Vorticity
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nan 8 7 7 8 9 10 9 6 6 9 14 14 10 2 -3 -1 5 10 8 6 13 21 18 6 10 26 29 25 19 6 3 8 12 11 7 13 15 12 7 8 2 7 9 3 1 4 10 16 21 17 14 15 17 11 8 7 11 6 4 7 13 14 11 5 2 6 12 8 2 1 10 16 15 13 12 14 14 10 4 3 3 12 13 6 2 14 16 10 1 -1 9 17 16 6 2 1 1 2 5 7 7 8 7 6 6 7 4 -1 -2 6 14 17 14 12 11 14 13 13 13 10 8 11 13 11 11 15 13 6 2 9 14 14 10 5 2 2 5 5 6 6 8 8 8 7 10 11 11 11 14 16 16 13 16 18 17 10 5 6 8 9 9 9 8 9 11 11 10 nan
nan 13 12 11 11 8 6 8 9 11 10 10 11 12 7 0 0 4 6 9 6 4 6 6 8 17 21 23 27 20 7 0 3 3 5 5 7 11 15 12 10 4 10 12 7 3 4 3 9 16 12 13 19 16 11 11 11 13 11 8 8 9 11 12 10 7 7 7 2 -3 -0 3 7 9 11 15 16 13 10 8 6 8 18 21 17 13 17 18 13 8 8 12 13 10 5 2 1 1 2 4 5 5 7 6 4 3 4 6 7 6 5 8 11 13 14 14 18 18 14 10 6 5 7 5 1 2 7 7 5 2 14 23 22 11 2 4 3 5 7 6 3 3 5 10 12 14 13 11 11 14 17 14 12 13 15 14 9 4 4 8 10 10 10 10 10 12 14 14 nan
nan 11 8 10 11 9 6 9 12 16 16 11 7 8 6 2 2 2 4 9 10 8 7 5 2 7 12 8 11 18 17 10 4 3 6 7 7 11 12 12 10 9 11 5 1 6 11 13 16 13 9 13 20 14 7 7 11 12 12 14 13 11 9 13 14 14 14 9 3 -0 3 3 5 6 10 14 16 14 10 8 7 10 18 23 21 18 18 19 15 9 11 15 12 7 6 4 7 6 4 4 4 4 4 6 9 10 10 14 17 17 9 4 4 5 8 12 16 19 17 10 6 5 1 1 6 9 8 5 -1 3 19 27 18 8 3 2 2 3 7 5 5 4 7 11 14 14 11 8 6 9 10 9 10 12 13 13 11 8 9 11 10 11 13 14 14 15 16 18 nan
nan 7 2 3 7 9 9 9 12 16 15 11 10 13 13 9 7 5 4 8 13 14 13 10 8 11 13 5 4 17 23 20 10 7 8 13 15 21 18 10 7 12 10 4 4 10 14 19 17 11 11 16 18 9 2 1 6 7 8 10 13 14 13 15 15 14 13 8 3 4 7 8 8 6 6 9 14 14 9 5 5 8 12 15 15 16 18 18 12 10 14 19 15 12 11 11 12 8 5 4 5 5 4 5 10 14 16 14 11 10 5 3 -2 -3 3 8 11 15 18 16 14 11 5 8 17 18 10 2 -6 7 23 22 9 1 4 3 0 2 4 4 6 6 6 8 10 9 9 8 8 6 6 5 3 6 9 11 12 14 16 14 10 10 11 14 16 18 20 20 nan
nan 9 1 -4 7 8 9 7 8 10 8 5 10 17 18 14 14 14 8 3 5 9 7 7 12 16 13 7 4 7 11 19 19 12 6 9 20 29 21 7 9 15 15 17 17 13 11 14 8 4 9 15 14 7 2 0 4 6 3 4 7 13 20 18 14 8 6 1 -1 6 11 9 7 6 6 8 12 14 9 4 5 9 9 8 8 12 18 17 11 11 15 16 12 13 16 17 12 7 5 6 8 9 6 3 5 11 17 14 6 5 5 3 -2 -1 7 10 11 11 13 17 20 18 14 14 14 10 4 2 4 16 18 7 2 2 10 10 8 6 3 3 6 9 8 7 5 4 7 11 13 10 8 6 3 3 6 8 11 12 10 10 7 6 6 8 13 17 19 18 nan
nan 10 1 2 7 8 9 6 5 6 7 5 6 11 14 13 16 16 7 -2 1 7 4 2 12 13 9 9 9 4 7 14 16 20 11 0 7 10 14 11 8 4 17 25 18 11 11 12 5 1 4 8 8 5 6 7 9 9 6 5 6 14 21 20 14 6 2 -3 -0 6 8 4 3 7 11 12 14 13 10 8 9 13 11 4 1 7 16 17 10 10 11 8 5 12 20 20 12 5 4 6 9 11 8 2 3 8 12 10 3 2 7 7 4 3 6 9 10 10 11 14 17 15 12 9 4 -2 1 9 16 14 4 -2 3 10 15 16 18 15 8 4 6 9 9 8 6 6 8 11 13 11 10 9 8 7 6 7 7 7 6 7 8 8 8 11 15 16 14 13 nan
nan 7 6 12 6 2 7 10 6 7 13 17 17 15 12 10 13 14 7 2 7 11 7 3 12 10 6 8 10 11 19 15 17 19 16 4 -4 -1 7 12 4 2 15 17 15 9 12 13 13 5 2 1 0 5 11 9 8 10 10 10 10 13 17 16 11 6 6 6 7 6 3 3 5 10 14 16 16 14 10 10 13 16 11 1 -1 7 17 15 9 7 7 6 6 13 21 19 9 1 3 7 11 13 9 3 7 11 12 10 7 5 12 14 10 4 3 4 6 12 17 17 11 8 4 2 -1 -3 5 15 16 6 -3 -2 4 12 14 16 19 18 10 5 4 6 8 8 8 8 9 9 9 9 10 12 13 13 12 11 11 12 14 13 11 13 17 21 21 18 13 11 nan
nan 4 11 19 8 -1 1 8 3 3 7 13 20 21 16 10 10 10 7 11 20 20 12 6 14 10 3 4 8 13 21 21 10 7 15 11 8 5 12 22 7 11 10 13 11 5 7 10 15 13 11 8 5 9 10 7 2 4 7 12 14 14 12 8 4 5 12 19 17 8 2 6 12 14 13 12 14 13 8 8 14 17 11 2 4 15 23 19 14 9 5 4 10 14 18 13 5 3 6 10 12 13 9 7 11 15 15 13 10 9 14 14 11 6 4 1 2 9 18 18 9 3 -0 0 2 3 10 15 12 4 -1 1 2 8 13 19 18 13 5 3 5 6 9 10 11 12 11 11 10 9 11 13 14 14 13 12 13 14 13 12 9 12 17 21 19 13 10 9 nan
nan 6 12 16 7 5 11 12 6 4 1 -0 2 6 8 8 7 8 9 13 21 20 11 9 14 15 9 8 7 10 14 13 4 4 5 7 8 8 25 28 13 9 4 8 4 1 1 6 10 13 14 16 15 13 8 3 0 3 6 10 17 18 14 5 2 5 13 19 16 8 4 8 16 14 8 4 6 9 8 10 17 19 11 3 8 20 23 19 19 13 6 3 11 13 13 6 -0 4 8 11 15 17 15 12 13 16 14 10 10 11 14 14 12 10 10 6 4 7 12 12 7 3 2 3 6 11 15 14 8 2 2 3 4 7 13 19 16 5 -2 1 6 10 11 12 12 12 14 15 16 12 9 8 8 8 9 8 7 7 6 6 10 13 14 14 13 10 7 7 nan
nan 10 10 3 1 12 19 14 11 9 6 -0 -7 -6 1 8 12 13 11 11 13 14 10 11 10 10 8 11 10 8 6 6 6 7 3 -4 -2 6 22 16 9 6 10 8 6 -4 -2 2 6 8 13 19 20 15 6 4 5 5 5 5 9 14 14 11 7 7 8 12 12 10 8 8 12 10 3 1 3 7 10 15 20 19 10 3 6 15 16 14 12 10 7 9 15 19 16 8 -1 1 4 6 14 18 16 13 13 16 13 7 7 10 12 13 11 10 11 10 9 9 8 7 6 6 7 8 10 14 16 12 7 4 4 6 8 13 17 18 12 1 -4 1 7 10 12 13 12 12 13 15 16 12 7 5 4 5 6 7 7 7 6 9 16 17 13 10 9 7 6 7 nan
nan 13 18 7 3 12 18 10 9 11 9 4 -1 1 7 15 18 16 11 9 12 17 17 13 7 1 1 7 9 6 4 6 9 12 7 1 -2 7 9 3 2 10 18 10 5 -2 0 4 6 9 14 22 23 17 10 7 9 7 5 1 -0 3 7 11 11 10 11 12 15 16 13 8 5 5 2 1 3 7 11 14 17 16 9 4 3 9 9 10 7 8 8 18 25 27 20 14 4 2 1 3 9 11 9 9 12 16 14 9 8 9 10 9 8 9 10 11 12 10 9 7 6 7 8 7 9 13 16 13 9 6 5 7 11 16 20 16 8 -1 -1 5 8 8 10 12 11 11 12 13 13 13 9 7 5 5 6 11 12 11 10 13 16 14 12 10 8 7 7 7 nan
nan 6 18 10 8 13 20 17 13 13 11 10 8 8 12 17 19 16 10 5 10 18 20 12 7 2 3 5 5 3 3 3 7 16 18 15 7 5 -4 -1 -3 16 17 9 4 6 7 10 13 15 19 25 24 15 10 8 10 9 5 2 -1 0 2 1 4 11 17 17 15 15 16 13 6 5 5 5 6 9 9 7 10 10 9 5 4 8 7 10 15 13 5 13 26 24 15 11 6 2 3 5 6 9 9 10 11 15 17 14 10 9 6 7 10 11 11 12 12 10 8 6 6 8 9 10 10 11 14 16 14 8 5 5 10 15 17 11 4 -1 3 8 13 14 14 11 6 7 10 11 11 14 13 10 8 9 11 14 15 12 12 15 17 15 11 9 8 7 7 8 nan
nan 0 -6 -1 7 7 12 18 14 10 11 16 17 14 14 14 14 13 10 6 7 12 14 10 8 10 12 11 7 3 1 1 5 15 19 19 11 -1 -7 -0 -1 12 8 7 6 9 12 14 16 19 21 24 21 13 9 8 7 9 8 7 5 4 5 -0 -2 5 13 14 7 7 12 15 11 6 9 15 16 15 8 2 -0 5 9 9 13 13 8 12 23 18 4 4 18 15 8 6 7 3 5 7 11 16 15 11 9 11 16 16 12 7 3 4 7 12 13 12 11 9 7 5 4 7 11 15 14 14 17 20 14 5 3 4 7 12 14 10 6 5 8 10 18 23 19 13 3 -0 4 6 6 7 10 12 14 14 15 13 11 11 13 16 16 14 12 9 8 8 8 9 nan
nan 6 -2 0 6 3 4 8 9 10 14 20 22 17 14 11 10 10 8 6 7 10 10 10 9 15 17 13 10 8 4 3 7 10 12 15 13 2 -0 -1 -2 1 3 3 6 10 14 14 13 14 18 21 18 12 8 8 8 11 12 10 9 8 7 3 0 4 9 5 -4 -3 5 10 7 -1 4 13 20 20 11 -0 -4 2 8 14 20 14 9 13 24 19 8 8 17 13 9 11 9 2 3 7 16 19 16 9 6 8 14 17 15 9 4 2 5 11 15 15 14 12 11 9 7 9 13 16 15 15 16 15 6 -1 0 3 6 9 11 10 8 7 10 12 16 20 18 13 5 -2 -0 3 3 5 9 12 13 12 11 9 8 9 13 16 17 15 12 9 8 8 9 9 nan
nan 11 6 10 10 4 -0 1 4 7 13 14 15 14 13 9 10 8 4 3 3 7 7 5 7 12 11 6 11 14 9 7 11 12 13 17 24 15 7 -0 -2 -1 3 0 7 13 18 15 8 5 9 13 14 11 8 8 9 10 11 11 10 8 6 4 4 9 11 5 -5 -7 -0 8 9 2 -2 3 9 11 6 2 4 5 7 12 14 13 8 9 15 14 10 13 15 11 11 15 12 5 2 5 10 11 11 8 7 9 12 15 15 12 8 6 7 11 17 18 16 14 13 11 8 10 15 12 9 8 8 3 -2 -1 2 4 5 6 6 7 8 7 6 8 9 12 12 11 10 7 6 6 7 10 13 12 9 7 7 7 8 10 14 17 17 13 10 7 7 7 9 10 nan
nan 16 19 19 13 5 3 -0 3 10 13 7 6 9 10 13 16 13 5 2 4 5 4 0 3 6 6 2 6 12 10 9 16 20 16 25 34 23 13 5 1 1 4 4 11 16 21 18 10 3 1 6 11 10 10 9 9 9 11 11 10 7 4 4 7 9 9 7 4 3 4 10 16 14 5 2 3 5 2 4 8 9 8 7 8 13 9 5 5 9 11 10 6 4 6 12 12 7 2 2 0 -1 2 7 8 9 10 10 9 9 10 10 11 11 13 15 14 11 8 6 9 12 12 7 4 4 6 3 -0 4 10 9 5 5 5 6 10 11 8 6 7 9 8 8 10 12 11 10 12 14 14 12 9 8 8 8 8 9 13 16 16 13 10 8 7 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
132 149 151 139 117 105 114 122 117 125 149 166 173 164 150 132 112 90 73 69 75 78 76 77 81 86 88 85 81 78 77 64 41 34 43 50 50 46 40 35 31 31 32 28 28 31 29 22 14 7 6 6 6 8 6 5 5 4 5 6 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
123 138 142 136 116 92 89 106 125 136 148 161 178 184 176 157 131 105 87 83 88 90 85 82 83 85 86 83 75 69 67 62 45 34 41 47 44 38 34 34 33 31 28 25 27 30 27 20 12 7 6 6 7 8 6 4 4 3 5 6 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
107 100 95 87 73 53 62 94 120 129 135 153 182 203 200 180 152 123 103 95 96 96 92 88 87 87 87 82 70 59 54 52 46 38 38 40 36 32 34 38 40 36 28 24 28 30 25 18 11 7 6 7 7 9 6 3 3 3 6 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 0 0 0 0 0
110 91 73 55 40 32 48 85 110 116 121 144 181 208 212 197 170 140 117 101 93 92 92 93 93 94 94 87 70 54 48 48 44 38 35 34 30 32 39 45 46 41 34 30 28 28 22 16 9 7 7 7 8 9 6 3 2 4 6 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
136 129 108 80 57 50 62 91 110 113 114 132 163 192 207 204 186 159 134 110 92 86 93 99 101 103 104 99 82 64 59 58 50 38 33 33 32 37 45 49 46 42 41 34 27 24 19 13 8 7 7 8 9 9 6 2 1 4 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
150 165 156 134 113 104 107 116 119 116 112 118 135 161 185 198 195 177 151 125 101 90 96 104 108 112 117 117 106 90 82 79 65 45 36 37 41 44 48 49 46 47 48 34 24 20 16 11 8 8 8 8 10 10 5 2 2 5 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
127 141 152 155 154 153 147 138 131 123 116 113 116 135 161 184 195 189 168 143 121 106 104 112 118 118 123 126 119 104 94 93 84 61 49 50 52 49 46 46 47 53 54 30 20 16 12 9 8 8 8 9 10 8 3 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 98 114 128 141 157 164 158 147 141 136 129 126 132 148 168 186 193 182 162 142 127 118 129 130 122 118 120 111 97 91 94 93 79 63 56 51 47 44 44 48 54 49 26 16 14 10 8 8 8 9 9 10 5 2 2 5 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
62 65 78 90 103 122 133 137 140 145 151 148 141 138 145 156 171 186 185 169 155 141 132 134 135 119 110 112 104 97 96 96 94 86 71 57 49 47 44 44 48 51 42 25 13 13 9 8 8 8 9 10 8 3 2 3 5 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
56 55 62 70 78 88 102 116 120 125 136 136 130 132 141 148 154 166 173 166 159 148 141 142 140 126 114 108 104 106 102 96 89 83 75 63 50 47 45 46 50 49 37 22 13 12 8 7 8 10 10 8 5 3 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 59 66 75 84 96 113 121 116 113 121 123 122 136 145 145 141 142 153 164 168 156 149 147 139 128 118 107 105 106 96 86 80 77 74 68 55 46 45 48 51 45 32 19 13 11 8 8 9 11 9 6 3 3 4 5 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
68 69 77 89 100 112 122 123 120 122 131 142 149 157 155 146 134 128 136 153 164 158 152 147 128 122 116 106 101 95 84 77 73 71 70 65 54 44 47 52 53 41 25 17 14 11 8 9 11 10 6 3 2 4 5 7 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 0 0
75 75 79 85 91 97 102 106 110 119 136 156 166 163 154 146 135 124 123 134 145 146 141 139 141 132 118 106 98 92 85 75 67 63 61 57 49 44 49 54 50 36 23 16 16 13 11 10 10 8 4 2 3 5 6 7 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
80 75 73 74 76 81 88 94 91 97 119 141 145 135 129 136 141 132 124 127 132 135 134 133 137 134 119 105 97 93 84 71 60 55 50 47 44 46 49 52 46 35 24 15 16 14 12 11 10 7 4 2 4 7 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 0 0 0 0 0 0 0 0 0 0
82 76 71 70 75 85 96 98 87 81 99 122 120 105 103 123 145 148 136 130 129 130 130 132 134 128 112 97 89 83 74 65 58 52 46 40 41 45 46 46 42 33 22 14 15 16 14 12 9 6 3 4 6 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
76 75 69 70 81 97 110 111 100 87 90 111 114 97 94 116 145 157 148 135 128 127 129 131 128 118 102 89 83 77 69 62 59 55 48 40 39 41 39 37 35 27 19 16 18 19 16 12 9 4 3 5 7 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 0 0 0 0 0
62 65 66 72 87 106 121 126 117 101 93 104 115 103 95 114 142 158 153 137 126 124 128 127 121 110 99 90 82 72 64 60 58 53 46 38 34 34 32 29 27 22 18 19 21 19 14 11 6 3 4 6 6 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
52 60 69 81 97 111 122 130 125 106 94 105 122 115 101 117 135 146 145 135 128 128 132 127 119 109 100 91 81 69 61 58 54 50 42 36 33 32 30 26 22 18 18 21 22 18 11 8 5 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 71 86 98 105 107 109 119 120 99 86 104 130 130 115 116 129 132 130 129 131 135 136 129 119 106 95 85 74 65 59 55 49 44 38 35 34 33 30 25 20 17 19 23 22 16 9 5 4 6 10 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
71 98 114 116 109 99 97 107 111 89 72 85 108 112 103 102 112 119 119 127 133 136 134 127 115 99 85 75 67 61 54 48 41 36 32 32 34 33 28 24 21 19 21 24 23 15 8 4 5 8 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
85 114 130 124 110 98 97 106 108 90 72 79 97 98 91 93 104 108 108 113 124 126 124 116 103 88 75 67 63 58 52 43 36 31 29 31 33 31 26 21 20 21 22 23 23 16 7 5 7 10 10 6 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 0 0 0
85 107 122 122 109 101 101 108 111 104 96 102 117 113 103 104 112 111 103 102 110 104 101 94 85 75 66 62 59 56 49 38 32 29 28 28 28 27 22 18 19 22 23 23 21 14 6 6 8 11 11 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
84 100 113 114 106 102 104 106 113 119 123 129 134 130 118 115 124 129 122 106 95 88 83 74 67 61 58 56 54 49 40 33 31 29 27 25 24 23 18 14 17 22 24 23 18 12 7 7 10 11 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 0 0 0 0 0 0 0 0 0 0
85 97 106 105 99 98 105 107 111 122 127 126 126 123 114 110 121 126 112 98 88 82 74 63 54 51 52 53 50 42 33 29 27 26 25 25 23 18 13 11 14 21 24 23 17 11 8 10 12 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
86 89 96 93 89 94 104 109 109 113 114 108 104 103 101 103 113 117 100 89 83 78 71 61 53 52 54 54 49 37 27 22 21 23 24 25 20 14 9 8 12 18 24 23 16 11 11 12 14 13 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 0 0 0 0 0 0 0 0
81 76 79 81 81 89 100 106 104 100 101 97 91 94 100 106 110 103 77 66 73 75 73 68 61 57 56 57 51 32 20 16 17 20 23 23 19 14 10 7 8 12 16 20 14 11 13 14 13 10 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 0 0 0 0 0
82 70 68 71 75 82 89 89 85 85 91 96 98 103 106 103 94 75 53 51 67 76 79 73 63 56 56 58 51 24 14 14 17 20 23 25 24 21 14 9 8 9 11 13 11 12 15 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0
100 83 70 68 74 79 78 68 59 60 73 90 104 108 100 78 60 48 44 52 67 80 82 68 54 51 54 53 39 16 12 17 21 24 26 27 27 24 17 12 9 8 8 8 9 12 17 16 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
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