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
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nan 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 6 6 6 7 8 8 8 9 9 9 8 7 6 5 4 6 8 8 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 13 14 15 15 14 12 9 8 8 7 6 6 5 5 6 7 8 10 12 16 17 15 13 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 6 6 6 7 8 8 8 8 9 9 9 8 7 5 4 4 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 12 14 14 14 14 13 12 11 10 9 9 8 7 7 8 9 9 8 8 11 15 17 17 18 19 19 19 18 15 13 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 nan
nan 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 5 4 4 6 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 11 12 12 12 12 13 13 11 11 11 12 11 11 11 10 9 9 9 10 11 12 10 8 7 8 10 12 16 21 25 28 26 23 19 14 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 7 6 5 5 5 5 7 10 11 10 10 9 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 10 11 13 14 15 15 13 12 12 12 12 12 12 11 9 9 9 10 11 11 10 8 7 7 6 6 7 12 18 21 24 23 21 17 13 11 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 6 7 7 8 9 9 8 7 6 6 6 6 7 9 11 12 12 12 11 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 9 10 11 13 14 15 15 15 15 15 15 13 12 12 11 10 10 10 11 11 10 7 7 7 7 6 5 7 10 13 14 14 14 13 12 13 13 13 11 11 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 10 10 10 8 7 7 7 8 8 9 10 11 12 12 11 11 11 11 10 9 8 7 6 5 6 6 7 7 7 7 7 8 8 8 9 10 11 12 12 12 12 13 13 14 14 13 13 12 11 10 10 10 11 11 9 8 8 9 8 7 7 8 10 10 10 8 8 8 11 15 18 17 15 13 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 nan
nan 8 8 9 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 9 8 8 9 9 10 9 9 8 7 7 8 8 9 10 10 10 11 11 11 11 11 11 10 8 7 7 7 7 7 7 6 7 7 8 8 8 9 10 10 11 11 10 9 9 10 10 11 11 11 11 11 10 10 10 11 11 10 9 9 10 10 9 7 8 9 9 9 8 7 6 7 11 15 18 19 18 16 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 nan
nan 8 8 9 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 10 11 11 11 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 8 8 9 9 9 9 10 11 11 12 12 11 8 8 9 10 9 8 7 7 8 8 8 8 7 6 7 10 12 15 17 18 18 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 8 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 7 6 6 7 9 10 9 9 7 6 6 6 6 7 7 7 6 7 9 11 12 13 12 9 8 8 8 9 8 7 6 7 9 10 9 7 7 7 8 8 9 11 13 16 18 18 17 15 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 9 8 8 9 9 10 10 10 10 10 10 9 8 7 7 8 9 9 8 7 7 6 5 4 5 6 7 7 5 4 5 8 11 12 12 10 9 9 9 9 8 7 6 7 9 10 11 9 7 7 7 7 7 7 8 8 10 13 16 18 19 19 20 20 20 19 15 12 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 nan
nan 7 7 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 8 9 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 9 7 6 5 5 5 5 7 8 9 7 5 5 7 10 12 12 10 9 10 11 11 11 9 7 7 8 10 11 10 8 6 6 6 6 6 6 5 6 8 10 13 16 19 21 23 23 23 21 16 11 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 10 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 9 10 10 10 10 11 12 12 10 7 6 5 5 6 6 7 9 11 9 7 6 8 10 12 12 11 9 10 11 12 12 11 10 8 8 9 10 10 8 6 6 6 7 6 6 5 5 6 8 9 10 12 14 16 17 17 14 10 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 7 7 8 9 10 10 10 9 9 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 11 10 9 6 5 4 5 6 7 8 9 10 10 7 6 7 10 12 13 11 10 10 10 11 11 11 11 10 10 11 11 11 9 7 6 7 8 8 7 6 6 6 7 8 8 8 8 9 10 11 9 5 0 -0 4 6 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 6 5 5 6 6 7 8 9 10 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 9 10 10 10 9 9 8 7 5 3 3 4 5 6 7 8 9 9 7 5 6 9 11 12 11 10 9 9 10 10 9 9 9 10 11 11 12 11 9 7 8 8 9 9 8 8 8 8 8 7 7 7 7 8 9 8 6 2 -1 1 5 7 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 nan
nan 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 5 5 5 6 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 6 5 4 4 6 7 6 6 6 6 7 7 7 7 9 11 11 10 9 9 9 10 10 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 7 6 7 7 8 8 6 4 2 3 7 11 12 12 10 9 9 9 9 10 10 10 11 11 12 12 12 13 nan
nan 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 5 5 6 7 8 9 9 9 8 9 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 8 10 10 9 8 7 6 7 7 8 9 10 10 8 8 8 9 10 11 11 10 10 9 9 9 9 9 8 8 9 10 10 10 10 10 9 9 9 9 8 7 6 7 8 8 8 6 5 7 11 17 20 20 17 15 13 11 10 10 10 10 10 11 11 11 11 12 12 nan
nan 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 7 6 5 6 7 8 9 9 8 7 7 8 9 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 8 10 11 11 10 10 10 10 9 9 9 9 8 7 7 8 10 11 11 11 10 10 8 8 9 10 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 14 20 24 24 22 21 19 17 14 12 10 10 10 10 10 10 10 10 9 10 nan
nan 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 7 6 8 9 10 11 11 10 10 9 8 9 8 8 7 6 7 7 7 6 6 7 7 7 6 6 7 7 7 9 10 10 10 10 11 11 11 10 10 9 8 7 7 8 9 10 10 9 9 9 7 7 8 9 11 12 13 14 15 15 15 14 14 13 12 11 10 11 11 11 12 13 13 12 11 10 10 11 15 18 19 18 18 19 20 19 16 12 10 9 9 9 8 8 7 7 7 8 nan
nan 8 8 8 7 7 8 8 8 8 7 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 10 11 11 11 11 11 11 10 10 9 9 7 6 6 7 7 6 6 5 6 6 6 7 8 9 9 8 8 8 8 8 9 10 10 10 10 9 8 7 8 8 9 9 7 5 5 6 6 6 6 8 10 11 12 12 14 14 15 14 13 11 10 9 9 9 10 10 11 12 13 13 13 12 10 10 9 10 10 10 10 11 13 16 16 15 12 10 9 8 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 7 6 5 6 8 10 11 11 11 11 11 11 10 10 10 9 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 8 8 7 7 7 8 9 10 10 10 9 7 7 7 9 9 7 5 4 5 6 5 5 7 9 10 10 10 11 12 13 13 13 11 9 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 8 7 7 6 6 6 7 9 10 9 9 8 7 6 6 6 5 6 6 7 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 8 8 7 6 7 8 9 9 9 10 10 10 10 9 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 11 10 9 8 7 8 9 9 8 7 7 8 8 8 8 8 8 8 9 10 10 11 12 13 12 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 8 6 3 -0 -2 -2 -1 1 4 6 7 7 6 6 6 6 7 7 7 nan
nan 8 8 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 9 10 10 9 8 9 9 11 11 11 10 9 8 7 6 6 6 5 5 5 5 5 5 6 7 7 7 7 8 8 9 9 10 10 10 10 9 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 10 11 12 11 11 11 11 12 12 11 11 10 10 10 10 10 10 9 8 8 9 10 9 6 3 0 -2 -3 -3 -0 4 6 7 8 7 7 8 8 8 8 8 nan
nan 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 7 7 7 8 8 8 7 7 7 7 7 8 9 10 10 10 10 11 11 10 9 9 9 9 10 11 11 10 9 9 8 8 7 7 6 5 4 4 3 4 5 6 6 7 7 8 8 8 9 10 11 11 11 11 11 12 11 11 11 12 13 14 14 13 12 12 11 10 9 8 9 10 10 9 10 11 12 13 13 13 12 11 11 11 11 11 10 8 7 8 9 9 9 9 9 10 9 7 6 7 8 8 9 9 8 8 8 8 8 8 8 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 11 12 13 12 10 9 9 9 9 10 11 11 11 11 11 11 11 10 9 9 8 6 5 5 5 6 7 7 7 8 8 9 10 11 11 10 10 11 11 11 11 10 10 11 12 13 13 12 11 12 12 10 8 7 8 9 8 9 10 11 12 12 12 12 12 11 12 12 12 11 9 8 9 10 10 9 10 12 15 17 18 16 13 11 10 10 9 9 9 9 8 8 8 8 8 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 7 8 9 9 10 10 8 6 6 6 6 6 7 7 8 9 9 9 8 8 8 9 10 10 10 10 11 12 13 12 11 10 9 8 8 9 10 10 10 11 11 11 12 12 12 12 12 10 9 7 7 7 7 7 7 7 8 9 10 10 10 10 9 10 10 10 9 9 9 9 10 11 11 10 10 11 11 9 8 8 10 10 10 10 10 10 10 10 11 11 11 12 13 13 12 10 10 11 13 13 13 13 13 13 15 16 16 15 12 10 9 9 9 9 8 8 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 5 5 5 5 5 4 5 7 8 9 10 12 14 15 18 20 21 22 23 23 24 25 23 23 24 24 24 25 26 26 27 28 28 29 30 31 31 32 32 32 32 32 33 32 32 32 31 30 29 29 27 26 22 19 17 15 13 9 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 1 5 5 4 3 3 2 2 3 4 6 7 10 16 23 33 43 47 47 48 48 49 55 65 72 57 52 147 399 692 927 1093 1198 1441 1894 1888 1634 1317 1111 1063 1072 1093 1091 1021 959 969
8 7 6 6 7 6 5 7 8 10 11 13 15 15 16 18 21 21 22 21 20 21 22 22 23 22 23 23 22 23 25 26 26 27 27 28 29 29 30 31 32 32 32 32 32 32 32 31 30 28 27 27 27 25 21 18 15 13 9 6 5 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 2 6 7 6 6 6 6 5 4 4 6 7 8 11 17 25 35 44 48 51 52 49 45 48 68 68 59 84 190 362 562 796 807 1036 1451 1723 1740 1511 1217 1061 1083 1153 1164 1039 974 977
6 5 4 4 5 4 4 5 7 9 12 15 18 19 18 19 19 21 23 22 21 20 21 22 22 23 23 22 21 21 22 23 24 25 26 26 26 26 27 28 29 30 31 31 32 31 31 30 29 27 25 24 25 24 22 20 18 14 11 8 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 0 0 3 7 9 9 8 8 8 8 5 5 6 7 7 8 12 18 26 36 43 49 54 52 49 48 56 64 66 70 100 185 288 461 546 702 1014 1406 1655 1632 1424 1189 1084 1119 1244 1122 990 953
3 3 2 2 3 3 3 3 5 7 10 13 16 19 20 22 23 24 26 27 27 25 24 24 23 23 23 23 22 22 21 21 21 22 23 24 23 24 25 25 26 28 28 29 29 29 29 28 27 25 23 22 21 22 23 23 20 16 13 10 7 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 1 5 8 10 10 10 10 10 9 8 7 7 8 7 7 9 14 21 29 37 46 52 56 54 49 50 58 68 72 72 105 168 285 371 437 629 994 1373 1592 1594 1350 1121 1059 1154 1099 986 918
2 2 2 2 2 2 2 3 4 6 8 11 14 18 20 21 22 24 26 28 30 32 30 30 29 25 25 24 23 22 22 22 21 20 20 19 19 20 22 23 23 24 25 25 25 25 25 25 25 23 21 18 19 20 22 23 22 18 15 13 8 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 5 8 9 10 11 11 11 12 12 10 9 9 8 8 8 11 16 24 32 41 48 54 56 53 48 50 64 73 74 81 113 177 275 326 403 627 987 1376 1560 1422 1242 1138 1095 1054 989 923
1 1 2 1 1 1 1 2 4 5 7 10 12 15 19 21 22 22 21 21 21 23 25 27 28 28 28 28 24 21 20 21 21 22 22 20 19 17 16 17 18 20 21 22 22 22 22 22 22 21 19 17 15 16 18 21 21 20 17 14 6 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 6 7 8 10 11 12 13 14 14 14 13 12 10 9 9 9 14 21 29 36 42 47 53 56 53 48 52 63 76 76 84 125 215 289 323 400 604 1114 1294 1321 1244 1197 1158 1078 1007 954
0 0 0 0 0 0 0 1 3 5 7 8 10 13 17 19 20 21 20 20 19 18 18 19 21 23 25 29 24 19 18 18 19 20 22 23 23 21 19 16 15 16 17 17 17 17 17 18 19 19 18 16 14 13 15 17 20 21 19 16 6 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 3 6 6 6 8 9 11 13 16 17 16 17 17 15 14 12 11 9 13 19 27 34 38 42 47 52 56 51 49 56 74 78 79 92 131 202 270 291 345 742 985 1082 1083 1117 1140 1052 993 954
0 0 0 0 0 0 0 1 2 4 6 8 10 11 14 15 16 18 19 19 20 20 20 18 20 19 17 21 20 18 17 17 16 17 17 19 21 23 22 21 18 17 15 14 12 11 10 10 13 15 15 14 13 12 12 14 16 20 18 19 10 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 1 3 7 8 6 6 9 12 14 16 16 17 19 19 18 18 15 13 13 14 18 24 33 39 40 44 49 52 50 49 51 62 70 75 79 82 106 198 246 268 457 700 896 954 959 1011 978 954 946
0 0 0 0 0 0 0 1 2 3 5 7 7 9 12 14 15 15 15 15 16 17 18 19 20 20 17 15 15 15 14 14 14 15 16 17 17 18 19 20 20 19 17 15 13 10 7 5 7 9 11 12 11 9 9 11 12 16 17 18 14 7 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 4 7 8 7 6 9 13 16 16 15 17 20 21 20 20 18 15 13 14 16 21 29 36 40 42 46 49 47 47 49 54 62 71 80 76 73 139 193 222 298 429 631 840 916 958 931 897 917
0 0 0 0 0 0 0 1 2 2 4 4 5 8 11 12 13 14 14 14 13 13 13 14 16 17 17 16 14 12 12 12 12 13 16 14 15 16 16 16 16 16 14 13 11 8 6 4 3 3 5 8 8 8 8 8 8 11 14 15 14 7 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 4 6 7 9 9 12 15 16 15 15 17 21 23 22 22 20 17 15 15 16 18 23 31 38 39 42 42 41 43 47 53 59 65 81 80 74 101 144 192 260 361 495 691 885 972 925 868 887
0 0 0 0 0 0 0 0 1 2 3 4 5 7 8 9 9 9 9 10 11 11 11 12 12 12 13 14 14 13 11 11 11 11 14 16 17 17 16 14 13 12 10 7 5 4 4 3 1 0 1 3 4 6 6 6 6 8 10 11 12 8 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 5 8 10 12 15 18 19 17 16 17 19 22 24 25 25 24 20 16 15 15 16 19 23 31 33 33 33 34 37 42 50 57 62 73 75 71 78 115 176 239 315 418 579 819 949 935 882 869
0 0 0 0 0 0 0 0 0 1 2 4 5 5 6 6 7 7 6 6 7 8 8 10 10 10 9 10 12 13 10 9 10 12 14 14 14 14 14 13 12 11 8 4 2 2 2 1 1 0 0 0 1 4 4 4 4 4 6 7 8 7 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 7 11 14 18 20 22 22 19 18 19 20 23 24 25 26 25 22 18 16 16 16 17 19 22 24 25 25 26 30 35 42 50 55 62 67 67 69 93 142 188 250 322 445 668 841 918 912 867
0 0 0 0 0 0 0 0 0 1 2 3 4 3 4 4 4 3 4 4 4 5 5 6 8 8 8 8 9 10 9 7 10 12 13 13 13 13 12 11 10 8 6 4 1 0 0 0 0 0 0 0 0 2 2 3 3 3 4 4 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 4 8 13 18 23 26 27 28 26 23 21 21 23 25 26 27 26 24 22 20 18 18 17 17 17 17 16 17 20 26 30 36 41 46 52 58 61 64 75 97 127 220 272 344 490 667 813 886 873
0 0 0 0 0 0 0 0 0 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 7 7 8 9 10 10 10 10 11 11 10 8 7 4 2 2 0 0 0 0 0 0 0 0 0 0 0 1 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 1 4 9 14 20 26 30 31 32 32 28 25 24 25 26 28 28 27 25 26 24 20 19 18 17 17 15 12 12 15 20 25 31 37 41 45 52 58 63 70 78 98 186 253 308 382 503 657 771 838
0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 8 8 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 21 27 30 33 35 37 34 33 30 27 27 28 29 27 25 27 26 23 20 18 17 16 13 9 9 10 13 19 25 31 37 42 49 57 66 71 79 101 159 225 267 293 381 534 660 747
0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 5 6 6 6 7 7 7 6 5 5 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 0 1 4 9 15 21 27 31 34 36 38 39 38 34 30 28 28 30 28 27 27 27 25 22 19 17 16 14 10 8 8 10 16 22 28 34 39 47 58 68 73 79 92 119 178 252 257 307 433 567 668
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 4 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 2 6 9 13 20 27 31 35 37 38 38 38 36 33 31 31 30 28 27 28 29 27 24 20 17 15 13 10 8 7 9 14 20 27 31 33 41 51 63 73 80 90 107 134 222 244 273 340 455 578
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 13 19 27 34 38 39 39 39 40 39 36 34 32 30 28 26 28 30 29 26 22 18 16 15 12 10 7 8 12 17 26 32 31 37 47 58 70 79 86 101 117 177 231 251 275 349 460
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 15 20 29 37 41 43 43 42 42 41 40 38 35 31 28 25 25 27 28 28 25 22 19 17 14 12 10 10 11 14 20 24 28 37 48 58 67 78 88 102 117 143 196 231 246 278 349
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 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 0 0 0 0 0 0 0 0 1 5 12 16 18 23 31 39 44 47 48 48 46 43 41 39 37 33 30 27 24 25 27 29 26 24 21 18 16 14 14 12 12 13 16 19 26 38 53 65 69 77 92 106 120 128 164 201 221 242 281
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 18 23 28 34 41 45 49 51 51 49 47 43 40 37 34 33 32 26 23 25 27 26 25 24 21 18 16 18 15 14 14 13 13 18 30 51 67 68 77 93 116 127 130 141 165 194 234 264
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 14 21 28 33 37 43 48 51 52 52 51 51 48 44 41 39 38 35 31 27 26 26 25 25 25 23 20 17 18 17 14 13 13 11 13 22 40 58 62 75 93 113 128 133 137 142 153 211 240
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 16 22 31 37 41 45 50 53 54 54 53 53 51 49 46 44 41 36 34 31 29 28 27 25 24 25 22 19 17 17 15 15 14 12 12 15 29 48 56 70 90 112 128 134 136 134 136 173 222
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 24 33 40 44 48 51 55 57 57 56 54 52 51 50 50 46 40 36 33 32 30 28 26 24 24 21 19 17 17 17 17 16 14 11 13 22 38 52 66 85 108 127 131 133 132 132 142 160
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 25 34 40 47 49 51 57 59 60 59 57 55 54 52 52 48 44 40 36 33 32 31 29 26 25 23 20 19 19 17 17 17 15 12 14 19 30 45 62 78 94 115 124 126 124 127 132 132
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 8 14 23 33 39 47 49 52 56 59 62 63 62 61 60 56 54 52 50 46 40 35 33 32 31 30 29 28 27 25 23 19 15 15 16 14 13 17 25 39 54 73 78 90 103 110 113 118 123 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 6 7 10 14 20 30 36 45 50 54 56 59 62 64 64 65 65 61 57 54 54 51 45 39 36 32 31 32 32 32 30 29 26 23 17 16 15 14 13 14 20 30 41 56 61 64 73 85 94 104 112 119
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 10 12 14 16 20 26 33 41 49 55 57 58 61 64 65 65 66 65 61 57 55 53 50 45 41 35 32 32 32 32 31 32 28 26 22 18 16 15 14 14 16 20 27 39 47 50 54 62 70 79 89 103
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 16 17 19 23 26 30 38 48 56 60 62 63 67 67 65 65 65 64 62 59 57 56 53 47 40 36 32 30 30 31 33 30 28 26 24 21 19 19 19 18 17 18 25 35 40 42 47 52 58 62 81
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 13 17 19 21 25 27 29 36 46 55 62 66 67 69 69 69 69 68 66 63 62 60 60 59 53 46 40 36 33 31 32 32 30 29 29 28 25 23 21 21 19 17 15 16 20 26 32 36 41 45 49 59
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