Vorticity
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nan 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 8 9 8 6 4 4 4 4 5 7 8 9 9 8 7 7 7 7 7 6 5 4 5 6 7 8 10 12 12 10 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
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nan 8 7 7 7 8 9 10 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 10 9 9 8 7 7 7 6 5 4 4 4 5 8 12 18 22 22 21 18 15 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 6 6 6 7 7 nan
nan 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 6 7 8 9 9 9 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 10 10 9 8 8 9 8 7 5 5 4 5 6 8 13 18 22 23 22 21 19 19 18 18 16 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 6 6 6 nan
nan 8 8 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 6 5 5 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 8 7 8 9 9 10 10 10 9 9 9 9 8 7 6 6 6 6 6 8 11 15 20 22 23 24 24 24 23 21 17 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 6 6 nan
nan 8 9 9 9 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 5 6 6 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 7 7 8 8 6 6 6 9 13 16 18 19 22 24 25 24 20 17 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 7 7 nan
nan 8 8 9 10 11 11 10 9 8 8 8 8 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 5 4 4 5 6 7 8 8 8 8 8 9 8 8 8 9 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 8 8 8 8 7 6 7 8 10 10 11 14 17 22 24 22 20 17 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 nan
nan 8 8 8 9 10 11 10 9 9 8 8 8 7 7 6 6 5 6 6 7 7 7 6 6 7 8 8 8 7 6 6 6 7 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 10 10 10 9 9 9 8 8 9 9 9 9 8 8 7 6 7 7 7 8 11 17 21 24 23 20 17 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 6 7 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 11 10 10 9 9 9 10 10 11 10 9 9 8 7 6 6 7 7 7 9 13 17 22 24 24 22 19 16 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 nan
nan 8 8 9 9 9 8 9 10 10 9 9 9 8 7 6 6 5 5 6 7 8 9 9 10 10 10 10 10 10 10 9 8 7 6 6 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 10 10 9 9 8 7 7 7 7 8 8 10 12 16 21 25 26 24 21 18 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 8 8 9 9 9 8 9 10 10 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 9 10 10 9 8 7 7 8 8 8 9 10 12 12 11 9 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 12 11 9 8 7 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 8 8 8 9 11 15 20 24 27 26 23 21 19 17 16 15 14 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 nan
nan 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 10 10 9 7 7 7 7 7 8 9 9 9 10 10 11 12 12 13 13 13 12 11 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 11 11 12 11 11 11 10 10 10 9 8 7 7 7 7 7 7 7 8 10 13 17 22 25 27 26 25 25 26 24 22 18 15 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 nan
nan 8 8 8 8 9 9 9 9 8 8 9 9 10 9 10 11 11 12 12 11 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 9 7 6 5 5 5 5 6 7 8 8 8 9 9 10 10 11 11 12 13 13 12 12 11 9 8 8 9 9 10 9 9 9 9 8 8 8 8 7 6 6 6 7 8 9 10 11 12 11 11 10 10 9 8 8 7 8 7 7 6 6 6 6 6 7 8 11 15 19 23 26 27 28 30 31 30 25 20 16 15 14 13 13 12 12 12 12 11 11 11 10 10 10 nan
nan 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 10 11 11 10 7 5 4 4 4 5 7 8 8 8 8 8 8 8 9 10 10 11 12 12 13 14 13 11 9 8 9 10 10 9 9 9 8 8 8 9 9 8 7 6 6 7 8 9 9 10 10 11 11 11 10 9 7 7 7 8 8 7 6 6 5 5 6 6 7 8 10 12 15 18 19 20 22 25 27 26 22 19 17 15 14 14 13 13 12 12 12 11 11 11 10 10 nan
nan 11 10 10 10 10 10 11 11 11 11 11 10 9 9 10 10 11 11 11 10 10 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 11 12 13 12 10 7 5 4 5 7 8 9 9 8 7 7 8 8 8 8 9 10 10 11 13 14 15 13 12 10 10 10 10 10 10 9 9 8 8 9 10 10 9 8 8 8 8 9 9 9 9 10 11 11 11 10 8 8 8 9 9 8 7 7 6 6 6 6 6 7 8 8 9 10 11 12 13 15 17 19 19 18 17 16 15 14 14 13 13 12 12 12 11 11 11 10 nan
nan 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 12 13 14 14 12 9 7 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 15 14 13 11 10 10 9 10 10 9 9 9 10 11 12 11 10 9 9 9 9 9 8 9 9 10 11 11 12 11 11 10 10 10 9 8 8 8 7 6 5 5 6 7 8 8 8 8 9 10 12 12 13 14 15 15 15 15 15 14 14 13 12 12 12 11 11 11 10 nan
nan 13 13 13 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 9 8 8 8 9 10 11 11 12 14 14 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 10 11 12 14 15 15 15 13 12 10 10 9 9 10 10 10 11 11 12 12 11 10 10 9 9 9 9 8 8 9 10 10 11 12 12 12 12 11 10 9 9 9 8 7 6 5 6 6 7 7 7 8 9 12 14 14 14 15 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 nan
nan 14 14 14 13 12 11 11 11 11 11 12 12 12 11 10 9 9 10 11 12 12 13 13 13 12 12 12 12 11 10 9 8 8 8 9 9 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 12 13 14 14 13 12 11 9 9 9 10 10 11 10 11 11 11 11 10 10 10 9 9 9 8 8 9 9 10 11 11 12 12 11 11 10 9 9 9 8 7 6 5 5 6 7 7 8 10 13 16 18 19 20 20 19 16 14 13 13 13 13 12 12 12 11 11 11 11 nan
nan 14 14 13 12 11 12 12 12 12 12 13 13 12 11 9 8 9 10 11 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 8 8 9 10 10 11 11 12 12 12 10 8 8 7 7 7 6 6 6 6 5 5 6 6 7 8 8 7 7 7 8 9 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 8 7 6 5 5 6 7 8 11 14 17 20 21 23 25 25 22 19 16 13 13 13 13 12 12 12 11 11 11 nan
nan 12 12 12 11 12 13 13 13 13 14 14 13 12 10 9 8 8 9 9 11 12 13 13 13 14 14 12 11 10 11 11 11 10 9 8 8 9 9 9 10 11 13 14 13 12 10 9 8 7 6 6 6 6 5 5 4 5 6 7 7 7 6 6 6 7 7 8 8 9 11 13 13 12 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 9 10 10 11 11 10 10 10 9 9 8 7 5 5 5 7 9 11 13 14 15 16 19 23 26 27 24 20 16 14 13 13 13 12 12 12 11 11 nan
nan 10 10 10 11 12 13 13 13 14 15 15 13 11 10 9 8 7 8 8 9 10 11 11 12 13 13 12 11 11 12 13 12 10 9 8 8 8 9 9 10 12 14 15 14 13 12 12 10 8 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 8 8 7 7 9 10 12 12 12 11 11 11 11 11 10 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 10 11 11 10 10 10 9 9 8 8 6 6 6 7 8 9 10 10 10 10 12 16 20 24 27 25 19 15 14 13 13 13 12 12 11 11 nan
nan 9 8 9 9 10 11 11 12 13 14 13 12 10 10 9 8 7 7 8 8 9 9 10 11 11 12 11 11 12 12 12 11 10 9 8 8 8 9 9 10 11 13 14 14 14 13 13 13 10 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 12 12 12 12 11 10 9 9 8 7 6 6 6 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 9 12 17 23 25 21 17 15 14 13 13 13 12 12 11 nan
nan 8 8 8 8 8 8 9 10 11 12 12 11 10 9 8 7 7 7 8 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 14 14 12 10 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 12 11 11 11 11 11 9 7 6 6 6 5 5 6 7 8 9 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 8 8 8 8 8 8 7 6 5 4 3 3 6 13 18 18 17 15 14 13 13 12 12 11 11 nan
nan 8 7 7 7 7 8 8 8 9 11 11 11 10 8 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 10 11 11 11 11 9 9 9 10 11 11 11 11 12 12 13 12 11 10 9 9 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 12 12 12 12 11 10 9 8 7 6 6 6 6 7 7 8 9 10 10 11 11 11 12 12 12 11 10 10 10 9 8 8 8 8 9 9 8 8 7 5 2 -0 0 3 8 12 13 13 13 12 12 12 11 11 11 nan
nan 9 7 7 7 7 8 8 8 9 10 10 11 10 8 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 11 10 9 9 10 11 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 8 10 11 12 12 12 12 12 12 12 12 12 11 10 9 8 7 7 6 7 7 8 9 10 10 10 11 12 13 12 12 11 10 9 8 7 8 8 9 9 10 10 11 11 9 6 4 3 4 6 8 9 10 10 10 10 10 10 10 nan
nan 9 7 6 7 7 8 8 9 9 9 9 9 9 8 6 6 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 12 11 10 9 7 6 6 7 8 8 8 8 8 7 7 8 7 7 7 8 9 10 11 11 11 12 12 12 13 13 13 14 14 13 12 10 9 7 7 7 8 8 9 9 9 10 11 12 13 13 11 10 8 7 7 8 8 8 8 10 12 14 16 17 17 14 10 7 5 6 6 7 7 8 8 8 8 8 nan
nan 8 7 6 7 7 8 9 9 10 10 9 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 10 10 11 11 12 14 15 15 15 15 14 13 11 10 9 9 9 8 8 7 7 7 7 7 6 7 7 8 8 8 8 8 9 11 12 12 12 13 13 13 13 13 12 12 10 9 8 8 8 8 9 9 9 10 11 12 13 12 10 9 8 8 8 9 9 10 10 12 13 15 18 20 21 17 12 9 7 6 6 6 6 6 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
29 29 27 23 17 13 11 11 12 15 19 22 24 24 20 15 9 6 3 4 4 4 4 4 5 5 5 8 13 20 27 32 32 29 26 24 21 18 15 13 11 9 9 11 13 16 19 24 30 36 40 43 42 37 27 19 15 21 28 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 20 16 8 3 12 31 33 10 3 7 14 17 16 17 16 14 11 8 5 2 1 2 3 4 4 5 5 6 5 5 5 4 3 4 5 6 6 6 6 5 4 2 1 0 0 1 1 2 3 3 4 4 5 5 4 3
30 30 27 21 13 11 11 10 11 14 18 21 25 25 22 17 11 9 5 4 4 4 4 5 5 5 5 6 7 12 22 29 32 31 29 27 23 20 17 15 13 12 9 11 14 16 18 23 28 31 36 40 42 35 25 17 13 22 28 18 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 2 4 15 25 21 8 2 8 15 16 16 17 16 12 9 7 4 1 1 2 3 4 4 4 4 3 3 3 3 2 2 4 5 6 6 6 6 5 3 3 1 1 1 1 2 2 2 3 4 4 5 4 3 2
32 29 24 20 13 10 8 8 10 13 18 22 25 26 23 17 14 12 8 6 5 5 5 5 5 5 6 6 4 5 14 21 27 31 31 29 28 24 22 17 17 16 15 15 16 17 20 21 22 24 32 37 40 35 25 16 14 24 31 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 12 20 19 0 3 9 14 16 17 17 16 13 9 8 5 3 3 3 3 4 4 4 4 3 2 2 2 2 1 2 4 5 6 6 6 5 4 4 2 1 1 2 2 3 3 3 4 4 4 4 3 3
31 26 19 15 12 9 6 7 10 14 18 22 25 27 26 21 17 15 13 10 7 6 5 5 6 5 5 5 5 5 8 12 17 23 28 31 30 29 26 21 19 18 18 19 19 18 21 24 25 24 28 35 38 36 28 19 16 26 32 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 31 7 5 10 15 19 21 19 16 14 11 9 7 6 5 5 5 4 4 4 3 3 3 2 2 2 1 2 3 4 5 6 6 5 5 3 2 2 2 3 3 4 4 3 4 4 4 4 3 3
32 26 18 13 12 10 7 9 12 15 18 22 25 28 28 25 23 21 19 16 12 8 5 5 5 4 4 4 4 4 5 6 8 11 15 19 24 24 23 22 19 18 19 21 21 19 21 25 30 30 29 32 39 39 32 22 19 27 33 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 22 15 9 11 15 21 24 21 17 15 13 11 9 7 6 7 6 5 5 4 4 3 2 2 2 2 2 2 2 3 4 5 5 4 4 3 2 3 3 3 3 3 4 4 4 4 4 4 3 3
33 27 17 14 12 10 7 8 11 14 19 22 25 28 29 28 29 28 26 23 17 11 8 7 6 5 4 4 4 4 5 5 5 6 7 9 12 13 14 13 15 16 17 19 20 20 20 23 28 31 32 35 40 42 36 27 23 31 35 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 19 18 12 11 15 18 22 20 17 15 14 12 11 9 8 8 7 7 6 4 4 3 3 3 2 2 2 2 2 2 2 3 4 4 5 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3
37 32 20 16 13 10 5 4 6 11 17 21 24 28 30 29 28 29 27 25 23 20 16 14 13 12 9 5 6 7 6 6 5 5 5 5 6 7 10 11 12 13 15 16 17 19 18 19 20 20 27 32 36 41 39 32 27 34 39 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 18 17 11 10 14 16 18 16 15 16 14 12 12 12 9 8 7 6 7 6 5 4 3 3 3 3 2 2 2 2 2 3 3 4 5 5 4 3 3 3 2 2 3 4 4 3 3 3 2 2
40 37 26 20 16 12 7 3 3 7 11 19 24 28 30 30 32 31 29 28 26 24 23 22 22 20 15 10 10 11 10 7 6 6 5 5 6 6 7 8 8 9 10 11 13 13 12 14 15 15 20 28 35 40 40 36 31 40 43 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 18 18 9 8 12 15 15 14 13 14 14 13 13 13 11 7 5 4 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 1 2 3
43 40 31 24 20 16 12 8 7 7 8 16 23 25 27 28 29 30 31 31 30 28 27 25 26 25 22 17 14 13 12 9 7 5 6 3 6 6 6 6 7 7 7 8 9 8 8 10 9 11 15 21 28 35 40 38 37 48 44 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 20 12 6 9 14 14 13 12 13 14 14 13 14 12 8 6 6 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 3 3 3 2 2 2 1 2 2 2 1 2 1
46 42 35 28 23 19 16 14 13 12 11 16 21 22 24 26 28 30 32 33 32 31 30 29 28 27 25 23 20 17 13 10 8 7 6 5 5 5 5 6 7 7 7 8 9 8 8 9 8 8 10 15 19 26 38 38 44 51 45 25 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 15 20 16 6 8 13 14 14 14 15 17 17 14 14 12 9 7 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 5 4 4 3 3 2 2 1 1 1 1 1 1 1
47 43 38 30 25 21 18 17 17 17 17 19 22 23 25 27 28 29 32 34 34 33 32 32 31 29 28 27 26 23 18 12 10 10 8 6 5 4 5 5 6 8 6 8 9 8 8 9 9 9 9 10 16 22 31 35 45 52 46 29 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 20 17 10 10 13 15 15 15 16 20 21 19 16 13 10 8 6 5 4 3 3 3 3 3 2 3 3 3 3 3 4 6 6 7 6 6 6 5 4 3 3 2 2 1 1 1 1 1 1
47 43 37 31 26 23 21 20 19 20 21 23 24 25 27 30 32 34 36 36 35 35 34 34 33 32 30 29 29 28 25 21 17 15 12 10 7 5 5 5 5 6 6 7 7 8 9 9 9 9 10 10 14 19 26 33 44 53 48 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 16 14 13 14 16 17 17 19 22 24 21 17 14 10 9 9 7 6 5 5 3 4 3 3 3 3 3 3 3 4 5 6 7 7 7 7 6 5 4 4 3 2 2 2 1 1 1 1
47 43 36 31 27 25 23 23 22 23 25 27 26 27 29 31 33 36 37 39 39 39 37 36 35 34 33 31 31 30 29 27 24 21 18 14 12 9 7 6 6 5 6 6 7 9 10 10 10 10 10 10 13 18 25 30 42 51 47 32 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 14 13 13 14 16 18 18 19 23 24 20 15 13 12 11 11 10 9 6 6 5 5 4 3 3 3 3 3 3 3 4 5 6 7 7 7 7 6 6 4 3 2 2 2 2 2 2 1
49 44 37 33 30 27 25 25 25 26 28 29 29 29 30 30 30 33 37 39 41 42 41 39 37 36 35 33 32 31 30 29 26 23 22 21 17 13 10 9 8 7 6 7 7 8 10 12 13 13 14 12 12 17 24 30 40 48 45 32 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 12 11 11 13 15 17 18 20 22 22 19 16 14 12 11 9 8 8 6 6 5 5 4 4 4 3 3 3 3 4 3 4 5 5 6 6 6 5 6 6 4 3 2 2 2 2 2 2
54 50 45 42 37 31 27 27 28 30 29 29 30 31 30 28 28 31 36 40 41 42 42 41 39 38 37 36 33 32 31 31 29 26 24 23 21 18 14 11 8 9 7 7 7 7 8 11 13 14 14 13 14 17 23 29 37 45 46 36 21 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 9 9 12 14 16 18 20 22 22 21 18 15 13 12 10 11 8 7 6 6 5 5 5 5 4 4 3 4 4 4 4 5 4 5 4 4 4 5 5 4 2 2 2 2 2 2 2
64 63 65 62 52 41 33 30 31 32 31 29 28 29 31 29 27 27 32 39 42 44 45 43 41 40 39 37 33 31 30 30 29 28 25 22 22 23 17 13 6 8 7 7 7 7 7 9 12 14 16 15 17 19 24 28 35 44 48 38 25 11 3 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 10 15 17 18 19 21 22 22 21 17 14 14 12 9 8 8 7 7 7 6 5 5 5 4 4 4 4 4 4 4 3 4 3 2 4 4 4 3 2 2 2 2 2 2 2
84 79 71 58 50 47 45 39 35 33 33 31 30 31 33 31 27 25 30 36 42 50 51 46 42 41 39 36 32 30 28 28 28 28 26 22 19 22 15 17 9 7 6 6 7 7 7 8 9 13 18 18 19 23 29 32 37 47 52 44 34 18 4 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 3 4 7 14 17 19 20 20 21 22 23 20 15 14 12 12 11 10 14 23 19 13 5 6 5 5 5 4 4 4 4 5 3 3 2 3 3 3 2 2 2 2 2 2 2 2 2
97 80 53 29 28 41 51 52 45 37 33 33 33 34 34 33 29 25 27 32 41 49 48 44 42 40 37 32 29 27 25 25 24 24 26 26 22 19 16 18 14 9 7 6 6 6 7 9 9 10 13 18 22 27 33 35 37 44 46 43 32 19 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 1 1 4 5 11 16 19 20 20 20 21 23 23 18 16 14 12 10 10 25 56 59 51 37 13 8 9 7 4 4 4 5 5 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2
55 38 26 19 20 30 45 53 54 45 34 30 32 34 34 34 31 27 23 26 34 40 43 43 42 39 36 31 28 24 22 21 25 25 20 23 24 20 17 17 16 13 10 7 6 5 6 7 8 10 12 15 20 27 33 35 34 34 32 27 22 15 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 0 0 1 2 7 13 19 22 20 19 21 23 24 22 20 17 14 11 14 33 64 80 79 75 67 49 32 19 5 5 4 3 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2
13 11 11 13 18 21 33 44 52 49 40 32 29 30 32 33 32 29 25 22 26 32 37 40 40 38 35 32 28 25 23 22 26 27 22 19 19 19 19 18 18 17 15 12 8 6 7 7 8 10 11 11 16 25 30 29 27 25 31 38 32 21 10 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 1 4 10 17 22 21 19 21 23 24 24 26 26 19 18 27 47 62 75 81 83 82 78 68 48 22 11 8 4 3 2 2 2 2 2 2 2 3 2 1 1 1 2 1 1
6 3 3 8 14 12 21 29 38 41 40 35 30 28 30 32 32 30 29 22 22 28 34 37 38 39 37 32 30 28 25 23 22 23 25 25 23 20 25 25 24 25 25 21 15 12 9 9 7 8 10 12 17 24 28 26 22 18 24 26 16 8 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 5 13 19 21 19 19 22 24 25 33 46 49 49 55 66 69 73 76 80 86 91 88 77 61 47 37 26 12 4 4 3 2 2 2 1 2 2 1 1 1 1 1 1
3 0 0 2 5 4 11 19 26 31 35 35 33 31 28 28 29 30 30 25 23 26 32 36 39 41 41 36 33 30 28 25 23 23 24 26 28 29 33 30 25 25 28 27 28 30 16 12 9 7 8 12 18 23 23 21 20 18 21 20 11 3 0 0 0 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 6 13 18 18 18 20 26 38 53 61 63 61 64 75 82 81 78 77 84 91 92 90 84 77 67 57 48 36 21 15 10 3 6 5 3 4 5 3 1 2 2 1
2 0 0 0 0 3 7 14 21 27 31 34 35 36 34 30 28 27 25 23 23 24 29 37 41 43 44 40 36 33 30 28 27 25 26 25 31 35 33 23 14 12 14 21 28 37 32 26 21 16 11 12 19 23 14 13 15 18 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 3 2 1 2 7 13 16 17 18 25 41 62 71 77 79 78 83 92 95 88 81 83 87 92 95 94 90 84 76 68 58 50 39 33 28 30 28 26 25 19 14 10 15 14 11
0 0 0 0 0 1 3 7 19 27 30 34 35 35 33 32 29 27 26 25 24 23 26 35 41 43 45 44 41 37 34 32 31 27 29 30 33 32 23 13 7 4 3 6 13 18 23 28 30 27 23 22 26 21 10 8 11 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 3 4 4 2 0 0 0 0 0 0 1 2 3 2 0 0 6 12 14 15 20 31 61 81 90 91 90 90 95 102 99 92 88 89 92 96 98 98 94 90 82 73 69 59 54 53 51 47 40 34 29 32 38 40 31 23
0 0 0 0 0 0 0 2 11 19 24 31 34 34 31 28 24 25 27 27 26 23 24 32 38 42 45 48 47 43 39 36 35 33 34 35 31 20 12 7 5 3 1 1 3 4 5 8 15 21 23 22 21 13 7 4 5 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 6 8 6 2 0 0 0 0 0 0 2 4 2 0 0 3 8 11 12 16 20 49 77 94 103 105 102 99 104 106 106 107 100 97 99 102 107 109 107 98 96 91 83 77 77 77 72 56 48 44 55 74 67 41 27
0 0 0 0 0 0 0 0 2 8 16 22 23 23 24 20 15 20 26 28 28 26 24 26 33 41 48 51 49 45 45 44 44 44 41 33 23 14 8 5 3 2 0 0 1 1 2 2 2 5 6 3 5 5 3 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 8 10 15 13 8 4 1 0 0 0 0 0 2 2 1 1 2 5 9 10 14 16 38 70 97 114 121 121 118 114 115 122 136 128 117 113 113 116 120 120 115 114 114 109 103 103 103 98 80 68 66 74 88 81 49 34
0 0 0 0 0 0 0 0 0 2 7 9 7 4 2 6 7 11 17 23 27 26 25 24 31 42 50 54 53 52 52 52 52 51 39 22 13 8 5 2 1 0 0 0 1 0 1 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 2 5 6 7 8 8 16 21 22 18 10 3 0 0 0 0 0 0 1 2 4 5 6 7 8 11 15 37 67 98 122 135 142 139 131 124 124 138 150 149 142 137 127 127 127 124 124 126 126 123 123 122 117 102 88 81 80 83 77 57 46
0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 4 8 13 16 20 25 31 38 43 47 51 54 52 45 36 21 15 10 6 3 2 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 1 2 4 5 6 7 8 8 18 25 29 27 19 8 1 0 0 0 0 0 0 1 4 6 8 7 7 13 22 40 63 90 121 142 156 155 152 145 139 141 149 155 163 167 156 146 135 130 130 133 137 136 137 137 132 122 106 93 88 85 79 68 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 16 18 21 23 24 29 37 25 23 16 10 5 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 1 0 0 1 2 3 4 5 6 7 7 16 28 37 38 29 15 6 2 0 0 0 0 0 1 3 6 8 8 7 23 40 54 73 99 125 148 168 170 172 171 161 150 144 148 165 180 182 178 168 152 139 139 143 144 144 144 143 137 124 111 102 95 88 80 73
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 3 6 7 7 7 8 8 7 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 1 0 0 0 1 3 4 3 4 4 5 6 10 24 38 41 34 23 14 7 3 1 0 0 0 0 2 5 5 7 7 24 49 66 79 95 124 147 167 179 189 192 187 175 157 156 163 172 178 182 184 179 160 152 149 148 146 146 147 144 135 125 115 106 100 94 88
0 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 1 1 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 1 1 0 0 1 3 3 3 2 2 2 3 5 13 26 33 34 27 19 12 8 4 1 0 0 0 1 4 3 5 7 21 50 79 82 90 120 141 162 183 199 207 207 209 189 178 173 172 171 171 175 184 180 169 161 155 151 149 149 146 144 136 125 119 116 115 111
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