Vorticity
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nan 8 8 8 7 6 4 6 10 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 6 5 6 8 9 8 8 8 8 9 10 10 9 9 9 9 9 11 12 12 11 11 11 12 11 9 8 8 8 9 9 8 7 7 8 8 8 7 6 5 4 4 5 5 5 6 6 7 6 6 8 9 9 8 8 8 9 10 11 11 11 10 8 7 6 6 7 7 7 8 8 9 9 9 9 8 7 6 6 7 8 8 7 5 5 7 12 18 23 26 nan
nan 9 9 8 6 4 3 5 9 11 12 11 10 10 9 9 9 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 5 7 8 8 8 8 8 8 8 9 9 9 10 9 9 9 10 10 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 5 4 4 5 6 6 6 8 9 10 9 8 8 9 11 12 12 11 10 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 6 5 6 9 14 20 25 nan
nan 10 8 6 4 3 3 6 11 14 13 12 10 9 9 9 9 8 7 7 7 9 9 8 8 8 8 7 7 8 8 7 8 9 9 8 8 8 9 9 9 8 7 6 5 6 8 8 8 8 8 7 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 8 9 9 9 8 8 8 8 8 8 7 6 6 7 6 4 5 7 8 9 9 10 12 13 14 14 12 10 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 6 6 7 6 5 4 5 9 15 21 nan
nan 8 6 5 5 5 6 9 14 15 13 11 10 9 9 9 9 8 7 7 8 9 8 7 7 6 5 5 6 7 7 7 8 8 7 7 8 8 8 8 8 8 7 6 6 8 9 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 10 12 12 12 11 9 8 7 6 6 7 7 7 8 9 9 9 9 9 9 9 9 5 3 4 5 6 7 9 12 15 17 17 15 12 8 6 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 9 9 8 7 6 6 6 7 6 4 3 5 9 16 nan
nan 7 6 7 8 7 7 10 14 14 12 10 9 9 9 9 8 7 7 7 8 7 5 4 3 2 2 3 4 6 6 7 7 5 5 6 8 9 9 9 8 8 7 7 9 10 11 11 10 9 8 8 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 10 11 12 12 11 10 8 7 6 7 7 7 7 8 9 9 9 9 10 10 10 8 4 3 4 5 5 6 9 12 15 16 16 13 9 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 6 5 6 7 7 6 4 3 4 10 nan
nan 9 8 8 7 6 6 10 14 14 11 10 9 9 9 8 7 7 8 7 6 4 2 2 1 1 3 5 6 6 6 6 5 5 7 10 11 11 10 9 9 9 9 9 11 12 12 12 12 10 10 10 11 10 10 10 9 8 8 8 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 9 9 8 8 9 10 10 10 10 11 11 10 6 4 5 5 5 6 8 10 11 12 12 11 9 7 7 8 9 9 8 7 7 7 7 8 8 9 9 9 10 11 11 10 9 8 7 6 5 6 7 8 7 6 3 3 7 nan
nan 9 7 5 4 5 8 12 14 14 12 10 8 8 7 6 6 7 8 7 5 2 2 4 4 6 7 10 11 10 8 8 8 10 13 15 14 12 10 10 10 10 10 10 10 11 11 12 11 11 12 13 12 11 10 8 7 6 7 8 9 9 9 9 9 10 11 11 11 10 10 9 8 7 8 8 8 9 9 9 9 10 9 10 10 11 12 12 9 6 5 6 6 6 7 8 9 10 9 9 8 7 8 10 12 12 10 9 8 7 7 8 8 8 9 9 10 11 11 11 10 9 7 7 6 6 6 7 7 8 8 5 4 5 nan
nan 8 5 3 4 8 11 13 13 13 11 9 7 7 6 6 6 7 7 5 2 2 4 7 8 10 12 14 14 12 10 10 11 13 14 14 13 11 10 9 9 9 9 9 9 10 10 10 11 11 12 13 12 11 9 8 8 9 10 10 9 8 8 9 11 11 11 11 11 10 9 7 6 6 7 7 8 8 8 9 9 10 10 10 11 12 12 11 8 6 6 6 6 6 7 8 8 9 9 8 7 8 10 12 13 12 11 10 9 8 8 8 8 9 9 10 11 12 11 11 9 8 6 6 5 6 6 6 7 8 8 7 5 4 nan
nan 8 5 5 8 12 13 12 12 12 11 8 6 7 8 7 6 5 4 2 1 4 7 9 10 12 14 14 13 11 11 11 11 11 12 11 10 9 8 8 7 7 9 9 10 10 10 10 10 10 11 10 10 10 11 12 14 15 15 13 11 10 11 11 12 11 11 11 10 9 8 6 6 6 7 7 8 8 8 8 9 10 11 12 12 12 11 8 7 6 6 7 7 6 6 7 8 9 8 7 7 8 10 11 11 11 11 12 11 10 9 9 9 10 11 12 12 12 11 9 8 6 5 5 5 6 6 6 7 7 8 8 7 5 nan
nan 8 7 8 11 13 12 9 10 12 11 8 7 8 8 6 4 3 3 3 5 7 8 9 10 11 11 11 11 11 11 11 10 11 12 11 8 8 7 7 7 9 10 10 11 10 10 9 9 9 9 9 9 10 12 15 16 17 16 15 14 14 14 13 11 10 9 9 8 7 6 6 6 7 7 7 8 8 7 7 7 9 11 12 13 12 9 7 6 6 7 7 7 7 7 8 9 9 7 6 6 7 8 9 9 10 11 12 12 12 11 11 12 13 14 14 13 11 9 7 6 5 5 5 5 6 6 7 7 7 7 7 7 6 nan
nan 8 8 9 11 11 9 7 8 10 10 9 8 8 7 5 4 5 6 8 9 9 8 8 9 9 8 9 11 12 11 11 11 13 13 11 8 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 9 11 12 14 14 14 15 16 16 16 16 14 11 9 8 7 6 5 5 6 6 7 7 7 8 7 6 5 6 8 10 11 11 10 9 8 7 8 8 8 7 7 8 9 9 7 5 4 4 5 6 7 7 8 9 10 11 12 13 15 16 18 18 16 13 9 5 4 4 4 5 5 5 6 7 8 8 7 6 6 7 7 nan
nan 7 8 9 10 8 6 5 7 9 10 9 8 7 5 4 5 6 8 9 9 9 8 8 9 8 9 11 13 12 11 10 11 12 12 10 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 12 12 12 13 14 16 17 18 18 15 13 10 8 6 5 5 6 6 7 7 7 8 8 7 5 5 6 8 10 10 10 9 9 10 10 10 9 8 8 8 9 9 7 4 3 3 4 5 6 6 6 6 8 9 11 12 13 15 17 18 17 14 9 4 2 3 4 5 6 6 6 6 7 8 8 8 6 6 6 7 nan
nan 7 9 10 9 6 5 5 7 9 9 9 7 5 4 5 6 7 8 9 9 9 9 9 9 9 10 12 12 10 9 9 10 10 10 9 7 7 8 8 8 7 8 8 9 8 8 8 8 9 9 10 10 11 11 11 11 13 15 17 20 20 18 15 12 8 5 4 4 5 7 7 7 8 8 9 8 6 6 6 8 9 10 9 9 9 10 11 12 11 10 9 9 9 8 7 4 2 3 4 5 6 6 5 6 8 9 10 10 10 11 12 13 12 9 5 -0 -1 1 3 5 6 7 7 7 7 8 9 9 9 7 6 6 7 nan
nan 8 10 10 8 6 6 7 7 7 7 8 7 6 6 7 8 9 9 9 9 8 9 9 9 9 9 10 9 8 8 8 9 9 9 8 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 13 16 20 22 20 16 12 8 4 2 3 4 6 7 8 8 9 9 8 6 6 6 7 9 9 9 9 9 9 10 11 12 11 11 10 10 9 8 6 4 4 5 5 6 6 6 7 8 9 10 10 9 9 9 9 9 7 3 -2 -5 -2 2 5 7 8 8 7 7 8 9 10 10 9 7 6 5 6 nan
nan 8 9 9 8 8 8 7 5 4 6 8 8 8 8 9 10 10 10 8 8 8 8 8 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 7 7 8 8 9 8 9 8 9 9 9 9 8 8 8 9 11 13 17 20 19 15 10 5 2 1 1 2 4 6 6 7 8 8 8 7 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 6 6 6 6 6 7 7 8 9 10 10 9 8 9 9 8 7 5 1 -3 -2 3 7 9 10 10 9 8 7 8 10 10 10 8 7 6 5 5 nan
nan 8 8 9 10 9 8 5 3 3 6 8 9 10 10 10 10 9 7 6 7 8 8 8 9 9 8 8 9 9 10 9 8 8 9 9 9 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 11 12 14 15 12 7 3 -0 -1 0 2 4 6 7 6 6 6 7 7 7 8 9 9 9 8 9 10 11 11 10 10 9 9 9 9 9 8 7 6 6 7 7 7 6 7 7 8 9 9 9 9 8 8 9 9 8 6 4 1 0 5 10 13 13 12 10 9 8 8 9 9 9 8 7 6 5 5 5 nan
nan 8 9 10 10 8 5 3 2 3 6 8 10 11 11 10 8 6 6 7 8 8 9 9 9 9 8 9 10 11 9 7 7 8 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 8 5 1 -1 -1 1 3 6 8 9 9 8 6 6 7 8 9 9 9 8 7 7 9 11 12 12 11 10 9 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 5 5 9 14 18 17 15 13 11 9 8 8 8 8 8 7 6 5 5 5 5 nan
nan 8 9 9 7 5 3 3 4 5 7 9 12 12 11 9 7 7 8 9 8 8 9 9 9 8 8 9 10 10 7 6 8 9 10 9 8 6 6 6 7 7 7 6 7 9 9 9 8 8 8 8 8 8 9 9 9 8 6 3 1 -0 0 2 5 7 9 11 11 10 10 9 9 10 10 10 8 6 5 6 9 11 13 12 11 10 9 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 11 16 19 19 16 15 14 12 10 8 7 7 7 6 6 5 5 5 5 5 nan
nan 8 8 7 5 5 5 5 6 8 9 11 13 13 11 9 8 8 8 7 5 6 7 8 7 8 9 10 11 10 8 8 10 10 10 9 7 5 6 7 8 8 7 7 9 10 9 8 8 7 7 7 8 9 9 8 8 6 4 2 1 2 4 6 8 9 10 10 10 10 10 11 11 12 11 9 7 5 5 8 10 11 10 9 8 8 7 6 7 8 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 10 10 10 9 8 8 8 9 10 12 14 15 13 13 13 13 11 9 6 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 7 7 8 8 9 12 14 14 13 11 9 8 8 7 5 4 5 6 6 6 7 9 11 13 12 11 11 11 10 8 7 6 6 8 9 9 9 9 11 13 12 10 8 6 5 6 7 8 9 8 7 6 5 4 3 3 5 8 9 9 9 8 8 9 9 10 10 11 11 9 8 6 5 7 10 10 8 6 5 6 6 5 6 8 10 10 10 10 10 10 9 9 9 8 7 8 8 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 10 8 6 3 3 4 4 5 5 5 5 5 5 5 nan
nan 7 7 7 8 8 8 8 8 10 12 14 13 12 10 9 8 7 5 4 5 6 7 6 7 8 10 11 13 13 13 12 11 9 7 5 6 8 10 10 9 9 11 13 13 12 10 8 7 8 9 9 9 9 8 6 5 4 4 4 6 8 10 10 9 8 7 8 8 9 10 10 10 10 8 6 5 6 9 10 9 6 5 5 6 5 5 6 8 9 8 8 8 9 9 10 11 10 9 8 8 9 9 9 10 10 11 10 10 11 11 10 9 8 8 7 6 6 5 5 4 2 0 -0 2 4 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 8 10 11 12 12 10 9 8 7 5 4 4 6 9 10 10 10 11 11 12 12 11 10 9 10 11 10 8 8 9 9 8 8 9 10 11 10 10 10 10 11 12 11 10 9 8 7 5 4 4 4 5 6 8 9 9 8 7 8 8 9 9 10 10 11 10 9 7 6 8 10 11 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 11 11 10 9 9 9 9 10 10 10 11 11 11 12 12 12 11 9 8 8 7 5 2 -1 -2 -3 -5 -6 -2 2 5 6 6 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 9 10 10 10 10 9 8 7 6 4 3 5 9 13 13 12 12 13 12 11 10 7 6 6 9 11 11 10 11 11 10 8 8 9 9 9 9 10 10 12 12 11 9 8 7 6 4 3 3 3 3 3 4 5 6 6 7 7 7 8 9 9 10 10 11 11 10 9 9 11 12 12 11 11 11 12 11 11 11 10 8 8 8 7 7 8 9 10 10 9 9 9 10 10 11 11 11 11 10 11 13 13 12 10 8 8 8 7 4 1 -2 -3 -3 -4 -3 1 5 6 7 6 5 5 5 5 5 6 nan
nan 8 8 8 8 8 9 9 9 10 10 9 9 10 10 9 7 6 6 9 12 14 12 11 12 11 10 8 5 4 4 7 9 11 10 10 12 12 11 10 10 10 9 8 9 9 10 11 11 10 10 9 8 7 6 5 4 3 2 1 1 1 2 4 6 7 7 7 8 8 9 10 10 10 10 10 10 12 12 13 12 12 13 14 14 13 12 11 10 10 10 8 7 7 8 8 8 8 9 9 10 11 12 12 11 11 11 12 12 11 9 8 7 7 7 6 5 4 5 6 6 5 6 7 7 7 6 6 5 5 5 5 5 6 nan
nan 8 8 8 8 8 9 9 10 10 9 10 12 13 12 10 9 8 8 10 11 10 8 8 8 8 7 6 6 6 9 11 13 13 11 12 12 11 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 11 11 9 8 7 6 4 3 3 5 5 6 6 6 7 7 8 8 9 9 8 9 10 12 13 12 12 12 13 13 13 12 11 11 12 12 11 9 7 7 7 7 7 8 9 10 11 12 12 12 11 11 12 12 10 8 7 6 7 7 7 6 7 9 11 13 13 11 9 8 7 6 6 5 5 5 5 5 6 6 nan
nan 8 8 8 8 8 9 10 10 9 10 12 14 15 13 10 8 7 8 9 8 6 5 5 5 6 6 8 10 12 13 13 13 12 12 13 12 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 13 14 14 13 13 12 11 10 9 8 7 6 6 6 6 6 6 7 8 8 8 9 10 11 11 11 11 12 12 12 11 10 10 11 12 13 11 10 10 10 9 8 8 9 9 9 10 10 10 11 11 11 11 10 8 7 7 8 10 10 10 10 10 11 12 13 11 9 7 6 5 5 5 5 5 5 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
13 16 19 21 24 26 26 31 36 37 37 37 36 37 38 38 35 35 33 32 31 34 35 33 31 29 28 28 28 29 29 31 34 35 35 36 37 38 37 36 36 33 31 31 29 28 26 27 28 27 25 23 21 20 18 19 18 15 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 26 87 198 344 517 760 987 1230 1271 1347 1305 1210 1078 1011 1084 1224 1389 1440 1350 1238 1123 1045 989 940 885 843 869 902 889 996 1105 976 1622 1852 2094 2478 2602 2320 1886 1615 1533 2415 3076 3534 3679 3437 3109 2658 2023 1700 1685 1728
10 11 12 14 20 24 22 27 31 35 37 38 38 37 38 39 36 37 35 33 33 35 36 34 32 30 29 28 28 30 30 31 33 35 35 35 35 34 34 35 34 32 31 30 27 26 26 26 25 25 25 23 20 19 20 20 17 14 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 23 57 108 182 296 525 881 1108 1326 1488 1573 1551 1380 1107 960 1057 1224 1329 1336 1213 1092 1030 1009 996 933 883 854 885 952 1118 997 1212 1574 2031 2542 2655 2228 1839 1547 1611 2073 2393 2895 3428 3525 3331 3107 2531 1798 1641 1648
11 9 9 11 15 19 22 24 27 31 35 37 39 39 38 40 39 38 37 35 35 36 36 35 33 30 29 28 28 29 30 30 31 32 32 32 32 33 33 32 31 30 30 27 25 24 25 25 25 26 25 22 18 18 20 19 16 13 11 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 31 62 70 77 146 351 571 818 1113 1457 1786 1785 1445 1138 974 977 1117 1286 1303 1180 1077 1049 1063 1024 928 866 897 943 1059 1034 994 1195 1779 2529 2627 2116 1742 1548 1605 1788 1907 2233 2779 3230 3493 3362 2998 2102 1728 1588
7 7 7 7 10 15 20 22 25 28 30 33 37 39 39 39 38 38 38 37 35 36 36 35 33 30 28 28 29 30 30 30 30 30 30 31 32 31 31 30 30 30 29 26 23 22 22 22 22 23 22 21 19 20 20 18 14 13 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 27 26 27 36 87 172 284 489 910 1394 1630 1578 1342 1052 862 912 1127 1275 1256 1172 1100 1092 1052 985 924 913 937 1021 1095 1040 959 1418 2153 2265 1988 1792 1835 1836 1757 1753 1872 2104 2536 3159 3168 3090 2436 1895 1593
3 4 3 4 6 10 15 18 21 24 26 28 31 35 37 37 38 39 39 38 38 38 38 36 33 30 28 29 30 30 30 30 30 30 29 30 32 30 29 29 29 28 27 24 21 18 17 18 19 19 19 21 21 20 19 18 15 12 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 13 12 10 10 13 23 42 70 131 329 691 1112 1424 1419 1168 905 845 1007 1242 1383 1370 1199 1119 1064 1009 959 936 947 1007 1085 1077 891 1183 1667 1872 2002 2065 2307 2438 2203 1971 1953 2219 2180 2715 3023 2963 2602 2183 1818
3 2 1 2 3 5 10 14 18 21 24 25 26 28 31 34 36 38 38 39 39 38 37 35 33 31 29 29 29 29 30 30 30 30 30 32 31 29 26 26 27 26 24 20 16 12 12 14 17 16 15 16 16 18 18 17 14 11 9 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 13 12 11 11 12 15 23 32 41 62 193 509 1011 1281 1211 1008 899 976 1198 1482 1614 1399 1220 1096 1010 974 978 993 1013 1030 1021 928 1032 1282 1431 1853 2229 2528 2830 2751 2419 2018 2031 2047 2244 2460 2613 2637 2508 2271
1 1 2 1 2 3 5 10 14 18 21 22 24 25 26 27 31 32 33 35 36 36 35 34 33 32 31 29 28 28 29 29 29 30 31 33 31 28 26 25 26 25 21 16 12 10 10 11 12 14 13 13 13 15 15 15 13 10 8 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 12 14 15 19 23 29 31 30 33 103 457 838 1007 997 925 942 1101 1350 1523 1492 1340 1165 1026 969 1003 1048 1033 996 967 944 969 1050 1084 1371 1986 2494 2718 2751 2606 2412 2201 1985 1899 1922 2087 2392 2640 2714
0 0 0 0 1 2 3 5 9 13 17 20 20 21 23 23 25 27 29 30 31 32 31 31 31 33 33 31 30 28 28 28 28 28 30 31 31 29 27 25 24 22 19 15 12 12 11 11 10 10 11 12 12 12 13 13 11 8 6 7 2 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 10 14 17 19 21 23 27 32 30 25 35 144 355 588 796 801 852 997 1197 1365 1431 1378 1235 1085 1009 1011 1024 1007 991 960 954 989 1020 997 1098 1613 2392 2527 2392 2315 2345 2404 2219 1873 1663 1681 1953 2282 2571
0 0 0 0 0 1 2 4 6 8 11 16 18 19 20 20 21 23 24 25 26 27 27 27 27 29 32 33 32 30 28 27 27 27 28 31 30 29 27 25 22 18 15 13 11 11 11 10 9 10 11 11 11 11 10 10 9 7 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 15 18 20 22 23 25 31 33 29 26 40 95 215 470 564 688 837 1009 1170 1308 1368 1291 1173 1081 1036 994 952 970 977 987 1028 1061 1023 990 1268 2058 2267 2149 2009 1994 2206 2296 1939 1671 1612 1658 1744 2106
0 0 0 0 0 0 1 3 5 6 8 11 14 17 19 19 18 18 19 21 22 23 22 23 22 22 25 28 30 29 26 25 25 26 27 29 29 28 26 23 19 15 11 8 7 6 7 7 8 9 9 9 9 9 9 8 5 4 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 1 2 5 9 13 18 21 23 24 26 28 31 31 27 25 33 62 187 285 427 601 782 947 1118 1265 1280 1229 1126 1061 1011 946 945 978 1010 1052 1107 1080 984 1162 1643 1933 1954 1839 1757 1794 1860 1785 1649 1566 1516 1402 1535
0 0 0 0 0 0 0 1 4 6 6 8 9 12 15 19 20 18 16 17 18 20 20 21 21 21 21 22 24 26 26 24 24 25 25 26 27 26 25 22 17 13 9 5 4 4 4 4 4 6 8 8 9 8 8 5 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 2 4 7 12 17 20 24 27 27 26 28 30 28 25 26 38 67 108 189 348 541 707 883 1047 1171 1243 1189 1107 1044 988 948 958 1001 1032 1139 1104 1008 1105 1431 1728 1829 1779 1691 1639 1635 1628 1553 1462 1390 1282 1321
0 0 0 0 0 0 0 1 2 4 6 7 8 9 10 14 17 19 17 16 17 19 21 21 21 20 19 19 21 23 23 23 23 25 26 26 26 25 23 20 16 11 6 3 3 4 3 2 3 5 5 6 7 6 6 4 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 1 3 6 11 17 20 24 27 27 27 26 28 29 28 27 28 35 45 63 126 268 433 638 800 979 1114 1137 1123 1093 1029 947 919 980 985 1115 1129 1032 975 1209 1542 1691 1697 1642 1566 1506 1485 1457 1412 1359 1321 1371
0 0 0 0 0 0 0 0 1 3 5 6 8 8 8 10 11 13 14 14 14 15 15 15 16 18 18 17 19 20 21 20 21 23 24 26 26 24 22 18 13 9 5 2 2 3 2 2 2 2 3 4 5 4 3 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 2 4 7 11 16 22 25 27 28 28 28 28 29 30 30 29 29 29 27 35 73 160 370 554 740 917 1059 1131 1145 1126 1005 910 947 960 1026 1087 1070 965 1013 1283 1500 1611 1626 1576 1490 1418 1392 1399 1433 1483 1501
0 0 0 0 0 0 0 0 2 3 5 5 7 8 7 8 9 10 11 12 13 14 13 11 12 14 16 16 17 17 19 18 18 19 20 21 20 20 18 15 11 8 4 2 1 1 2 2 2 3 4 3 3 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 1 4 7 11 17 22 25 27 30 31 31 31 31 32 33 33 32 29 26 23 24 30 154 318 503 701 887 1035 1142 1198 1101 994 960 971 994 1052 1075 1013 983 1099 1323 1533 1669 1682 1599 1485 1412 1415 1493 1658 1689
0 0 0 0 0 0 0 0 2 4 5 5 6 6 6 7 7 8 10 12 12 13 12 11 10 10 12 13 14 14 16 17 17 17 17 17 16 16 14 11 8 5 3 1 1 1 2 2 2 2 2 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 2 4 7 11 16 21 24 27 32 34 36 35 34 34 35 35 34 32 31 24 19 18 44 131 286 483 664 825 1060 1186 1190 1105 1046 1017 1000 1026 1068 1051 983 1002 1161 1374 1568 1664 1653 1581 1509 1501 1541 1687 1817
0 0 0 0 0 0 0 0 1 3 4 5 6 6 6 6 6 7 9 10 11 11 10 10 10 9 9 10 11 12 12 14 14 14 14 14 13 12 10 8 5 2 2 1 0 0 0 0 1 2 2 3 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 1 4 8 13 16 19 23 26 30 37 40 39 38 36 35 34 34 33 34 30 24 19 17 38 122 286 469 650 865 1071 1159 1140 1107 1061 1007 1004 1056 1102 998 995 1070 1200 1349 1484 1587 1638 1619 1613 1627 1709 1789
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0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 5 5 6 7 9 9 9 10 12 12 9 7 7 9 9 9 9 8 9 8 7 6 5 3 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 2 4 7 12 16 19 21 23 26 32 39 42 41 41 39 38 38 37 36 35 33 30 25 17 18 49 133 309 471 681 885 1042 1146 1176 1125 1050 1041 1068 1071 1064 1058 1072 1132 1227 1340 1482 1571 1573 1561 1615 1698
0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 5 5 7 9 10 8 8 9 11 10 8 7 8 9 11 10 7 6 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 11 16 19 21 24 26 30 36 41 44 45 44 44 44 42 40 38 35 31 28 22 15 17 44 173 334 503 688 874 1061 1236 1243 1160 1090 1061 1058 1051 1034 1042 1097 1168 1256 1361 1440 1451 1436 1468 1577
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 6 8 9 9 8 8 9 10 10 9 7 7 8 7 6 6 6 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 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 9 14 18 21 25 28 30 33 40 46 47 48 49 51 48 43 40 36 32 30 29 22 15 23 93 217 371 541 697 907 1136 1249 1245 1153 1081 1067 1061 1038 1033 1060 1127 1210 1319 1398 1422 1410 1413 1504
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 4 4 4 5 5 5 7 8 7 6 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 13 15 18 23 30 35 37 37 38 41 45 50 56 56 52 46 40 37 35 33 30 25 21 19 37 131 297 457 618 798 1019 1213 1274 1230 1159 1103 1078 1080 1054 1058 1133 1266 1426 1619 1748 1654 1598
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 2 3 4 3 4 4 4 4 4 4 3 3 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 2 2 4 6 9 13 15 18 22 29 37 41 40 37 36 39 45 52 58 56 53 46 41 38 36 33 29 24 20 19 67 187 365 535 680 854 1071 1226 1296 1250 1186 1123 1087 1059 1052 1092 1182 1315 1555 1720 1723 1674
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