Vorticity
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nan 5 4 6 10 13 14 9 2 2 7 12 11 9 8 10 10 9 10 7 4 7 13 13 7 6 12 15 10 7 10 15 17 15 6 2 5 7 4 5 7 8 13 18 1 1 8 6 5 6 7 5 7 9 9 5 3 5 4 13 21 16 1 2 9 16 23 17 6 -0 1 9 8 5 4 4 4 7 12 18 18 14 13 12 8 0 -1 4 10 7 3 8 12 7 3 4 5 7 6 9 15 21 20 8 -4 -7 -4 2 7 11 11 6 1 -2 -1 1 3 5 8 12 13 11 9 9 8 6 4 7 11 12 10 9 11 10 5 -2 -4 -1 5 9 13 6 0 -1 2 4 6 7 8 7 5 6 9 14 17 16 11 7 7 7 7 7 8 9 11 13 13 11 nan
nan 5 5 5 9 12 13 10 4 2 7 10 5 1 1 5 7 9 11 9 7 10 11 10 8 11 14 15 12 12 7 7 11 11 8 6 8 10 11 5 5 2 10 9 3 7 4 3 8 13 11 9 9 14 12 8 6 10 6 6 6 11 6 6 6 8 10 10 2 -4 -0 12 14 12 8 5 2 2 7 13 16 11 9 4 0 0 13 11 5 2 3 12 17 18 9 6 6 8 8 8 14 20 20 7 -8 -11 -9 -6 -1 4 9 13 15 12 9 5 4 3 3 6 10 13 17 15 10 4 0 1 8 12 16 17 14 11 10 9 6 5 3 5 17 17 8 -1 -5 -1 3 5 5 4 4 7 12 18 22 19 11 5 5 7 9 9 8 8 10 11 12 10 nan
nan 6 7 7 8 11 12 10 8 6 7 7 4 2 2 4 6 6 7 8 7 7 7 8 9 11 10 11 12 9 6 3 5 6 8 9 8 14 20 12 9 6 11 10 7 1 -2 -4 5 13 12 13 14 16 14 12 14 19 17 3 -5 -0 7 6 5 5 8 10 2 -4 4 13 18 14 7 0 -1 4 10 13 15 10 3 -6 -11 -8 7 19 15 7 8 13 14 14 9 6 5 6 7 6 9 14 16 11 3 0 -1 -1 3 7 8 10 16 21 20 16 13 12 7 3 4 9 13 12 8 4 2 1 2 3 12 15 11 4 6 11 12 6 -0 -1 11 18 11 1 -3 1 4 4 4 4 4 7 13 17 16 14 11 8 6 9 10 10 10 9 8 9 10 11 nan
nan 10 8 8 7 11 13 13 13 13 12 11 8 5 5 4 6 6 7 9 9 9 10 9 4 1 3 6 9 6 5 4 4 5 9 11 9 9 10 12 13 11 10 7 5 3 3 4 14 12 5 7 17 19 14 11 16 23 23 12 -4 -9 -2 4 7 10 15 15 7 3 8 14 16 7 -5 -7 2 13 16 14 10 3 -5 -6 -4 -3 1 10 13 9 11 16 16 11 9 6 6 5 4 3 4 8 11 10 10 14 19 19 15 12 7 5 10 20 24 22 19 20 19 11 5 5 8 8 6 5 2 2 -1 -1 8 13 9 5 4 6 8 4 2 -0 7 13 6 2 2 4 5 5 5 4 3 5 10 12 11 10 13 13 12 11 10 12 12 12 10 8 9 11 nan
nan 12 10 8 8 10 12 12 16 19 16 13 14 16 14 10 9 8 8 10 10 12 13 11 3 0 5 9 9 8 6 7 5 8 11 14 10 8 6 9 9 11 8 4 7 11 11 14 20 16 1 -1 12 17 15 8 9 15 18 15 6 -4 -5 3 9 12 14 9 5 9 13 13 8 -2 -9 -1 15 22 17 9 0 -7 -7 7 22 25 21 15 12 12 18 23 19 15 12 9 7 5 4 5 6 9 10 8 9 18 26 24 15 8 4 4 6 12 17 17 13 16 22 19 12 8 8 10 12 10 4 3 2 6 12 13 7 7 9 5 4 4 5 6 7 9 4 3 5 5 5 6 7 7 8 8 9 8 8 9 11 13 13 13 11 12 13 13 13 12 13 13 nan
nan 7 7 6 10 7 8 7 12 16 13 10 17 22 20 16 17 17 13 9 7 10 12 6 3 6 13 12 8 8 8 5 4 5 11 14 14 12 8 8 12 14 10 8 14 13 9 21 26 17 1 -3 9 16 13 6 6 9 7 8 9 3 2 6 13 10 4 -1 3 11 12 6 1 -3 0 13 23 23 14 2 -9 -8 6 26 40 45 44 32 15 8 13 19 17 14 14 14 10 6 5 8 11 14 13 10 9 13 16 16 11 7 6 7 7 7 10 11 9 10 16 17 15 12 8 8 12 11 8 7 7 11 15 12 9 11 16 13 5 6 7 7 5 9 5 5 7 8 8 8 11 16 19 17 12 8 8 10 12 12 12 13 12 12 13 13 15 16 15 14 nan
nan 1 -0 10 10 2 4 7 8 9 10 7 9 11 13 16 20 19 11 4 6 12 12 3 6 7 11 11 9 9 13 9 0 3 8 11 11 7 10 10 12 10 6 10 12 8 1 12 19 13 4 1 11 14 8 7 12 13 6 2 1 4 11 20 20 9 -2 -5 6 13 9 0 -2 2 14 22 22 17 7 -7 -13 1 23 36 38 44 46 32 16 6 4 6 6 9 15 18 14 8 8 11 13 15 14 10 8 7 9 12 11 8 11 12 10 6 6 7 9 11 13 13 14 15 9 5 3 3 9 14 14 10 9 9 10 16 22 22 14 11 9 5 3 6 7 6 8 10 12 12 15 20 22 20 14 10 10 12 13 13 13 13 13 14 15 16 17 16 14 14 nan
nan -0 4 19 6 -4 1 8 6 8 12 13 9 6 5 11 16 15 7 2 9 15 14 3 8 9 8 8 8 12 20 23 16 4 7 9 3 2 3 4 8 9 9 9 9 3 1 1 6 3 3 1 5 10 9 8 14 16 10 3 1 5 14 24 19 5 -2 0 8 11 7 1 0 8 20 24 19 10 -2 -10 -4 17 34 34 21 26 34 27 20 15 12 9 4 8 18 20 13 7 12 17 17 16 14 11 8 7 11 16 14 11 14 12 9 5 5 8 10 12 14 13 14 17 13 7 2 3 12 21 18 6 -1 1 7 15 20 21 16 13 9 5 3 5 7 6 8 11 13 15 15 17 18 17 15 12 11 13 14 13 14 15 14 14 15 15 15 13 14 17 nan
nan -4 6 23 7 1 11 17 4 -1 5 12 13 9 7 10 12 12 8 8 15 19 15 7 10 12 3 3 8 13 19 24 16 9 13 9 1 -2 -1 4 10 22 12 10 11 -0 3 4 1 -1 2 3 4 9 10 9 10 11 7 7 7 9 11 12 7 2 4 8 10 10 6 4 7 12 16 15 13 9 2 0 7 25 35 24 10 15 25 22 20 20 20 18 13 12 18 15 9 7 15 20 17 17 15 13 11 13 17 17 14 13 12 10 9 8 8 8 9 11 13 14 16 16 12 9 8 10 17 21 15 5 -1 1 5 14 16 13 8 7 6 6 9 10 10 8 9 10 12 13 14 17 18 16 13 11 11 10 10 12 12 13 13 13 12 11 8 9 14 17 nan
nan 6 12 19 6 10 28 27 9 -2 -0 4 4 -0 2 6 10 11 11 12 16 15 8 8 11 13 5 6 7 9 11 10 7 13 14 10 6 2 6 9 15 21 7 8 12 6 4 3 0 2 3 6 10 12 8 5 6 7 7 8 13 15 12 7 5 7 9 8 7 6 8 9 10 9 7 4 9 17 16 12 8 19 27 13 7 14 22 20 19 21 21 20 21 20 20 11 5 9 16 19 16 15 15 14 14 17 18 14 13 13 12 11 10 10 8 5 6 9 11 12 12 11 9 8 10 14 18 17 11 5 6 8 9 13 13 8 2 1 3 8 14 15 12 9 9 9 8 9 12 16 17 13 9 7 7 7 7 9 8 9 10 11 11 8 6 7 11 12 nan
nan 7 10 7 3 13 26 18 12 6 7 6 1 -1 0 6 10 12 11 11 12 11 6 9 10 12 9 7 5 6 7 6 6 9 6 5 11 13 21 11 9 12 7 2 8 5 2 2 5 5 5 8 11 10 2 2 7 8 10 9 9 12 13 9 7 9 8 5 3 4 6 8 6 4 3 5 12 21 20 12 2 7 12 5 6 15 20 17 17 20 19 19 21 22 25 18 9 10 12 13 13 14 13 13 15 17 17 14 13 11 10 10 10 9 7 7 8 9 10 11 12 13 12 12 13 15 18 18 13 8 9 11 12 12 11 8 5 3 6 11 15 13 9 8 9 8 6 7 12 16 15 9 5 5 5 5 6 7 6 6 8 10 10 8 7 7 8 8 nan
nan 11 6 -4 2 19 29 14 3 6 9 7 4 9 11 11 12 13 11 9 11 18 19 17 12 7 6 6 5 5 5 6 8 11 8 6 7 17 25 9 4 13 10 1 4 3 1 4 9 9 9 9 9 7 3 5 7 7 13 9 -0 -4 -3 3 5 6 4 2 2 2 4 5 6 7 8 9 10 12 9 -0 -5 -3 1 3 9 15 16 14 13 17 16 13 12 12 21 27 16 10 7 10 12 13 10 11 13 15 15 13 12 9 6 6 8 9 11 14 13 12 13 15 18 20 19 18 17 18 20 21 18 14 13 15 18 18 16 13 11 11 13 13 10 6 4 7 9 8 9 13 20 22 14 7 6 8 7 5 4 6 7 7 9 10 10 10 8 8 8 7 nan
nan 17 8 -6 2 18 24 15 7 8 8 8 7 8 9 10 13 14 11 6 5 11 20 20 12 2 2 2 2 3 5 7 10 17 16 12 7 12 12 10 5 16 14 6 5 3 -0 7 13 11 10 9 9 9 7 3 -1 5 13 8 -2 -7 -4 0 3 6 7 4 1 1 7 15 15 14 10 6 4 2 -2 -6 -3 0 2 5 11 15 11 11 10 17 16 9 6 6 14 22 17 8 5 8 10 9 8 9 11 12 12 13 11 9 6 6 8 11 15 18 18 17 19 21 22 21 18 17 17 17 20 24 25 21 17 17 22 25 23 20 17 16 15 11 6 2 4 7 9 11 13 18 26 24 14 9 9 11 9 5 4 6 8 9 10 11 11 11 9 9 9 9 nan
nan 10 2 -4 0 6 10 13 8 5 5 9 12 11 8 8 10 12 11 6 -1 -3 8 13 9 7 6 2 -1 3 5 7 10 14 14 11 8 1 1 9 6 15 12 7 1 -1 1 10 15 14 13 10 9 11 8 -1 -2 5 10 8 3 5 8 5 2 4 6 4 -1 -1 7 19 21 14 8 9 7 2 -4 -3 2 8 7 6 11 14 10 11 11 19 20 9 6 8 12 17 17 7 4 4 7 9 9 9 9 9 10 12 12 11 8 8 9 11 14 17 20 23 25 24 20 17 14 11 10 10 16 24 29 23 15 13 18 24 24 21 18 15 12 4 1 3 5 7 10 12 15 20 24 19 12 9 10 10 8 4 5 8 10 10 9 10 10 10 10 9 10 10 nan
nan 10 5 3 3 2 4 6 5 4 7 12 17 18 14 9 7 9 9 7 6 5 6 9 10 13 15 7 3 7 7 8 11 12 10 9 7 -3 -3 3 3 4 7 -0 -6 -2 5 12 18 20 15 12 10 11 9 4 3 6 8 6 5 6 8 7 5 4 4 2 -1 0 6 8 4 -2 4 8 7 1 -3 -5 1 8 7 8 12 15 15 13 15 20 21 12 10 12 13 14 15 10 4 3 7 10 10 9 9 9 11 12 12 11 9 8 7 8 9 11 15 23 26 22 16 12 12 9 5 7 11 19 22 17 10 11 16 24 25 17 11 5 1 -6 -5 1 3 6 12 15 16 18 17 13 8 7 7 7 6 5 7 10 11 11 9 8 8 8 9 9 10 10 nan
nan 11 4 12 13 4 2 0 2 7 13 12 12 15 16 9 6 6 6 6 8 10 9 7 9 13 15 9 9 11 8 8 14 17 14 13 12 1 -4 0 2 0 1 -6 -6 2 10 15 19 19 15 11 10 10 9 5 3 4 5 4 3 3 5 6 9 10 10 9 7 7 6 -0 -4 -5 0 3 -2 -5 -2 0 8 10 8 11 12 17 18 13 15 16 16 13 13 11 9 10 11 11 5 5 7 10 11 10 10 10 11 11 9 7 6 5 3 2 2 4 8 15 21 20 14 10 11 12 9 8 12 15 14 11 11 15 18 23 21 10 1 -6 -8 -8 -6 0 3 6 13 19 18 16 12 9 5 4 5 7 6 6 8 11 13 13 10 7 5 5 7 9 10 10 nan
nan 17 17 18 11 -1 9 3 -4 6 16 9 4 7 9 11 13 13 9 5 5 7 8 6 8 11 10 5 5 8 5 8 17 19 14 20 23 8 1 3 3 3 2 -2 -0 7 14 17 15 13 10 8 7 8 7 4 2 3 5 4 4 4 5 7 11 13 14 14 12 10 7 3 4 7 3 -2 -9 -5 4 10 13 11 10 12 12 18 18 12 10 8 8 9 9 8 5 6 7 9 7 6 7 9 12 11 9 8 8 6 3 1 -1 -2 -3 -3 -1 3 7 12 17 18 15 9 8 11 11 10 13 14 12 13 18 19 14 14 11 3 -5 -8 -7 -4 1 7 8 9 13 21 20 15 10 7 6 6 7 9 8 7 7 9 13 16 16 12 5 4 6 8 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
66 90 108 109 106 109 106 96 86 81 81 86 90 91 89 94 105 115 116 102 80 60 47 39 36 34 33 34 37 42 48 54 61 66 63 54 44 37 34 33 32 32 40 52 59 49 32 23 24 27 24 20 16 12 11 10 8 8 7 5 8 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51 75 103 118 118 126 129 122 109 96 86 82 82 79 73 76 92 108 112 103 84 63 48 39 34 33 33 34 37 43 50 56 60 61 56 47 38 35 35 35 35 37 47 63 61 42 24 17 16 18 18 17 16 14 12 9 7 7 7 10 13 12 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 66 97 120 126 133 141 138 130 113 97 84 75 71 62 58 77 101 111 103 86 70 57 47 40 38 37 39 42 48 53 56 55 51 44 38 35 36 37 38 39 42 50 61 58 36 18 12 11 13 15 17 20 21 16 11 8 11 14 16 17 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 50 80 110 124 126 130 134 136 126 111 95 79 70 61 56 70 97 110 104 91 80 72 63 53 46 43 44 47 52 55 55 52 47 43 41 43 44 44 43 43 46 52 59 54 33 15 10 10 13 18 24 32 36 28 15 11 18 20 18 16 12 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
35 35 60 94 114 113 107 110 122 129 126 112 91 76 69 68 76 94 108 105 91 84 79 73 64 54 48 48 51 56 60 60 57 54 51 50 51 52 53 50 47 50 58 65 58 38 20 14 15 20 24 30 39 44 35 19 12 16 18 14 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
34 28 43 77 102 103 92 90 101 116 126 122 104 93 89 90 92 95 98 94 81 74 73 72 67 55 47 46 50 56 66 70 68 65 62 60 59 59 58 57 54 57 66 70 62 47 34 30 30 30 28 27 30 30 21 10 6 10 16 14 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
36 32 34 53 82 95 90 86 91 104 118 125 123 114 111 112 108 97 85 77 70 65 64 63 57 48 41 40 45 56 69 78 79 74 70 67 66 64 63 63 66 67 70 69 62 54 47 42 38 33 26 19 15 12 8 3 3 11 17 11 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
38 35 30 35 57 85 96 95 96 102 111 120 123 117 114 116 113 101 84 73 67 63 58 52 48 43 36 34 40 54 72 83 85 79 74 71 69 66 68 73 78 76 68 64 58 53 47 38 31 28 24 15 8 6 5 3 6 16 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 38 31 30 44 75 105 109 105 102 102 100 97 94 93 96 100 100 90 74 63 56 51 47 44 41 36 34 40 56 75 87 88 81 74 70 67 66 73 82 84 77 66 58 49 44 39 34 33 30 25 17 11 8 10 12 13 19 12 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
36 40 38 36 46 76 110 115 102 92 87 80 73 66 62 67 79 91 90 71 54 45 41 40 41 42 40 40 47 62 79 89 89 82 73 67 65 69 79 83 77 64 53 45 40 37 35 35 35 31 26 22 18 18 22 25 16 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 42 49 51 59 87 107 102 85 76 72 66 60 53 50 57 71 84 87 72 52 41 39 40 44 48 50 52 58 69 79 86 92 88 76 67 67 73 81 71 54 42 36 34 34 35 37 40 38 30 27 26 24 27 33 33 18 16 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
42 50 63 72 78 95 91 80 72 68 66 64 64 65 68 74 83 90 91 81 64 52 49 51 54 57 59 62 67 72 74 80 94 102 88 73 70 76 74 51 32 27 24 30 40 46 48 50 48 38 35 32 30 35 39 41 32 14 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
56 65 76 85 89 97 89 80 74 71 69 71 76 82 88 92 96 98 96 89 79 69 64 64 62 62 63 66 68 68 70 75 88 106 99 84 79 78 64 38 24 20 20 32 55 67 69 68 66 58 46 40 43 43 38 39 30 10 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
66 74 79 84 89 92 91 84 77 69 63 64 70 80 88 91 92 93 94 90 86 79 72 68 62 59 60 61 61 61 66 73 83 95 96 91 89 75 51 30 21 18 20 36 66 82 84 76 66 58 50 44 48 45 24 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 67 66 70 77 84 87 81 71 59 50 51 60 71 77 79 80 84 88 86 81 75 67 61 58 56 55 54 52 53 60 71 80 85 89 92 90 64 37 23 18 18 23 39 65 82 87 80 64 49 41 41 45 41 10 2 1 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
64 56 48 49 57 69 76 72 62 50 43 47 56 64 66 64 64 70 74 73 69 65 56 51 49 49 49 48 47 48 55 66 75 81 85 86 78 48 28 19 17 18 25 39 58 71 80 82 67 45 32 34 39 33 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
50 45 40 38 40 48 55 56 52 46 46 51 58 60 52 44 42 48 58 63 64 64 55 47 42 42 44 45 45 46 49 58 67 74 78 76 65 42 26 20 18 20 27 39 53 64 74 83 73 44 26 26 28 23 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
44 43 42 41 40 40 44 48 48 48 52 57 60 56 41 31 29 35 46 56 62 65 57 44 40 45 50 52 50 48 50 54 60 64 65 62 55 43 30 23 22 24 29 39 52 63 71 78 72 44 23 23 22 16 8 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
38 44 50 52 51 49 51 55 54 55 58 62 62 54 42 33 31 37 44 48 49 50 48 43 42 52 60 62 60 55 54 58 61 61 59 54 52 49 40 30 26 26 28 38 56 67 71 72 64 48 32 30 28 15 7 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
29 40 55 63 65 63 63 64 63 60 60 58 56 53 47 42 42 44 40 32 26 24 25 32 42 53 61 64 64 63 62 61 62 62 59 55 55 57 52 42 34 30 31 41 61 70 69 62 54 48 42 37 35 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
26 34 48 61 69 70 70 64 58 55 56 51 50 50 46 42 40 35 26 16 11 11 17 27 39 51 59 62 63 60 56 53 54 55 56 56 60 63 58 51 44 37 36 42 58 65 60 51 45 45 48 45 33 10 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
28 30 36 45 56 63 60 47 40 44 53 56 51 47 42 35 27 20 15 12 11 16 26 39 49 54 58 60 60 52 40 40 45 51 56 62 66 65 54 49 46 41 38 39 46 50 47 45 46 51 55 44 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 24 24 27 34 42 39 30 27 36 48 53 54 50 40 30 21 16 16 19 24 32 43 54 60 62 62 63 62 56 44 43 52 60 67 75 80 74 59 48 46 46 44 42 42 41 40 43 48 50 47 30 13 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
21 18 16 16 19 25 27 25 25 31 39 46 49 44 34 26 20 19 22 29 36 43 52 63 73 76 74 76 78 78 74 68 70 75 81 87 86 82 75 66 60 62 61 58 55 51 46 43 44 46 35 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 16 16 18 22 29 34 33 31 32 36 42 42 37 30 25 22 22 28 37 45 52 60 71 84 90 89 89 92 94 91 86 84 85 88 89 81 80 84 84 83 84 83 80 79 76 68 58 51 48 30 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
16 18 23 30 35 42 46 42 39 40 41 44 44 39 34 30 27 27 34 51 63 68 74 83 89 92 95 95 96 96 94 90 88 86 84 85 81 84 89 91 93 96 97 97 98 93 87 80 72 57 32 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
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