Vorticity
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nan 8 8 7 6 4 3 4 8 10 10 10 9 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 10 9 8 7 6 4 4 6 8 9 8 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 11 13 14 14 13 12 10 8 6 5 5 5 4 3 3 4 5 7 8 10 13 14 13 11 10 10 10 10 11 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 nan
nan 9 8 6 4 3 3 6 9 12 11 10 9 8 8 8 8 8 7 6 7 8 8 8 8 8 7 7 7 7 7 6 7 8 8 8 8 8 8 9 8 8 7 6 5 5 7 8 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 10 10 9 9 11 12 12 11 11 11 13 13 13 13 12 10 9 8 7 7 7 6 5 6 6 6 5 6 9 12 13 13 13 14 15 16 15 14 12 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 nan
nan 8 6 5 5 5 6 8 11 12 11 10 9 8 8 8 8 7 6 7 8 8 8 7 6 5 4 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 7 9 9 8 8 7 7 8 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 10 13 14 14 13 12 12 11 10 9 10 9 9 8 8 8 8 7 7 8 9 9 7 4 4 6 7 9 12 15 19 21 21 19 16 13 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 nan
nan 7 6 6 7 7 6 8 11 11 10 9 8 8 8 8 7 7 7 7 7 6 5 4 3 2 1 2 4 5 6 6 5 4 4 6 7 8 8 8 7 7 7 7 8 10 11 10 10 8 7 7 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 15 15 14 12 10 10 10 9 8 8 9 8 8 8 8 9 10 8 6 5 5 5 5 7 10 14 17 19 19 17 14 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 nan
nan 8 8 7 6 5 5 8 11 11 10 9 8 8 8 7 6 6 7 7 6 4 2 2 1 1 2 4 5 6 5 5 4 4 6 9 10 10 9 8 8 8 8 9 10 11 11 11 11 9 9 9 10 9 9 9 8 7 7 8 9 9 9 9 10 10 11 11 11 11 12 14 15 16 15 14 13 13 11 10 9 9 9 8 8 8 9 10 10 7 6 7 7 7 6 7 9 11 12 12 11 11 10 10 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 6 5 5 5 6 7 nan
nan 8 7 5 4 5 6 10 12 11 10 8 8 7 6 5 5 6 7 7 4 2 2 3 4 5 6 8 9 9 7 7 7 9 12 14 13 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 8 7 5 5 6 7 8 7 7 8 10 11 11 11 12 12 12 12 13 13 14 13 13 12 11 10 10 10 9 8 8 9 11 12 10 7 7 7 8 8 8 8 8 9 9 8 7 7 9 12 14 14 12 10 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 8 8 7 6 5 5 5 6 7 nan
nan 8 5 3 4 7 9 11 11 11 9 8 6 6 5 5 5 6 6 4 2 2 4 6 7 9 11 13 13 11 9 9 10 12 13 13 12 10 9 9 8 8 8 8 8 8 9 9 9 10 11 11 10 9 7 6 6 7 8 8 7 6 7 9 12 12 12 12 12 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 11 11 9 7 7 8 8 8 8 8 8 8 8 7 7 7 10 13 15 15 14 12 11 9 9 9 8 8 8 8 8 9 10 10 11 12 12 11 9 8 7 6 6 5 5 5 6 7 nan
nan 7 5 5 7 10 11 11 10 10 9 7 6 6 6 6 5 4 3 1 1 3 6 7 9 11 12 13 12 11 10 10 10 10 11 10 9 9 9 8 7 7 8 9 9 9 9 8 8 9 9 9 8 8 8 9 11 12 12 11 9 8 10 12 12 11 11 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 11 11 12 11 10 8 6 7 7 8 8 8 8 8 8 8 8 7 7 8 10 11 12 13 14 15 14 12 11 9 9 9 9 9 9 10 10 11 11 11 11 10 9 7 7 6 6 6 6 6 6 7 nan
nan 7 7 8 10 12 11 9 9 10 9 8 7 7 7 5 3 3 2 2 4 6 7 7 9 10 10 10 10 10 10 10 9 10 11 10 9 8 8 8 8 9 10 10 10 9 9 8 8 8 8 7 7 8 9 11 13 13 13 12 11 12 12 12 9 8 10 13 14 14 13 13 12 11 10 10 9 8 7 7 8 9 11 12 12 11 9 6 6 6 8 8 8 8 9 10 10 9 8 7 7 7 7 8 9 11 13 14 15 14 13 12 12 13 13 12 12 11 10 10 10 9 9 8 7 7 6 6 7 7 7 6 6 6 nan
nan 7 7 8 10 10 8 7 7 9 9 8 7 7 6 4 3 4 5 6 7 7 7 7 7 7 7 8 10 11 11 10 10 12 12 10 8 7 7 8 9 9 10 10 9 9 8 8 7 7 7 7 7 8 9 10 10 11 11 12 12 13 14 12 10 11 13 14 14 14 13 11 10 9 8 9 9 8 6 5 6 7 9 11 11 10 9 7 7 8 8 8 8 9 10 11 11 9 7 5 5 5 6 6 6 7 9 11 13 15 16 17 18 19 19 17 15 12 9 8 7 7 6 6 7 7 7 7 8 8 8 7 6 6 nan
nan 6 7 8 8 8 5 5 6 8 9 8 7 6 4 3 4 5 7 8 8 7 7 7 7 7 8 10 12 11 10 10 10 11 11 10 8 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 10 11 12 14 14 14 15 17 17 15 12 11 10 9 8 7 8 9 9 8 6 5 6 8 9 9 9 9 9 9 10 10 10 9 9 10 10 11 10 7 5 4 4 5 5 5 4 5 7 9 11 13 16 18 20 20 20 18 14 10 7 6 5 5 5 5 6 7 8 9 9 10 9 8 7 6 nan
nan 6 7 8 7 6 5 5 6 7 8 8 6 5 4 4 5 6 7 8 8 8 8 8 8 8 9 11 11 10 9 9 9 10 10 9 8 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 8 8 9 10 11 13 15 15 16 17 18 15 12 8 7 7 7 7 7 8 10 9 7 6 7 8 9 9 8 8 9 10 11 12 12 11 10 10 10 9 8 6 5 5 5 5 6 5 5 5 6 8 9 9 10 12 13 14 14 13 9 6 5 5 4 4 4 5 6 7 9 9 10 10 10 10 9 7 6 nan
nan 7 8 8 7 6 6 7 6 6 6 7 6 6 6 6 7 8 9 9 8 8 8 8 8 8 9 9 9 8 7 8 9 9 9 9 8 7 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 12 14 14 14 14 14 12 9 6 4 4 5 6 7 8 10 9 7 6 7 8 9 9 9 8 8 9 10 11 12 12 12 12 11 11 9 7 5 5 6 7 7 7 6 6 7 8 9 9 8 8 9 9 9 8 5 1 -0 2 4 4 5 6 7 8 9 10 11 11 11 11 10 8 7 6 nan
nan 7 7 7 6 7 8 7 6 5 6 7 7 8 8 9 10 10 10 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 10 11 11 12 12 11 10 8 5 2 1 2 3 4 5 7 8 9 8 7 7 9 10 10 9 8 8 9 10 10 10 10 11 11 12 11 11 9 7 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 7 6 2 0 1 4 6 7 8 8 9 10 11 11 12 11 11 10 9 8 7 6 nan
nan 7 7 8 8 8 7 6 4 3 6 8 8 9 10 10 10 9 8 7 8 8 9 9 9 9 9 8 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 8 8 8 7 7 7 8 9 9 9 9 10 10 9 8 7 6 5 3 1 2 3 4 4 4 5 7 8 8 9 10 11 11 10 10 10 10 11 11 10 10 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 8 9 8 7 5 3 3 6 9 12 12 12 11 12 12 12 12 12 11 10 9 7 7 6 6 nan
nan 8 8 9 9 8 5 3 3 4 6 8 10 11 11 10 8 7 7 8 9 9 10 10 10 9 9 10 11 12 10 8 8 9 10 9 9 9 9 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 4 4 5 6 7 7 6 6 6 7 9 10 11 11 9 9 9 11 12 13 12 11 11 10 9 8 8 8 7 6 6 7 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 7 6 7 10 15 18 18 17 16 14 13 13 12 12 11 10 8 7 6 6 6 6 nan
nan 8 9 9 7 5 4 3 4 6 7 10 12 12 11 9 8 7 9 9 10 10 11 11 11 10 10 11 12 11 9 7 9 10 11 10 9 7 7 7 8 8 6 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 7 8 9 10 10 10 10 11 12 12 12 10 8 7 7 10 13 14 13 11 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 12 17 21 21 20 19 19 17 15 13 12 11 9 7 6 5 5 5 5 6 nan
nan 8 8 7 5 5 5 6 7 8 10 12 13 13 11 9 9 9 9 8 7 8 9 10 10 10 11 12 12 12 9 9 10 11 11 9 8 7 7 8 9 9 8 7 7 8 8 7 7 7 7 7 7 8 8 7 7 6 6 6 5 6 7 7 7 8 8 9 10 11 12 12 13 14 13 11 8 7 7 9 12 13 12 10 9 8 7 6 7 8 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 13 16 17 16 16 17 18 17 15 12 10 8 7 5 4 4 4 5 6 6 nan
nan 8 8 7 7 7 8 8 8 9 11 13 13 12 11 10 9 8 7 6 5 7 8 9 9 10 11 12 14 14 12 12 11 10 8 7 7 8 10 11 11 11 11 12 13 12 10 7 5 4 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 7 8 9 10 11 11 12 12 11 9 7 7 9 12 12 10 7 6 6 6 6 6 8 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 12 9 7 5 4 4 4 4 5 6 6 6 nan
nan 8 8 8 8 8 9 8 8 10 12 13 13 12 10 9 9 8 6 5 6 7 9 9 10 10 11 12 14 14 13 12 11 9 7 6 7 10 12 12 11 11 13 15 15 14 11 9 7 7 8 9 9 9 9 8 8 8 8 8 8 9 10 9 8 8 8 8 8 9 10 10 11 11 10 8 7 8 11 12 11 8 6 6 6 5 5 6 8 8 8 8 9 9 10 11 12 12 11 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 9 8 7 6 6 6 6 6 6 4 4 3 3 4 5 5 6 6 6 6 nan
nan 8 8 8 8 8 9 8 8 9 11 11 11 10 9 8 7 6 4 4 6 9 11 11 12 12 12 13 13 13 11 10 11 12 11 10 10 12 12 11 11 11 12 13 13 12 12 12 12 12 11 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 10 11 11 10 9 8 11 13 13 11 10 9 10 9 7 7 7 7 6 7 7 8 9 10 12 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 10 9 8 6 3 0 -2 -3 -3 -3 -1 2 3 4 6 6 7 7 7 6 6 nan
nan 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 5 4 4 5 9 12 12 12 12 13 13 12 11 9 7 8 11 14 14 13 14 15 14 12 11 11 11 11 11 11 11 13 14 13 10 8 7 6 5 4 4 3 3 4 4 5 6 7 8 8 8 8 9 9 9 10 11 11 12 11 12 13 14 14 13 12 13 13 12 12 11 10 9 8 8 8 8 8 10 11 11 10 10 11 11 11 11 11 10 10 10 10 12 13 12 11 9 9 10 9 6 3 0 -2 -3 -4 -3 1 4 6 7 8 8 8 7 6 6 6 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 10 9 7 6 5 6 8 12 13 11 10 11 11 10 8 7 5 6 8 12 14 14 15 17 16 14 13 12 11 10 9 9 10 11 12 12 11 10 10 8 7 6 5 4 3 2 1 2 2 4 6 8 8 8 8 8 8 9 9 10 11 11 11 12 13 14 14 13 12 14 14 14 14 14 12 12 11 10 9 7 8 9 9 8 9 10 11 11 12 12 12 11 10 10 11 12 11 10 8 8 8 8 8 7 7 8 8 6 5 6 7 8 8 8 8 8 7 6 6 5 5 nan
nan 8 8 8 8 8 9 9 9 8 8 10 12 13 11 9 7 6 7 9 11 10 7 7 8 7 7 7 7 8 10 13 15 16 16 17 17 14 12 11 10 10 10 9 9 9 10 10 11 12 12 12 12 11 10 9 8 7 6 6 5 4 5 6 7 8 8 8 8 7 8 9 9 9 9 9 11 13 13 12 11 11 12 13 13 13 13 13 14 14 12 10 8 7 8 7 8 9 10 11 11 12 12 11 11 11 12 11 10 8 7 7 8 8 7 7 9 11 14 16 15 13 11 9 9 8 8 8 7 6 6 5 5 5 nan
nan 8 8 8 8 8 9 9 9 8 9 11 13 14 12 9 6 5 6 8 9 7 6 6 6 6 7 9 12 13 15 15 15 15 16 17 15 12 10 9 9 9 9 9 10 10 10 10 11 12 12 11 11 11 11 12 11 11 12 12 11 10 9 8 8 7 7 8 7 7 7 8 8 8 8 9 10 11 11 10 10 10 11 11 12 12 12 12 14 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 14 16 15 12 10 8 8 7 7 6 6 6 5 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
17 14 10 13 16 19 20 19 21 24 28 32 35 37 37 36 34 35 38 41 46 46 45 45 44 44 43 41 39 38 38 35 33 31 31 31 29 27 25 24 23 24 26 26 24 25 25 24 22 21 19 16 12 9 8 8 6 7 7 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 3 12 16 21 27 28 35 41 47 51 55 58 61 64 68 58 51 109 225 402 612 816 937 935 906 878 894 928 940 955 971 982 1002 1111 1462 1998 2186 2524 2902 2729 2266 1758 1390 1194 1157 1435 2097 2608 2429
18 15 5 5 7 12 20 21 21 22 24 27 31 35 39 41 39 34 34 35 41 45 47 48 48 48 47 46 43 41 41 38 36 35 35 35 34 31 27 25 26 27 28 24 22 22 22 22 20 17 13 8 6 6 5 6 6 6 6 6 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 1 4 6 14 22 26 32 38 44 51 54 52 55 59 67 65 57 55 72 160 340 575 764 842 870 892 882 881 931 963 969 969 970 944 978 1632 2108 2483 2644 2515 2191 1765 1383 1199 1239 1532 2140 2759 2634
6 3 2 3 3 6 10 15 19 22 25 28 29 30 35 39 44 39 35 33 34 36 40 45 49 52 52 51 49 46 45 42 40 40 40 38 37 35 29 29 29 30 30 26 23 22 22 21 19 15 9 7 6 6 5 6 6 6 5 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 1 2 7 15 22 29 35 42 51 56 53 53 56 62 65 64 63 62 73 138 284 472 637 740 826 847 860 917 973 974 952 994 968 921 1276 1817 2322 2484 2317 2024 1683 1335 1204 1384 1902 2517 2924 2805
3 4 3 1 1 3 6 9 13 17 22 26 29 29 32 32 36 38 38 36 33 32 32 35 40 47 51 52 52 52 52 51 48 46 45 43 41 42 40 34 32 32 31 28 25 24 23 21 18 15 11 10 8 7 6 5 5 5 4 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 8 16 24 29 38 51 58 56 55 56 58 64 68 66 64 65 75 120 246 402 547 692 795 855 907 955 967 949 1017 1010 966 1099 1523 2098 2361 2218 1925 1625 1354 1183 1445 2143 2712 2972 2889
3 6 3 1 0 1 2 5 9 13 16 19 23 28 31 30 31 33 36 38 37 35 31 31 32 34 40 43 48 51 55 56 54 51 51 51 49 47 46 41 38 36 35 31 27 26 24 22 21 17 13 11 9 7 6 4 3 3 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 0 0 0 0 0 0 1 3 9 19 25 34 45 51 54 55 56 57 62 69 69 64 64 73 74 125 218 364 558 741 844 889 906 921 930 977 982 954 983 1323 1863 2233 2228 1945 1612 1381 1210 1401 1905 2398 2742 2893
1 0 0 0 0 0 0 2 6 11 15 16 17 22 26 30 32 30 29 32 36 38 37 35 33 31 31 33 37 41 46 49 51 51 53 53 52 51 50 49 46 45 44 37 29 28 26 23 21 18 12 9 6 4 3 2 2 2 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 0 0 0 0 0 1 4 12 21 30 41 49 53 54 56 60 63 68 72 68 56 67 71 81 121 225 382 554 724 851 909 921 904 916 929 925 947 1149 1599 2086 2279 2002 1619 1412 1307 1329 1523 1936 2544 3075
0 0 0 0 0 0 0 0 2 6 12 14 12 16 18 22 29 31 30 29 30 32 36 37 37 36 34 33 32 33 35 36 39 44 47 50 51 53 52 51 52 54 52 44 34 29 26 21 20 17 11 7 5 3 2 2 2 3 2 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 0 0 0 2 6 12 24 37 45 49 51 56 65 71 68 71 75 65 63 69 79 89 131 234 342 541 709 844 919 888 863 879 910 943 1031 1310 1824 2171 2075 1813 1544 1370 1297 1326 1551 2036 2587
0 0 0 0 0 0 0 0 0 2 6 9 11 13 14 15 19 24 27 30 30 30 30 31 33 37 38 36 34 34 33 31 32 34 37 42 45 48 51 52 55 58 55 49 39 31 28 21 20 18 12 8 4 2 2 3 2 2 0 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 1 3 9 22 31 38 43 49 59 69 82 71 69 75 74 68 68 77 85 93 146 257 408 529 699 831 851 838 859 904 935 920 1021 1465 1871 2002 1865 1636 1451 1333 1269 1313 1535 1936
0 0 0 0 0 0 0 0 0 1 3 5 15 13 13 13 14 15 18 20 23 26 30 25 25 30 34 35 35 36 35 33 31 31 33 34 37 39 44 49 53 56 55 50 43 34 31 22 19 16 11 7 4 2 2 3 2 1 0 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 3 5 12 20 29 36 44 62 70 81 78 73 72 76 75 71 74 82 84 90 134 265 381 536 678 764 804 824 866 943 859 906 1167 1507 1824 2016 1915 1598 1401 1246 1195 1293 1510
0 0 0 0 0 0 0 0 0 1 3 3 8 7 8 9 11 11 12 13 14 18 26 27 26 27 29 30 31 33 36 37 35 32 32 33 31 31 35 41 47 51 51 49 45 36 31 23 17 13 9 7 5 4 2 3 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 0 0 1 2 4 7 13 21 31 37 57 65 71 75 75 73 74 76 74 75 78 81 81 73 157 275 400 528 649 745 784 801 830 823 874 995 1159 1477 1850 1856 1775 1558 1305 1177 1192 1310
0 0 0 0 0 0 0 0 0 1 4 4 4 5 5 6 6 6 7 8 10 12 16 22 26 28 29 29 29 29 31 32 35 35 36 35 34 32 32 35 40 45 46 44 42 35 28 21 15 12 8 6 6 4 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 0 0 0 0 0 0 0 0 1 2 3 5 7 14 27 34 47 59 67 72 74 73 72 73 73 73 74 80 80 77 112 188 298 418 495 634 710 745 745 752 854 973 1028 1171 1552 1908 2069 1834 1509 1294 1207 1208
0 0 0 0 0 0 0 0 0 1 3 5 4 4 5 5 5 5 5 5 6 8 10 14 17 20 24 27 29 30 31 30 30 32 34 38 39 37 36 37 40 41 42 41 39 33 26 18 14 11 8 5 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 1 1 2 2 3 5 5 6 9 19 29 39 51 60 62 63 70 73 70 71 74 76 80 81 79 87 126 212 315 347 495 620 697 705 697 805 964 1009 1028 1191 1659 2047 2051 1828 1557 1324 1197
0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 5 5 5 5 5 5 7 8 10 12 14 19 24 27 31 33 33 31 29 30 35 38 39 41 42 42 41 37 32 27 19 14 11 9 7 6 4 2 2 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 0 0 0 0 0 1 2 3 4 4 4 6 7 7 8 13 21 31 42 50 52 54 62 72 70 70 74 76 78 79 79 78 85 125 199 272 394 520 636 662 658 751 886 952 997 976 1202 1611 1915 2027 1920 1611 1309
0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 5 5 5 5 5 5 5 6 6 7 9 11 12 16 19 22 27 29 33 29 26 27 30 33 35 36 38 34 31 24 18 14 10 8 7 6 5 4 4 2 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 0 0 0 1 2 3 4 5 5 7 8 8 8 10 14 21 31 39 42 42 53 65 69 71 73 75 79 81 81 81 78 82 126 211 322 435 557 634 636 698 812 856 950 983 1022 1197 1507 1902 2212 1908 1585
0 0 0 0 0 0 0 0 0 2 2 3 5 5 5 5 7 7 5 5 5 5 5 6 7 8 9 10 11 12 15 12 13 21 25 24 21 20 22 23 23 28 24 23 17 12 9 6 4 3 3 3 3 3 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 4 5 5 6 7 9 8 10 10 11 11 14 21 29 36 33 46 55 64 71 73 75 78 80 83 84 84 85 94 148 249 369 477 562 607 650 755 801 879 949 996 1023 1088 1434 2114 2071 1794
0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 6 7 7 6 7 8 9 8 8 8 9 12 9 8 11 15 18 18 16 16 15 14 17 14 12 9 7 4 2 1 1 2 1 1 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 1 1 4 7 8 8 10 11 12 10 10 12 12 12 11 14 22 34 35 40 46 57 67 73 76 80 81 85 88 91 92 89 112 179 280 389 479 562 612 688 755 819 874 943 983 860 994 1577 1877 1851
0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 5 5 6 7 7 8 8 8 8 8 6 6 6 7 8 10 11 9 7 8 9 9 10 10 10 8 6 4 3 2 1 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 1 2 3 6 9 11 10 12 13 14 13 13 13 13 13 12 11 17 28 35 36 38 48 62 69 75 83 91 95 94 96 98 97 103 135 205 310 406 507 565 634 713 794 859 874 968 890 900 1121 1550 1833
0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 7 9 8 6 5 6 7 7 6 6 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 1 4 6 9 12 11 12 13 14 15 15 14 14 14 14 12 14 20 29 34 35 40 55 65 76 82 96 106 106 104 102 102 105 113 169 239 343 435 501 573 655 723 806 846 910 905 903 928 1200 1561
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 4 4 4 4 4 5 6 5 4 5 5 6 5 4 4 5 6 5 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 0 0 0 0 0 0 0 0 0 0 2 3 5 7 8 11 11 12 13 14 15 17 18 17 15 14 12 12 15 23 31 35 38 47 59 77 83 99 116 123 120 112 109 111 113 178 233 283 346 421 495 563 640 713 784 874 905 909 903 997 1216
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 3 4 4 5 5 6 5 5 5 5 5 4 4 6 5 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 2 3 5 8 10 11 12 14 16 16 16 16 21 21 20 17 15 13 12 14 19 27 34 39 43 50 65 77 91 109 129 137 128 119 117 117 152 204 237 280 357 424 477 556 641 700 803 873 904 913 939 1053
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 2 5 10 13 15 16 18 20 21 20 19 21 23 23 22 19 16 14 13 14 17 22 30 38 41 45 55 68 81 100 128 140 142 135 127 123 127 150 190 234 290 348 418 483 530 584 670 779 875 922 917 1007
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 17 20 22 23 24 24 24 23 22 24 25 24 21 18 15 13 14 16 19 26 33 39 44 54 65 78 93 119 129 141 147 137 126 120 116 129 173 220 286 368 429 476 518 564 638 763 884 888 938
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 19 22 26 29 29 28 28 26 24 22 21 20 21 22 22 19 20 21 22 20 21 26 35 42 47 54 63 74 83 83 82 92 109 114 114 113 115 117 135 189 284 392 460 455 495 557 649 736 795
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