Vorticity
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nan 6 5 5 4 4 3 3 3 3 4 4 4 3 3 2 2 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 7 8 10 12 13 11 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 7 7 7 7 7 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
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nan 7 6 5 4 4 4 5 5 5 4 3 3 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 7 8 9 11 10 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 5 4 4 5 6 6 7 7 7 7 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 nan
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nan 8 8 8 7 7 7 8 10 11 11 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 9 9 9 10 11 12 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 9 nan
nan 7 7 7 7 7 8 9 10 11 10 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 12 13 15 16 15 14 13 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 10 10 nan
nan 7 6 7 7 7 8 9 11 11 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 7 7 6 6 6 6 6 7 7 8 8 8 8 8 10 10 8 8 8 8 9 10 13 14 15 14 13 12 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 nan
nan 7 7 6 7 7 8 9 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 7 7 8 9 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 5 5 6 7 6 6 6 7 7 7 8 8 9 9 9 8 9 10 9 8 7 7 8 8 9 10 11 12 12 11 10 11 11 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 nan
nan 7 7 7 7 7 8 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 10 10 10 9 8 8 7 7 7 8 9 10 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 11 10 8 6 6 5 5 4 6 7 7 6 7 7 8 8 9 9 9 9 9 8 8 9 9 7 7 7 8 8 8 9 9 10 10 9 9 9 11 11 10 9 9 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 11 11 11 12 12 11 11 11 11 nan
nan 7 7 7 7 7 8 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 8 9 10 11 11 10 9 8 7 7 7 7 8 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 9 10 11 10 7 6 5 5 5 5 5 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 nan
nan 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 9 10 10 11 10 9 7 7 7 7 8 9 10 11 10 9 8 7 7 8 9 9 10 10 10 9 8 7 7 8 9 10 11 10 8 5 4 4 5 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 10 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 9 9 10 10 9 8 8 8 7 7 8 8 7 7 8 8 8 9 8 8 9 9 9 9 8 8 9 9 10 9 8 7 7 7 7 8 9 10 10 9 8 7 7 8 9 9 10 11 11 9 8 7 7 8 9 10 11 11 8 5 4 4 4 5 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 8 9 9 8 8 9 9 9 9 10 11 11 12 12 12 12 12 12 11 10 9 9 8 8 7 7 7 7 nan
nan 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 10 8 7 7 8 10 11 11 10 9 6 4 4 4 5 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 8 7 7 8 9 9 9 10 11 11 12 13 13 14 13 13 12 12 12 12 12 12 12 11 10 9 9 8 7 7 7 7 nan
nan 9 9 8 8 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 8 6 6 8 10 12 12 11 9 6 4 4 4 5 6 7 8 8 9 9 9 8 9 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 11 13 14 16 17 18 17 15 12 11 10 10 10 11 11 12 11 11 11 10 10 9 9 8 8 nan
nan 9 9 9 8 7 7 8 9 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 7 6 7 10 12 14 13 9 6 3 3 3 4 5 7 8 9 9 9 9 9 8 8 9 9 8 7 7 8 8 8 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 10 11 13 15 16 17 17 15 11 7 6 7 7 8 9 10 10 11 11 12 12 12 12 11 11 11 nan
nan 9 9 9 8 7 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 10 9 9 8 7 7 9 12 14 14 11 5 2 1 1 3 5 7 8 9 10 10 9 9 8 8 8 9 9 8 7 7 8 8 8 8 8 7 8 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 9 9 10 10 11 12 12 12 10 6 2 0 2 4 6 7 8 9 9 10 11 12 13 13 14 14 14 14 nan
nan 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 9 11 14 15 12 6 1 -1 -1 1 4 6 8 10 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 5 -1 -4 -2 1 4 7 8 9 9 9 10 11 11 12 13 14 15 16 17 nan
nan 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 12 13 12 7 2 -1 -2 -0 3 6 9 10 10 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 8 9 8 8 9 8 5 1 -3 -3 2 6 8 10 10 10 10 10 10 11 11 12 13 14 15 16 17 nan
nan 9 10 9 9 8 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 8 9 10 10 9 8 7 8 8 9 9 9 9 8 9 10 10 10 10 10 10 8 3 0 -0 1 3 6 9 10 10 9 8 7 7 7 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 6 4 0 -1 4 9 13 13 13 12 11 10 11 11 11 12 13 15 15 15 15 15 nan
nan 9 10 10 9 8 8 7 7 8 8 9 9 10 9 8 7 6 7 7 7 8 8 8 8 7 8 8 9 9 8 8 7 8 8 8 7 7 8 9 10 10 9 7 7 7 8 8 9 9 9 9 10 10 10 9 9 8 7 4 2 2 2 4 7 9 11 11 9 8 7 7 7 7 8 8 9 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 6 5 4 7 13 17 18 16 14 13 12 11 10 10 10 12 14 15 14 13 11 10 nan
nan 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 5 4 3 4 5 7 9 11 11 9 8 7 7 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 9 13 17 19 17 16 15 14 12 10 9 9 10 11 12 12 11 10 8 7 nan
nan 8 8 9 9 9 8 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 9 9 9 9 8 6 7 8 8 8 8 8 8 8 9 9 8 7 6 5 4 4 5 6 7 8 10 10 9 8 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 8 8 8 8 9 9 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 13 14 14 13 13 13 12 10 8 7 8 10 10 11 10 8 8 8 8 nan
nan 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 10 9 9 9 10 10 9 7 6 7 9 10 10 10 9 8 8 9 10 nan
nan 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 8 9 8 7 6 7 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 6 5 4 3 2 3 7 10 11 11 10 10 10 10 11 12 nan
nan 8 8 8 9 9 9 9 8 9 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 7 7 9 9 9 9 9 8 8 8 8 7 7 7 8 7 7 6 6 6 7 8 8 9 9 8 8 8 9 8 9 9 9 8 8 8 7 7 6 6 6 6 7 8 9 9 8 8 8 7 6 5 3 1 -0 -1 -2 1 6 9 10 10 9 10 10 11 11 11 nan
nan 8 8 8 9 9 9 9 8 9 9 10 10 9 8 7 7 7 7 8 8 9 8 7 8 8 8 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 7 6 6 5 5 5 7 8 9 9 9 8 8 8 8 6 5 3 2 1 0 1 4 6 6 6 7 8 9 10 10 9 8 nan
nan 8 8 8 8 9 9 9 8 8 9 9 10 10 9 7 6 7 7 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 8 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 9 9 8 8 8 7 6 6 5 5 5 7 8 9 9 9 8 8 9 9 8 8 8 8 8 7 6 6 5 4 2 2 4 6 7 7 6 5 5 nan
nan 9 8 7 8 9 9 9 8 8 8 9 10 10 9 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 6 6 7 7 7 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 7 6 6 6 6 6 7 9 9 9 8 8 8 9 9 9 9 10 11 12 12 10 7 4 1 -1 -2 -1 1 3 3 3 2 2 2 nan
nan 9 8 8 8 8 9 9 9 8 9 9 10 10 9 7 6 6 7 7 8 8 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 9 9 9 10 10 10 10 9 8 8 9 9 8 7 6 6 7 7 7 7 8 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 7 7 9 9 9 8 8 9 10 10 10 10 11 11 11 12 10 5 0 -3 -5 -5 -3 -1 0 1 1 1 1 1 2 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
54 55 63 67 66 59 48 46 44 38 34 35 38 42 43 39 33 33 31 31 33 36 38 34 28 24 21 18 16 16 19 23 26 29 29 28 29 32 35 36 34 30 20 16 14 11 10 11 9 6 5 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 0 0 0 0 1 1 0 0 1 1 2 4 5 7 10 13 13 12 10 7 7 10 9 9 9 8 8 8 11 17 18 20 22 21 19 17 17 15 11 8 5 7 17 39 79 137 123 97 73 57 49 45 41 37 33 34
74 76 78 80 78 69 56 49 45 39 35 35 38 42 45 46 44 34 27 25 25 29 31 29 24 22 20 16 15 14 16 20 23 24 24 23 25 31 37 37 36 37 27 24 21 19 18 17 15 12 10 8 1 1 0 0 0 1 0 1 4 6 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 1 3 4 5 7 10 11 10 7 5 5 7 9 9 9 8 7 6 8 13 17 20 23 23 22 23 23 20 16 13 9 10 14 20 27 43 47 46 43 44 45 40 36 36 36 38
90 93 99 100 95 85 70 58 49 42 37 36 38 41 45 46 45 34 29 27 25 21 19 17 16 16 17 15 15 14 16 18 21 21 20 20 21 23 26 25 29 34 32 31 29 27 25 22 20 16 15 15 8 5 3 2 4 5 6 8 13 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 2 4 5 5 6 6 5 3 4 4 5 8 9 9 7 6 5 6 9 15 17 21 24 26 26 26 24 19 14 12 12 15 17 21 26 28 29 30 33 33 31 31 32 33 33
108 115 128 130 121 107 90 76 64 55 45 39 40 41 43 44 43 36 30 27 21 15 12 11 10 12 14 13 12 12 14 15 17 16 14 13 14 15 19 23 27 30 31 31 31 31 30 27 27 23 21 15 10 8 5 7 9 8 9 16 16 17 8 1 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 1 2 3 3 2 2 3 3 1 2 2 3 5 7 5 4 4 5 5 6 10 14 17 21 25 28 30 27 21 15 13 13 14 15 19 23 22 21 22 25 23 24 24 25 27 28
141 149 160 157 143 122 97 87 86 82 71 57 52 48 46 43 37 30 26 25 24 21 15 10 8 9 10 9 7 7 8 9 10 10 8 6 7 9 13 18 22 25 26 27 28 31 31 29 29 27 24 20 15 10 6 7 8 6 9 17 14 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 1 1 1 1 0 0 1 2 1 1 1 2 3 4 3 4 5 5 5 5 8 10 13 16 19 24 30 28 25 20 17 15 14 15 18 18 17 17 16 17 15 17 16 17 17 18
179 181 179 157 133 102 80 81 98 118 119 102 83 68 56 49 38 30 25 24 23 19 13 11 8 5 5 4 3 4 5 6 7 7 6 4 5 8 10 13 17 19 22 25 29 31 30 29 29 27 25 24 19 16 13 11 10 8 11 18 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 5 5 5 5 5 6 8 11 14 13 18 24 28 28 29 26 22 19 18 17 14 12 11 11 10 11 12 13 13 14 14
196 182 159 120 89 60 54 61 92 146 187 190 152 103 72 76 57 39 28 24 20 15 12 10 8 5 6 5 4 5 6 7 6 5 5 5 5 5 5 8 12 15 19 25 29 30 29 27 27 26 25 25 24 22 20 16 14 14 16 24 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 5 6 7 8 9 9 8 13 19 24 28 31 33 31 28 25 22 14 12 8 6 7 10 12 14 14 17 18
181 156 113 77 49 32 28 40 75 139 223 301 237 138 98 105 84 54 33 23 17 12 8 5 3 2 4 5 6 5 6 7 6 5 4 2 2 2 2 4 7 11 15 20 23 25 25 25 24 25 24 23 22 21 20 19 18 21 24 33 21 9 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 1 2 3 3 3 4 5 7 7 8 9 8 8 10 16 21 25 29 32 34 34 31 28 19 15 13 12 10 10 12 12 14 17 19
135 120 83 55 31 16 17 28 46 84 149 233 215 142 115 114 97 70 46 27 16 12 7 1 0 0 0 1 3 4 6 6 5 6 5 1 2 2 1 2 4 7 11 13 16 19 21 24 25 25 23 21 20 20 21 23 25 30 33 39 31 16 6 2 0 0 0 0 0 0 0 0 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 0 0 0 2 3 3 3 4 4 4 6 7 8 8 8 8 9 13 16 21 26 32 37 37 33 30 24 19 16 14 11 11 14 13 14 16 18
96 76 51 29 14 6 7 10 14 28 55 86 104 103 118 137 135 111 70 28 12 11 10 5 2 0 0 0 1 2 3 2 3 4 3 4 5 4 2 1 2 3 6 7 11 14 17 19 18 16 17 21 24 25 25 26 30 33 34 37 36 22 7 2 1 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 0 0 0 0 0 1 2 3 3 3 4 4 5 6 8 8 8 7 8 10 12 17 23 28 34 36 33 30 27 22 17 16 17 16 16 16 15 16 18
61 42 21 5 0 0 1 0 1 5 15 27 52 88 127 164 149 89 36 22 23 20 15 10 5 2 0 0 0 1 1 0 1 1 1 3 4 3 2 2 1 1 2 4 5 7 9 12 13 15 17 19 22 25 25 23 25 28 29 31 35 27 11 4 2 1 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 0 0 0 0 0 1 1 2 2 3 3 3 4 5 7 8 8 9 9 9 10 12 20 26 31 34 34 32 29 24 21 19 18 18 18 18 17 18 20
42 28 12 3 0 0 0 0 1 4 12 25 62 108 140 172 159 97 43 25 26 23 16 11 7 3 1 0 0 0 0 0 0 0 0 2 5 4 2 2 2 2 2 3 2 3 3 5 6 8 11 13 12 13 14 15 18 21 23 25 28 28 17 8 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 1 1 2 3 3 2 2 3 4 6 8 8 9 9 9 9 9 15 22 29 34 35 34 32 29 26 23 19 19 19 19 19 20 21
43 33 20 10 6 4 3 3 9 26 44 74 104 143 159 151 107 47 16 11 13 13 13 10 7 3 2 2 1 0 0 0 0 0 0 0 2 3 2 1 1 2 2 1 1 1 1 1 2 3 4 5 5 7 8 12 15 18 21 22 24 27 23 10 2 1 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 1 1 1 2 3 3 3 3 4 5 6 7 8 8 9 9 9 12 18 23 26 29 32 34 34 33 29 24 22 22 21 20 21 21
58 57 51 42 30 20 18 23 39 76 123 135 168 184 162 128 97 55 16 8 8 8 7 6 6 4 4 4 3 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 4 5 10 15 17 20 21 22 20 12 9 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 0 0 0 0 0 1 1 1 1 1 1 1 2 3 3 3 3 4 5 5 6 8 8 9 9 9 10 12 15 18 23 28 34 38 40 38 35 31 26 22 21 21 21
95 114 130 129 99 61 57 80 86 132 202 206 217 194 150 121 111 94 60 21 11 9 6 5 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 7 13 16 18 18 19 22 10 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 1 1 1 2 2 2 3 3 3 3 4 4 3 4 6 6 5 6 7 9 9 9 9 9 10 14 18 22 29 41 53 60 56 44 33 26 22 20 21
168 230 260 248 203 144 117 97 126 184 230 231 224 206 169 127 98 75 51 32 20 13 8 6 5 5 4 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 1 6 12 15 17 17 18 16 8 4 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 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 6 7 8 8 7 7 8 9 12 14 17 24 38 60 79 79 60 45 35 29 26 22
270 340 299 214 187 196 193 157 179 204 218 210 189 162 129 94 68 45 28 21 17 14 11 8 5 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 2 6 11 13 14 15 14 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 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 5 5 5 5 5 5 5 4 6 7 7 7 8 8 7 7 7 7 10 12 14 20 32 49 68 82 73 64 51 42 31 22
220 203 135 55 60 153 240 278 264 237 223 200 174 150 123 90 58 35 21 14 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 4 8 8 7 6 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 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 4 5 5 5 5 6 7 6 6 5 6 6 7 8 8 8 8 7 7 7 8 10 12 16 23 33 48 70 88 89 72 62 53 40
140 103 64 28 38 116 248 332 327 285 245 218 191 160 134 110 81 52 33 22 16 13 9 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 1 4 3 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 1 1 1 2 2 3 3 3 4 6 6 6 6 5 7 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 9 10 12 17 23 40 70 99 109 98 87 79 65
95 74 59 60 84 122 242 298 302 275 244 224 202 171 144 124 104 79 57 40 29 23 20 15 9 7 5 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 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 5 5 5 4 5 6 7 7 6 7 9 8 8 8 8 8 8 8 9 10 9 10 9 9 9 9 9 10 14 20 33 65 108 126 120 109 99 90
53 45 46 61 81 103 158 215 224 225 224 220 208 189 160 136 119 104 82 63 48 38 32 26 23 20 18 12 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 0 0 0 0 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 4 5 7 7 7 6 5 6 7 7 6 8 8 8 8 8 10 11 10 8 10 11 11 11 11 11 10 10 10 9 11 16 21 46 85 114 123 116 117 107
19 17 16 15 19 45 55 91 120 171 205 213 209 195 171 157 140 121 104 87 72 58 46 40 42 38 32 23 16 11 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 0 0 1 1 1 0 0 0 0 0 0 1 2 1 1 3 6 10 10 12 17 18 14 11 9 7 7 7 7 6 7 8 8 8 9 9 9 11 14 11 10 10 11 12 13 13 12 12 11 10 10 13 16 28 50 78 114 121 132 120
2 2 3 3 3 7 15 18 45 104 163 209 234 220 200 180 156 137 123 112 101 84 65 58 62 54 44 34 27 21 15 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 8 5 5 2 0 0 0 1 5 10 10 12 17 20 26 35 45 53 50 38 28 21 16 9 10 7 6 8 9 8 8 9 9 10 10 10 11 11 10 11 12 13 14 14 13 13 12 12 12 13 17 24 39 73 104 138 146
0 0 0 0 0 7 23 13 12 30 76 118 118 139 204 202 208 186 153 147 142 110 85 78 70 63 53 43 36 31 27 20 16 14 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 2 11 23 20 13 11 5 2 4 7 10 14 18 21 25 29 34 52 71 75 81 78 69 55 42 36 12 13 9 8 8 8 8 8 7 8 9 9 10 10 11 12 11 10 11 14 13 14 13 13 12 13 14 17 20 23 32 69 117 140
0 0 0 0 1 9 30 15 24 41 40 28 19 20 12 65 104 73 69 115 124 77 68 65 64 60 52 39 34 33 31 26 18 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 16 33 36 25 16 13 12 11 12 15 20 24 29 33 35 45 63 81 90 93 94 91 79 66 62 45 32 21 13 8 6 7 7 8 8 8 8 9 9 10 12 12 12 11 14 14 14 13 13 12 13 17 17 18 18 21 36 64 98
1 1 1 1 1 4 11 5 10 14 9 3 2 2 1 1 1 0 1 1 2 8 17 22 31 35 38 34 34 36 32 28 23 20 10 2 0 0 0 0 0 0 0 0 0 0 0 0 3 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 0 1 20 48 55 36 24 24 27 24 24 29 34 39 45 51 60 72 88 107 118 120 117 118 102 88 79 67 58 43 25 13 8 7 7 7 8 7 8 9 9 10 11 13 12 10 12 14 15 14 13 13 13 16 17 16 16 18 22 37 68
1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 7 20 29 33 35 33 29 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 22 51 62 47 33 32 38 40 40 42 47 53 61 69 81 96 113 133 159 171 151 155 131 109 94 80 67 53 40 30 18 10 11 8 8 7 7 8 9 9 9 11 12 11 11 13 15 16 15 15 16 16 17 16 16 17 20 24 28
0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 10 5 1 7 17 26 33 30 18 7 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 4 23 58 69 59 43 39 45 50 50 49 53 61 68 80 96 116 143 162 184 218 192 194 180 158 133 110 95 84 69 56 42 27 24 20 16 10 7 9 8 8 8 9 9 10 11 12 13 16 17 17 17 16 16 16 16 17 18 19 22
0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 4 15 6 1 1 7 20 34 28 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 2 18 75 87 73 55 48 58 66 58 54 59 65 72 83 103 128 160 189 200 209 215 224 246 248 221 181 147 123 106 87 74 52 38 31 24 16 16 18 13 11 12 15 13 10 12 14 11 13 15 16 17 16 16 15 15 15 16 17 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 7 6 2 0 0 1 5 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 79 106 93 72 60 64 71 66 62 64 68 74 82 102 126 149 187 229 245 235 247 276 293 290 267 230 189 155 123 102 78 59 48 40 32 33 30 27 24 24 25 27 27 20 20 18 13 13 15 17 17 17 16 15 15 16 17 22
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 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 0 0 1 12 64 125 124 96 76 68 67 69 70 70 71 77 85 102 128 151 189 247 265 261 277 299 317 332 342 319 265 232 187 146 112 85 69 61 55 43 38 33 29 28 29 30 33 34 32 33 30 22 15 13 15 17 17 16 18 20 24 40
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