Vorticity
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nan 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 6 6 5 4 4 4 4 4 5 5 6 6 8 9 9 8 5 3 2 2 3 4 4 5 6 6 7 8 8 8 9 9 8 8 8 8 9 11 11 10 7 4 2 3 4 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 7 7 8 8 7 7 7 nan
nan 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 7 8 9 9 7 5 4 2 2 3 4 4 5 5 6 7 7 8 8 9 9 9 8 8 7 8 10 11 11 8 4 2 2 4 5 5 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 6 nan
nan 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 7 8 8 7 6 5 4 3 4 5 5 5 5 5 5 6 7 8 8 8 9 9 8 8 7 7 8 10 11 9 5 3 2 3 4 5 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 5 3 3 2 3 5 6 7 6 5 4 4 5 6 7 7 7 8 8 8 7 6 6 6 9 11 9 6 4 3 3 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 nan
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nan 8 9 8 8 7 7 8 10 11 11 11 10 10 10 10 9 9 10 10 11 11 11 10 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 9 8 8 8 8 8 9 11 11 11 11 9 7 5 5 5 4 3 2 3 4 6 8 10 14 19 21 21 20 18 16 16 15 15 14 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 11 10 9 8 7 8 10 12 13 13 12 11 11 10 10 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 10 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 10 11 12 12 11 9 7 7 7 7 6 5 4 5 6 5 6 9 14 17 20 21 20 20 20 19 19 17 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 9 nan
nan 11 10 10 10 10 10 13 15 15 13 12 11 11 11 11 11 11 11 11 12 12 10 9 9 8 8 7 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 7 6 6 6 7 8 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 10 9 8 8 7 8 9 10 10 9 8 8 9 9 8 8 7 7 7 5 4 5 7 10 14 18 19 21 22 23 23 22 19 16 14 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 nan
nan 11 11 11 12 12 12 14 17 16 14 12 11 11 11 11 11 11 12 12 12 11 9 8 7 7 7 6 6 6 6 7 7 6 6 6 7 7 8 8 8 8 8 8 9 10 10 9 8 7 6 7 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 10 11 11 11 12 12 12 11 9 8 7 8 9 9 9 8 8 9 9 9 8 8 8 8 7 5 4 4 5 9 12 15 17 19 21 24 24 21 18 16 15 13 12 11 11 10 10 10 10 10 9 10 10 9 9 9 10 10 9 9 9 8 9 9 9 9 9 nan
nan 11 11 11 12 12 12 15 18 17 14 13 12 12 12 11 11 11 12 12 11 9 8 8 7 7 7 7 7 6 5 6 6 7 8 8 9 9 10 9 9 8 9 9 10 11 10 10 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 13 13 12 10 10 9 9 9 10 9 9 9 9 9 9 9 7 7 8 8 7 6 5 5 7 8 10 10 12 15 19 21 22 21 18 16 14 13 12 12 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 nan
nan 11 10 9 10 11 13 16 18 17 15 13 12 12 11 11 11 12 12 11 9 8 9 10 10 10 10 10 10 9 8 7 8 10 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 8 7 7 7 8 7 7 7 7 8 10 10 10 10 9 10 10 11 11 10 10 9 10 11 12 11 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 7 8 10 14 18 21 22 21 18 15 14 13 13 12 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 nan
nan 9 8 7 9 12 13 15 16 16 14 12 11 11 11 11 11 11 11 10 8 8 11 12 12 13 13 14 13 12 11 11 11 12 13 13 12 11 11 11 10 10 10 9 9 9 9 10 10 11 12 13 13 13 12 10 10 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 9 9 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 11 15 19 22 23 21 19 16 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 nan
nan 8 7 7 9 11 11 11 13 14 13 11 10 10 11 10 10 9 9 8 8 10 12 13 14 15 15 14 13 13 13 12 12 11 11 10 10 10 10 11 10 10 10 10 9 10 10 10 10 10 11 12 12 12 12 13 14 14 13 11 9 8 7 7 7 7 8 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 13 12 10 9 8 9 10 10 9 9 9 8 7 6 6 6 7 8 8 9 12 15 19 22 24 23 21 18 16 14 13 13 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 nan
nan 8 7 7 8 9 8 8 10 13 12 9 8 9 9 8 8 8 9 9 11 12 13 14 15 15 15 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 12 14 16 16 16 15 13 12 10 8 6 5 7 9 10 10 9 9 9 8 8 8 8 8 8 8 9 10 12 13 13 12 10 9 9 9 10 9 9 9 9 8 7 7 7 7 7 7 7 8 10 14 18 22 25 25 23 21 19 18 17 16 14 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 6 6 9 11 11 9 7 7 7 6 6 8 10 11 12 13 13 14 14 14 14 14 14 14 13 12 12 13 12 11 9 8 8 9 10 11 11 10 9 8 8 7 8 9 9 9 9 10 11 12 14 15 15 16 15 14 12 10 7 6 7 8 10 10 9 9 9 8 8 8 8 8 7 6 6 7 9 11 12 13 12 11 10 9 9 9 9 9 10 10 9 8 6 6 6 6 5 5 6 8 11 15 20 23 25 26 25 25 25 24 22 19 15 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 nan
nan 10 10 9 8 7 5 6 8 11 11 9 7 6 6 6 7 8 10 11 11 12 12 13 14 14 15 16 15 14 12 11 12 13 12 10 9 8 8 9 9 10 11 10 9 8 7 7 8 8 8 9 9 9 10 11 12 13 14 15 15 15 14 13 12 10 9 9 10 10 9 9 9 9 8 8 9 9 8 6 5 5 6 8 10 11 12 12 12 11 10 9 9 9 9 9 9 8 6 5 5 5 4 4 4 4 6 9 13 17 21 24 25 26 29 30 29 26 21 17 15 14 13 12 11 11 10 10 10 10 9 9 9 9 nan
nan 11 11 10 8 6 5 6 8 10 11 10 8 6 5 5 7 8 9 9 10 10 11 11 12 13 15 16 15 13 12 11 11 12 11 10 9 8 9 9 9 10 10 10 9 8 7 7 8 8 8 8 8 9 9 10 10 11 12 13 14 15 15 16 15 14 11 10 9 10 10 10 10 10 9 9 10 10 10 9 7 6 6 7 9 10 12 13 13 13 12 11 10 9 8 7 7 7 7 6 6 5 5 4 3 4 6 8 9 11 13 16 17 19 21 24 26 26 23 20 17 16 15 14 13 12 11 11 10 10 10 10 9 9 nan
nan 11 12 11 9 7 6 6 7 9 11 12 10 7 6 6 6 7 8 8 8 8 9 9 10 11 12 14 14 13 12 12 11 11 11 11 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 8 8 9 9 10 10 11 13 13 14 16 16 15 12 10 9 10 10 11 11 11 10 9 9 10 10 10 9 7 6 7 8 10 11 11 12 13 14 13 12 10 9 7 6 7 8 8 7 7 6 5 5 5 6 7 8 8 8 9 10 11 12 14 17 19 19 19 18 16 15 15 14 13 12 11 11 10 10 10 10 10 nan
nan 10 11 11 10 9 8 6 6 7 10 13 11 9 8 6 6 6 6 6 6 7 8 8 8 9 10 11 12 13 13 13 12 11 11 11 10 10 10 10 10 10 11 11 10 9 9 9 8 8 7 6 6 7 7 8 9 9 10 11 11 11 11 12 13 12 11 9 9 9 9 9 10 10 10 9 9 10 11 11 10 8 7 7 8 9 10 10 10 12 13 13 13 12 10 9 8 9 9 9 9 8 7 7 6 5 5 6 7 8 8 8 8 8 9 10 12 14 15 16 16 15 15 14 14 13 12 11 11 10 10 10 10 10 nan
nan 10 11 11 11 10 9 7 6 6 9 12 12 11 9 8 6 4 4 4 5 6 7 7 7 8 8 9 11 13 13 13 11 11 11 10 10 10 10 10 10 11 12 12 11 10 10 9 8 7 7 6 7 7 8 8 8 8 9 9 9 8 7 7 7 7 8 9 8 8 7 6 7 8 9 9 10 10 11 12 11 10 8 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 7 6 4 5 6 7 8 8 9 9 11 13 14 14 15 15 15 14 14 14 13 13 12 11 11 10 10 10 9 9 nan
nan 9 10 11 11 10 9 7 7 8 9 11 12 12 10 8 6 4 3 4 5 6 7 7 7 7 8 9 11 12 11 10 11 12 11 10 9 9 9 9 9 10 11 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 6 5 5 5 5 7 8 8 8 7 6 6 7 9 10 11 10 9 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 7 5 4 4 5 7 8 8 9 11 15 17 18 19 19 18 16 15 14 13 13 12 12 11 11 10 10 9 9 nan
nan 9 10 11 10 9 8 8 9 9 10 11 12 12 10 8 7 5 5 5 5 6 7 7 7 6 7 9 10 10 8 8 11 13 12 10 8 7 8 8 9 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 8 8 8 9 10 10 11 11 10 9 8 8 10 12 12 11 10 10 10 9 8 8 9 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 7 5 4 4 5 6 7 7 10 14 17 19 20 21 22 22 19 16 14 14 13 12 11 11 10 10 9 9 nan
nan 9 9 10 9 9 9 9 10 10 11 11 12 11 10 8 7 7 6 5 5 7 8 8 7 7 8 9 10 9 7 8 11 12 12 10 8 7 8 10 10 9 8 8 11 13 12 11 10 9 8 7 6 7 7 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 11 13 13 11 10 9 8 8 9 10 11 10 9 8 8 8 8 7 8 10 11 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 7 6 5 5 6 7 7 8 11 13 14 16 19 23 25 24 21 17 16 14 13 13 12 11 10 10 10 nan
nan 8 8 9 9 9 9 10 10 11 12 12 11 10 9 8 7 7 6 5 5 7 9 8 8 8 9 10 11 9 7 7 9 11 11 10 8 8 10 11 10 9 8 9 12 13 13 12 11 10 9 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 9 11 12 12 10 8 8 9 11 11 11 9 8 6 6 6 7 7 8 8 9 10 12 13 13 13 12 11 10 10 9 9 9 9 9 10 10 9 8 7 6 8 9 8 8 8 9 10 12 14 17 21 25 25 21 18 16 15 14 13 13 12 11 10 nan
nan 8 8 8 9 9 9 9 10 12 13 12 11 9 9 8 8 7 5 5 6 7 8 9 9 9 10 10 11 10 8 7 7 9 10 9 9 10 11 10 10 9 8 9 11 11 11 11 12 13 12 10 9 9 9 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 11 11 10 8 6 7 9 12 13 11 10 8 6 5 4 5 6 7 7 7 8 10 12 13 13 14 13 12 11 10 10 10 10 10 10 10 11 10 9 8 9 10 10 8 7 7 8 9 9 10 14 20 22 21 19 17 16 15 14 13 12 11 11 nan
nan 8 8 8 9 9 9 9 9 11 13 13 11 9 8 8 7 6 5 5 7 8 8 8 9 10 10 11 11 10 8 6 7 8 9 10 11 11 10 9 9 9 9 9 10 10 10 11 13 14 13 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 9 10 10 11 12 10 8 7 7 10 12 13 13 12 11 9 8 7 6 6 6 6 6 7 8 10 12 13 13 13 13 12 12 12 11 11 10 11 11 11 12 11 10 10 11 11 11 9 8 8 6 5 4 4 9 14 16 16 16 15 13 13 12 12 11 11 nan
nan 8 8 9 9 9 9 9 9 11 12 13 12 10 8 6 6 5 6 7 9 10 8 8 9 10 11 10 10 9 7 7 8 9 9 10 12 12 9 8 9 10 9 9 9 9 9 10 11 11 10 8 7 6 5 5 6 6 6 6 7 7 8 8 9 8 8 9 10 10 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 9 7 7 7 7 9 10 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 12 12 11 9 8 7 5 2 0 1 5 9 11 11 11 11 11 11 10 10 10 nan
nan 8 8 8 8 9 9 9 9 10 11 12 13 11 8 6 5 5 6 9 12 11 8 7 8 9 9 8 7 7 8 9 10 9 7 9 12 12 10 9 10 10 10 9 9 9 9 9 8 8 9 9 8 7 7 7 7 6 6 6 5 5 6 8 9 9 9 9 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 11 12 13 14 13 12 11 9 8 6 7 8 8 9 11 12 12 12 12 13 13 13 11 10 9 9 9 9 8 8 9 10 9 9 9 10 10 8 6 4 4 5 6 7 8 8 9 9 9 8 8 nan
nan 8 8 8 8 9 9 9 9 9 10 11 13 12 10 6 4 4 6 9 12 10 8 7 7 7 7 8 8 9 11 12 12 10 7 9 11 11 10 10 9 10 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 10 10 9 7 6 7 8 9 9 9 9 9 9 9 9 10 9 8 9 10 11 11 9 7 7 8 10 11 13 13 13 14 14 12 10 8 6 6 7 8 10 11 12 11 11 12 13 13 12 10 9 8 6 6 6 7 7 7 7 9 10 13 16 17 16 13 9 7 7 7 7 7 7 7 8 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 11 12 12 10 6 4 3 5 8 10 9 8 8 7 7 8 9 11 12 13 13 12 10 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 11 12 13 13 13 13 13 11 10 10 10 9 9 8 8 8 8 8 8 9 8 8 9 10 10 10 9 7 7 7 8 9 10 11 12 13 13 13 12 11 10 9 9 9 10 11 11 10 10 10 11 12 12 11 10 8 7 7 8 9 9 9 9 10 11 12 15 18 20 19 15 12 10 9 8 8 7 7 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
38 27 23 21 22 26 29 38 42 45 47 44 37 27 19 14 13 20 18 13 13 9 5 5 7 9 8 8 9 13 16 21 26 33 41 47 49 51 51 52 53 55 53 50 56 66 77 83 84 82 79 76 74 73 72 66 58 48 40 40 48 52 40 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 20 26 26 32 30 20 18 18 15 14 20 27 34 38 41 42 41 39 37 35 32 25 22 21 21 19 18 18 18 20 21 22 22 22 23 25 26 27 29 29 28 25 19 15 11 9 6 5 4 3 2 1 1 0 0 0
35 26 23 20 20 22 26 35 41 44 44 40 32 26 22 19 18 18 13 10 10 9 6 5 5 5 5 5 5 7 11 15 21 28 36 45 53 59 63 64 62 60 54 48 52 56 58 60 63 67 70 71 74 76 77 74 66 55 47 46 52 56 47 26 8 2 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 23 44 58 44 25 18 18 17 22 27 30 33 35 34 32 30 27 27 25 19 15 14 11 12 12 10 11 11 11 11 10 12 13 14 16 20 21 21 19 16 11 8 6 6 5 5 4 3 2 1 1 0 0 0
31 27 24 21 21 22 25 31 35 38 38 35 29 26 25 22 21 19 18 16 16 15 12 7 4 4 5 5 4 4 7 10 16 21 29 36 43 52 65 73 75 74 70 65 62 60 58 59 61 65 69 72 78 79 79 76 71 62 58 59 59 60 54 41 23 9 2 0 0 0 0 0 0 0 0 0 0 0 1 3 5 14 37 58 55 35 20 21 22 24 27 29 31 32 32 30 25 20 20 17 14 11 9 8 8 7 6 6 7 7 7 6 6 7 8 9 11 12 10 7 7 7 6 6 6 5 5 3 2 2 2 1 0 0 0
32 29 25 22 22 22 25 29 31 31 32 31 29 29 27 25 26 27 28 29 27 24 20 16 12 9 8 9 8 7 7 8 11 15 20 26 32 39 54 66 77 85 89 86 80 76 75 76 77 75 74 75 76 76 76 74 70 66 66 69 66 65 59 47 35 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 26 45 60 40 26 24 24 26 28 30 30 31 33 33 28 23 19 15 13 10 9 8 9 8 8 8 8 7 7 7 7 7 6 6 6 7 6 6 6 7 7 6 7 6 4 2 2 2 1 1 1 1 1
34 31 28 25 24 24 25 28 30 30 31 33 34 33 32 33 34 36 38 40 42 39 34 30 28 25 22 21 19 18 14 10 9 13 18 21 28 34 41 53 67 79 87 91 91 88 88 89 89 86 82 77 74 74 73 71 70 70 71 74 70 62 56 39 39 31 12 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 33 54 45 34 29 27 27 29 30 31 32 34 35 33 28 23 18 15 13 10 10 9 9 10 10 9 8 8 7 7 6 6 5 6 6 6 6 5 6 6 6 6 5 2 1 2 2 1 1 2 2 2
37 34 32 29 28 27 27 29 32 33 34 37 40 40 40 45 49 50 49 50 51 51 50 46 41 37 36 35 31 28 23 17 14 16 19 23 29 32 32 40 48 58 67 78 87 89 91 92 93 90 85 78 73 71 69 67 67 70 72 74 61 54 45 34 31 22 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 24 42 45 39 34 31 30 30 31 31 34 35 33 33 30 25 20 16 13 13 13 11 11 11 11 11 10 8 8 6 5 6 4 6 7 6 4 3 4 5 5 5 4 1 2 2 2 2 2 2 2 2
41 37 36 33 31 30 31 32 34 35 37 39 42 47 49 55 59 60 61 62 64 66 66 61 56 52 51 49 42 37 31 26 24 23 21 19 23 27 30 32 35 42 51 63 75 83 87 91 92 88 83 76 71 67 64 62 62 63 67 80 54 49 39 30 22 14 9 8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 31 41 39 34 34 36 35 33 31 32 31 31 31 30 26 22 17 16 18 16 15 13 12 11 9 8 8 8 8 7 6 5 6 6 6 5 5 4 4 4 4 4 2 2 2 2 2 2 2 2 2
44 40 40 38 35 34 34 34 35 37 40 45 47 52 57 61 64 67 68 70 72 73 73 72 69 66 65 62 55 48 41 37 34 32 28 22 20 23 26 32 34 36 42 50 60 69 76 83 87 85 80 75 70 65 59 55 56 62 54 79 61 49 42 37 29 22 17 15 15 6 3 1 0 0 0 0 0 0 0 0 0 0 2 9 22 35 38 34 35 38 41 38 37 35 33 32 31 31 29 25 21 20 19 17 16 14 12 10 8 6 7 7 6 6 5 5 5 5 5 4 3 3 3 3 4 4 3 3 2 2 2 2 3 2 2
40 41 42 42 41 39 37 37 38 39 42 52 57 59 63 66 69 71 73 75 77 78 79 77 76 75 75 73 69 63 57 52 47 42 39 32 27 25 24 25 28 31 33 37 43 49 54 62 70 74 73 71 69 64 57 51 53 63 52 70 67 55 50 49 39 26 19 14 15 11 6 3 1 0 0 0 0 0 0 0 0 0 0 5 15 24 30 34 35 38 43 42 43 40 37 35 35 34 32 30 27 23 20 18 16 14 12 10 9 8 8 7 6 7 6 6 5 5 5 5 4 3 2 3 4 4 3 3 3 2 1 2 2 1 1
38 44 48 49 49 46 43 42 43 44 46 53 60 65 69 71 74 77 78 77 78 82 84 84 82 81 81 82 81 78 75 70 61 52 49 49 46 40 34 29 26 24 25 26 27 31 33 39 44 50 54 57 57 54 53 51 53 57 53 61 72 70 61 56 48 32 25 16 12 12 6 4 4 2 1 0 0 0 0 0 0 0 0 3 10 20 29 34 35 36 41 43 44 43 41 39 39 39 37 35 32 27 24 22 19 15 13 12 11 11 11 9 8 6 6 6 6 5 5 5 5 4 3 3 3 4 3 2 2 3 3 2 2 2 1
42 47 54 57 57 55 52 49 48 53 56 58 62 69 74 77 79 83 84 82 81 84 89 90 90 89 88 90 91 90 86 82 74 67 62 60 59 55 51 45 36 30 27 24 21 21 22 24 27 32 38 43 44 45 48 48 52 55 52 51 68 78 68 62 55 39 24 17 14 12 9 6 4 4 3 1 0 0 0 0 0 0 0 1 4 11 20 27 32 34 38 42 44 47 49 47 43 43 41 39 36 32 27 25 23 20 17 16 15 16 14 13 11 8 7 6 5 5 5 4 3 3 2 2 3 3 2 2 3 5 4 3 3 2 2
52 57 61 62 61 60 58 57 57 61 65 67 68 69 75 79 84 90 92 92 91 91 92 94 97 98 99 101 101 99 94 90 85 80 73 67 65 64 64 60 52 44 38 32 27 23 22 21 22 24 26 29 30 34 39 45 50 55 52 45 56 76 74 67 61 49 28 20 18 14 12 10 4 2 2 4 1 0 0 0 0 0 0 0 0 2 15 23 28 33 38 41 44 47 51 54 51 49 45 43 41 38 35 32 29 25 22 21 20 21 20 18 17 16 13 8 6 6 5 5 5 4 3 2 2 3 4 4 5 5 4 4 4 3 3
61 64 65 65 63 61 60 61 64 68 71 75 77 74 76 80 85 90 94 96 96 95 95 97 102 104 107 109 109 106 101 97 94 89 82 77 73 71 70 68 64 57 51 47 41 35 30 27 28 27 23 23 25 27 32 45 52 53 51 47 51 68 78 71 62 54 31 23 22 20 14 7 2 0 0 6 3 2 1 0 0 0 0 0 0 0 9 17 24 31 36 39 43 47 51 55 57 57 53 50 47 44 41 38 34 31 27 26 25 23 22 21 21 21 20 13 11 8 6 6 5 3 3 3 3 3 5 4 5 5 4 4 5 4 4
67 69 67 69 77 76 64 65 69 74 78 79 82 82 82 83 86 88 90 92 91 95 98 100 104 107 110 113 113 112 108 105 104 98 91 85 81 78 76 73 69 64 60 61 56 50 42 37 37 36 30 24 24 26 29 45 57 58 57 58 57 57 69 66 55 46 31 23 23 22 18 11 1 0 0 3 4 4 3 1 0 0 0 0 0 1 6 14 20 27 34 37 42 46 50 54 59 62 62 58 53 50 47 43 39 35 31 29 28 25 22 20 21 22 21 19 15 11 8 6 6 5 5 4 4 3 4 5 4 4 5 6 5 5 5
74 78 80 97 138 145 81 70 75 80 85 85 86 86 87 89 89 86 85 84 83 88 94 98 102 106 109 113 116 120 123 113 114 107 101 96 91 87 83 80 78 70 67 71 66 60 51 44 42 42 36 31 25 30 32 44 58 64 66 69 64 64 70 50 46 44 36 26 20 17 16 15 3 0 0 1 3 5 5 3 3 2 1 0 0 1 4 11 17 23 31 36 38 43 46 51 58 64 66 65 62 57 50 48 45 40 36 33 31 29 27 26 24 23 22 20 17 15 12 10 8 6 6 5 5 3 4 4 4 5 7 7 7 7 6
81 98 120 150 209 226 113 86 83 84 88 90 91 92 94 97 97 88 81 78 75 76 82 88 94 99 105 110 115 123 136 130 128 121 112 104 99 95 90 87 84 77 75 77 72 64 56 50 47 51 45 40 37 40 42 47 56 62 67 76 68 70 69 55 48 45 40 28 16 12 9 5 1 0 0 0 1 3 4 6 8 7 4 1 0 0 1 6 12 19 27 31 33 40 43 48 54 61 66 70 70 67 61 55 51 47 44 41 37 33 31 30 27 25 22 20 19 18 16 13 10 12 10 7 6 5 5 5 5 5 7 7 7 8 8
133 152 156 155 177 188 124 110 98 91 89 90 94 96 99 103 102 98 95 82 76 73 74 78 83 90 95 100 105 111 122 121 121 122 119 111 101 96 92 90 87 82 80 78 72 64 59 56 53 58 55 50 48 49 49 52 56 56 62 75 71 59 50 48 47 45 40 31 18 11 5 1 0 0 0 1 1 1 3 7 12 17 14 6 2 1 1 4 9 15 21 26 27 33 38 43 49 55 62 69 73 73 70 65 62 61 60 52 48 44 34 31 29 26 22 21 21 20 17 15 17 37 30 25 19 11 5 6 7 6 6 6 6 7 8
181 178 153 118 101 103 108 114 110 106 97 91 91 94 97 104 113 109 97 85 76 75 73 73 77 81 84 86 89 94 101 106 111 117 119 115 105 99 95 91 86 82 80 76 69 61 58 58 56 55 54 54 54 56 57 58 58 50 52 53 44 34 31 36 38 37 35 32 22 13 5 1 0 0 1 2 2 2 2 6 13 28 26 16 7 3 2 2 5 11 16 22 25 28 32 38 46 51 57 64 70 77 91 97 94 97 100 90 93 79 45 35 31 27 23 21 21 20 19 18 29 53 61 56 48 40 30 15 13 11 9 10 9 7 7
157 136 111 85 70 72 88 98 100 110 105 96 91 88 90 96 106 102 88 75 64 64 67 68 69 72 75 77 80 84 90 96 101 108 114 114 108 100 94 91 88 85 84 81 71 60 57 57 54 50 50 55 57 60 66 68 59 48 47 41 25 14 13 15 18 22 27 30 25 13 4 1 0 0 1 2 4 5 2 6 14 28 32 27 18 9 4 2 2 5 11 17 21 23 26 33 44 47 52 58 65 74 102 127 134 139 137 132 135 117 87 59 43 36 29 22 20 21 39 57 63 65 69 72 72 65 57 50 40 33 27 31 32 26 19
95 79 61 50 49 56 71 80 84 96 99 96 91 84 80 83 87 84 75 64 54 54 59 61 63 67 69 74 79 84 91 95 99 106 112 115 111 103 97 90 87 89 89 87 79 70 65 59 51 45 44 51 59 62 65 67 57 47 45 25 8 2 3 5 5 9 16 24 23 12 3 0 0 0 0 1 3 7 4 8 16 26 34 33 25 16 9 4 3 3 7 12 16 19 23 28 39 42 48 53 59 64 84 113 130 140 142 142 146 139 127 116 97 75 57 41 27 30 50 61 61 63 69 78 86 85 78 66 59 56 58 64 64 62 60
65 59 51 46 43 43 57 66 71 76 81 84 82 79 77 71 75 68 61 58 53 50 50 53 58 63 63 70 77 84 91 99 107 114 118 119 117 111 102 91 86 88 89 86 79 73 68 60 48 44 37 45 56 58 59 60 46 44 42 21 5 0 0 1 0 1 5 13 13 6 1 0 0 0 0 0 2 5 6 11 18 26 32 38 38 22 15 8 5 3 4 8 13 15 20 24 29 33 41 49 55 59 65 77 96 131 138 140 146 148 146 141 134 121 104 85 67 63 66 66 60 58 64 74 88 99 98 94 83 78 81 87 91 94 94
52 51 47 40 36 34 47 57 62 64 69 72 72 72 71 67 67 66 66 62 57 51 47 45 49 54 56 61 67 74 81 90 99 106 111 111 114 121 107 92 84 80 76 70 63 60 61 58 48 42 39 41 48 51 47 46 39 40 33 15 4 1 1 1 0 0 1 4 3 1 0 0 0 0 0 2 3 5 9 15 20 26 32 35 36 31 21 13 7 4 4 5 8 11 14 18 26 29 34 42 50 55 58 59 70 115 129 135 141 147 154 162 162 148 135 121 105 90 79 72 66 60 61 69 83 102 108 108 104 101 101 101 106 111 110
40 39 37 33 30 30 39 47 51 56 61 64 65 65 64 64 66 66 64 63 60 55 49 41 37 43 48 49 52 58 64 71 78 86 97 94 100 103 99 87 74 63 52 44 41 40 40 42 41 39 38 40 43 45 35 34 36 32 21 8 2 1 2 1 0 0 0 1 0 0 0 0 0 0 1 3 5 8 13 20 28 32 35 35 38 36 27 17 10 6 5 4 5 6 8 11 20 25 29 34 41 49 61 72 84 109 123 129 133 139 152 167 171 170 159 146 133 118 101 88 77 68 67 73 86 101 107 109 108 111 115 110 114 115 111
28 27 29 28 27 27 30 35 41 48 54 56 58 59 59 63 65 67 68 67 64 59 53 42 32 32 37 41 45 49 51 55 59 66 71 77 82 88 84 73 62 49 35 28 28 26 25 25 27 30 31 32 33 34 29 29 27 19 10 4 1 1 1 1 2 1 1 1 0 0 0 0 1 1 1 3 6 11 17 24 33 37 39 37 39 34 32 24 14 8 5 3 3 5 6 8 13 19 23 28 31 37 47 64 82 99 108 116 122 128 139 158 171 175 172 164 155 142 125 111 98 88 84 84 91 99 105 106 109 117 119 115 115 117 121
16 16 17 19 21 20 20 21 29 38 43 46 51 55 58 61 64 65 65 66 64 60 56 47 35 28 28 31 36 42 46 47 47 46 49 54 57 58 57 52 45 33 21 18 21 20 19 15 13 15 17 17 20 22 23 23 21 13 5 2 1 1 1 1 1 1 1 1 1 0 0 1 1 2 4 5 8 13 17 21 30 36 41 34 35 32 30 25 16 10 6 2 3 5 5 6 9 12 16 21 25 31 36 41 49 56 68 83 105 119 129 144 161 172 176 176 171 164 153 140 125 112 107 104 103 107 111 110 112 120 121 119 120 127 136
5 6 6 8 12 11 11 11 17 24 30 35 39 45 51 52 54 55 56 57 56 54 52 49 42 32 26 24 25 30 37 41 42 40 35 33 33 32 33 32 27 16 9 11 13 11 7 4 4 4 5 8 10 13 18 19 19 13 6 2 1 1 1 0 1 1 1 1 1 1 1 2 2 4 7 7 9 11 13 18 25 33 41 34 31 29 25 18 13 8 4 1 1 2 3 4 6 8 11 14 20 26 31 36 39 41 46 52 81 107 113 125 151 170 178 182 183 181 173 162 151 140 133 127 121 118 116 117 122 124 123 121 124 134 143
1 1 2 2 3 3 4 5 6 10 15 20 21 20 16 22 28 33 36 37 38 38 38 40 39 33 27 23 22 24 27 30 27 22 20 19 17 15 15 15 11 6 3 5 6 4 2 3 5 3 1 2 4 8 13 15 15 14 9 5 4 3 2 2 1 1 1 1 1 2 2 3 3 4 6 7 8 10 10 13 18 26 29 25 22 22 19 12 8 4 1 0 0 0 0 1 3 4 7 10 14 18 23 30 36 38 39 42 56 94 107 114 131 153 172 184 189 190 186 178 170 162 157 150 141 131 126 125 125 124 123 122 124 137 152
1 1 1 1 1 1 1 1 1 2 3 5 6 3 4 5 10 12 10 10 15 18 19 23 25 23 18 14 14 17 19 15 9 5 4 5 5 4 4 4 3 3 3 4 4 2 1 3 5 3 1 0 1 4 7 9 11 11 11 9 8 5 3 3 2 1 0 0 0 1 1 2 2 3 4 7 8 10 10 10 13 18 21 21 18 14 8 4 3 1 0 0 0 0 0 0 0 1 3 7 10 12 15 20 28 34 37 38 41 67 88 102 116 134 161 182 193 196 191 185 181 176 173 167 158 149 142 135 130 127 126 126 127 138 156
2 2 2 1 1 1 1 1 1 1 1 0 1 0 0 0 2 3 2 1 2 4 4 8 9 8 5 4 4 4 5 4 2 0 0 0 0 1 1 1 1 2 4 5 3 1 0 0 1 1 1 0 0 1 2 4 6 7 9 9 7 5 3 2 1 1 0 0 1 0 0 1 2 2 4 7 8 9 11 11 10 11 12 13 14 10 4 1 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 15 20 26 29 33 42 58 65 74 105 117 146 172 190 202 210 208 196 188 182 178 172 162 151 144 140 134 134 136 139 144 150
2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 1 2 2 4 6 6 5 3 1 1 0 0 0 0 0 1 1 1 1 2 4 6 8 9 11 11 8 6 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 14 17 22 27 40 55 72 96 100 109 132 157 179 197 213 221 220 212 198 191 186 177 166 158 154 147 145 144 149 155 158
2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 3 2 1 1 1 1 1 0 0 0 0 0 2 4 6 6 7 8 8 7 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 9 13 17 20 28 46 79 101 102 105 119 142 167 187 203 217 241 235 219 207 200 194 185 177 169 158 154 151 154 160 165
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