Vorticity
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nan 7 7 7 8 8 9 9 7 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 5 3 2 2 3 4 5 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 nan
nan 6 6 7 8 8 9 8 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 8 8 9 8 8 8 7 6 6 6 6 6 6 6 6 7 7 6 5 6 6 6 5 5 5 6 5 5 5 5 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 10 nan
nan 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 9 11 11 10 8 7 8 10 9 8 7 6 6 6 6 7 7 7 8 8 9 9 10 9 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 nan
nan 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 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 6 6 7 9 12 13 13 13 16 19 19 17 14 10 7 6 6 6 7 7 7 7 8 9 9 10 9 9 9 8 9 9 10 10 11 11 10 10 9 9 9 9 10 10 nan
nan 7 8 8 8 8 8 7 7 6 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 7 9 11 14 18 24 27 27 23 17 11 7 6 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 nan
nan 7 8 8 8 8 7 7 6 6 7 7 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 8 12 17 20 22 22 19 14 9 6 6 5 6 6 7 7 7 7 8 9 9 9 10 10 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 nan
nan 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 7 8 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 9 10 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 7 9 11 13 13 12 11 9 9 9 8 7 6 6 7 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 nan
nan 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 9 12 15 13 11 9 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 8 7 nan
nan 7 8 8 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 8 7 7 7 7 8 9 9 10 9 9 8 8 7 7 8 9 9 10 11 11 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 8 9 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 11 14 16 16 14 12 10 9 8 8 8 7 8 8 8 9 9 10 10 10 10 10 10 11 10 10 9 9 8 7 7 6 nan
nan 8 8 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 9 10 9 9 9 8 7 7 8 8 9 8 8 7 7 7 9 10 10 10 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 10 11 11 11 10 9 8 7 6 6 7 8 9 10 10 9 9 8 7 6 6 7 7 7 7 8 9 9 10 10 10 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 10 11 13 14 16 17 15 13 11 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 nan
nan 7 8 8 8 8 7 7 8 8 7 7 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 9 7 7 7 7 7 8 8 8 8 9 9 11 12 13 13 12 11 10 8 7 6 7 7 8 10 10 10 9 7 6 6 6 6 7 7 7 7 8 8 9 10 10 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 9 12 15 17 18 17 15 14 14 14 14 13 11 10 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 nan
nan 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 8 8 8 9 9 9 9 8 6 6 6 6 6 6 7 8 9 10 11 12 13 14 13 12 10 9 8 8 8 8 9 9 10 9 9 7 6 5 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 6 7 8 10 12 15 17 19 21 23 24 24 20 15 10 8 8 9 10 10 10 10 11 11 11 10 9 8 8 7 8 nan
nan 6 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 7 5 5 4 5 5 6 8 9 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 10 9 8 6 5 4 5 6 6 7 7 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 8 11 15 19 23 26 26 25 20 12 6 5 7 8 9 10 10 11 11 12 12 11 10 9 8 8 8 nan
nan 6 7 6 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 8 9 8 8 8 8 8 8 9 9 9 7 5 4 4 5 6 7 8 9 10 10 11 11 11 10 9 10 11 12 13 13 14 14 12 9 7 5 4 4 4 5 6 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 10 9 9 9 8 7 6 6 6 5 5 5 5 4 4 4 5 6 7 9 10 13 16 18 17 13 5 -2 -2 2 5 8 9 10 11 11 12 12 12 12 10 9 8 8 8 nan
nan 6 6 6 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 10 11 10 7 6 5 5 6 7 8 8 9 9 8 9 9 8 8 9 11 13 15 14 14 13 11 9 6 4 3 3 4 5 6 7 7 7 7 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 6 5 5 5 5 5 4 4 4 5 6 7 7 8 8 9 9 7 -0 -9 -11 -5 1 6 8 10 11 11 12 12 13 13 12 11 10 9 8 8 nan
nan 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 9 9 10 12 12 11 9 6 5 6 6 7 7 8 8 7 8 8 8 8 8 9 12 14 14 13 11 9 6 4 2 2 3 4 5 6 7 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 6 6 6 7 6 6 5 6 6 6 6 7 7 8 8 6 2 -6 -11 -8 -1 5 8 10 11 11 11 12 12 12 12 12 11 10 9 9 9 nan
nan 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 10 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 11 11 10 8 6 4 3 3 3 4 6 6 6 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 5 -0 -6 -6 1 9 13 13 12 11 11 11 11 11 12 12 11 10 10 9 9 9 nan
nan 7 6 5 5 6 7 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 9 9 9 9 8 8 7 7 7 6 5 6 7 8 10 10 10 9 8 8 7 7 6 5 5 6 6 7 8 8 8 8 8 8 8 7 6 4 2 2 3 5 6 8 9 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 8 7 5 3 3 8 17 22 22 19 15 13 12 11 10 11 11 11 11 10 10 9 9 9 nan
nan 7 7 5 6 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 9 8 8 8 8 6 5 5 5 6 7 8 9 8 8 9 9 8 7 6 6 6 5 5 5 6 7 7 6 6 7 6 5 3 3 3 4 6 8 9 10 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 10 14 22 27 27 24 21 19 17 14 11 9 10 10 11 11 10 10 10 10 10 nan
nan 7 7 6 7 8 9 8 8 8 8 7 6 6 6 7 8 8 8 8 9 10 9 9 9 10 10 9 8 8 9 8 5 4 4 5 5 7 8 8 8 9 10 10 9 8 8 7 7 6 5 4 4 5 5 5 5 5 5 4 3 3 5 7 8 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 10 13 17 20 21 19 17 18 19 17 13 9 7 8 9 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 10 10 9 9 9 10 9 9 8 8 9 8 7 5 5 5 6 7 7 7 8 9 10 11 10 9 9 9 10 9 7 5 5 4 4 4 3 3 3 3 3 5 7 8 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 9 10 10 11 10 10 9 9 9 8 8 7 7 7 7 6 7 7 7 7 8 9 10 11 12 12 11 10 10 11 13 12 9 6 6 7 8 9 10 10 11 10 10 10 nan
nan 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 7 8 7 6 6 7 8 10 10 10 10 10 10 11 10 8 7 7 7 6 5 4 3 3 4 4 6 8 8 8 7 6 6 7 8 9 9 9 9 8 7 7 8 9 9 8 8 7 7 6 6 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 8 7 7 6 6 7 7 8 8 10 10 10 9 8 7 6 3 1 1 2 2 -1 -1 3 5 7 9 10 11 11 11 11 10 nan
nan 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 9 11 11 10 9 8 6 5 5 6 7 9 9 9 9 9 9 9 8 8 9 9 10 9 7 6 6 6 5 6 6 7 7 7 6 6 6 7 8 8 9 9 9 9 8 7 8 8 9 9 9 8 8 7 7 7 7 6 6 6 7 8 9 10 10 11 11 10 10 9 9 8 7 6 6 7 7 8 10 11 10 10 9 8 7 3 -3 -8 -10 -9 -11 -12 -6 1 5 8 10 11 12 12 11 11 10 nan
nan 7 8 8 8 8 8 7 7 7 6 5 6 7 8 8 9 9 9 9 9 8 9 9 8 8 7 7 7 7 8 9 10 10 10 10 8 6 5 5 6 7 8 8 8 9 9 9 9 8 8 9 10 10 10 9 8 8 8 7 5 5 5 6 6 6 6 6 7 8 8 9 9 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 7 7 7 8 9 11 10 10 9 8 8 7 1 -4 -8 -10 -9 -11 -9 -1 5 8 10 11 11 11 11 10 10 9 nan
nan 7 7 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 9 7 7 8 9 9 9 8 9 9 8 8 8 8 9 10 10 7 5 5 6 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 6 5 5 5 6 6 6 6 7 7 7 8 9 9 9 10 10 10 10 10 9 9 10 10 9 10 10 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 9 9 8 7 7 7 5 4 3 4 5 4 3 5 8 9 10 10 11 10 9 9 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 8 7 7 8 9 9 9 9 10 10 10 9 8 7 8 9 8 7 6 6 7 7 8 7 7 7 7 8 8 9 9 8 8 8 9 9 9 10 10 11 10 9 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 11 10 9 8 8 8 9 9 10 11 12 13 13 12 11 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 8 10 14 17 15 12 10 10 10 10 10 10 9 7 7 6 6 6 nan
nan 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 9 10 9 8 7 8 8 8 9 9 9 9 9 9 8 7 6 7 8 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 9 8 7 7 7 6 6 5 5 6 6 7 7 8 9 10 9 8 7 7 8 8 9 10 11 12 12 13 12 12 11 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 9 9 9 10 12 15 15 12 8 7 8 9 9 9 9 8 7 6 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 33 32 31 30 31 32 33 35 38 39 39 39 39 40 39 39 39 38 37 37 36 35 36 36 37 39 43 48 51 50 45 40 38 38 41 44 47 51 50 46 45 44 44 43 42 42 42 41 41 40 39 36 32 27 22 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 39 58 66 75 83 86 85 85 85 82 77 77 78 79 79 82 84 83 82 79 78 75 69 64 60 57 56 59 64 69 74 73 70 65 59 54 51 48 46 47 50 53 55 57 56 52 48 47 48 48 45 42
37 35 33 33 32 31 32 32 33 34 35 35 35 35 36 36 36 36 36 35 36 36 37 39 41 44 46 47 47 44 40 36 35 37 42 47 50 51 49 44 44 45 44 45 44 41 40 41 41 39 37 35 33 30 26 21 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 47 58 66 77 83 82 82 82 84 85 86 87 86 84 83 85 87 87 85 83 82 81 77 71 68 64 62 63 67 72 78 80 80 76 70 62 54 51 48 48 48 48 50 54 57 57 53 49 49 48 50 46
41 39 37 36 35 33 32 32 33 34 34 35 35 35 35 37 38 38 38 38 38 39 42 46 49 50 47 44 40 36 33 34 37 41 43 43 42 42 39 37 40 40 41 42 43 42 42 42 40 35 34 34 29 25 22 18 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 29 52 61 69 79 83 79 79 82 88 93 95 95 91 89 88 88 89 88 86 86 87 87 85 80 75 69 65 66 69 73 80 84 86 85 81 75 65 57 53 51 49 48 48 49 51 54 55 55 54 51 51 50
41 42 41 42 40 39 37 34 34 34 36 37 37 38 37 38 39 40 41 41 43 45 46 45 45 43 38 35 33 33 34 36 38 39 37 35 35 36 36 36 37 38 39 40 40 41 41 40 38 35 33 31 27 23 19 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 29 54 70 76 82 83 78 77 84 94 101 103 100 96 93 92 90 89 88 87 88 91 92 91 90 85 79 71 71 75 79 83 86 88 89 89 84 76 66 58 55 53 51 50 49 49 51 53 58 59 58 56 54
36 39 41 42 41 42 41 38 36 37 39 42 41 41 41 42 44 43 42 41 42 42 41 38 36 33 32 31 32 34 37 36 34 33 31 32 35 37 37 36 36 37 38 38 38 38 38 38 38 36 33 29 23 19 17 15 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 41 51 72 76 83 84 80 78 86 97 103 105 103 99 95 92 90 88 87 86 87 90 92 95 97 96 90 83 79 80 84 87 89 91 92 92 89 84 77 68 61 57 55 54 53 51 51 51 55 59 60 61 59
33 34 33 34 35 35 34 35 35 35 35 35 34 36 37 37 36 35 34 34 34 33 32 33 32 31 31 33 34 33 33 32 31 31 32 35 35 34 33 33 33 35 36 37 37 37 37 37 36 34 31 26 20 17 16 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 4 23 48 51 64 74 82 87 85 80 83 91 98 104 105 103 98 94 92 89 87 86 86 88 91 95 101 104 103 97 89 85 88 92 93 94 94 93 91 88 85 80 73 67 64 60 56 54 53 53 55 57 58 60 62
33 33 30 30 30 30 30 29 29 29 29 28 28 30 31 32 32 32 31 32 32 33 34 34 34 35 36 36 35 32 31 31 33 33 34 33 31 30 29 29 31 32 33 34 35 36 36 36 34 32 28 22 19 17 14 11 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 33 47 53 59 71 81 89 92 84 80 80 87 99 103 104 100 96 93 91 88 86 85 85 87 94 103 109 113 110 101 96 98 100 99 98 97 94 92 90 88 86 85 83 78 72 64 59 57 56 57 57 57 57 59
34 35 32 29 29 30 29 27 26 27 27 27 27 29 30 31 32 32 32 33 34 35 37 38 37 38 38 36 34 33 33 34 33 32 29 26 26 26 27 26 27 29 31 33 35 36 37 36 34 31 25 21 19 16 12 10 9 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 34 46 51 55 69 83 89 91 85 77 74 78 89 96 99 98 96 94 92 91 90 88 87 89 95 103 109 112 114 109 106 106 105 104 102 100 97 94 91 89 89 93 94 91 85 78 70 62 59 59 59 59 57 56
28 30 30 29 30 32 32 30 27 28 29 28 28 28 30 31 32 31 31 30 31 33 35 35 34 35 35 34 34 33 34 34 31 27 25 24 24 24 24 25 25 26 28 30 32 34 35 33 30 27 23 20 18 15 11 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 35 44 49 54 64 79 87 87 82 76 71 71 79 88 95 97 97 96 93 93 94 94 94 95 99 106 112 112 113 112 112 110 108 106 104 103 100 97 92 90 88 94 97 97 95 90 82 72 64 61 60 61 61 58
21 24 25 26 30 32 32 28 25 27 28 27 26 26 28 28 27 26 26 27 27 29 29 32 32 32 34 34 33 32 31 30 25 24 22 24 23 22 21 22 23 24 25 26 28 29 30 28 26 23 21 19 16 12 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 24 38 45 50 55 65 78 85 84 80 79 73 69 72 81 90 96 98 97 94 91 92 96 99 103 108 115 120 122 121 122 121 117 111 108 108 106 104 101 98 91 91 92 96 100 101 99 92 84 76 68 62 62 63 61
18 21 24 25 28 29 28 26 24 25 26 25 26 27 27 28 30 30 29 29 28 30 30 30 30 30 32 32 31 28 26 24 23 23 22 21 19 17 17 18 20 22 23 24 25 25 26 25 24 23 21 18 14 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 25 39 45 50 57 67 77 81 81 81 81 76 70 69 75 86 96 99 97 94 91 92 101 109 115 120 125 130 132 131 126 122 120 118 117 118 117 111 110 110 103 97 95 97 100 104 107 102 95 88 79 69 65 64 63
14 16 20 23 25 26 26 25 25 25 25 26 27 27 26 27 29 29 28 27 27 26 25 26 27 27 27 27 26 24 22 21 21 21 18 16 14 14 16 16 15 17 19 21 22 23 23 23 21 20 18 15 11 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 28 40 44 48 58 67 71 78 80 80 80 77 72 68 72 84 96 102 101 97 98 108 121 127 125 127 131 143 148 148 138 132 128 126 127 129 132 126 123 119 116 114 110 105 104 108 112 114 110 100 89 80 72 68 66
9 12 15 19 21 22 23 23 23 23 23 23 23 24 24 23 22 23 24 24 23 22 22 22 23 23 23 22 21 21 21 20 19 17 15 14 14 13 12 13 13 15 16 16 18 20 21 20 18 17 14 11 9 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 17 32 42 46 49 60 70 74 77 79 79 79 78 73 72 77 87 100 111 114 112 117 131 143 140 136 139 143 159 168 173 171 164 157 152 149 142 143 139 136 130 126 125 123 117 112 109 111 118 120 111 100 89 80 74 70
5 7 10 13 16 17 18 19 20 21 20 19 19 20 21 20 20 20 20 20 21 20 19 19 19 19 19 19 19 19 19 16 14 13 13 11 10 8 8 8 10 12 12 13 15 15 15 16 15 14 12 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 25 35 43 47 50 59 68 72 74 77 80 82 81 77 77 84 94 108 125 133 133 139 156 174 175 161 154 155 163 172 182 188 186 175 165 164 157 153 151 149 142 134 130 127 126 122 116 114 117 120 119 112 100 87 80 75
3 4 5 8 11 13 13 14 16 18 18 18 18 19 19 19 17 15 16 17 18 17 17 17 17 17 16 16 16 15 15 12 12 11 9 8 7 6 5 5 6 8 8 10 11 11 12 13 12 12 11 9 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 4 14 28 36 43 48 53 59 66 70 75 78 81 84 84 80 83 95 106 120 136 143 145 156 174 196 207 181 161 152 152 162 175 185 188 182 173 163 159 159 161 159 152 145 141 140 140 136 128 122 118 119 121 120 112 98 89 80
2 1 2 4 8 10 11 11 13 15 16 17 17 17 16 15 15 15 17 15 15 15 16 15 14 14 14 13 13 12 11 10 9 8 6 5 3 3 3 3 4 5 5 6 7 9 9 10 10 10 9 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 1 7 18 29 36 44 50 54 59 66 69 72 78 83 86 84 81 93 109 124 137 147 152 161 179 191 199 189 178 166 155 152 158 170 183 193 195 187 170 166 169 173 174 163 153 156 162 159 152 142 132 125 120 121 122 118 110 99 86
1 0 0 1 4 8 9 10 12 13 14 14 12 11 11 10 10 10 10 11 11 11 11 11 12 11 11 10 10 10 9 9 8 6 4 2 1 0 1 1 1 1 2 3 4 5 6 7 6 5 2 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 2 10 22 28 33 44 50 54 58 65 70 73 79 85 88 86 92 108 126 141 151 160 169 180 195 203 206 203 194 181 170 163 162 169 178 188 199 199 189 181 181 187 192 184 163 164 169 170 165 156 146 135 124 120 118 117 114 108 96
0 0 0 0 1 4 6 7 9 10 10 9 9 9 9 10 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 2 1 0 0 0 0 0 0 0 1 2 3 4 4 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 4 13 23 28 29 41 49 53 57 63 69 74 80 87 89 94 106 123 139 151 163 178 191 196 198 199 205 207 200 189 183 178 174 173 174 169 179 187 186 180 179 184 195 204 198 190 188 183 175 167 156 145 131 122 116 114 114 114 107
0 0 0 0 1 3 4 4 5 5 6 7 8 9 8 8 6 7 8 7 7 7 7 7 7 7 7 7 7 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 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 1 6 13 22 27 28 38 47 52 56 61 69 73 80 87 92 103 119 133 144 158 178 199 206 201 191 190 205 211 199 185 183 184 184 187 184 180 178 176 174 170 168 171 183 192 195 199 206 206 190 175 161 147 137 127 120 115 114 114 110
0 0 1 1 1 2 2 2 4 4 4 5 5 5 4 4 3 3 3 4 5 5 6 6 5 5 5 4 4 4 3 2 1 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 1 5 13 19 26 29 34 41 49 54 58 70 71 79 87 95 110 130 143 146 165 185 197 200 196 188 192 209 216 202 189 188 192 196 197 197 197 191 181 173 166 166 175 177 173 174 182 197 212 200 183 166 153 140 131 124 119 116 114 110
0 0 0 0 0 0 0 0 1 2 3 2 2 3 3 3 2 3 2 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 1 5 13 17 23 28 32 36 45 55 58 67 69 76 87 95 109 132 149 157 167 175 178 187 192 192 197 210 221 225 215 211 214 212 206 202 200 195 188 184 176 179 186 183 168 158 161 170 193 198 179 160 156 148 136 129 124 120 118 116
0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 6 12 17 21 27 32 33 39 48 54 60 65 73 86 95 105 128 151 163 166 167 167 179 191 194 190 190 203 225 228 229 227 218 206 199 199 197 190 190 188 189 192 190 179 162 153 154 172 176 163 152 152 153 149 144 138 129 124 119
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 0 0 0 0 0 0 0 0 0 0 0 0 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 11 16 19 24 30 31 34 41 50 55 60 69 80 89 98 116 139 156 161 163 165 174 187 192 185 178 195 218 230 233 229 219 206 198 198 194 191 195 197 194 189 184 177 164 153 151 163 168 166 161 158 157 157 157 154 146 138 130
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 18 21 27 32 35 38 47 50 55 64 72 81 91 102 124 140 151 160 165 170 180 190 188 190 208 224 231 234 229 215 204 199 201 202 206 206 205 199 191 180 168 160 159 159 164 168 167 165 160 156 157 163 163 158 151 147
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 16 19 23 29 36 42 47 49 52 58 64 73 83 90 111 127 142 155 163 166 175 189 194 205 219 226 229 234 231 218 216 215 213 214 223 222 214 206 197 185 169 163 164 166 167 166 164 165 161 159 158 164 170 169 164 163
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 11 15 17 22 29 37 43 45 47 51 58 61 67 74 87 105 126 145 159 166 174 185 198 211 215 215 222 237 250 246 236 228 224 220 216 215 222 227 220 206 190 177 169 170 177 175 164 161 166 174 173 172 181 191 191 185
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 17 22 28 36 41 42 46 51 56 59 62 68 81 99 119 141 157 164 169 184 205 220 219 214 222 244 264 262 251 234 219 212 213 218 229 232 226 215 200 185 177 176 179 178 172 167 169 181 187 184 188 195 200 202
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 16 21 28 36 44 44 50 56 60 63 62 63 74 92 117 140 152 158 167 186 210 223 220 215 224 248 273 278 265 245 228 223 230 231 235 236 231 219 204 194 189 185 184 184 182 178 177 183 193 195 195 193 192 200
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