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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 14 13 10 9 7 3 1 2 9 14 12 7 6 6 7 7 6 5 5 7 8 9 9 10 11 11 11 10 11 12 11 9 6 4 3 3 4 5 6 7 8 8 7 5 4 4 3 3 4 5 5 4 4 5 5 8 10 10 9 9 9 10 10 8 16 28 28 20 13 11 8 4 1 2 7 12 16 17 13 7 4 5 8 10 10 7 5 4 5 6 7 8 8 6 3 2 3 5 4 4 7 8 2 4 10 7 4 3 4 5 4 4 6 6 7 8 6 6 3 1 1 1 1 2 3 5 6 5 3 2 3 5 6 4 2 4 8 10 11 9 17 17 6 2 2 5 6 8 7 4 5 7 6 1 -6 -6 -2 2 4 6 6 7 7 6 7 nan
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nan 12 13 12 12 12 10 7 5 2 3 6 6 3 3 6 9 9 6 6 7 9 12 14 14 14 15 17 16 16 14 10 7 6 5 5 5 4 5 7 8 8 8 9 9 8 6 6 8 10 8 6 5 6 6 6 6 7 7 6 5 5 7 8 8 8 9 11 12 12 11 8 6 8 12 15 14 11 9 8 9 12 16 23 27 26 18 12 13 14 12 11 9 9 9 10 9 7 6 7 10 13 15 16 17 17 17 16 12 9 7 8 9 8 8 8 8 10 10 9 9 9 10 15 17 16 14 2 -1 12 14 7 -0 -4 -1 4 4 3 1 0 2 3 3 4 5 7 9 8 7 5 6 7 7 8 9 10 9 9 8 7 7 7 8 8 9 10 11 13 nan
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nan 16 15 13 12 13 11 8 6 7 6 6 5 5 7 8 8 8 9 11 11 12 12 14 15 14 13 13 14 18 21 19 12 5 3 4 5 5 4 4 6 6 7 6 5 5 6 6 6 7 6 5 7 9 9 9 8 8 9 9 9 8 7 8 9 9 9 9 10 11 12 12 11 14 14 9 4 2 3 5 10 15 15 10 6 4 6 9 14 14 13 13 12 9 5 0 -1 -0 2 3 3 1 2 2 1 -3 -4 -1 5 10 10 8 10 11 10 10 10 12 14 13 11 9 5 -0 0 4 6 6 3 5 10 12 10 6 -1 -7 -6 -2 2 4 5 7 8 9 10 10 11 12 11 10 8 8 9 9 9 8 8 7 8 8 8 9 10 10 11 11 12 12 nan
nan 15 13 10 11 12 9 8 10 11 11 11 9 10 12 10 9 9 11 12 11 12 14 18 17 12 10 12 14 15 16 15 13 11 7 4 5 6 8 9 8 8 7 6 6 8 9 7 8 8 8 7 8 9 8 8 8 8 9 10 11 11 9 9 10 9 8 7 7 8 10 11 14 15 12 4 -1 -3 0 4 12 17 13 5 -1 -5 -4 1 8 10 11 13 12 9 5 2 0 -1 -2 -1 0 1 3 3 2 -1 -2 1 4 6 6 7 8 9 10 10 9 10 12 13 14 13 10 6 4 8 10 7 0 -0 4 8 9 8 6 1 -2 -0 3 7 8 9 11 12 12 13 12 12 10 9 8 8 8 7 7 7 7 8 9 10 10 11 11 11 12 12 13 14 nan
nan 15 10 8 10 11 9 10 14 15 13 11 10 11 12 10 10 12 13 9 4 6 11 14 11 6 6 9 12 12 12 12 15 17 12 4 1 7 11 13 13 12 9 7 8 8 6 7 9 9 8 8 10 12 10 9 9 8 8 9 10 11 12 13 13 12 9 7 7 7 7 8 12 13 8 2 -1 -1 5 13 20 16 7 -1 -5 -9 -8 -1 4 6 8 11 12 9 7 7 7 5 3 3 5 7 7 6 3 1 1 5 8 9 9 9 9 9 8 8 7 7 8 10 13 15 15 12 6 5 7 5 1 1 6 9 10 9 11 10 6 6 8 9 10 11 12 12 12 13 13 10 8 7 7 7 7 7 8 8 9 10 11 12 12 12 13 13 13 13 13 13 nan
nan 13 6 8 12 12 11 13 15 14 10 9 9 10 10 9 10 11 8 3 1 5 10 9 4 2 6 7 9 10 12 11 13 17 16 9 4 5 11 13 12 9 8 8 8 6 4 7 8 7 6 8 10 9 8 9 10 9 8 8 9 10 12 15 16 14 11 9 9 9 9 7 9 10 6 3 1 4 13 23 24 13 -1 -5 -3 -5 -6 0 4 7 12 15 15 12 11 12 12 10 8 7 8 12 13 10 4 0 1 6 11 14 15 15 15 16 15 11 7 5 5 6 9 13 16 15 9 3 3 5 6 5 7 11 11 9 8 9 9 9 10 10 10 11 12 12 12 12 10 8 6 6 6 6 7 8 9 11 12 12 13 13 13 13 13 13 12 12 11 11 nan
nan 3 0 9 12 7 9 14 13 10 7 6 8 10 9 7 6 6 4 3 4 8 10 7 4 6 7 6 8 9 10 9 10 13 16 15 9 8 11 11 11 7 7 7 8 8 9 10 8 7 7 8 8 5 6 9 10 10 9 9 10 10 11 13 13 12 12 11 11 10 10 11 11 11 8 3 2 6 16 23 18 4 -7 -5 1 3 2 4 5 7 8 9 10 11 12 13 12 11 10 9 9 13 16 15 11 6 5 8 11 12 13 15 17 22 27 25 16 9 6 4 5 8 13 15 14 9 7 8 9 9 6 4 5 7 7 8 8 9 9 10 11 11 11 10 9 9 8 7 7 7 7 7 9 11 12 14 14 13 12 13 12 12 12 12 11 11 11 11 nan
nan -1 3 10 7 2 11 19 16 9 6 6 7 6 5 5 5 6 6 7 10 12 13 9 7 9 8 7 9 9 9 9 10 12 13 13 10 11 12 12 10 8 6 7 9 10 11 12 11 11 12 12 11 10 12 13 11 9 11 14 16 15 12 10 8 10 11 11 10 10 11 14 15 14 10 4 2 6 15 21 14 -3 -10 -4 5 10 10 9 8 6 5 4 6 11 14 14 13 12 12 12 11 12 15 17 17 13 11 12 12 9 10 13 15 17 24 30 28 19 11 6 4 5 7 10 12 11 10 9 8 8 5 -0 -1 3 8 10 10 9 8 8 9 10 9 7 7 7 7 6 7 7 8 10 12 14 15 14 12 12 11 11 11 11 11 11 11 11 11 12 nan
nan 5 8 8 2 4 17 24 15 7 7 6 4 2 4 6 7 8 9 11 14 17 16 11 9 10 9 9 9 8 9 10 11 10 10 8 7 10 11 12 9 8 7 8 10 12 12 13 13 13 14 16 17 16 15 12 9 9 13 17 21 21 13 9 8 9 9 9 8 8 10 13 14 13 11 6 2 5 13 17 10 -4 -7 -1 8 14 15 12 8 6 8 10 12 14 13 13 13 13 13 13 12 11 11 12 13 14 12 13 13 11 12 12 11 10 12 20 28 25 17 9 5 4 3 5 8 9 10 9 8 6 5 4 4 6 9 10 10 8 7 7 7 7 6 6 7 7 7 7 7 8 11 14 15 15 13 11 10 10 10 10 11 11 11 12 12 12 12 12 nan
nan 9 10 8 2 6 16 18 11 8 9 8 7 7 9 11 11 12 14 16 17 17 15 12 11 10 9 9 9 9 9 9 9 8 8 6 9 12 12 11 9 7 8 9 10 13 14 14 12 12 12 14 16 16 15 13 12 13 12 12 9 6 5 6 7 7 6 6 8 8 8 9 11 12 10 7 6 7 12 14 10 2 -2 2 9 14 16 15 10 6 10 15 15 12 9 9 12 16 17 15 12 10 8 7 7 7 7 8 10 10 9 8 7 7 7 12 21 26 21 13 7 4 3 5 7 9 10 10 9 8 7 8 9 9 10 10 9 9 7 6 6 6 6 7 9 8 8 8 9 12 16 17 17 13 9 8 9 9 10 11 12 13 13 14 13 13 13 13 nan
nan 8 11 8 2 5 13 15 13 13 12 11 12 12 13 14 14 16 17 17 14 12 12 11 10 9 9 9 9 9 10 10 9 9 9 8 9 13 13 11 12 9 8 10 11 11 12 13 12 11 11 11 13 15 15 14 11 10 9 7 1 -2 6 13 15 13 11 11 12 12 12 11 11 12 10 9 9 10 13 16 13 7 4 4 7 11 15 17 16 10 7 8 6 4 4 8 13 20 23 20 13 11 8 7 5 4 3 2 4 5 6 7 5 4 5 9 18 26 24 18 11 6 5 6 7 9 10 11 10 11 10 10 9 8 8 8 9 9 8 8 7 7 8 10 10 9 9 12 17 21 21 18 12 8 7 7 9 10 11 12 14 15 15 15 15 14 14 14 nan
nan 4 6 5 3 7 12 15 15 14 12 11 12 13 14 14 14 16 16 14 10 9 10 10 9 9 10 10 10 10 11 11 11 11 11 8 7 9 11 11 11 8 8 10 9 9 9 10 11 11 10 10 11 12 12 10 8 7 10 12 15 16 22 26 26 22 20 18 17 17 18 17 16 15 14 12 11 11 14 15 11 8 6 5 6 9 12 16 17 14 5 3 1 -1 2 11 18 20 21 20 16 11 10 9 9 8 6 3 0 0 2 4 5 4 5 9 17 25 27 22 16 11 9 8 9 10 10 11 10 10 10 9 7 7 6 7 8 9 10 10 10 10 10 10 9 8 11 17 23 25 20 13 8 6 7 8 9 11 13 14 15 17 17 16 15 15 14 14 nan
nan 5 5 4 5 9 12 13 13 11 9 10 11 12 14 13 13 14 14 12 11 11 13 11 9 10 11 11 11 11 12 11 11 11 11 8 6 8 9 9 9 7 7 8 7 8 8 9 10 11 10 9 9 10 10 10 10 11 11 13 16 18 20 21 19 16 15 15 16 18 17 14 12 14 16 15 10 9 10 10 9 8 7 8 9 10 10 11 14 16 12 13 12 6 7 14 20 13 10 11 14 12 11 11 12 13 12 10 5 0 -0 1 4 6 7 8 12 20 27 28 24 17 13 11 10 10 9 8 8 7 7 6 5 6 6 7 8 10 11 12 11 12 11 9 8 8 11 15 17 15 11 7 6 7 8 10 11 13 14 16 17 16 16 15 14 13 13 13 nan
nan 9 7 8 10 12 11 11 9 6 8 10 11 12 13 13 11 13 14 14 13 12 11 10 8 9 11 11 12 13 12 10 10 11 11 9 8 8 8 8 8 7 7 8 8 9 9 10 12 12 10 9 9 10 11 11 11 10 8 8 9 9 8 7 6 6 7 9 10 12 10 6 4 7 10 8 6 5 7 10 11 12 11 10 10 9 8 8 12 14 13 15 18 13 12 10 9 6 4 8 13 14 12 13 15 17 18 18 14 9 5 4 6 8 8 7 7 10 17 23 23 19 14 10 10 9 8 6 5 4 4 4 5 6 8 10 9 7 7 8 10 9 9 9 8 7 8 8 7 6 5 6 7 9 11 13 15 16 16 15 14 12 12 12 12 12 13 13 nan
nan 10 12 16 16 14 11 10 8 8 10 11 9 10 12 12 12 14 16 14 10 8 7 6 5 7 10 10 11 11 10 9 10 11 11 9 8 8 8 9 10 10 10 10 10 10 11 10 11 11 9 9 10 11 12 12 10 9 7 6 6 5 4 3 3 4 5 6 7 7 5 3 3 5 5 2 2 3 7 9 10 11 12 11 10 7 8 10 12 11 10 11 14 14 14 9 4 3 4 9 12 12 12 14 18 20 23 25 24 20 16 14 13 12 12 10 8 8 10 11 12 13 12 9 9 10 9 6 5 5 4 6 8 10 11 11 8 5 4 5 7 7 7 7 7 7 6 5 5 5 6 8 9 11 13 15 16 16 14 12 10 9 9 10 11 11 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
64 73 87 95 89 77 62 46 34 28 30 48 65 70 68 61 56 49 39 29 21 20 34 57 71 73 72 74 81 82 69 50 36 26 21 21 22 21 17 12 10 12 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 89 92 96 93 78 56 35 21 18 27 47 65 66 56 46 38 30 21 16 14 17 29 48 60 64 68 74 79 77 64 47 35 29 26 30 31 25 18 15 15 15 14 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
117 110 100 97 96 85 61 33 17 15 28 49 64 59 44 31 26 17 10 8 11 15 24 34 41 49 60 70 73 67 55 44 38 34 31 36 38 33 28 25 24 21 18 15 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
128 126 112 100 96 91 76 47 22 15 26 46 57 51 35 24 20 12 5 4 6 10 15 19 22 32 47 59 61 54 44 40 40 40 37 35 34 34 35 36 34 29 22 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
128 133 118 100 93 94 89 69 35 15 22 40 51 45 33 25 22 15 5 2 2 4 6 7 8 13 25 39 44 41 35 32 36 43 46 42 36 36 41 42 39 29 20 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
124 126 107 85 80 93 102 87 54 26 25 39 46 42 35 32 30 26 16 8 4 3 4 4 2 2 8 16 25 33 33 28 30 38 48 51 48 48 49 45 38 26 19 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 112 88 63 61 83 106 105 79 52 42 43 39 36 36 39 42 42 35 25 15 9 7 6 3 1 2 5 12 21 29 32 30 32 39 46 53 58 55 43 33 23 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
109 101 76 56 55 78 109 122 105 80 61 46 34 32 34 40 44 46 43 37 31 24 19 16 13 7 5 4 6 12 22 29 32 31 35 45 55 62 56 41 28 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
98 107 88 71 70 88 114 129 113 89 66 47 35 32 33 35 36 33 30 29 32 36 38 36 27 15 9 8 11 17 23 26 29 32 38 51 56 56 50 36 23 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
70 99 96 86 88 100 113 114 100 79 62 47 38 35 33 31 27 21 15 13 16 27 40 46 38 23 16 18 20 22 22 24 28 33 42 54 57 51 42 28 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49 65 80 87 95 105 109 100 83 67 55 46 42 40 38 34 26 18 11 7 6 12 26 40 42 36 32 33 30 24 23 28 36 43 54 64 62 44 28 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 62 73 85 93 103 104 92 76 62 54 50 51 53 50 42 32 22 14 12 13 15 23 35 46 52 55 51 39 28 28 34 45 53 60 59 43 24 12 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
69 78 81 83 84 87 88 79 71 66 62 60 63 66 64 53 40 28 22 23 28 33 39 48 57 69 74 66 48 35 32 37 47 52 50 40 23 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
68 76 79 77 71 65 62 62 66 74 75 73 72 73 69 60 47 36 32 36 43 48 54 67 76 83 84 74 58 46 41 40 42 43 36 24 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
69 75 77 72 62 52 47 52 66 81 86 79 73 70 68 64 56 48 45 48 54 56 63 76 86 86 81 73 67 61 53 45 39 34 26 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
76 79 79 74 62 49 44 50 64 80 84 76 68 65 66 68 65 60 58 59 59 60 67 75 79 77 73 68 65 65 60 50 39 29 20 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
77 79 80 78 68 51 42 46 59 71 73 68 65 66 69 72 71 68 66 65 60 60 66 72 74 72 68 63 62 62 58 48 36 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
72 78 81 81 72 54 40 45 59 69 71 70 70 73 75 75 72 69 69 67 62 60 63 62 62 64 63 60 59 59 54 43 29 17 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
80 90 92 87 75 58 47 50 64 76 81 81 81 81 79 76 71 66 67 67 63 60 59 54 48 52 56 57 56 52 45 34 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
92 105 102 92 77 64 56 58 68 82 90 90 86 81 78 77 75 68 66 68 65 62 60 54 46 46 50 52 49 43 34 24 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
85 95 94 85 74 65 60 61 67 77 86 84 76 69 68 72 76 74 70 71 69 66 61 55 49 45 46 45 40 31 21 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
59 64 70 74 73 70 66 63 62 65 68 66 57 53 54 60 68 74 76 75 75 70 64 56 48 43 39 36 29 20 12 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 48 62 75 83 82 74 63 53 49 50 50 48 44 42 44 54 66 74 78 79 74 67 58 49 40 34 28 21 15 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 60 76 91 97 90 74 54 39 32 32 38 43 41 33 28 39 58 72 79 79 76 69 61 51 41 32 26 20 15 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
75 86 98 106 101 84 61 40 28 21 19 27 37 40 35 30 39 60 71 76 77 74 68 60 50 42 34 27 21 14 9 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 102 108 105 88 67 46 33 25 19 15 23 39 50 47 39 38 45 52 59 68 68 64 58 48 41 34 27 21 16 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 4 8 11 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
92 100 98 86 69 54 42 35 28 21 20 30 49 63 54 34 18 12 18 38 58 61 58 53 47 40 34 29 26 21 12 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 6 8 10 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 79 73 65 55 48 44 38 31 28 33 46 61 66 46 19 4 3 13 31 50 59 61 58 50 41 36 34 33 26 14 7 4 2 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 48 48 46 44 43 41 34 29 37 52 65 68 54 30 8 4 11 24 34 44 55 66 67 57 47 42 40 36 26 14 8 2 0 0 0 0 0 0 1 1 0 0 0 2 4 7 11 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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