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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 156 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 86 86 85 84 85 86 87 90 93 94 96 97 99 101 102 103 104 106 103 100 95 nan nan nan nan nan nan nan 96 98 98 98 95 93 nan nan 96 95 96 97 99 102 104 105 106 107 109 110 112 113 115 nan nan nan nan nan nan nan 130 130 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 164 164 163 163 165 165 168 171 175 176 175 172 170 168 167 167 166 167 167 167 168 168 167 166 166 165 164 164 163 162 161 160 158 157 155 154 153 152 150 149 148 147 146 145 145 145 146 147 146 146 145 144 144 144 144 144 145 145 145 146 146 147 148 149 150 149 150 151 152 153 155 156 158 159 161 162 164 165 167 168 169 169 170 170 170 169 169 168 166 161 151 nan nan nan nan nan nan nan nan nan nan nan nan nan 156 nan nan nan nan nan nan nan nan nan nan nan 113 113 115 117 124 125 123 119 116 115 109 106 102 102 99 nan nan 151 144 136 123 115 111 109 109 109 110 111 113 113 115 119 122 118 114 110 111 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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 nan nan nan nan nan nan 162 162 163 163 164 164 164 166 167 171 174 175 175 173 171 170 168 167 167 167 168 169 168 168 167 167 166 166 166 166 164 164 163 162 161 159 158 157 155 154 153 151 150 149 148 147 146 146 146 147 146 146 145 143 143 144 144 144 144 144 144 144 146 146 147 148 148 149 150 150 151 152 154 155 156 158 159 160 162 163 165 166 168 169 170 170 170 168 166 164 161 155 145 nan nan nan nan nan nan nan nan 89 89 nan nan nan nan nan nan nan nan 79 78 78 100 117 126 126 124 122 121 119 115 111 114 123 135 134 138 147 153 157 150 140 127 126 124 125 126 127 126 126 126 128 129 125 119 110 109 111 114 114 112 109 110 114 120 123 124 127 131 129 128 129 129 127 120 116 114 119 122 125 121 117 112 108 102 104 107 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 95 89 83 83 83 nan nan nan nan nan nan nan nan 86 87 89 nan nan nan nan 107 107 108 109 108 109 108 107 105 103 101 100 98 96 94 93 92 88 85 85 89 96 97 97 95 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 162 161 162 163 163 164 164 164 165 166 169 173 175 175 174 172 170 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nan nan nan 89 88 86 91 96 102 103 102 100 98 96 97 97 98 98 98 98 96 94 89 87 88 96 99 99 94 nan nan nan nan nan nan nan nan nan nan 107 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 162 162 162 162 163 164 164 164 166 168 172 175 176 175 173 172 171 169 169 168 168 168 168 168 168 168 167 167 167 167 167 165 165 165 164 162 161 160 158 157 155 154 153 152 151 150 149 149 149 149 149 147 146 145 144 144 143 143 144 144 144 144 145 145 145 146 147 148 149 149 150 151 152 153 155 155 157 158 159 160 161 162 163 165 167 167 168 167 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nan nan nan 73 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 81 76 69 63 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 114 nan nan nan nan nan nan 116 116 116 115 114 113 113 109 107 103 104 105 nan nan nan nan nan nan 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 91 88 89 89 88 93 99 105 104 103 101 100 98 100 102 104 104 104 104 101 98 94 89 nan 94 98 100 95 nan nan nan nan nan nan nan nan nan nan 107 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 162 162 162 162 163 163 163 164 165 167 171 174 176 176 175 173 171 171 170 169 168 168 168 169 169 168 168 167 167 167 166 166 165 165 165 164 163 161 160 158 157 156 155 153 153 152 150 151 150 150 150 148 147 146 145 145 144 143 144 144 144 145 145 145 146 146 147 147 148 149 149 151 152 153 154 155 156 157 158 158 159 160 161 162 163 165 166 165 nan nan nan nan nan nan nan nan 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 93 94 105 120 126 128 128 128 125 118 112 nan nan nan 102 98 95 100 106 112 118 124 131 135 139 139 138 136 135 136 138 138 134 129 123 124 127 133 135 137 140 142 141 126 119 110 115 122 133 136 134 128 117 113 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156 157 158 158 160 160 161 162 163 164 164 nan nan nan nan nan nan nan nan 124 122 125 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 138 137 132 125 119 117 114 112 nan nan nan 99 96 99 109 131 142 139 139 140 137 137 140 141 142 140 138 136 134 131 127 127 132 136 141 142 144 147 146 136 121 120 120 138 140 137 135 134 137 139 134 125 122 120 123 124 124 121 119 125 128 130 127 126 123 nan 121 122 123 127 126 125 120 nan nan 119 117 111 113 122 120 116 109 104 100 102 105 106 112 116 120 123 123 117 114 110 110 108 102 98 94 95 96 100 102 106 nan nan nan nan nan 111 114 114 110 106 101 105 109 113 nan nan nan nan 99 105 110 113 114 115 113 112 111 110 108 104 101 98 98 97 95 95 95 94 93 92 89 85 80 78 77 75 72 69 66 65 64 64 64 64 67 71 75 78 79 76 73 68 62 57 53 50 49 49 47 46 46 48 50 50 47 47 49 52 54 nan nan nan 60 nan nan 60 59 57 55 nan 53 54 56 60 60 54 50 46 40 35 29 26 26 29 29 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 79 80 78 72 64 62 67 68 67 66 65 68 70 70 nan nan nan 79 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 82 78 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 108 106 nan 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 162 161 162 162 162 163 163 164 165 167 169 174 176 176 175 174 173 172 170 170 170 169 170 169 169 169 168 168 167 167 167 167 166 166 166 165 165 163 163 162 161 159 158 156 155 154 153 153 153 154 152 151 149 147 146 146 145 146 144 145 144 145 145 146 146 146 147 147 148 148 149 150 151 152 153 154 155 155 156 156 158 159 159 159 159 161 162 163 161 nan nan nan nan nan nan 80 80 81 81 82 89 nan nan nan nan nan nan nan nan nan nan nan nan nan 90 97 104 106 107 110 113 114 116 114 108 108 nan nan 145 141 129 121 120 123 127 132 136 137 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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 111 112 113 113 113 112 110 108 108 108 nan nan nan nan nan nan nan nan nan nan nan nan 106 111 112 113 115 118 122 126 126 124 121 121 119 117 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 162 162 161 161 162 163 163 164 165 167 170 174 176 176 175 174 173 172 171 170 170 170 170 169 169 169 169 168 168 168 167 167 166 166 166 166 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106 105 113 116 120 nan nan nan nan nan nan nan 118 118 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 93 93 92 91 89 88 84 76 62 59 nan nan 75 80 81 80 79 76 74 78 84 90 95 98 101 102 103 104 105 107 109 109 108 109 112 113 114 114 114 114 112 110 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 107 106 105 105 nan nan nan nan 94 89 83 77 76 72 65 59 55 54 54 53 54 57 60 64 65 63 61 60 57 54 54 51 nan nan 46 45 44 45 46 47 51 50 45 32 27 27 30 31 nan nan nan nan nan nan nan nan nan nan nan nan nan 70 81 nan nan nan nan 87 85 nan nan nan nan nan nan 97 95 92 79 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan 107 108 108 108 109 nan nan nan nan nan nan nan nan 120 121 122 123 120 117 114 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 159 159 160 161 163 166 170 176 178 178 176 174 173 172 172 171 171 171 172 172 172 171 171 170 170 170 169 170 169 169 169 168 168 167 167 166 166 165 164 163 163 163 163 163 162 161 159 158 156 155 153 152 151 150 150 149 148 148 148 148 147 147 148 147 148 148 149 149 150 150 151 151 152 153 154 154 153 154 154 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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 159 160 160 162 163 165 171 176 178 178 176 174 172 172 172 171 171 171 172 172 172 171 171 171 170 170 170 169 169 169 169 169 168 168 167 166 166 165 164 164 164 164 164 164 163 161 160 158 156 155 154 153 152 151 150 150 149 148 148 148 148 148 148 148 148 148 149 149 150 150 151 151 152 153 153 154 153 153 153 154 153 153 153 153 152 152 150 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 117 nan nan nan nan 116 115 113 104 95 95 100 104 106 107 nan nan 110 110 108 107 101 98 nan nan 104 114 118 123 123 117 107 117 nan nan nan 154 151 151 nan nan nan nan nan 155 146 138 nan nan nan nan 135 133 131 130 nan nan 148 144 141 141 140 139 137 133 135 140 nan nan nan nan nan nan nan 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 121 118 119 123 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 88 86 85 84 84 82 81 79 73 63 58 58 66 76 83 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