Vorticity
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nan 6 6 4 4 7 12 15 19 22 18 12 5 8 11 6 5 8 12 14 10 9 10 8 8 11 14 16 16 9 5 6 9 9 10 11 10 17 22 12 12 8 15 9 -1 -1 0 1 12 12 4 5 9 11 9 9 11 15 11 2 -1 2 9 8 5 5 11 12 2 -1 8 15 10 1 -6 -7 -2 6 12 15 13 8 -1 -8 -3 5 6 11 22 25 19 13 9 11 12 12 10 8 6 6 11 14 14 11 7 7 9 9 5 1 0 5 11 15 15 14 19 25 24 18 10 4 -0 3 13 16 17 16 12 11 19 20 11 -1 -1 5 5 2 -0 -1 10 22 20 11 5 2 1 4 7 9 9 8 11 15 16 12 7 3 2 5 5 5 4 5 6 6 7 7 nan
nan 12 8 5 3 4 8 16 21 24 20 12 6 10 16 13 9 8 9 10 10 8 8 7 3 2 2 5 8 7 5 5 6 7 10 11 9 11 11 11 14 16 27 8 -11 -3 3 7 16 11 3 7 13 13 11 10 14 19 17 8 -5 -7 2 6 5 6 13 12 5 3 14 15 6 -4 -9 -5 5 11 15 16 13 4 -6 -9 -3 4 12 22 28 25 18 14 13 15 18 16 12 7 3 3 5 10 13 13 11 6 3 9 15 17 13 8 6 10 11 11 13 22 29 28 22 14 1 -1 8 11 12 13 11 11 20 22 12 2 0 4 5 5 4 -4 -5 7 11 9 6 4 1 2 5 7 8 7 8 11 10 8 5 4 5 6 5 4 4 5 6 7 7 8 nan
nan 14 7 3 5 4 6 11 15 17 15 11 10 15 20 16 11 7 5 7 8 9 11 9 2 -1 3 7 8 7 4 6 7 9 9 10 8 8 8 8 8 17 21 6 -3 7 11 14 18 14 6 5 10 12 12 8 10 15 17 13 6 -2 -5 1 5 9 10 4 0 6 12 12 5 -1 -5 3 16 17 11 10 7 -2 -6 -1 5 10 19 30 31 21 15 17 19 22 22 19 16 10 5 4 3 9 15 14 10 4 1 6 13 19 19 10 0 2 8 8 8 13 22 28 27 23 13 10 14 14 11 9 6 12 22 21 9 2 4 4 3 6 7 1 -7 -5 0 2 4 2 -1 0 3 5 6 7 7 7 5 3 4 5 5 5 3 2 3 6 8 9 10 10 nan
nan 13 5 -1 11 10 9 6 7 8 8 8 14 18 18 13 11 9 5 4 5 9 11 7 4 5 12 13 8 7 7 4 3 6 9 11 11 11 8 6 10 15 12 9 12 14 14 21 24 17 6 2 7 11 8 3 6 13 12 14 17 6 -5 -3 6 10 7 -1 -3 4 8 7 6 4 4 12 19 16 7 -0 -4 -5 1 10 13 13 21 29 28 19 13 16 17 17 17 20 22 18 11 9 8 11 14 12 10 8 8 8 9 13 16 10 2 3 6 7 7 8 14 19 23 24 20 17 14 13 12 9 10 21 27 18 7 5 10 8 5 6 8 5 -1 -3 1 3 4 3 0 1 4 7 10 11 10 7 5 6 8 9 8 5 2 2 2 5 8 11 14 14 nan
nan 6 -1 7 12 8 7 4 1 3 5 5 9 12 12 12 14 13 5 2 7 12 12 4 8 12 14 13 9 7 12 9 -2 1 6 11 12 8 9 8 7 7 7 12 14 10 7 15 19 14 8 6 11 10 3 5 13 17 12 9 9 6 4 6 11 12 9 1 1 4 6 3 3 5 12 17 16 10 1 -11 -13 -2 12 21 18 15 19 20 18 12 11 14 11 8 9 17 26 27 22 19 18 15 10 7 9 10 11 8 7 10 12 10 7 6 6 6 6 7 9 14 18 20 20 15 8 5 6 7 15 25 24 11 4 8 14 15 10 8 6 5 3 2 7 12 12 9 5 3 7 11 13 13 11 7 6 6 9 11 11 10 7 6 6 9 12 13 13 12 nan
nan 0 1 16 7 -1 4 8 2 2 7 10 9 7 6 11 15 14 8 3 10 15 13 3 8 13 12 9 9 11 20 26 15 -2 4 10 7 5 7 5 2 6 9 10 12 6 3 2 5 4 5 4 7 9 7 8 16 19 12 3 1 4 10 14 12 10 9 5 5 7 6 2 2 7 17 19 12 2 -8 -13 -9 7 23 27 20 14 14 10 9 9 11 11 5 3 6 13 22 26 27 28 27 22 12 6 7 9 11 9 9 8 10 10 8 5 5 5 5 5 7 10 15 19 19 14 6 2 1 4 11 14 11 5 2 8 13 16 12 7 6 4 3 4 9 17 21 18 13 10 11 12 12 11 9 7 7 7 9 12 14 16 16 14 13 13 13 11 8 5 nan
nan -5 3 20 6 -0 12 22 7 -3 -0 7 11 7 6 10 13 13 9 8 15 19 14 4 8 11 4 4 9 14 21 30 16 3 13 12 6 2 5 9 7 17 10 9 15 5 5 4 -0 -3 -0 1 3 8 10 9 11 11 7 4 5 8 10 10 7 5 8 9 9 10 7 5 6 11 15 15 10 1 -6 -5 2 14 26 26 18 12 9 4 3 7 10 8 3 2 6 11 15 16 17 21 22 20 13 8 8 9 12 11 9 9 11 10 8 6 4 3 4 5 7 7 11 17 17 13 10 8 6 5 4 3 5 4 2 6 11 14 11 7 6 4 5 5 9 17 21 21 18 15 13 12 11 11 12 13 14 15 16 17 18 19 18 15 12 10 7 5 4 3 nan
nan 0 9 17 5 8 27 29 12 -0 1 3 2 -2 0 7 12 12 11 11 16 16 8 5 7 11 7 7 8 10 12 12 7 14 18 13 9 5 13 16 15 16 3 6 15 11 7 5 2 1 1 3 6 10 9 7 6 6 7 9 13 13 9 5 5 7 9 8 7 7 8 9 10 9 8 7 9 10 9 8 5 12 23 21 14 11 5 3 5 4 5 2 3 4 9 10 12 10 8 8 12 14 12 10 10 13 15 12 10 10 11 10 8 6 4 3 5 7 8 7 7 11 12 11 12 13 13 11 5 1 3 3 0 4 10 15 13 9 6 5 6 5 6 10 13 12 10 8 8 10 12 15 18 21 24 24 22 20 17 14 12 12 11 9 7 7 8 10 nan
nan 10 15 8 3 14 30 20 13 8 9 7 1 -2 -0 7 12 13 11 11 12 12 7 7 7 11 10 9 8 8 7 5 9 14 10 7 12 12 20 13 11 10 4 -2 8 11 4 3 7 7 5 9 11 10 7 5 5 7 11 12 11 12 8 5 6 10 9 3 1 4 6 7 5 5 6 7 12 21 22 12 2 6 16 16 14 12 7 9 9 2 6 8 8 7 7 8 12 14 11 6 6 9 10 10 14 18 19 14 10 10 10 8 6 5 6 8 12 13 12 10 8 9 10 10 11 14 17 18 13 9 7 7 4 5 11 16 16 11 5 4 5 4 2 3 5 4 2 2 5 9 12 16 20 26 29 27 23 18 15 14 16 18 18 16 15 15 15 16 nan
nan 13 15 7 9 21 31 16 5 6 7 6 6 11 13 13 13 13 11 10 12 17 19 17 12 6 5 8 9 7 5 5 11 17 13 7 8 14 20 6 6 12 6 -3 2 4 -1 0 10 11 10 12 12 9 7 8 8 8 11 10 4 -1 -1 3 6 8 5 2 0 2 4 4 5 8 8 9 13 18 15 3 -5 1 11 13 14 13 11 17 11 2 6 12 8 4 3 7 12 18 20 16 9 6 5 7 12 18 17 12 9 9 8 6 3 3 7 13 20 21 20 18 15 14 14 15 15 16 19 23 21 17 14 14 13 14 19 21 19 14 5 2 -0 -1 -2 1 5 7 7 8 9 11 12 15 20 25 28 25 21 20 19 19 21 22 21 20 20 19 18 17 nan
nan -6 4 7 15 22 24 17 9 10 7 8 11 15 16 14 13 12 10 7 6 10 19 21 15 4 2 2 3 3 4 4 11 22 22 13 6 11 13 13 10 15 7 -1 -2 -0 -5 1 12 11 12 13 13 13 11 6 2 3 7 3 -4 -8 -5 2 6 7 5 3 1 2 7 11 12 12 9 8 7 5 1 -4 -1 6 11 11 12 12 13 16 5 -6 -1 8 4 3 7 11 12 16 21 23 18 10 4 3 5 8 7 5 5 6 5 3 2 4 8 14 21 26 28 27 25 24 23 22 21 20 21 26 28 24 20 17 18 23 27 26 21 14 3 -13 -19 -12 -3 5 10 12 15 15 13 12 14 16 19 21 22 20 17 16 15 14 13 14 15 15 16 15 15 14 nan
nan 5 7 2 3 6 10 12 10 8 7 9 12 12 11 10 10 9 8 6 1 -1 8 15 13 11 9 1 -3 1 3 4 9 19 23 16 7 1 6 16 11 19 10 -2 -6 -3 -4 3 13 15 13 13 16 19 12 -1 -4 3 5 1 -2 -1 1 2 2 3 3 2 0 2 9 15 15 12 11 13 9 3 -5 -2 6 11 12 10 9 10 13 13 1 -9 1 7 7 9 13 12 10 11 15 20 24 19 9 2 -2 -2 -2 -1 1 3 3 2 3 5 9 13 18 23 27 27 25 24 24 22 17 16 21 31 35 29 21 18 19 25 31 28 21 13 -2 -30 -36 -17 0 10 12 14 17 14 11 10 13 16 17 17 15 12 10 8 6 5 6 7 9 9 9 9 9 9 nan
nan 24 13 -0 -5 -1 4 6 5 5 9 11 13 12 10 8 6 6 7 8 7 6 6 10 12 17 20 8 -2 1 2 6 8 13 19 17 10 -0 3 6 5 13 11 -3 -7 -3 -1 5 17 22 17 14 17 21 11 -1 1 7 8 4 2 4 5 4 1 -1 1 2 2 5 9 8 5 2 9 14 16 8 -3 -6 1 10 10 10 9 10 12 13 8 2 7 7 8 12 14 11 7 6 10 14 22 25 18 8 2 -1 -1 1 3 4 3 2 2 6 9 11 13 16 16 14 12 13 15 13 9 10 17 27 32 24 16 17 21 27 30 26 18 9 -8 -32 -31 -9 4 12 15 15 13 9 7 7 11 14 15 13 10 7 5 4 4 5 7 8 8 8 7 7 7 8 nan
nan 8 -3 7 11 6 2 1 1 7 12 11 10 12 11 6 5 5 5 8 10 11 9 6 10 16 17 9 6 5 4 8 10 10 17 23 18 4 -2 0 4 6 5 -4 -5 -1 3 9 17 21 17 13 15 17 9 2 5 9 9 7 6 6 6 6 6 6 6 8 9 11 9 4 1 -1 2 7 9 3 -4 -4 6 13 11 11 9 8 8 11 14 8 5 6 11 13 14 12 6 5 8 11 17 24 24 19 12 9 8 7 6 5 4 2 2 6 9 10 10 11 10 8 6 6 8 10 9 9 14 18 19 14 11 15 21 27 27 18 7 -2 -10 -15 -10 1 7 12 15 14 10 6 5 8 12 14 13 10 7 5 5 6 7 8 8 9 10 9 8 8 8 8 nan
nan 13 13 16 16 6 12 2 -6 4 15 9 5 8 9 11 12 11 7 3 4 6 7 5 9 12 9 5 8 9 7 9 12 10 11 24 25 8 0 3 5 2 1 -2 -1 3 7 10 9 10 11 10 8 8 6 4 6 8 9 9 10 9 10 10 11 12 12 14 14 13 10 6 6 7 3 -0 -4 -4 -1 4 12 10 8 10 7 5 4 10 12 7 4 5 9 13 15 13 9 7 8 9 12 18 24 24 22 20 17 12 6 2 -0 -3 -3 2 7 10 12 12 11 10 9 7 6 7 7 7 9 11 9 8 11 14 16 19 20 9 -3 -6 -4 -1 1 5 8 10 12 11 8 5 6 9 13 14 11 8 6 5 7 8 9 9 9 9 9 9 9 9 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 nan nan nan nan nan nan nan nan nan nan 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
102 116 113 108 107 110 113 112 110 107 108 121 132 128 122 118 112 103 96 91 87 86 91 100 109 122 145 164 168 163 150 127 104 86 75 73 77 83 86 84 78 70 62 53 43 35 29 27 24 19 16 20 28 34 35 32 27 30 36 40 36 22 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 96 102 99 103 108 108 107 106 105 103 108 124 128 128 125 117 107 100 97 97 100 110 120 128 140 162 169 164 157 145 124 100 84 80 83 89 87 78 68 58 50 43 40 37 33 29 27 26 24 23 25 30 34 33 29 30 38 43 41 33 21 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 68 74 75 86 106 114 108 103 101 98 98 110 122 125 123 111 102 100 100 103 109 118 128 133 147 168 171 166 157 142 122 102 92 94 96 89 74 59 48 41 38 39 39 37 35 32 30 30 31 30 31 32 33 32 30 38 51 46 33 23 15 8 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
40 48 52 52 63 92 116 110 101 97 92 94 105 115 116 112 99 92 93 96 100 106 116 125 132 146 165 170 166 153 139 123 108 100 97 88 66 51 44 39 37 38 40 40 37 35 36 32 30 31 34 37 38 36 34 35 50 69 50 26 15 11 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
37 41 42 36 43 71 98 103 99 96 91 95 105 111 108 100 91 85 84 87 92 99 109 121 134 148 161 162 152 140 131 122 110 96 80 63 48 43 42 40 39 38 37 34 33 35 37 31 23 24 34 40 41 39 36 40 57 73 49 19 9 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
35 38 39 33 34 58 84 95 97 99 95 98 109 111 104 94 84 76 72 76 84 92 105 120 134 144 146 140 130 126 124 117 101 83 66 53 46 44 44 41 37 35 32 29 30 34 36 30 23 25 36 41 41 38 37 46 60 64 43 20 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
37 38 38 36 32 49 75 90 98 103 103 102 112 113 102 90 77 65 60 66 76 86 101 121 132 130 122 114 114 120 119 105 87 72 61 53 48 44 41 37 34 33 33 34 36 35 33 33 33 34 38 41 41 39 42 53 62 56 38 18 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
42 42 42 38 33 37 64 86 100 108 108 103 106 108 100 83 66 57 56 61 68 80 100 124 130 114 99 96 107 116 111 94 78 67 58 49 43 40 38 36 36 38 41 48 49 38 31 33 38 38 40 44 46 44 48 55 58 46 28 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
50 48 46 41 35 34 51 89 106 111 107 100 98 102 95 75 56 52 55 59 62 74 96 119 122 101 86 94 111 118 109 92 76 65 52 41 38 36 36 39 43 48 56 64 63 46 32 30 34 39 46 51 52 52 55 54 54 39 20 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
60 57 51 44 37 35 52 92 116 115 106 100 100 101 91 71 55 51 54 56 57 66 81 96 100 88 84 101 121 124 113 97 81 64 48 39 36 34 36 43 51 58 65 69 65 52 36 30 36 47 54 56 58 63 66 61 57 36 12 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 1 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
75 70 58 50 44 42 60 98 126 125 112 109 112 107 92 73 59 53 53 54 56 58 64 73 79 80 88 109 128 130 121 105 84 63 49 40 35 32 34 43 55 64 68 67 62 53 43 41 50 60 61 64 73 80 80 68 48 24 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 1 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
84 82 70 60 56 56 71 108 134 134 123 120 123 117 97 76 62 56 55 58 61 61 58 63 69 76 90 110 125 126 116 100 77 60 49 41 34 29 30 39 54 66 71 68 61 55 54 59 67 69 69 78 89 87 79 58 28 11 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 1 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
63 67 69 66 65 67 82 117 137 136 130 129 132 123 100 76 63 57 58 62 66 66 61 63 68 68 77 94 106 106 97 83 67 57 50 42 33 28 28 35 49 64 74 71 63 59 64 71 75 75 80 90 83 69 60 38 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 51 58 61 64 74 91 118 131 130 128 128 126 113 91 70 60 56 56 61 65 67 67 68 68 66 68 78 86 86 80 72 64 60 54 44 35 30 29 33 44 59 70 70 63 61 68 76 79 83 87 83 63 50 28 12 5 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
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48 50 57 65 73 78 81 87 93 93 87 82 76 66 56 50 48 46 42 37 38 46 56 65 75 82 87 86 76 71 74 78 77 72 63 54 47 42 41 43 44 43 41 42 46 50 57 74 88 100 99 80 54 33 11 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
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65 63 58 58 62 64 63 65 65 62 55 47 41 38 37 39 41 41 40 40 44 53 66 74 79 86 92 90 82 72 71 80 90 90 81 69 62 62 63 60 53 47 40 38 40 40 39 50 78 99 88 67 35 18 13 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 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
58 60 57 54 53 56 59 60 58 54 49 44 41 39 38 40 42 44 46 48 52 58 64 66 68 76 82 82 77 76 81 92 100 101 91 80 76 74 67 56 52 59 62 55 47 39 32 36 61 87 80 55 28 10 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 54 54 50 48 50 53 52 49 45 41 41 40 40 41 44 47 52 57 59 59 58 58 58 60 67 74 78 81 89 99 107 109 107 102 96 90 79 63 50 51 66 76 68 51 36 26 26 42 58 54 40 29 10 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 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
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38 39 42 43 42 36 29 24 22 22 25 29 34 41 49 58 67 75 84 91 88 78 73 76 82 89 94 98 104 108 110 110 110 110 108 99 78 58 44 42 59 77 80 64 38 21 21 28 30 32 34 28 16 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 0
30 32 36 41 43 40 31 22 18 17 19 25 33 42 53 66 78 88 98 105 102 92 84 83 85 89 93 96 98 98 99 104 104 96 88 76 61 48 42 50 73 85 77 52 29 20 27 40 41 34 26 17 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 21 28 37 45 48 43 33 25 21 20 26 36 46 58 74 87 98 108 112 109 101 91 85 83 84 86 88 89 90 95 98 89 73 65 60 52 45 46 62 78 78 62 42 31 32 40 49 48 42 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 19 30 40 47 49 43 36 30 28 36 46 57 70 84 97 106 109 106 105 101 93 85 82 82 83 85 89 92 94 87 74 63 57 57 52 47 53 67 73 63 53 48 50 53 56 54 48 40 21 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
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