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nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 6 5 4 4 6 7 6 5 5 6 6 7 7 8 8 8 7 6 6 5 5 6 6 6 4 2 2 3 4 6 6 6 6 6 7 6 5 4 4 3 5 7 6 7 8 9 7 7 8 10 10 11 11 11 10 11 11 11 11 11 12 13 10 7 6 8 10 11 14 13 9 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 5 5 5 5 6 6 5 4 5 5 5 4 5 5 6 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 10 10 9 10 12 14 14 15 15 14 13 12 10 9 8 8 8 9 9 10 10 9 8 8 8 9 10 9 8 8 8 7 6 6 5 5 4 4 6 8 8 7 6 5 5 4 4 6 8 8 8 9 9 10 8 6 6 6 6 8 7 7 6 4 3 5 10 11 8 5 5 6 6 6 8 8 7 6 4 4 4 3 4 4 4 3 4 4 4 4 4 6 7 7 8 8 7 7 7 7 8 10 10 8 7 7 7 7 7 6 6 6 5 4 4 3 3 4 5 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 5 5 4 4 5 6 7 7 5 5 4 4 4 4 4 4 3 3 3 3 6 7 6 6 6 6 7 7 8 7 7 6 7 6 6 4 4 3 4 7 8 8 8 9 9 7 6 6 6 6 6 6 6 7 7 7 6 4 4 4 4 4 4 4 4 2 1 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 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6 5 5 4 5 5 5 3 4 6 6 6 6 8 9 9 6 3 3 4 6 8 6 5 6 6 9 10 9 6 6 8 9 10 9 8 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 4 4 7 10 12 11 9 8 8 8 6 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 8 7 6 6 5 6 6 6 6 6 6 7 7 7 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 6 5 6 4 2 0 0 0 0 1 3 5 6 5 3 1 0 0 0 0 0 1 4 4 3 2 1 0 0 0 2 4 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 0 0 0 0 0 0 0 0 0 0 0 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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9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 7 6 6 5 5 5 6 7 7 5 4 4 6 6 6 7 8 10 8 5 4 4 5 6 5 5 5 6 8 10 9 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 6 10 11 10 8 7 7 8 6 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 5 5 5 6 5 5 5 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 5 5 5 3 1 0 0 0 3 4 6 6 6 6 5 4 3 2 0 0 1 3 5 6 4 3 5 4 2 1 3 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 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nan nan nan nan nan nan nan nan 10 10 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 5 5 6 6 9 9 7 3 3 5 7 7 7 7 8 9 8 5 4 5 5 6 5 5 6 6 6 6 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 3 3 2 3 3 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 5 6 10 10 9 8 7 6 6 6 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 6 5 5 6 6 6 5 5 6 6 7 7 8 9 8 8 7 6 5 5 5 5 6 7 7 7 6 6 6 8 8 9 9 8 8 8 8 8 8 8 7 7 7 6 6 5 5 4 2 1 2 4 5 6 6 6 6 6 6 4 6 4 2 1 2 4 7 7 3 1 2 6 4 4 5 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 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 6 5 4 5 6 9 9 8 4 2 4 6 7 7 7 8 9 10 8 6 5 6 6 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 3 2 2 3 3 4 4 4 4 4 3 3 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 7 10 9 8 8 7 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 8 9 8 8 7 6 6 6 6 6 6 6 6 7 7 8 9 9 8 7 7 7 6 5 4 5 6 6 6 6 6 6 7 8 9 10 10 8 6 5 4 4 5 6 7 7 7 6 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 7 7 8 7 5 4 4 5 6 5 5 6 6 5 4 6 6 5 4 5 4 2 1 2 5 7 7 1 1 2 6 6 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 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 6 6 5 4 4 5 7 8 8 6 3 3 5 7 8 8 8 10 11 12 10 7 6 6 5 5 5 5 6 5 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 4 4 4 3 3 2 2 3 4 4 4 4 4 3 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 8 9 9 8 8 7 6 6 5 4 5 5 4 4 4 5 5 4 4 4 4 5 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 7 7 6 5 5 5 6 6 6 7 7 7 8 8 9 9 8 7 6 6 6 5 4 4 5 6 6 6 6 6 7 8 10 11 11 8 6 4 4 5 6 7 8 8 8 7 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 6 6 5 4 4 5 5 5 6 7 6 5 4 5 6 5 4 3 2 2 2 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 148 147 148 149 151 153 154 155 156 159 nan 165 165 165 163 160 158 157 157 158 158 159 158 158 156 155 153 153 152 151 150 149 147 146 145 144 143 142 140 139 139 138 138 138 139 140 141 142 144 146 149 151 154 155 156 156 157 159 160 161 161 162 164 164 165 166 167 167 167 168 168 169 169 169 169 169 168 168 168 168 169 170 170 169 169 169 169 168 168 168 168 167 166 166 166 166 166 166 166 165 164 164 163 162 162 160 157 152 136 nan nan nan nan nan 104 105 106 102 91 90 92 95 99 108 110 111 107 103 101 93 90 97 104 108 107 105 101 103 104 107 108 109 111 114 117 114 109 104 104 103 110 118 133 129 128 124 123 122 120 119 116 118 120 124 128 130 127 122 116 111 107 107 107 107 107 107 108 109 110 112 115 120 123 124 122 116 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