Vorticity
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nan 6 5 5 4 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 13 12 8 3 1 1 2 3 4 5 6 6 7 7 7 7 6 5 5 5 6 6 5 5 6 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 7 7 7 7 7 nan
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nan 7 7 7 6 6 6 7 9 11 11 10 9 9 9 9 9 9 9 10 10 10 10 11 12 11 9 9 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 11 11 10 10 9 8 8 8 8 10 11 12 11 11 9 7 6 6 6 6 4 2 2 3 5 7 10 15 20 22 22 20 18 16 15 15 15 14 13 13 13 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 nan
nan 9 8 6 6 5 6 9 12 13 12 11 10 10 10 9 9 9 9 10 10 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 10 11 12 11 11 9 9 8 8 8 6 5 4 4 5 5 6 9 14 18 21 22 21 20 20 20 19 17 15 14 13 13 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 7 8 9 12 15 15 13 11 10 10 10 9 9 9 9 9 10 10 10 10 8 7 6 6 7 7 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 9 8 8 8 7 6 6 7 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 10 9 9 8 8 8 9 10 10 10 9 9 9 9 9 8 7 7 6 5 4 5 7 11 16 19 20 22 23 24 24 22 19 16 15 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 nan
nan 9 8 9 10 10 11 13 15 14 12 11 10 10 9 9 8 9 9 10 9 9 9 8 7 6 5 6 6 7 7 8 8 7 6 5 5 6 6 6 7 7 8 9 10 11 11 11 10 8 6 6 8 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 11 12 12 12 11 9 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 6 5 4 6 10 13 15 18 20 22 25 25 22 19 17 15 14 13 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 8 nan
nan 9 9 10 10 10 10 13 15 14 12 10 10 9 9 8 8 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 12 12 11 10 9 9 10 11 11 10 9 8 8 8 9 9 9 8 8 9 9 10 10 9 10 11 12 13 13 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 8 7 6 6 7 9 10 11 13 15 20 23 24 22 20 17 16 14 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 nan
nan 10 9 9 9 10 13 16 16 14 12 10 10 9 8 7 8 10 10 10 9 8 7 8 8 9 10 11 11 10 8 8 9 10 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 13 13 12 11 10 9 7 7 8 8 8 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 10 9 9 9 9 9 9 8 7 6 7 7 7 8 10 14 19 23 24 23 20 17 16 15 14 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 nan
nan 11 9 9 11 14 16 18 18 16 13 11 10 10 9 9 10 11 11 9 8 7 8 10 11 12 13 13 13 11 10 10 10 11 12 13 12 12 11 11 10 10 10 10 11 10 10 10 10 11 12 13 13 13 12 11 10 10 9 8 7 7 6 7 8 10 10 11 11 11 10 9 9 10 10 10 10 10 11 11 12 12 11 10 10 9 9 9 9 10 10 9 10 10 9 8 6 6 7 7 7 9 12 15 20 23 24 23 21 18 16 15 14 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 8 nan
nan 12 11 12 14 16 17 17 18 17 15 12 11 11 12 11 11 11 11 9 9 10 11 12 13 14 15 14 13 12 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 10 9 9 9 10 11 11 12 12 13 14 15 15 14 12 10 8 8 9 9 9 10 10 11 10 10 9 9 9 10 10 10 9 8 8 9 11 12 12 12 11 9 8 8 10 10 9 9 9 9 8 7 6 7 7 8 9 10 11 15 18 22 24 24 22 19 17 16 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 nan
nan 14 13 13 15 16 14 14 16 17 16 13 12 13 13 12 12 12 12 12 13 14 14 14 15 15 14 14 13 13 12 11 10 10 10 9 9 9 10 10 10 11 12 12 11 9 8 7 8 8 9 9 10 11 13 15 17 17 17 15 14 12 11 10 8 7 8 9 10 9 9 9 9 9 10 10 9 8 7 6 7 9 12 13 14 13 11 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 10 13 17 21 24 25 24 22 20 19 18 17 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 nan
nan 14 13 13 13 12 10 10 13 15 15 13 12 12 12 12 12 12 13 13 14 14 14 15 15 15 15 15 15 14 12 11 11 11 11 10 9 9 9 10 11 11 12 11 9 7 6 7 7 8 8 9 9 10 12 14 15 16 16 16 16 15 13 11 9 7 7 8 9 9 9 9 9 9 9 9 9 8 6 5 6 7 9 12 13 13 12 10 9 9 9 9 9 8 9 9 9 8 6 6 6 6 5 5 6 7 10 14 19 22 25 26 25 26 26 25 22 19 16 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 nan
nan 14 13 12 10 9 7 8 11 13 14 12 10 9 9 9 10 11 11 11 12 12 12 13 13 14 15 17 16 14 12 11 11 11 11 10 9 9 9 10 10 10 10 10 8 7 7 7 8 8 9 9 9 10 11 12 13 14 15 16 16 16 15 13 12 11 9 8 9 9 10 10 10 9 9 9 10 9 8 6 6 6 8 9 10 11 11 12 12 11 10 9 9 8 9 9 8 7 5 5 5 5 4 4 4 4 6 9 12 16 20 23 25 26 28 30 30 26 22 18 16 15 14 13 13 12 12 12 12 12 11 11 11 11 nan
nan 12 12 11 9 7 6 7 9 12 13 11 8 6 6 6 8 8 9 8 8 9 10 10 11 12 14 16 16 14 12 11 11 11 11 10 10 9 10 9 8 8 9 9 9 8 8 9 9 9 9 9 9 10 10 11 11 12 13 15 16 16 15 14 14 12 10 9 9 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 11 12 13 13 11 10 10 9 8 7 6 6 6 6 6 6 5 4 4 5 6 7 9 10 13 15 17 18 20 23 26 26 24 21 19 17 15 14 14 13 13 12 12 12 12 11 11 11 nan
nan 11 11 11 8 7 6 6 7 9 12 11 7 5 4 4 5 6 7 7 7 8 8 9 9 10 12 14 14 13 12 11 11 10 11 10 10 9 9 8 7 8 9 10 10 9 9 9 9 9 9 9 8 9 9 9 9 11 13 14 15 13 12 11 11 10 9 7 8 9 10 10 11 11 11 10 9 10 10 10 10 9 8 8 9 10 10 11 12 13 13 12 11 11 9 7 6 7 8 8 8 7 6 6 6 6 6 7 8 8 8 9 10 10 12 14 16 19 20 20 19 17 16 15 15 14 13 13 12 12 12 11 11 11 nan
nan 10 10 10 9 7 6 5 5 7 10 10 7 6 5 4 4 4 5 5 6 7 8 8 8 8 10 11 12 13 13 12 11 10 10 10 10 9 9 8 7 8 10 11 10 9 9 9 10 9 9 8 8 8 8 9 9 11 12 13 12 9 7 6 5 5 5 5 7 8 9 9 10 11 11 10 9 10 11 11 11 9 8 9 9 10 10 10 10 11 12 12 12 12 11 9 9 9 10 9 9 8 8 8 7 6 6 6 7 8 8 8 8 8 9 11 12 13 15 16 16 16 16 15 15 14 13 13 12 12 11 11 11 11 nan
nan 9 9 10 9 8 7 6 5 6 8 9 8 7 7 6 4 4 3 4 6 7 7 7 7 8 8 10 11 12 12 12 11 11 10 9 9 9 9 9 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 8 5 3 2 2 2 4 6 8 9 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 11 10 10 9 10 10 10 10 10 9 9 9 9 8 7 5 5 6 7 8 8 9 9 10 12 13 13 15 15 15 15 14 15 15 14 13 12 12 11 11 11 11 10 nan
nan 9 10 10 10 9 7 7 6 7 8 8 8 9 8 7 6 4 3 4 5 6 7 7 7 7 8 9 11 11 10 9 11 12 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 7 5 3 3 3 4 5 7 9 10 10 9 8 8 8 9 10 11 10 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 7 5 4 4 6 7 8 8 9 10 13 16 17 18 19 18 17 16 15 14 14 13 13 12 11 11 11 10 10 nan
nan 10 10 10 10 9 8 8 8 9 8 8 8 9 9 8 6 5 4 5 5 6 7 7 6 6 7 9 10 9 7 8 12 13 12 9 8 7 8 9 9 8 8 7 8 10 10 9 9 8 8 8 8 8 8 8 7 7 6 5 4 4 5 6 8 9 10 11 11 11 11 10 11 11 11 11 10 8 7 8 10 12 12 11 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 7 5 4 4 6 7 7 7 9 13 16 18 19 21 22 22 20 18 16 15 14 13 13 12 12 11 10 10 nan
nan 11 11 10 9 9 9 9 10 11 10 9 8 9 8 8 7 6 5 4 4 6 8 7 6 6 7 9 9 8 6 8 11 13 12 10 7 7 8 10 9 8 7 7 9 11 11 10 9 8 7 6 6 7 7 7 7 6 5 4 4 6 7 9 9 9 9 9 10 10 11 11 12 12 11 10 9 9 8 10 11 12 11 9 9 9 9 8 8 9 10 12 13 13 13 12 11 10 10 10 10 10 10 9 9 9 8 7 6 5 5 7 8 8 9 11 13 14 16 18 22 25 25 22 19 16 15 15 14 13 12 12 11 10 nan
nan 10 10 9 8 9 9 10 11 13 12 10 9 8 8 8 7 7 5 4 5 7 8 8 7 8 8 9 9 8 7 7 9 11 11 10 8 8 10 11 10 8 7 8 11 12 12 10 9 8 8 7 7 7 8 8 7 6 6 6 6 8 10 10 9 8 8 8 9 10 10 10 11 11 10 9 9 10 11 12 11 9 7 6 6 6 7 8 8 9 9 11 13 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 8 6 6 8 9 9 8 8 8 10 12 13 17 20 24 24 21 18 17 16 15 14 13 12 11 11 nan
nan 10 9 8 7 8 9 10 11 13 14 12 10 8 8 8 7 6 5 4 5 6 8 8 9 9 9 9 10 9 7 6 7 9 10 10 9 10 11 10 9 8 8 9 11 11 10 10 10 11 11 10 9 9 9 8 8 7 7 7 8 10 11 9 8 8 8 8 9 10 10 10 10 10 9 7 8 10 13 12 11 9 7 6 6 5 5 6 7 7 7 9 10 12 13 13 14 13 12 11 10 10 10 9 9 9 10 9 9 8 8 9 10 10 8 6 6 7 8 8 9 12 18 20 20 18 17 16 15 14 13 12 11 11 nan
nan 10 9 8 7 7 8 9 11 13 14 13 11 9 7 7 7 6 5 5 6 7 7 8 9 10 10 10 11 10 7 5 6 8 9 10 11 12 10 9 8 9 9 9 10 10 9 9 11 13 13 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 8 9 10 10 10 10 11 10 9 7 8 11 12 12 11 11 10 10 8 7 7 7 6 6 6 7 8 10 11 12 13 13 13 12 12 12 11 10 10 10 10 10 10 10 9 9 10 11 10 8 7 7 6 4 3 3 7 12 14 15 15 14 13 13 12 11 11 10 nan
nan 10 9 8 7 7 8 9 10 12 13 13 11 10 7 6 6 5 6 7 9 9 7 7 9 10 10 10 9 8 7 7 8 9 8 9 12 12 10 8 9 10 9 9 9 9 9 9 10 10 10 9 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 9 10 10 10 10 10 10 10 9 10 11 12 12 12 12 13 13 12 12 11 10 9 8 7 6 7 8 10 11 11 12 13 12 12 12 13 12 11 10 9 9 10 10 10 9 9 10 10 10 9 7 6 4 2 0 1 4 7 9 10 10 10 10 10 10 9 9 nan
nan 9 9 8 8 8 8 8 9 10 12 12 12 11 8 5 4 5 6 9 12 11 7 7 8 9 9 8 7 7 7 9 10 9 7 9 12 12 10 9 10 10 10 9 9 9 9 9 8 8 9 9 8 8 8 7 6 5 5 4 4 4 5 7 8 8 8 9 9 9 9 9 10 10 9 9 10 12 12 12 12 12 12 13 13 13 13 13 12 11 10 7 6 7 8 9 9 11 12 12 12 13 14 14 12 11 10 9 9 9 8 8 7 7 8 8 7 8 9 10 9 7 5 4 4 5 6 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 10 10 11 12 12 9 6 4 4 6 10 12 10 8 7 7 7 7 8 8 8 10 12 12 10 8 9 11 11 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 11 11 11 10 10 9 8 6 5 6 7 7 7 8 8 8 7 7 8 9 9 8 8 10 12 12 11 10 10 10 11 11 12 12 13 14 14 12 10 8 6 7 7 8 10 11 12 12 12 13 14 13 13 11 10 8 7 6 7 8 7 7 6 7 8 11 15 17 17 14 10 7 6 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 8 8 9 10 11 12 12 9 6 4 3 6 9 10 9 8 7 7 6 7 9 10 11 12 13 13 10 8 9 10 10 10 10 9 9 9 9 9 9 9 8 9 10 10 10 10 11 13 13 13 14 14 13 11 10 9 9 8 7 7 7 6 6 6 7 8 8 8 9 10 11 11 10 9 9 9 9 9 10 11 12 13 13 13 12 11 10 9 9 9 10 10 11 10 10 11 13 14 14 13 11 8 6 6 8 10 10 10 10 10 10 11 14 17 19 18 15 12 10 9 8 7 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
16 14 15 15 16 11 10 10 5 3 5 10 16 23 26 25 23 19 12 9 7 5 4 5 5 4 4 3 3 6 8 15 26 30 31 33 36 34 29 23 20 16 15 15 14 15 18 22 27 32 35 40 43 47 49 48 46 41 42 50 49 30 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 21 36 49 53 52 53 46 31 13 2 0 2 3 8 16 21 22 23 23 20 13 11 9 8 8 10 13 15 17 20 19 15 13 13 9 8 9 9 8 8 9 8 6 6 7 6 6 5 5 5 3 1 2 3 3
21 22 22 18 16 12 11 8 4 1 2 7 16 24 27 27 24 19 14 11 10 8 6 6 5 6 6 5 4 4 4 8 17 22 24 30 34 32 27 25 25 22 21 21 20 19 20 22 26 29 31 36 41 46 50 50 47 43 46 54 51 30 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 33 47 50 46 40 29 11 2 0 1 4 10 17 20 20 23 23 21 14 10 8 6 6 6 7 8 8 10 10 10 8 8 7 6 6 7 6 7 6 7 7 7 7 6 6 5 4 3 2 1 1 3 4
25 27 27 22 18 14 12 8 3 0 2 7 15 24 28 29 23 19 16 14 11 11 11 10 8 10 13 10 7 6 5 5 9 14 19 25 28 30 32 30 31 27 27 27 26 25 25 25 24 23 27 32 36 42 47 50 48 47 52 60 50 25 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 28 34 34 33 26 10 2 0 1 4 8 16 22 21 24 24 21 16 11 7 6 5 4 5 6 6 7 7 7 7 6 5 5 5 6 7 6 7 8 8 8 7 5 4 3 3 3 1 1 1 2 3
31 30 28 24 19 16 13 8 4 1 3 8 14 22 27 30 27 25 22 19 16 16 17 18 17 19 22 16 13 11 9 7 6 7 11 15 16 22 29 31 32 29 28 30 31 31 31 31 28 24 25 26 29 35 42 48 49 51 58 63 50 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 25 25 27 21 9 2 0 1 3 7 15 23 23 23 23 21 17 12 8 5 4 5 6 6 6 6 6 6 5 5 5 4 4 6 7 6 7 8 7 6 5 4 3 3 3 3 2 2 2 2 3
36 35 33 27 20 17 13 10 8 6 6 12 16 21 25 27 26 25 25 24 24 24 26 27 27 27 26 22 20 18 14 12 9 6 5 7 10 13 18 20 24 26 26 28 31 31 32 34 36 32 29 27 27 29 33 42 47 51 60 63 49 24 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 18 19 19 21 16 7 1 0 1 3 8 17 25 25 22 21 21 18 14 11 9 8 7 6 7 7 7 7 6 6 6 5 5 4 4 5 6 6 6 6 5 5 4 4 3 3 3 3 3 2 2 2
40 40 38 31 21 18 15 13 12 11 11 14 17 20 23 25 27 27 29 29 30 32 34 36 37 36 33 29 25 23 22 20 17 13 9 6 4 7 8 9 14 17 19 21 24 27 30 32 33 31 31 27 26 25 27 35 44 48 59 64 47 23 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 19 18 16 13 6 0 0 0 2 6 15 25 29 24 21 21 19 17 13 12 10 7 7 8 8 8 7 7 6 6 5 5 4 3 3 3 4 5 5 5 4 3 4 3 3 3 3 3 3 3 3
43 44 42 36 25 20 17 15 13 12 12 13 15 18 21 23 25 28 31 31 32 33 35 38 41 41 41 39 33 28 27 27 25 22 18 12 6 5 5 6 8 11 13 14 17 22 25 27 26 23 29 29 26 24 25 32 42 50 60 70 46 22 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 20 18 14 11 5 1 0 0 3 7 12 25 31 28 25 23 21 19 15 11 10 8 8 8 9 9 9 7 6 6 5 5 5 4 3 3 3 4 5 5 3 2 2 3 3 3 3 3 3 4 4
47 48 46 42 32 25 21 17 15 14 13 13 14 15 18 21 29 32 33 35 35 35 37 38 40 41 43 46 44 38 34 32 30 29 27 23 16 13 11 9 8 9 10 10 12 14 17 18 21 20 26 27 25 23 24 28 37 48 55 67 45 22 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 21 20 14 10 4 1 0 0 3 8 12 20 27 30 28 25 21 21 16 12 10 10 9 9 9 10 10 8 6 6 6 6 5 4 3 3 3 4 5 5 3 3 3 3 3 3 3 3 3 4 4
49 50 49 47 41 33 27 22 19 17 15 14 16 15 18 20 25 31 37 41 41 42 42 44 43 45 46 49 51 48 43 38 36 34 32 31 30 26 20 16 14 12 11 10 11 10 12 13 13 13 17 19 20 21 22 23 31 41 51 60 45 23 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 16 17 15 11 5 1 0 0 3 9 12 15 22 28 28 26 23 23 19 14 13 12 12 12 11 11 11 11 8 7 7 6 5 5 4 4 3 3 5 4 3 3 3 3 3 2 3 3 3 4 4
47 48 50 50 47 41 33 27 24 21 19 17 18 18 19 20 21 25 32 39 40 44 41 50 50 53 54 54 54 54 53 51 43 40 39 37 35 33 30 27 25 21 17 15 17 13 14 14 13 12 13 13 14 16 19 19 28 36 50 59 50 32 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 18 19 15 9 3 0 0 3 8 11 13 19 26 27 27 25 25 24 22 19 15 14 14 13 13 11 11 12 12 10 7 6 6 6 5 4 5 5 5 4 4 4 4 3 3 2 2 2 4 5
44 46 50 53 51 47 39 32 28 25 23 20 19 20 22 26 26 26 33 38 40 45 47 50 54 57 58 57 57 57 58 60 53 49 46 46 44 42 40 37 32 28 24 23 25 20 19 17 15 14 14 14 15 16 19 21 28 31 38 54 55 34 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 17 19 12 5 2 1 3 7 11 13 17 25 27 27 25 27 29 30 28 22 17 14 14 14 12 12 11 11 10 9 7 7 6 6 5 5 5 6 5 5 5 5 5 4 3 3 2 3 4
44 47 52 55 53 50 45 37 32 28 26 24 23 23 26 31 34 35 36 38 39 43 46 50 56 59 60 59 59 60 61 64 64 61 56 53 52 51 50 48 44 39 34 31 29 28 27 23 19 17 16 16 16 17 22 26 33 32 30 43 52 38 15 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 19 21 14 8 3 2 4 8 12 13 16 22 26 27 26 27 31 33 33 28 20 14 14 13 12 12 11 11 11 10 8 8 7 7 6 6 6 7 7 6 6 6 6 5 5 4 3 4 4
52 54 56 56 53 50 46 41 36 32 29 27 26 26 30 34 36 37 37 38 40 45 49 55 59 62 61 61 62 63 64 64 68 69 67 64 59 56 56 54 53 51 46 40 34 33 36 33 28 26 23 19 18 18 21 27 38 40 34 38 49 47 27 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 17 19 16 9 4 3 4 8 11 13 15 19 25 27 28 30 33 35 37 32 24 17 15 14 14 12 11 10 10 10 8 8 7 7 7 7 6 7 7 8 8 6 6 6 5 5 5 5 5
61 59 57 57 59 55 44 41 38 35 32 31 30 29 32 35 36 36 37 37 38 44 50 56 61 63 64 65 66 67 68 66 70 71 71 70 68 65 62 60 57 55 52 49 45 40 41 40 34 31 27 24 25 27 25 32 43 50 49 46 48 55 46 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 15 18 12 5 4 4 7 10 13 15 18 23 27 30 34 38 42 41 34 27 20 17 16 15 12 10 10 10 10 9 8 7 7 7 7 6 6 7 9 8 7 7 7 6 6 5 5 5
71 70 76 81 100 102 52 42 39 37 36 37 39 38 37 37 37 37 39 39 38 39 42 51 57 61 64 67 70 71 75 72 76 78 76 73 72 72 70 67 62 61 58 54 53 49 47 45 43 42 39 31 36 39 39 43 49 57 62 57 53 64 60 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 17 17 9 5 5 7 10 13 17 20 23 27 31 37 43 48 43 36 29 24 20 17 16 13 11 10 11 11 10 9 8 8 8 7 7 6 7 8 9 9 9 8 7 6 6 6 6
112 108 119 132 170 179 81 55 44 40 41 45 47 46 41 36 35 37 38 43 41 39 40 45 50 55 61 66 70 73 78 78 78 80 82 82 79 73 71 69 65 64 60 56 54 52 50 46 43 42 42 36 40 44 49 52 57 63 69 70 68 66 61 34 13 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 15 18 13 6 6 8 10 13 17 21 24 28 33 38 43 45 44 39 33 28 24 21 18 16 12 11 12 12 11 9 9 9 8 8 7 7 7 7 8 8 9 8 7 7 7 7 6
195 153 132 134 158 164 96 72 56 45 43 46 52 54 46 35 31 31 36 41 43 41 41 41 43 48 57 63 68 73 78 79 78 78 77 77 76 73 70 66 63 60 59 56 53 51 49 47 45 44 44 38 39 46 52 57 63 67 68 63 65 61 55 40 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 4 8 12 15 17 14 9 8 11 12 13 16 21 25 29 35 39 43 45 46 42 38 36 35 32 22 16 14 11 12 13 12 10 10 10 18 16 14 10 8 7 7 7 8 9 8 8 8 7 6
163 125 104 89 81 84 77 77 68 54 47 46 48 53 54 46 39 33 31 38 44 44 39 37 40 45 55 62 68 76 81 79 78 77 76 73 72 73 70 66 62 60 58 56 54 53 51 50 48 48 47 43 41 47 49 52 62 66 64 56 52 48 40 26 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 8 4 3 5 8 12 15 17 15 15 15 15 15 16 19 23 26 30 35 39 44 48 49 49 54 63 73 70 54 30 20 14 11 12 15 24 34 43 43 38 31 19 13 14 8 7 8 9 10 10 9 8 7
73 69 64 55 47 47 55 63 71 68 60 53 49 49 51 52 48 41 36 37 43 45 40 38 42 46 53 60 67 76 86 85 79 76 76 74 70 66 65 65 63 62 59 55 53 53 52 49 48 49 48 46 46 47 46 50 59 58 56 52 47 37 25 19 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 20 21 14 8 8 9 12 15 18 19 21 22 21 19 20 25 26 26 29 33 38 43 47 58 74 89 101 109 103 92 80 55 29 20 22 19 47 53 49 45 47 49 43 36 36 19 8 9 12 12 13 15 14 9
40 35 29 25 27 32 42 46 55 68 70 62 54 49 48 47 48 48 42 38 43 47 46 43 41 43 45 51 59 70 85 90 83 77 75 73 71 66 63 63 65 67 63 58 55 54 53 51 48 49 47 48 52 53 53 58 56 49 49 48 42 31 20 16 12 6 1 0 0 0 0 0 0 0 0 0 0 0 1 3 17 32 38 35 25 13 12 14 17 19 22 26 27 26 25 22 23 26 28 28 30 34 41 58 91 118 122 131 140 133 118 101 80 58 49 51 47 64 65 60 55 57 66 72 67 64 54 46 31 30 29 31 38 34 21
29 27 25 24 23 23 34 36 40 54 63 65 62 57 49 46 46 54 47 42 44 47 47 44 39 39 39 45 55 64 81 92 94 92 83 72 71 71 70 67 67 67 65 62 59 57 56 55 52 50 49 50 52 51 49 50 47 45 46 43 37 28 20 15 11 5 1 0 0 0 0 0 0 0 0 0 0 1 4 8 21 39 56 59 41 26 20 19 19 21 24 28 32 32 29 26 26 28 30 30 30 33 38 50 83 126 138 154 166 163 151 133 113 90 79 73 74 75 79 79 73 70 76 83 86 84 77 72 66 60 55 55 56 54 46
30 30 27 22 18 15 25 30 35 43 51 60 65 59 50 47 44 47 46 45 45 46 46 45 41 37 34 39 48 56 69 82 92 95 86 74 69 70 74 70 65 60 58 58 56 55 56 58 59 59 57 54 52 50 45 41 41 43 43 35 24 18 14 10 10 1 0 0 0 0 0 0 0 0 0 0 0 3 8 14 24 41 62 78 63 46 32 24 23 24 26 29 33 36 36 32 30 31 33 34 34 35 39 52 93 121 140 160 177 188 184 166 145 117 102 90 82 82 88 90 88 89 88 93 93 96 92 85 79 75 73 70 68 65 61
27 27 25 20 16 12 14 18 29 38 44 50 55 54 52 49 45 44 46 47 46 45 45 46 45 37 31 34 39 45 55 69 82 89 82 76 71 74 69 63 57 51 46 43 41 41 44 47 49 52 54 56 55 51 42 39 40 41 40 32 18 8 4 1 1 0 0 0 0 0 0 0 0 0 0 0 1 5 11 18 27 43 65 84 82 66 46 33 27 27 30 32 35 38 41 39 36 35 35 36 37 36 35 38 59 93 125 151 176 191 190 187 176 155 135 116 102 99 103 101 97 101 103 106 105 104 100 94 90 89 92 88 83 78 76
16 16 16 16 15 10 4 6 17 29 35 38 43 45 47 48 45 43 44 46 46 45 43 42 44 38 31 30 31 35 43 52 56 52 59 68 71 69 62 54 49 42 32 27 25 24 24 26 30 35 42 49 53 46 39 38 37 37 36 31 22 12 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 14 20 28 41 62 82 86 81 65 48 35 30 30 33 38 39 44 44 42 39 37 38 39 39 37 38 59 89 111 133 164 187 194 196 191 182 166 145 126 115 113 114 116 125 119 118 117 113 107 101 98 98 107 107 105 96 87
6 6 8 11 11 7 1 1 4 11 20 25 31 35 40 43 44 43 42 43 44 43 41 40 39 37 33 29 23 23 29 36 36 38 51 63 67 64 56 47 38 26 15 14 14 11 8 8 13 20 28 36 39 33 33 33 33 33 31 28 24 17 7 2 0 0 0 0 0 0 0 0 0 0 1 5 8 11 15 19 25 37 56 77 85 96 90 69 49 36 32 33 34 38 41 44 45 45 43 42 41 42 42 40 48 73 97 111 140 168 190 198 207 201 190 176 157 139 126 122 123 129 130 128 126 122 117 109 108 110 120 130 123 103 92
2 4 5 4 3 2 0 0 0 1 5 10 14 18 23 25 29 31 30 32 34 35 35 36 36 35 33 29 20 15 20 29 38 52 60 61 59 55 45 34 24 10 3 3 3 2 2 2 4 9 13 15 16 18 21 24 27 27 26 24 22 17 10 4 1 0 0 0 0 0 0 0 1 0 2 8 12 13 13 16 20 32 49 67 80 96 102 89 67 47 37 32 30 32 36 40 43 46 46 45 42 42 43 43 41 51 73 87 114 140 172 195 208 211 212 207 193 180 156 139 133 130 131 133 132 131 131 125 122 124 136 148 139 117 113
1 2 1 0 0 0 0 1 0 0 1 2 3 3 1 4 7 8 11 15 18 20 21 21 27 27 26 24 19 15 19 25 33 44 45 43 41 35 25 16 9 2 0 0 0 0 0 0 1 2 3 3 4 6 8 12 15 18 19 17 13 8 7 5 2 1 1 0 1 1 0 1 2 3 6 10 13 14 15 14 17 31 43 56 70 84 97 100 85 64 49 39 33 30 30 33 38 42 45 45 43 43 45 46 43 39 43 66 98 115 143 177 205 224 234 229 221 219 203 178 158 144 137 137 136 137 146 148 145 143 152 161 159 152 149
1 1 1 1 0 0 1 1 1 1 1 2 1 1 1 0 0 1 1 2 4 6 6 4 10 10 11 11 10 11 15 14 11 12 10 15 18 12 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 5 8 10 9 7 4 4 3 3 3 2 2 2 1 1 2 3 5 8 11 13 14 16 16 17 25 37 48 57 68 89 104 94 78 62 49 40 34 31 30 32 36 41 43 43 44 46 45 47 52 58 73 91 107 132 162 194 224 246 248 242 241 229 209 187 166 152 152 148 149 153 156 161 165 169 173 173 168 161
0 0 0 0 0 0 1 1 1 1 2 2 2 1 0 0 1 1 1 0 1 1 1 1 1 0 1 2 2 2 2 1 0 1 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 1 1 2 3 3 3 3 2 3 3 4 7 10 11 12 13 16 17 18 23 33 42 45 51 74 92 88 76 64 55 48 41 34 31 29 32 37 41 42 43 44 47 56 85 91 91 91 98 116 146 184 220 251 260 261 263 261 250 230 209 193 182 169 164 161 161 166 172 178 183 183 179 176
0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 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 1 2 3 2 2 3 3 4 4 6 9 11 11 12 15 18 20 22 29 38 37 42 58 68 65 58 54 52 48 43 37 32 31 32 34 37 39 40 41 44 53 96 102 99 96 95 100 121 167 210 243 267 284 295 294 280 265 248 238 215 193 180 172 170 172 176 183 187 189 190 190
0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 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 0 0 0 0 1 1 1 2 2 3 3 3 6 7 9 10 12 14 15 16 19 25 28 32 38 40 39 39 41 42 42 41 39 35 32 32 31 33 36 38 37 38 43 73 89 98 103 99 99 114 149 189 231 270 301 318 315 297 285 272 265 247 224 205 192 182 177 179 184 188 192 197 202
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