 11 12 13 13 11 8 6 4 3 3 3 4 5 6 6 6 nan
nan 8 7 7 8 8 8 8 8 9 12 13 13 12 10 9 9 8 7 6 7 9 9 9 9 9 11 12 12 13 12 11 10 9 7 6 7 9 11 10 10 9 10 12 13 12 11 9 8 8 9 9 10 9 8 8 7 8 7 7 8 9 9 8 7 7 7 7 8 9 10 11 11 11 10 8 6 8 11 12 10 8 6 6 6 5 5 6 8 8 8 9 9 10 10 11 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 6 6 6 5 3 3 2 2 3 4 5 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 9 11 11 11 10 9 8 7 6 5 6 8 10 11 10 10 11 11 11 12 11 9 9 10 11 11 9 10 11 11 9 9 9 10 11 11 11 10 10 11 11 10 9 8 7 6 6 6 6 6 7 8 9 8 8 8 7 7 8 9 9 10 11 12 11 10 8 8 10 12 12 11 10 9 10 9 8 7 7 7 7 7 7 8 9 10 11 12 12 11 11 11 11 10 10 9 9 9 9 10 12 12 11 10 9 9 8 6 3 0 -1 -2 -3 -4 -2 1 2 3 4 5 6 7 7 7 6 nan
nan 8 8 8 8 8 8 9 9 9 10 10 9 9 8 7 6 5 5 7 11 13 13 12 12 12 12 11 9 7 5 6 9 12 12 11 12 12 11 9 9 9 10 10 9 10 10 11 11 10 9 7 6 4 4 4 4 4 3 4 4 5 5 6 7 7 8 8 9 9 9 10 11 12 11 11 11 12 13 13 13 12 13 13 13 12 12 11 9 8 8 8 8 8 10 11 11 10 11 11 11 11 11 11 10 9 9 10 12 13 12 10 9 9 10 9 6 3 -0 -2 -3 -3 -3 0 3 4 5 6 7 7 7 7 7 6 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 10 9 8 6 6 7 10 13 14 12 11 11 10 9 7 5 3 4 7 10 11 11 11 12 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 7 6 5 5 5 4 3 2 1 1 2 5 6 7 7 8 8 8 9 10 10 11 11 11 12 13 14 14 13 13 14 15 15 14 13 12 12 11 10 8 7 8 9 9 9 9 10 11 11 12 12 12 11 10 10 11 12 11 10 8 7 8 8 7 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 8 8 8 8 9 9 9 9 9 10 12 13 12 9 8 8 9 12 13 11 8 8 8 7 6 4 4 6 8 12 14 14 12 12 11 10 9 9 9 9 8 8 8 8 8 9 10 11 12 12 11 11 11 11 9 8 8 6 4 3 3 5 6 7 7 7 8 8 8 9 9 9 9 9 11 13 13 12 11 12 13 14 14 13 12 12 13 13 12 10 8 7 8 8 9 9 10 11 11 12 12 11 11 11 11 11 10 8 7 7 8 7 7 7 8 10 13 15 15 13 12 11 9 8 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 9 9 9 9 12 14 15 12 9 7 7 8 10 10 8 7 6 6 6 6 7 9 12 14 15 14 13 13 13 12 10 8 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 12 13 13 13 13 12 11 9 8 8 7 7 7 8 7 7 7 8 8 8 9 9 11 11 11 10 10 11 12 12 12 11 11 12 13 13 12 11 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 8 7 7 9 10 10 10 10 11 12 13 14 14 12 11 10 9 8 7 6 6 6 6 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
9 7 6 5 5 6 8 11 15 18 20 23 25 28 31 32 33 37 39 39 38 37 38 40 40 39 38 37 38 39 37 37 37 36 34 32 28 27 27 27 27 25 23 23 23 21 18 16 15 13 11 9 8 7 7 10 9 9 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 21 25 27 30 33 40 47 52 54 49 40 34 38 48 109 199 320 447 585 741 876 951 974 969 984 964 903 903 886 943 1056 1192 1374 1636 1784 1649 1440 1416 1533 1607 1879 2513 2973 2784 2288 1729 1429
6 5 5 4 3 3 4 5 9 12 16 20 24 29 31 28 30 31 36 38 39 38 38 38 39 39 39 38 38 40 38 36 36 36 36 35 33 30 28 28 26 25 25 24 22 19 17 14 12 9 7 7 8 6 5 7 6 6 5 5 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 2 6 14 22 26 30 34 37 39 40 42 49 57 53 46 42 43 56 81 135 228 359 529 714 870 963 1006 1023 987 946 930 919 935 1010 1119 1244 1601 1692 1653 1519 1357 1406 1476 1546 1920 2497 2768 2516 1822 1449
6 3 2 3 2 2 3 4 6 8 11 13 17 22 27 27 27 26 30 34 37 38 38 38 39 38 38 38 39 41 40 38 37 36 36 37 38 40 36 29 26 26 26 24 21 18 16 12 8 6 5 5 5 5 5 5 4 3 3 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 1 4 11 19 25 32 37 39 41 41 39 41 54 58 57 52 47 46 46 58 102 184 308 480 700 844 947 1007 1002 973 954 937 917 961 1001 1121 1390 1557 1606 1578 1445 1394 1432 1425 1548 1892 2589 2644 2110 1635
4 4 3 2 1 1 1 3 5 7 9 11 11 14 20 24 26 27 27 29 31 33 35 36 37 38 39 39 39 42 43 42 40 38 36 37 38 40 36 30 28 27 27 26 22 18 15 11 7 6 5 5 4 4 4 4 3 2 2 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 1 5 10 15 22 31 38 40 42 46 45 46 51 55 58 57 55 51 48 47 57 86 139 241 449 618 782 918 983 992 984 965 914 962 974 1004 1132 1355 1490 1509 1452 1396 1391 1402 1491 1451 2143 2559 2439 1935
3 2 2 2 1 0 0 1 4 7 10 11 11 12 14 17 21 24 26 26 26 27 30 32 34 35 36 37 38 41 43 44 42 40 38 38 37 36 35 32 29 28 28 27 24 19 15 12 8 6 5 6 5 4 3 3 3 2 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 2 4 9 13 19 28 36 40 47 51 51 52 52 52 55 58 58 56 53 53 51 52 59 98 221 371 557 757 909 981 1002 984 928 959 1004 963 985 1166 1357 1431 1426 1416 1436 1349 1443 1349 1729 2265 2626 2413
2 1 1 0 1 0 0 0 2 5 8 10 12 14 14 14 15 16 20 24 26 25 26 29 32 33 34 34 36 37 38 39 41 42 41 39 37 35 34 32 30 29 29 27 23 18 15 13 9 7 5 4 3 3 2 2 2 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 2 4 7 11 15 22 32 38 47 53 58 61 62 59 57 57 54 54 55 55 50 46 43 49 89 171 328 560 775 922 1011 1001 941 931 1018 1000 986 1112 1292 1418 1414 1405 1440 1338 1325 1333 1457 1825 2415 2795
0 0 0 0 0 0 0 1 2 3 5 6 10 14 16 18 16 15 15 17 20 22 24 29 33 36 37 36 36 36 35 35 36 38 40 41 37 34 33 33 32 30 29 27 23 18 14 12 10 7 5 4 2 2 2 2 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 0 0 0 1 3 5 8 12 17 25 33 43 52 59 64 68 68 67 62 57 53 55 57 52 48 43 39 41 58 129 326 560 778 931 980 947 924 965 1009 1037 1108 1250 1461 1395 1379 1379 1340 1300 1282 1309 1469 1952 2615
0 0 0 0 0 0 0 1 2 3 4 5 9 11 13 16 19 19 17 16 15 17 20 24 29 36 36 36 37 38 37 35 33 34 34 34 33 32 33 33 32 31 29 26 23 17 13 11 10 10 6 4 2 2 2 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 1 2 3 5 8 12 18 25 37 46 53 59 67 76 77 70 64 57 55 55 55 53 47 40 35 29 41 137 324 572 761 865 902 916 937 976 1026 1068 1124 1358 1374 1394 1380 1355 1321 1305 1324 1328 1525 2019
0 0 0 0 0 0 0 0 1 3 4 6 7 7 10 12 14 16 17 18 18 17 18 18 21 24 25 29 32 35 35 35 34 34 34 32 32 31 31 31 32 31 29 26 23 14 12 11 10 7 5 3 3 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 0 0 0 0 0 1 2 4 7 11 16 27 38 45 52 64 77 80 76 68 60 54 51 53 54 50 44 40 33 25 49 133 341 524 659 772 860 904 920 976 1012 1011 1117 1222 1404 1542 1506 1395 1339 1314 1286 1342 1424
0 0 0 0 0 0 0 0 1 2 4 7 7 7 8 9 11 12 14 15 16 16 19 18 20 20 22 25 27 30 32 35 37 37 40 38 35 33 31 30 29 29 27 24 18 12 11 10 10 8 5 4 4 4 2 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 1 2 4 7 10 18 27 37 45 55 70 76 73 68 62 54 50 52 54 51 47 48 47 34 26 48 149 281 423 589 752 860 844 886 937 964 975 1014 1222 1567 1709 1547 1378 1315 1296 1339 1334
0 0 0 0 0 0 0 0 0 2 4 7 8 7 7 7 8 10 10 10 11 12 14 17 18 18 20 22 24 25 26 30 32 34 36 37 38 36 33 30 29 28 25 20 13 11 10 9 9 8 6 4 4 4 3 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 0 0 0 0 0 0 0 1 3 4 6 11 18 27 36 48 63 68 66 64 64 59 52 51 52 50 46 46 48 40 33 31 55 115 222 392 590 749 792 805 844 924 951 931 1059 1390 1675 1623 1394 1347 1367 1424 1439
0 0 0 0 0 0 0 0 0 1 3 6 7 7 7 6 7 10 10 9 9 10 12 13 15 16 16 16 18 19 21 23 23 25 27 30 34 35 32 30 30 27 21 15 12 11 9 8 8 8 7 6 5 4 3 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 0 0 0 0 0 0 0 1 2 2 3 6 9 16 25 37 50 63 63 61 59 57 57 55 53 50 45 41 44 44 41 36 35 45 90 221 408 590 704 729 757 855 941 931 971 1189 1566 1565 1422 1376 1419 1495 1534
0 0 0 0 0 0 0 0 0 1 4 5 6 7 7 6 6 6 6 7 7 8 10 13 14 15 15 15 16 16 18 19 21 21 21 21 24 27 27 26 25 22 17 13 11 10 8 6 6 7 7 8 7 6 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 0 0 0 0 0 0 0 0 0 1 1 3 4 7 11 16 23 39 55 61 59 57 56 58 60 57 52 46 42 43 45 45 40 34 28 35 112 248 413 572 657 698 780 892 944 936 963 1309 1520 1491 1406 1393 1462 1529
0 0 0 0 0 0 0 0 0 0 3 5 6 6 7 7 6 5 5 6 6 7 9 12 13 14 15 15 15 16 16 17 18 18 19 20 20 20 20 19 17 15 13 11 9 7 5 4 4 4 5 6 7 5 4 3 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 0 0 0 0 0 1 3 4 5 6 7 10 14 26 42 51 54 53 53 61 60 58 54 50 46 43 42 44 44 39 31 28 52 129 263 421 551 638 726 840 908 918 896 1033 1238 1363 1367 1301 1329 1398
0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 5 5 5 5 6 8 11 12 13 14 13 13 13 14 16 17 16 16 17 17 17 16 16 15 12 10 7 5 4 2 2 2 2 3 4 5 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 1 1 2 3 4 5 6 6 8 12 19 30 40 46 53 64 68 64 59 54 51 48 45 42 43 45 42 38 31 31 70 171 309 435 540 658 794 862 875 866 911 1024 1166 1266 1229 1244 1273
0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 5 4 5 5 8 10 11 12 12 13 12 10 11 11 13 14 14 14 15 14 13 12 10 7 5 3 2 1 0 0 0 1 2 2 3 4 3 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 0 0 0 0 0 1 2 3 4 4 5 6 6 6 7 10 14 21 30 36 43 69 72 62 52 47 47 47 46 44 43 44 45 44 38 32 46 100 189 303 432 576 722 808 838 843 860 919 1037 1161 1190 1190 1190
0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 3 3 4 4 5 8 9 9 10 9 9 8 10 11 11 10 11 11 11 11 10 9 6 3 1 1 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 1 2 3 5 8 8 6 5 6 6 7 8 11 14 21 26 33 47 56 52 44 40 41 44 44 42 43 44 46 47 44 39 39 51 90 208 350 484 621 733 796 817 837 877 978 1075 1144 1148 1132
0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 2 2 3 3 4 6 7 7 7 6 6 7 8 9 8 8 8 9 10 10 7 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 9 12 12 9 8 7 7 8 9 11 11 15 20 27 36 43 45 41 38 38 40 41 43 46 48 50 52 50 46 43 40 58 118 212 351 513 654 743 780 816 857 927 1019 1102 1118 1091
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 5 5 5 4 5 5 5 5 6 6 5 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 10 12 12 11 10 9 10 11 12 11 12 12 15 20 26 34 39 39 37 37 36 38 40 45 52 58 62 58 54 52 49 50 66 115 230 406 562 670 734 787 839 909 991 1069 1108 1099
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 3 3 3 3 3 3 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 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 6 6 9 11 12 11 10 10 11 13 14 13 13 11 11 13 18 26 32 37 33 34 34 36 37 42 51 63 68 63 61 59 57 56 60 75 135 277 436 580 684 756 815 881 956 1033 1091 1113
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 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 12 12 13 13 15 15 16 15 14 13 12 11 11 12 15 23 31 28 29 32 36 38 42 51 65 71 71 67 66 66 63 59 63 83 160 300 457 597 701 781 853 923 994 1033 1069
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 11 13 14 15 17 18 18 17 15 14 13 12 11 10 9 11 17 23 23 23 27 37 47 46 54 61 70 79 76 74 74 69 65 61 69 109 218 361 494 617 731 822 869 951 968 1001
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 13 15 17 18 18 18 18 18 16 14 13 12 11 9 9 9 11 16 18 19 20 26 49 52 54 57 62 78 85 80 80 75 68 65 70 87 170 297 421 532 653 784 830 905 939 976
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 9 13 15 17 18 19 19 20 20 20 18 16 15 13 12 10 9 9 9 12 14 16 17 21 39 53 58 59 60 71 83 84 82 72 69 69 72 85 146 248 356 470 588 729 817 875 910 951
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 15 19 21 20 21 23 23 24 23 21 18 16 15 13 11 11 10 9 10 12 14 15 17 27 39 49 58 63 68 78 83 83 70 64 69 73 88 140 230 306 420 524 645 760 837 879 920
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 12 17 21 24 23 23 24 26 27 25 22 19 18 18 15 13 12 11 10 9 10 12 14 16 19 27 41 53 60 63 67 68 77 74 70 70 74 86 114 173 291 368 445 555 680 782 839 887
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 13 19 21 22 23 24 26 28 27 25 22 20 21 20 18 16 15 14 13 12 12 12 13 14 16 20 29 41 50 52 55 55 65 77 86 85 78 86 112 163 237 287 376 487 600 723 793 834
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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 14 18 21 22 23 25 28 29 27 26 24 24 23 23 22 20 18 17 16 15 14 13 12 14 15 17 22 30 42 40 42 46 60 82 102 108 93 89 101 134 189 216 292 420 530 656 745 796
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