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
nan 3 5 6 6 6 6 6 6 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 4 5 5 5 6 6 8 9 10 10 9 8 8 8 8 8 7 6 5 4 3 3 3 4 3 3 0 -3 -6 -2 4 9 10 8 6 4 4 4 4 4 4 4 3 3 4 4 5 5 5 6 7 7 7 7 7 6 6 5 4 3 2 2 1 1 1 1 1 1 2 2 3 3 2 1 1 0 -0 -0 0 0 0 nan
nan 5 6 6 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 3 4 4 5 5 6 6 7 8 9 9 9 8 8 8 8 8 7 7 6 5 4 4 4 4 4 3 1 -4 -6 -3 4 10 11 9 6 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 7 6 6 6 5 5 4 3 3 2 2 2 1 2 2 2 3 3 3 2 1 1 0 -0 0 0 0 nan
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nan 8 9 9 10 11 13 15 15 14 13 12 11 10 10 9 9 8 8 8 8 9 9 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 12 13 12 11 9 7 5 5 5 4 2 1 1 3 5 7 11 16 21 22 21 19 16 15 14 14 13 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 9 8 9 11 13 14 13 12 11 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 11 12 13 12 12 10 9 9 10 11 13 13 12 11 9 8 7 7 7 5 3 3 3 4 4 6 11 16 20 23 22 21 20 20 19 18 16 13 12 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 9 11 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 8 7 7 7 7 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 12 13 14 14 13 11 9 8 8 8 10 11 11 10 9 9 9 8 8 7 6 7 6 4 3 5 8 13 19 22 24 27 27 27 26 22 17 14 13 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 10 11 10 9 8 8 8 8 7 7 6 6 7 7 7 6 5 4 4 5 5 5 4 4 4 5 6 7 6 5 5 6 6 7 6 6 6 7 8 10 11 11 10 9 8 8 7 8 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 13 14 15 14 12 10 9 8 9 10 10 10 9 9 9 9 9 8 7 8 8 7 5 3 4 7 11 16 20 23 26 28 30 27 22 18 16 14 13 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 9 10 10 9 9 9 8 6 6 7 7 7 7 7 6 6 6 6 6 6 5 4 3 4 4 4 4 4 3 4 4 6 6 5 4 5 6 7 7 7 7 8 9 11 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 10 10 12 14 15 14 13 12 11 11 11 11 11 10 10 9 9 10 9 8 8 8 8 7 6 5 5 7 10 11 13 16 21 25 27 26 22 19 17 15 13 12 12 11 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 9 9 9 8 8 8 8 6 6 6 6 7 6 6 5 5 4 5 6 7 7 5 4 4 5 6 6 6 6 5 5 6 7 8 7 7 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 8 6 6 7 8 8 8 7 8 9 10 11 10 10 9 10 11 12 12 12 12 12 12 13 13 12 11 10 10 10 10 11 10 9 9 9 9 9 8 6 6 6 7 8 9 12 19 24 27 27 24 20 17 15 14 13 12 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 7 7 7 8 8 8 6 5 6 6 6 5 5 5 4 4 3 4 6 7 7 6 6 7 7 8 9 9 9 8 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 8 7 7 6 6 6 8 9 10 10 11 10 10 9 9 9 10 10 10 11 11 13 14 14 13 11 10 10 10 10 11 10 10 10 10 10 9 7 5 5 6 7 7 9 14 20 25 28 28 25 21 18 16 15 14 13 12 11 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 6 7 7 8 8 9 8 6 5 5 6 6 6 5 5 5 4 2 2 3 6 7 8 8 8 8 9 9 10 11 10 8 7 6 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 12 13 14 15 15 14 11 9 8 7 7 8 8 9 10 10 11 10 9 9 9 9 9 9 9 10 11 13 14 14 14 13 11 10 9 10 11 11 10 10 10 9 8 6 6 7 7 8 8 10 14 19 24 28 29 27 24 20 18 16 14 13 12 12 11 11 10 9 9 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 6 7 9 9 9 9 8 6 4 5 6 7 6 6 6 6 5 4 3 3 5 6 7 7 8 8 8 8 9 11 11 10 7 6 7 8 9 9 9 9 9 9 8 8 9 8 7 7 8 8 9 10 12 14 16 18 18 17 16 14 12 11 9 6 5 7 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 14 15 15 13 11 9 9 10 11 11 10 10 10 9 8 7 7 7 7 7 7 9 12 17 22 27 29 29 26 23 21 19 18 16 14 13 12 12 11 10 9 8 8 8 7 7 7 6 6 6 6 6 nan
nan 6 8 9 10 10 9 8 5 4 4 6 7 7 7 7 7 7 6 6 6 5 5 6 6 6 6 6 7 8 10 11 11 9 8 7 8 8 9 9 10 10 8 7 7 6 6 5 6 7 8 10 10 11 12 14 15 16 17 17 17 16 14 11 8 6 6 8 10 10 10 10 10 10 9 9 10 10 9 8 8 9 11 13 14 14 13 11 10 10 10 10 10 10 10 10 9 8 7 6 6 6 5 6 7 9 14 19 24 28 29 29 28 28 28 26 23 19 15 14 13 11 10 9 9 8 8 8 7 7 7 6 6 7 nan
nan 6 7 8 9 9 8 7 5 3 3 4 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 6 8 9 10 10 8 8 8 8 9 9 9 8 6 5 4 4 4 4 5 7 9 10 11 12 13 14 15 16 16 17 18 18 17 15 12 10 8 9 10 11 11 10 10 10 9 9 11 11 10 8 7 7 8 10 11 13 14 14 13 12 11 11 10 10 9 9 9 9 7 6 5 5 5 4 4 5 7 11 16 21 25 28 30 31 33 34 32 26 20 17 15 14 12 11 10 10 9 8 8 7 7 7 7 7 nan
nan 6 6 7 8 9 9 8 7 5 3 3 4 5 5 5 6 6 6 7 7 7 7 7 6 5 4 3 3 3 5 6 8 8 8 8 8 8 8 9 8 6 4 3 3 3 4 5 6 8 9 10 11 12 14 15 15 15 16 17 18 18 18 18 17 14 11 9 10 12 12 11 11 11 10 10 11 12 11 10 8 6 7 8 10 11 13 14 15 15 14 12 11 9 8 7 8 8 8 7 6 6 5 5 4 5 6 8 11 13 16 19 21 23 25 29 30 28 23 20 18 16 15 14 13 12 11 10 9 8 8 7 7 7 nan
nan 7 7 7 8 9 10 11 10 7 4 3 4 5 7 7 8 7 8 8 8 8 7 7 7 6 4 2 1 1 2 3 5 6 7 7 7 7 8 8 8 6 4 3 3 3 4 6 7 8 7 7 8 10 11 12 13 14 15 16 17 17 18 20 19 17 13 10 10 11 11 12 12 11 10 9 9 11 11 11 9 7 6 7 8 10 11 13 14 15 15 14 13 11 9 7 7 8 9 9 8 7 7 6 5 5 6 7 8 9 10 11 12 13 15 17 20 22 21 20 19 18 17 16 15 14 12 11 10 9 9 8 8 7 nan
nan 8 7 6 6 8 10 11 11 10 7 5 5 7 9 10 11 11 11 10 9 8 8 8 8 8 6 4 2 1 1 2 3 4 5 6 7 8 8 8 9 8 6 4 4 4 5 6 7 7 6 5 5 7 8 9 10 12 14 15 15 15 17 19 19 19 16 12 10 9 9 10 10 11 10 9 9 10 11 12 10 7 6 6 7 9 10 10 11 13 14 14 14 13 12 10 9 9 9 9 9 9 8 7 6 5 4 6 8 8 8 8 9 10 11 12 14 16 17 18 18 18 17 17 17 16 15 13 12 11 10 10 9 8 nan
nan 9 8 7 7 8 9 9 10 10 9 7 6 7 9 11 12 13 12 11 10 9 9 9 10 9 9 7 5 4 3 2 2 3 4 6 7 8 9 10 11 11 9 7 6 5 5 5 5 5 5 5 5 5 6 7 8 10 11 12 12 12 13 14 15 16 16 14 12 9 7 6 7 8 9 9 10 10 11 12 11 9 7 7 8 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 7 5 3 4 6 7 8 9 9 10 11 13 14 15 17 18 17 16 16 16 16 16 16 15 14 13 12 11 10 10 nan
nan 9 9 9 9 8 7 7 8 9 9 8 7 8 8 9 10 11 11 11 11 11 10 11 11 10 10 9 8 7 6 4 2 2 4 6 7 8 9 10 12 12 11 9 7 6 5 4 3 3 4 4 5 6 6 7 7 8 8 8 8 8 8 8 9 11 13 14 13 10 8 6 5 5 7 9 10 10 9 10 11 10 9 8 9 9 9 9 8 9 9 10 11 10 10 10 10 10 9 9 9 9 10 9 8 7 4 3 4 5 7 8 9 10 13 16 18 20 21 22 20 18 16 16 16 16 16 15 15 14 14 13 12 11 nan
nan 9 9 9 8 6 6 6 7 8 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 10 9 8 7 4 2 2 4 5 6 7 8 10 11 12 12 11 7 5 4 3 3 3 3 4 5 6 6 6 7 6 5 4 4 4 5 6 7 9 10 11 11 11 10 9 7 6 6 8 9 9 7 8 9 10 10 9 9 9 9 8 8 8 9 11 11 11 10 9 9 9 9 9 9 9 9 10 9 8 7 4 3 4 5 7 8 10 14 18 20 22 23 25 25 23 20 17 16 15 15 15 15 15 15 14 13 13 nan
nan 9 9 8 7 6 6 7 8 9 10 11 10 10 9 9 9 10 11 11 10 10 10 10 11 11 11 11 10 9 8 7 4 3 3 4 5 6 7 9 10 12 13 12 9 6 4 3 3 2 2 3 4 5 5 5 5 5 4 2 2 3 5 7 8 8 8 8 8 9 10 11 10 8 7 8 9 9 7 7 8 9 8 7 7 7 8 8 7 7 9 11 13 13 12 10 9 9 9 9 9 9 9 9 9 9 8 7 4 3 4 6 8 9 11 14 16 18 20 23 27 28 26 21 17 16 15 15 15 15 15 15 14 14 nan
nan 9 9 8 8 8 8 8 9 9 11 12 12 11 10 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 11 8 4 2 2 4 6 8 9 10 11 13 15 13 9 7 5 3 2 1 2 4 4 4 4 3 3 3 2 3 5 7 9 9 8 7 6 6 7 9 10 10 8 7 7 9 10 9 8 7 6 5 4 4 4 6 7 7 7 8 10 12 13 13 12 11 10 9 9 9 9 9 9 8 8 8 8 6 4 4 6 8 8 8 8 9 11 14 17 21 25 28 25 20 17 16 15 15 14 14 15 15 15 nan
nan 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 10 9 9 9 10 11 11 12 13 14 14 12 8 4 2 3 6 8 9 9 10 12 14 14 13 11 10 7 4 3 4 5 5 5 4 3 3 3 4 6 8 9 10 9 7 6 6 6 7 8 9 9 8 7 7 8 9 9 8 7 6 4 3 2 2 3 4 5 4 5 7 9 11 12 13 13 13 11 10 9 9 9 8 8 8 8 8 7 6 5 7 9 9 7 5 5 7 8 9 13 18 24 25 21 18 17 16 15 14 14 14 14 14 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 8 7 8 9 11 12 11 11 11 11 11 11 11 12 13 13 12 9 6 6 6 7 7 7 9 10 12 12 13 13 13 12 9 6 5 5 5 5 5 4 4 5 6 8 10 10 9 8 7 7 7 8 8 8 9 10 10 9 8 7 8 9 9 9 9 7 6 4 4 4 3 3 2 2 4 6 9 10 12 13 14 13 11 10 10 9 9 8 8 8 8 8 7 6 7 9 10 9 6 5 5 4 3 3 7 14 18 18 17 16 16 15 14 14 14 14 14 nan
nan 10 10 10 10 10 10 9 10 9 8 7 7 8 9 9 7 6 6 7 8 11 13 13 12 12 12 11 10 9 8 9 11 13 13 11 9 8 7 7 7 8 9 10 10 11 13 14 14 11 8 6 5 4 3 3 3 3 4 5 6 7 7 7 7 7 7 8 9 9 9 9 10 11 11 11 10 9 9 10 11 12 12 11 9 9 9 8 5 3 2 3 4 7 9 10 11 12 12 12 11 11 11 10 9 8 8 7 7 7 7 8 9 10 10 9 7 6 4 1 -2 -0 4 9 12 13 14 14 14 14 13 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 9 7 6 7 8 9 8 7 7 7 8 10 11 12 12 12 11 10 8 7 6 7 9 11 12 11 9 8 8 9 9 8 9 9 10 10 11 12 13 12 11 9 8 6 4 3 3 3 2 2 1 1 1 3 5 6 7 8 9 9 9 9 9 10 11 12 11 10 10 11 12 13 14 14 13 13 13 12 10 8 6 4 3 4 6 7 8 10 11 11 11 12 13 12 11 9 8 6 6 6 6 7 7 7 7 8 9 9 9 7 4 3 3 4 7 9 10 11 11 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 8 8 7 7 8 9 10 10 9 8 7 7 8 8 9 11 12 12 9 8 8 9 9 9 9 9 9 9 9 10 11 13 13 13 12 12 11 10 9 8 6 4 1 -1 -1 1 3 5 7 7 8 7 8 8 8 8 9 11 12 12 12 11 11 12 13 13 13 13 13 13 13 13 11 9 5 3 3 5 7 9 11 11 11 11 13 13 13 11 9 7 5 4 5 6 7 6 5 6 8 11 14 15 15 13 9 6 5 6 7 8 8 9 9 10 10 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 8 6 5 6 6 7 8 8 9 10 10 10 10 9 10 13 13 11 8 7 7 8 9 9 9 9 8 8 8 9 10 11 12 12 13 13 14 14 14 13 12 10 7 5 4 4 5 7 7 7 7 6 7 7 8 9 10 12 12 12 11 10 10 11 11 11 12 13 14 14 14 14 13 11 8 6 6 7 8 10 10 9 9 11 12 13 12 10 8 6 4 4 6 9 9 8 8 9 10 12 16 19 19 15 10 8 7 6 6 7 7 7 8 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
34 24 20 20 21 19 17 16 16 16 15 13 13 14 15 17 19 20 16 12 6 4 5 5 5 5 6 5 5 4 5 5 4 4 4 4 4 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 1 1 5 11 18 27 39 47 44 36 33 35 39 35 34 34 35 37 38 40 43 45 50 53 55 54 53 49 43 38 35 32 31 33 35 37 37 35 37 39 39 40 42 44 45 45 44 43 42 40 39 41 44 44 46 47 48 52
27 20 17 18 19 16 15 16 16 17 17 17 18 19 19 20 21 23 18 10 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 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 1 2 7 12 23 37 44 41 34 30 29 37 36 35 33 32 34 36 37 37 32 39 40 39 40 42 45 44 41 39 36 33 31 31 32 34 35 36 37 37 37 37 37 39 40 40 38 35 33 33 35 37 38 41 42 43 47
22 19 20 21 21 19 17 17 17 18 19 21 24 25 24 23 26 25 18 10 7 7 7 7 6 6 5 5 4 3 2 2 3 3 3 2 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 3 8 18 35 46 42 35 30 26 33 35 34 33 32 31 31 31 34 34 38 37 36 39 41 42 41 41 40 37 32 28 25 24 25 26 28 30 32 33 34 35 36 36 35 33 32 31 31 31 31 32 35 37 36 38
22 22 23 24 24 23 20 18 18 20 23 25 28 28 25 23 26 25 20 13 10 10 11 10 9 7 6 4 4 3 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 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 15 34 50 47 37 31 29 33 35 33 30 29 28 29 30 32 33 35 36 37 39 39 39 39 39 39 36 30 27 25 23 22 22 22 22 24 27 29 32 34 35 34 33 32 31 30 28 27 28 30 30 30 30
24 24 26 27 27 27 21 21 23 26 28 30 31 32 28 24 24 25 23 20 17 15 14 14 14 11 9 6 5 4 3 3 3 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 0 0 0 0 0 0 0 2 9 33 49 50 42 36 35 38 37 32 26 23 24 26 27 28 30 32 34 36 36 36 36 37 37 37 35 31 28 26 25 24 23 22 21 21 23 23 26 30 33 33 33 33 32 30 28 27 27 27 26 25 25
26 27 29 32 30 30 26 26 30 33 35 37 37 37 31 25 23 24 23 23 24 21 18 17 18 17 14 9 7 5 3 3 3 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 0 0 0 0 0 0 0 0 0 2 26 45 52 49 41 36 38 39 33 25 21 23 23 24 26 28 30 34 36 38 39 39 37 35 34 33 30 28 27 27 25 24 23 23 23 23 23 23 24 26 28 29 30 30 29 27 26 26 25 24 24 22
29 32 32 32 29 30 30 32 34 35 36 39 42 39 35 24 21 22 22 22 24 23 20 19 19 19 15 10 7 5 4 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 3 21 42 56 57 47 37 38 40 36 29 25 24 23 22 23 25 28 31 33 35 35 33 32 30 29 28 27 26 26 26 23 23 23 23 23 23 23 24 24 24 24 25 25 25 24 23 23 23 22 20 19 17
30 35 33 29 26 27 29 30 31 30 30 32 34 33 31 25 23 22 22 22 21 20 18 18 17 16 12 9 7 6 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 0 0 0 3 17 40 60 63 53 41 39 41 39 34 27 23 22 22 23 23 24 25 24 26 25 24 24 24 24 25 26 25 26 24 21 23 23 23 23 23 23 23 22 23 24 24 24 24 23 22 21 20 19 18 17 16
34 37 35 30 27 25 24 25 25 26 24 24 25 26 25 22 20 20 21 20 19 18 16 18 16 11 9 8 7 7 7 6 5 3 3 2 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 2 13 35 56 64 58 46 38 41 40 35 27 22 21 21 20 20 22 22 17 16 16 18 21 22 22 25 27 27 29 28 28 26 24 23 22 22 22 20 20 21 22 23 24 24 24 23 22 21 20 18 16 16
33 37 36 33 30 26 23 23 23 24 22 22 22 23 22 21 22 25 24 21 22 20 15 17 16 12 9 8 8 8 7 7 6 5 4 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 33 54 65 63 53 38 39 38 32 24 20 20 19 17 16 19 20 17 14 15 16 18 21 23 26 28 29 29 28 27 25 23 22 21 21 20 19 20 19 20 20 21 22 22 23 22 21 21 20 18 17
28 29 31 32 31 28 25 24 25 24 24 23 22 22 22 22 23 25 27 26 25 22 17 18 17 15 13 10 9 9 8 8 8 7 6 4 3 2 2 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 3 14 32 51 64 65 56 42 38 37 32 24 19 20 19 17 16 16 17 17 18 21 21 21 23 24 27 29 30 30 29 27 25 23 22 21 20 20 19 18 18 18 18 19 20 20 19 21 20 22 21 20 19
25 25 26 29 30 30 28 27 28 27 27 25 24 22 23 23 24 26 27 28 30 25 20 18 18 18 17 14 13 12 11 9 9 9 8 6 4 3 3 2 2 1 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 2 12 30 47 62 64 58 46 38 37 35 27 19 18 18 17 16 15 15 16 17 17 18 19 19 21 24 27 29 31 30 28 26 24 23 22 21 20 19 18 18 17 17 17 18 19 21 22 21 22 22 22 21
25 24 24 26 28 30 30 30 30 30 29 28 27 25 25 26 26 27 27 29 31 27 21 19 19 20 20 18 16 15 15 14 13 10 8 7 6 4 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 5 28 45 57 61 58 49 40 36 35 29 20 16 17 16 16 16 16 17 18 19 19 20 18 16 18 22 26 28 29 28 26 25 23 23 22 21 19 19 19 18 18 18 19 18 18 20 21 22 22 22 23
27 25 25 25 27 29 30 30 30 30 31 31 31 31 30 30 30 28 27 29 31 26 23 23 22 22 22 21 19 18 19 17 16 13 11 8 6 4 3 2 2 2 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 4 24 41 50 56 56 50 41 36 33 29 23 17 16 15 16 16 17 18 20 20 22 21 17 14 13 14 17 21 23 24 23 24 23 23 23 22 21 20 19 19 19 19 19 19 19 19 20 20 21 23 23
28 25 24 25 26 28 28 25 26 27 29 31 34 34 34 34 33 30 27 28 29 27 27 27 26 26 25 24 24 23 23 22 19 16 14 11 7 5 3 2 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 5 21 37 46 52 54 51 45 40 37 33 31 20 16 15 15 16 17 18 20 23 24 22 18 14 11 9 10 12 15 17 19 22 22 23 23 22 21 20 20 20 20 20 19 20 20 20 21 20 20 21 23
29 25 24 24 24 26 26 22 21 22 25 28 30 33 35 34 31 26 25 25 27 28 29 29 30 29 27 26 26 26 25 24 23 20 18 15 12 8 4 2 1 1 1 0 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 4 16 32 42 47 51 51 49 45 41 36 34 28 22 18 16 17 17 19 21 21 22 20 18 14 11 9 8 8 10 11 14 17 19 21 22 21 22 21 20 20 20 20 19 19 20 21 21 21 21 22 23
30 26 22 22 24 23 23 20 18 19 22 25 27 29 30 30 28 26 26 26 28 29 29 30 31 31 29 29 28 28 27 25 24 23 21 18 15 10 6 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 0 0 0 13 27 36 43 48 50 49 49 44 39 35 32 28 22 17 18 16 19 21 22 20 19 18 16 14 12 10 7 8 9 9 11 15 17 20 21 22 22 21 20 20 20 19 19 19 20 20 20 21 21 24
30 27 23 22 23 20 18 17 17 18 19 22 25 27 27 27 28 28 27 28 30 30 29 30 32 33 31 31 32 32 31 29 28 27 26 25 22 16 11 6 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 0 0 0 0 0 0 0 0 1 9 22 32 40 45 46 47 47 44 39 36 35 33 28 20 19 17 17 18 20 21 21 20 18 18 16 13 10 10 9 9 9 11 13 17 20 21 21 20 20 20 20 19 19 19 19 18 16 15 16 20
28 27 25 23 20 16 14 15 16 18 18 19 22 26 28 29 31 32 31 32 32 31 31 31 32 34 34 35 35 35 33 32 31 30 29 28 27 21 15 11 6 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 0 0 0 0 0 0 0 1 6 17 29 36 41 42 43 43 41 38 37 37 35 31 25 20 17 16 17 18 19 20 20 19 20 18 16 14 12 10 9 9 9 9 11 14 16 18 18 19 19 19 18 19 18 16 14 12 10 11 12
27 26 24 21 17 13 13 14 15 17 19 20 22 25 27 29 32 35 36 35 34 33 32 32 33 34 35 36 36 36 33 34 34 32 31 30 30 26 19 14 10 6 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 3 10 22 30 37 39 40 39 37 37 39 40 38 35 29 23 18 17 18 19 20 21 19 19 20 20 19 18 16 14 11 9 10 10 9 9 10 11 13 14 15 15 15 14 13 12 10 9 8 8 8
27 24 22 20 18 14 14 14 14 17 19 20 22 24 26 29 33 37 38 38 37 36 35 34 34 34 34 34 35 34 33 32 33 33 34 32 30 27 22 17 13 10 6 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 0 2 13 24 30 33 36 39 41 42 41 43 43 39 34 28 21 19 19 20 21 20 19 19 20 20 20 20 20 18 15 12 11 10 10 10 10 9 8 9 10 11 11 10 9 8 8 8 8 8 8
23 21 20 20 21 18 16 16 17 19 20 20 21 23 24 27 32 35 37 38 39 38 37 37 37 34 35 35 36 34 31 29 29 31 34 34 32 28 24 19 15 11 7 4 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 1 7 16 23 26 30 37 41 41 41 46 49 44 38 31 25 21 20 21 22 20 21 20 20 20 20 20 21 19 18 16 14 12 11 12 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9
18 20 20 21 21 21 20 21 22 24 25 23 21 22 22 25 27 30 33 36 38 38 38 38 40 37 37 35 35 34 31 29 28 30 33 35 34 32 26 19 13 8 5 4 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 2 8 16 21 25 31 36 43 46 48 51 49 43 36 29 24 21 22 23 24 23 22 21 20 20 20 20 20 20 20 19 17 15 13 12 11 11 11 10 10 9 9 9 9 8 8 9 9 9
15 18 18 18 19 21 23 26 29 31 29 23 18 17 16 19 21 23 26 31 34 36 37 39 40 38 36 35 35 35 34 32 31 32 32 32 33 31 25 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 20 26 29 37 43 46 49 50 48 42 35 28 25 25 25 26 26 25 24 23 22 21 20 20 21 22 22 22 20 17 15 14 14 13 11 11 11 11 10 9 9 9 9 9 9
11 12 11 11 14 19 24 28 33 33 27 20 17 16 15 16 18 19 22 26 30 32 34 37 38 35 33 33 33 33 33 32 30 28 27 27 27 24 20 15 12 10 6 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 0 0 0 1 3 7 14 22 25 31 37 41 45 48 48 47 41 35 32 29 28 29 29 28 28 28 26 24 22 22 22 22 23 24 23 21 19 19 18 16 14 13 13 13 11 11 10 10 10 10 10
6 5 6 6 8 13 19 27 31 29 23 19 17 13 13 15 18 20 22 26 28 28 30 33 34 31 30 28 28 29 32 31 29 25 24 23 21 18 15 13 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 16 20 24 28 34 39 44 45 46 44 40 35 32 31 32 32 32 32 33 32 31 29 27 26 25 24 24 22 20 21 21 20 19 17 17 15 14 13 13 12 11 10 10 11
7 6 7 5 5 8 13 19 23 23 21 19 19 16 12 13 16 18 21 26 27 26 26 27 28 26 27 26 24 26 29 32 29 25 23 17 12 11 12 12 9 6 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 0 0 0 0 0 3 9 15 21 25 28 32 38 42 44 44 42 40 37 35 35 34 34 35 33 33 33 32 32 31 29 27 24 23 22 22 22 22 22 20 19 19 17 15 14 13 13 12 12 12
13 13 14 12 7 6 8 11 15 17 18 18 19 14 12 12 15 17 21 24 26 26 27 26 24 22 23 21 18 19 23 26 22 18 17 12 10 11 11 10 9 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 20 23 26 31 35 39 41 41 41 41 40 39 38 37 37 35 33 32 31 31 30 31 30 27 24 22 22 23 24 24 24 25 24 22 20 17 15 15 14 13 12
19 18 19 18 13 9 9 13 17 20 18 16 17 14 13 14 16 17 18 19 20 19 22 22 19 17 16 15 15 18 21 18 10 11 12 11 10 9 9 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 19 24 26 28 32 36 38 40 41 42 42 41 41 40 39 37 33 30 29 29 31 32 31 27 25 24 24 26 26 28 29 31 28 23 21 19 17 16 16 15
21 20 20 19 17 15 14 15 18 18 17 15 14 12 11 13 17 18 17 14 12 9 12 13 12 10 9 9 9 11 12 11 9 9 8 7 6 5 5 5 4 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 2 5 8 12 18 22 24 26 29 33 37 39 40 41 41 41 41 41 40 39 33 30 30 31 32 32 29 27 26 26 28 29 30 31 32 31 27 25 22 20 19 18 17
22 21 20 18 17 16 15 14 14 15 14 13 12 9 7 9 13 15 14 10 7 5 5 6 6 6 6 5 5 6 6 6 6 6 5 4 3 2 2 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 2 4 6 10 17 21 22 24 27 32 36 38 40 40 39 40 40 39 42 38 35 34 33 33 33 30 28 26 27 29 30 32 32 32 32 31 29 25 23 22 21 19
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