Vorticity
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nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 6 8 10 10 8 5 4 4 4 4 5 6 7 7 7 8 8 8 8 8 8 7 9 10 11 8 5 4 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 4 nan
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nan 7 6 6 7 7 8 9 10 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 9 8 8 7 7 6 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 7 7 6 5 4 4 4 4 5 7 12 18 22 23 22 20 18 15 15 15 14 14 13 13 12 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 6 6 7 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 8 8 8 7 6 5 5 5 5 6 8 12 18 22 24 24 22 21 20 19 18 17 14 13 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 6 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 9 9 10 10 10 10 9 9 9 8 8 7 7 7 6 6 7 11 16 21 23 24 24 25 25 24 22 18 15 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 7 7 7 7 8 nan
nan 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 5 5 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 9 8 9 9 9 10 11 10 10 9 9 9 9 8 8 8 9 8 7 6 7 10 14 17 18 20 22 25 27 26 21 17 15 13 12 11 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 8 7 8 8 8 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 9 9 9 8 7 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 10 11 10 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 8 7 7 9 10 11 12 15 19 23 26 24 21 17 15 13 12 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 9 8 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 6 6 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 9 9 10 10 9 9 10 10 12 12 12 11 10 10 9 9 9 9 10 10 10 10 9 7 6 6 7 7 8 9 13 18 23 25 25 21 18 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 nan
nan 9 8 8 8 9 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 7 7 7 7 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 6 6 6 7 7 8 8 8 9 8 8 9 9 9 9 9 9 10 11 13 13 13 12 11 10 9 9 10 11 11 10 9 9 8 7 6 6 7 7 8 10 13 18 23 26 26 23 19 15 13 13 12 11 11 11 11 11 10 10 10 11 10 10 10 9 9 9 8 8 8 8 7 7 nan
nan 10 9 10 11 12 13 12 12 12 11 11 11 10 9 9 8 7 6 6 5 6 6 7 7 6 7 8 9 10 10 9 8 7 6 6 7 8 9 9 10 10 9 9 9 10 10 9 10 10 10 10 10 11 11 11 12 12 11 10 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 8 9 9 10 11 12 13 13 12 10 9 9 10 11 11 10 9 9 8 7 6 6 6 7 8 8 9 12 17 23 27 28 26 21 17 15 13 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 7 nan
nan 10 10 11 12 13 13 12 13 13 12 11 11 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 9 8 7 6 7 8 9 10 10 11 10 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 13 12 11 9 8 7 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 11 10 10 10 11 10 9 9 9 8 7 7 6 6 7 7 7 7 8 11 16 22 27 29 28 24 21 18 17 16 14 13 12 12 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 nan
nan 9 10 11 12 12 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 10 10 10 10 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 11 12 13 14 14 14 14 12 10 8 7 7 8 9 10 9 9 9 9 9 9 8 8 7 6 6 7 7 9 10 11 11 11 11 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 8 9 13 19 25 28 29 28 26 25 25 24 21 18 14 13 12 11 11 11 11 11 11 10 10 9 9 9 8 8 nan
nan 9 10 10 11 10 10 11 12 11 10 9 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 10 10 11 10 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 9 10 11 12 13 14 14 14 14 13 12 10 9 9 10 10 10 9 9 9 8 8 8 8 8 7 6 6 6 8 9 11 12 12 12 11 11 10 9 8 8 7 7 8 7 6 6 6 6 6 6 6 8 11 16 21 25 28 28 28 31 32 31 26 20 16 14 13 12 12 12 11 11 11 10 10 9 9 9 8 nan
nan 11 11 11 11 11 11 12 11 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 10 9 9 9 10 11 11 10 10 10 10 10 11 11 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 12 13 13 14 15 15 13 11 10 10 11 10 10 9 9 8 8 8 9 9 9 8 7 6 7 9 10 11 12 12 12 12 11 10 9 7 7 7 8 8 7 6 6 6 6 5 5 6 7 9 12 16 19 21 22 24 28 30 28 23 19 17 15 14 13 12 12 12 11 11 10 10 9 9 9 nan
nan 14 13 12 12 12 13 12 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 12 12 12 11 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 14 15 14 13 11 11 11 11 10 10 9 8 8 8 10 10 10 9 8 7 7 8 9 9 10 11 12 12 12 12 11 9 8 8 8 9 8 8 7 7 7 6 5 5 6 7 8 9 11 12 13 15 17 21 22 21 19 18 16 15 14 13 12 12 12 11 11 11 10 10 9 nan
nan 17 16 15 14 14 13 12 11 11 12 13 14 14 13 13 13 12 11 11 11 11 12 12 13 13 11 10 9 9 10 10 10 10 10 11 11 12 12 13 13 12 10 8 8 7 8 8 8 8 7 8 8 8 9 9 8 8 8 8 7 8 10 12 13 14 14 13 12 11 11 10 10 10 10 9 9 10 11 11 11 9 9 8 8 8 8 8 9 10 11 11 12 12 11 10 10 9 9 9 9 8 9 8 7 6 5 6 7 7 7 8 9 10 12 13 15 16 17 17 16 16 15 15 14 13 12 12 12 11 11 11 10 10 nan
nan 17 17 16 16 15 13 12 11 11 14 16 16 16 14 13 12 11 10 10 11 12 12 13 13 13 12 12 12 12 11 11 9 9 9 10 11 11 12 12 13 13 11 10 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 10 12 14 14 14 13 11 10 10 10 10 11 11 11 11 12 12 11 10 10 9 9 8 8 8 8 9 10 10 11 12 12 11 11 10 10 9 9 9 9 8 6 5 6 6 7 7 7 8 10 13 15 15 15 16 16 15 14 14 14 14 13 13 12 12 11 11 11 11 10 nan
nan 14 15 15 15 14 12 11 11 11 14 16 17 17 15 13 11 10 9 10 11 12 13 14 13 13 13 13 13 13 12 10 9 9 9 9 10 10 11 11 12 12 12 11 9 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 9 11 13 14 13 12 11 10 9 10 10 11 11 10 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 11 11 12 11 11 11 9 9 9 9 8 7 6 5 5 6 6 7 8 10 13 17 19 20 20 21 19 16 14 14 14 14 13 12 12 11 11 11 11 10 nan
nan 11 11 12 11 11 11 11 10 11 12 14 16 16 15 13 11 10 9 9 10 11 13 14 13 12 13 13 14 13 11 10 10 10 10 10 9 9 9 10 11 12 12 12 11 9 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 9 10 11 11 12 12 11 10 9 10 10 10 10 9 9 9 9 10 9 9 9 8 8 9 9 9 10 10 11 12 12 11 11 11 10 9 9 9 9 8 7 6 5 5 6 7 8 10 13 17 19 21 23 25 25 22 19 16 14 13 13 13 12 11 11 11 11 10 nan
nan 9 10 10 9 10 11 11 11 10 11 12 13 14 13 11 10 10 8 7 8 9 12 12 11 11 12 13 13 12 11 11 12 13 12 11 9 8 9 10 12 13 14 14 13 10 8 8 7 7 6 6 6 6 6 5 5 5 6 5 5 5 5 5 6 7 8 8 8 8 10 11 12 11 10 10 10 10 10 9 8 7 8 8 8 8 9 9 9 9 9 10 11 11 12 12 11 11 10 11 10 10 9 9 9 9 9 8 6 5 5 6 8 10 12 13 14 16 19 23 26 27 25 21 16 14 13 13 12 12 12 11 11 11 nan
nan 8 9 9 8 9 10 11 11 11 11 11 11 11 10 9 9 8 7 6 6 8 10 11 10 11 11 12 12 12 11 11 12 13 13 11 9 9 10 12 12 13 14 14 14 12 11 10 9 7 7 7 7 7 7 6 5 5 5 5 5 6 7 7 7 8 8 7 6 7 8 10 11 11 11 11 11 12 11 10 8 7 7 7 7 7 8 9 9 9 9 10 10 11 11 12 11 10 10 10 10 10 9 9 9 9 9 9 8 7 6 7 8 8 9 9 9 10 13 16 21 25 27 25 19 15 14 13 13 12 12 12 11 11 nan
nan 8 8 8 8 9 9 10 10 11 12 11 10 9 9 9 8 7 6 6 7 8 9 9 10 10 11 11 12 12 10 9 9 11 12 11 10 10 11 11 12 12 12 13 14 13 13 13 12 10 8 8 9 9 8 7 7 7 7 6 7 7 8 8 7 7 7 7 7 7 8 10 10 11 11 12 13 13 12 11 10 9 8 7 6 6 6 7 7 7 7 8 9 10 11 11 12 11 11 11 11 10 10 9 9 9 9 9 9 8 7 8 8 8 7 6 6 7 8 9 12 18 24 25 21 17 15 14 13 13 12 12 12 11 nan
nan 8 8 8 8 8 9 9 10 11 12 11 10 9 8 8 8 7 7 7 8 9 8 7 9 10 10 11 11 11 9 7 7 9 11 11 11 12 11 10 10 10 11 12 13 13 14 15 15 13 11 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 11 12 13 13 12 11 11 11 10 8 7 6 6 6 6 6 6 7 8 9 10 11 11 12 12 12 12 11 11 10 10 10 9 10 10 9 8 9 9 9 8 7 6 6 4 3 4 7 14 19 19 17 16 14 13 13 12 12 12 11 nan
nan 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 7 7 7 8 10 10 8 7 9 10 10 10 10 9 8 8 9 10 9 10 12 12 10 9 9 10 10 10 11 12 13 14 15 14 12 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 11 13 13 12 12 12 12 12 11 9 9 8 7 7 6 6 6 7 7 8 9 10 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 9 8 8 7 5 2 0 1 5 10 13 14 14 14 13 13 12 12 11 11 nan
nan 9 9 9 9 8 8 8 9 9 10 10 10 9 8 7 7 6 7 9 10 10 8 8 9 10 10 10 8 7 8 9 10 10 8 9 12 12 10 10 10 10 10 10 10 10 11 11 13 13 12 11 11 10 9 9 8 8 7 7 6 5 6 7 8 8 8 8 9 8 9 9 10 10 9 10 12 12 13 12 12 12 12 12 12 11 11 11 10 9 8 7 6 6 6 7 8 10 11 11 11 12 13 12 12 11 10 9 8 7 7 8 8 8 9 9 10 11 11 9 6 5 5 6 8 10 11 11 12 12 12 11 11 10 nan
nan 9 9 9 9 8 8 8 8 9 10 10 10 9 8 7 6 6 7 9 9 9 7 7 8 9 10 10 9 8 10 11 12 10 9 10 12 12 11 10 9 9 9 9 9 8 8 9 10 11 11 12 12 12 12 12 11 11 11 10 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 13 12 11 9 8 6 6 7 8 9 10 10 10 10 11 12 12 12 10 8 7 7 7 7 8 8 8 9 11 13 16 17 17 14 11 7 6 7 8 9 10 10 10 10 9 9 nan
nan 8 9 9 9 9 8 8 8 9 9 10 9 9 8 7 6 6 7 8 8 8 7 7 7 8 10 11 11 11 11 11 11 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 9 10 10 11 11 12 13 13 13 14 14 14 14 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 12 12 13 13 13 13 13 13 12 11 9 8 8 8 8 8 8 8 8 9 11 12 12 10 9 8 7 7 8 10 10 10 10 11 13 15 18 20 20 17 12 9 8 7 7 7 8 8 8 8 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
22 21 21 22 28 28 25 23 26 29 27 22 18 15 12 8 5 8 7 5 6 6 6 7 7 5 4 5 6 8 13 20 26 32 37 43 50 55 58 59 57 55 54 53 49 50 47 41 38 38 40 41 39 34 29 25 22 21 20 21 26 36 34 12 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 2 1 13 30 26 11 8 10 11 11 11 9 7 8 7 6 4 3 2 2 2 2 2 1 1 1 1 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 1
26 25 20 17 29 28 25 19 18 22 24 24 23 21 17 12 11 13 12 12 10 8 7 7 7 6 6 6 6 7 8 10 14 19 26 31 35 39 45 49 49 48 46 45 40 40 41 39 36 36 38 42 42 41 33 28 25 23 23 28 38 44 29 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 15 27 21 12 8 11 12 13 12 10 8 7 7 7 5 3 2 3 2 2 1 1 2 2 2 2 2 2 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
30 27 24 19 26 27 23 20 18 18 20 23 27 27 24 20 16 15 14 13 13 11 9 8 7 7 7 7 7 8 9 9 10 14 20 23 24 26 32 40 38 36 35 34 31 30 32 33 30 29 28 30 33 37 34 30 27 25 27 36 47 45 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 25 22 16 8 11 13 14 14 12 9 7 6 6 5 5 3 3 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
35 33 32 25 25 25 23 20 19 19 18 20 25 28 26 24 23 21 21 19 15 13 14 12 8 7 7 8 8 9 10 11 11 12 14 16 20 23 28 27 26 26 28 28 27 25 25 25 21 21 20 22 27 31 33 32 29 26 29 41 49 39 19 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 24 23 16 10 11 13 14 15 13 10 7 6 4 2 4 4 4 3 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 40 39 35 31 29 26 23 22 22 20 20 24 29 28 26 26 28 29 28 25 23 24 19 13 10 9 8 8 9 10 11 12 12 13 13 14 17 21 22 21 21 23 23 22 21 21 19 15 14 14 17 20 26 31 33 30 27 29 41 38 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 22 25 18 13 10 12 14 15 15 12 8 6 4 4 5 5 5 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
42 45 42 40 36 32 29 27 26 24 23 22 25 29 30 29 29 30 31 30 30 31 31 29 23 17 13 10 8 7 7 8 10 11 13 14 13 14 16 16 15 16 17 17 16 18 18 16 15 12 12 16 19 23 28 31 30 28 29 35 20 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 23 22 16 12 12 13 15 16 14 11 7 5 6 5 5 5 4 4 4 3 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 49 44 41 35 33 32 31 28 25 24 24 25 29 31 33 34 34 35 35 36 36 35 35 33 29 23 17 13 9 7 7 8 10 11 12 14 15 16 20 20 18 17 16 15 15 16 15 13 14 14 14 18 22 25 28 29 29 29 42 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 18 22 24 19 15 14 14 14 15 15 12 9 7 6 5 6 6 5 4 3 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 49 46 41 38 36 34 32 30 26 24 26 26 31 33 34 36 37 38 39 40 39 39 39 41 39 35 29 24 18 13 11 10 10 9 9 11 13 16 21 22 22 21 20 19 17 17 13 13 14 14 14 20 26 28 27 29 29 27 46 19 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 17 21 25 24 19 16 15 15 15 16 14 10 9 8 7 6 5 4 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
48 51 49 45 43 40 37 34 32 28 24 26 28 33 39 41 41 43 44 45 45 45 44 44 46 45 41 38 34 29 24 20 16 12 10 8 8 9 13 17 21 23 23 23 24 24 26 23 22 19 14 13 19 29 33 27 27 28 28 38 27 9 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 16 20 24 25 22 19 17 17 15 16 15 13 11 9 8 6 5 4 3 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0
46 51 53 51 48 44 39 36 33 28 25 27 29 36 43 45 45 46 47 48 49 49 47 49 49 49 47 44 40 36 32 29 24 19 14 10 8 8 10 13 17 22 25 23 24 28 32 32 30 27 21 15 17 26 31 24 22 25 25 29 26 11 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 17 23 26 24 20 17 18 16 16 15 13 12 10 9 7 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
46 53 58 56 52 46 40 37 34 30 28 28 31 37 42 44 45 46 48 50 51 50 50 49 50 50 49 47 44 40 35 33 29 27 22 17 13 10 9 10 13 18 25 20 22 29 32 32 31 31 27 20 18 19 22 20 19 20 20 25 23 12 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 25 30 24 21 18 18 18 18 16 14 12 11 9 8 6 5 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
46 54 60 58 54 46 40 38 37 34 30 30 36 36 39 42 44 45 48 51 53 54 53 52 52 52 49 46 43 40 36 34 32 31 29 25 21 17 13 10 8 11 16 16 19 22 25 28 30 33 32 27 23 21 21 18 16 15 17 22 21 13 7 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 26 29 26 22 19 17 17 18 18 15 15 12 11 9 8 6 6 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0
49 56 60 58 53 47 42 40 40 41 34 27 25 24 29 35 42 47 48 51 55 56 55 56 56 56 54 48 42 40 37 34 31 30 30 29 28 25 21 15 12 11 11 12 13 14 20 27 33 36 36 29 26 27 24 19 14 12 14 17 17 16 15 7 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 24 26 24 23 21 18 17 18 19 16 14 13 13 11 10 9 7 7 6 5 4 4 4 4 3 3 3 3 2 2 2 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
52 57 59 56 52 47 45 43 42 44 38 22 17 16 19 24 32 39 44 48 57 59 59 60 60 60 58 52 45 40 37 33 30 28 27 27 28 28 27 23 19 15 12 10 10 11 16 22 27 30 29 27 26 26 21 19 13 10 12 15 17 16 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 27 27 24 23 20 18 19 20 18 15 16 15 14 12 11 9 7 7 6 6 6 5 5 4 4 4 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
50 54 53 50 48 46 45 44 41 40 37 24 16 14 16 18 20 25 34 43 58 61 63 64 62 60 58 53 47 40 36 31 27 24 23 24 24 25 26 27 25 23 17 12 11 11 13 15 18 21 23 24 23 25 21 17 13 9 10 15 19 16 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 27 31 27 24 23 21 21 21 20 18 18 18 16 14 12 10 8 7 7 7 7 6 6 6 5 5 5 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 45 45 46 47 46 45 44 41 37 33 26 19 15 16 18 19 21 27 39 54 61 65 66 64 60 55 50 43 39 36 31 28 24 21 20 19 20 20 23 24 25 21 17 13 11 11 12 12 15 16 19 20 23 21 16 13 10 10 14 20 16 13 6 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 24 26 27 27 23 22 21 20 18 18 18 17 15 14 12 11 9 8 7 7 7 7 7 7 6 6 5 5 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 40 43 44 46 48 46 46 43 37 30 24 21 19 19 19 19 24 28 37 50 59 64 65 62 57 51 46 39 38 35 32 29 27 24 20 17 15 11 14 17 19 19 18 16 14 12 11 10 10 11 14 17 19 19 18 17 16 16 17 18 15 12 7 3 1 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 22 28 30 32 27 24 23 22 21 20 19 18 18 16 14 13 11 9 8 7 7 7 7 7 7 7 6 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 39 42 41 40 44 48 51 48 37 29 22 16 16 20 20 19 20 27 36 43 50 57 58 54 49 45 42 39 37 36 34 32 29 26 22 17 14 9 9 11 13 14 15 16 16 14 13 12 9 7 8 12 15 17 20 20 17 13 9 9 6 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 31 33 34 30 26 25 23 21 20 20 19 19 18 16 14 12 11 8 6 7 7 7 8 8 7 7 6 6 5 4 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 37 41 39 36 38 44 48 53 47 38 25 16 16 21 21 20 19 23 31 37 41 44 46 45 43 41 39 38 38 37 35 33 30 26 23 20 16 12 9 9 10 12 13 13 14 15 14 13 10 9 7 9 11 14 16 16 12 6 4 6 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 30 34 34 32 31 30 27 22 20 20 20 19 18 18 17 14 11 10 11 6 6 7 8 9 9 8 7 7 6 3 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
23 32 39 40 37 36 40 41 50 52 49 39 25 17 18 23 23 19 20 26 33 35 38 41 42 41 39 37 37 38 38 37 34 30 27 22 20 19 15 12 11 10 11 11 10 10 11 11 11 13 12 9 8 10 10 11 10 6 2 1 3 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 3 15 25 30 33 33 33 32 29 24 21 21 20 18 17 19 19 17 17 20 34 8 5 6 7 9 12 15 12 9 5 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
18 26 31 35 35 32 37 37 41 46 51 49 38 26 18 21 25 24 23 24 28 31 33 37 40 40 39 38 38 39 39 37 34 32 28 22 18 17 16 17 16 13 12 13 13 12 8 6 7 11 12 11 10 10 11 11 8 4 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 3 11 19 25 28 31 31 29 29 26 23 23 21 18 16 18 27 40 39 37 60 41 29 18 12 22 39 40 29 16 7 6 5 5 4 2 1 0 1 0 0 0 0 0 0 0 0 0 0
13 18 23 26 28 25 31 33 33 37 43 46 44 35 20 17 24 26 25 23 25 29 34 39 41 43 41 41 42 42 41 39 35 32 28 23 19 17 19 19 16 13 12 14 18 19 15 8 6 7 9 9 10 11 12 10 6 5 2 3 3 2 1 2 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 26 27 28 28 28 26 24 24 23 19 17 19 32 47 61 63 71 77 74 62 44 33 47 51 49 36 25 15 7 4 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0
10 14 16 15 18 19 24 28 30 32 35 37 39 38 22 18 21 23 21 21 24 30 37 41 42 43 42 42 43 44 43 41 37 32 30 27 22 20 18 13 8 6 7 10 17 21 19 13 9 7 7 6 7 9 9 8 6 6 4 3 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 23 23 25 28 31 27 25 25 23 21 19 17 20 36 60 68 74 83 94 99 88 71 63 62 64 58 46 33 21 9 5 4 2 2 1 1 0 0 0 0 0 0 0 0 0
8 11 10 10 10 13 19 24 29 33 35 34 35 38 34 28 27 26 25 27 31 33 35 34 35 39 42 43 44 43 42 40 38 35 32 31 28 23 14 6 2 1 1 3 8 12 16 16 15 12 8 6 6 6 7 7 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 2 6 12 18 21 21 24 26 27 27 26 25 23 21 17 15 41 61 71 77 84 93 103 106 107 103 99 90 80 64 47 32 16 5 9 7 6 3 3 3 1 1 0 0 0 0 0 0
5 6 7 8 9 11 15 19 26 34 42 48 51 53 49 44 42 40 37 36 37 37 35 31 30 36 42 43 42 39 39 38 38 35 33 33 26 14 5 1 0 0 0 0 1 3 5 9 14 14 10 7 6 5 5 6 6 5 3 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 3 2 2 1 0 0 0 0 0 0 0 0 1 4 8 13 16 18 21 24 26 27 26 25 25 23 18 19 40 64 79 88 93 97 101 110 121 127 123 113 102 92 77 58 39 29 30 25 20 17 17 17 11 4 1 2 1 0 0 0
2 3 4 5 8 12 12 14 20 31 46 57 61 59 58 54 51 55 49 41 42 42 38 33 31 35 40 41 39 37 37 39 42 41 36 26 16 7 2 0 0 0 0 0 0 0 1 3 7 8 4 2 2 4 4 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 3 2 1 1 0 0 0 0 0 0 0 1 5 9 11 16 19 21 23 27 36 42 37 39 38 33 48 71 90 102 103 101 100 105 115 122 127 127 121 110 104 92 76 63 54 47 40 34 29 28 28 17 11 11 7 1 0 0
1 1 3 4 8 12 11 10 11 16 26 36 36 28 21 33 34 37 39 40 43 44 41 39 39 39 38 39 41 41 41 44 46 44 31 14 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 3 6 9 12 15 16 18 27 50 62 57 61 57 36 41 74 97 109 110 108 104 105 111 121 129 127 118 113 117 113 102 89 77 66 57 51 43 40 41 40 36 31 23 13 7 3
0 0 2 2 6 7 6 5 7 11 15 17 16 15 15 15 16 19 21 23 25 28 34 41 44 39 34 33 36 41 43 40 35 21 10 6 4 2 1 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 1 2 2 2 2 3 3 1 0 0 0 0 0 0 0 0 2 4 6 9 12 14 16 20 41 57 65 70 71 67 68 79 99 116 118 118 114 112 114 116 112 111 116 119 128 131 119 99 85 75 68 62 57 56 57 55 53 52 48 36 20 16
0 0 1 1 3 2 2 2 2 2 3 5 6 5 5 6 7 6 4 3 2 6 17 25 25 21 18 18 22 30 34 28 24 14 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 0 0 0 0 0 0 0 0 0 2 4 7 11 13 14 15 26 37 57 73 78 81 82 87 105 124 129 128 123 119 116 116 121 133 128 120 119 116 106 97 88 81 76 72 71 73 74 71 68 75 82 74 45 28
0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 6 5 4 4 3 4 6 8 12 14 14 10 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 11 13 14 16 26 51 72 81 83 86 96 113 129 136 136 133 129 125 124 131 130 122 117 115 111 105 102 100 96 92 90 91 95 95 88 83 87 107 103 73 44
0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 2 1 0 0 0 0 1 1 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 9 11 13 14 25 47 69 81 87 94 106 119 131 140 144 143 137 134 138 139 132 124 121 119 116 113 115 122 123 121 116 110 106 101 95 90 92 115 117 94 63
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