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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 118 116 115 113 112 112 111 111 110 109 108 107 105 104 103 103 103 102 102 102 103 104 104 104 103 103 102 101 101 100 100 101 101 101 101 100 100 101 102 103 104 104 105 104 104 105 106 107 108 110 111 112 112 114 114 114 114 114 115 116 115 115 115 115 116 115 115 115 114 114 113 113 112 111 111 110 108 107 106 106 105 105 105 105 105 105 104 103 102 102 101 101 101 101 101 101 100 100 100 100 100 101 101 103 103 104 105 105 105 105 105 106 106 106 106 107 107 108 109 109 109 110 109 109 109 108 108 108 108 109 109 110 110 111 110 110 109 108 107 107 108 109 110 111 111 111 111 111 110 111 111 112 114 116 118 118 119 118 119 120 121 121 120 119 118 116 116 116 117 118 119 120 120 121 121 121 122 122 123 124 125 126 127 127 128 128 128 128 128 129 129 129 130 131 132 133 135 136 138 139 141 140 139 137 134 132 131 130 131 131 131 131 132 132 132 131 131 130 130 130 130 130 129 128 126 124 123 121 120 118 117 116 115 114 113 113 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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 6 8 9 10 11 11 12 11 12 12 13 13 14 15 16 17 18 19 19 19 20 20 20 20 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 117 115 114 113 112 112 112 112 112 110 108 107 106 105 105 104 103 104 103 103 103 104 104 104 104 104 103 103 102 102 101 101 101 101 101 101 100 101 102 103 103 103 104 104 104 104 106 107 108 109 110 111 112 114 114 113 113 113 113 113 114 114 114 115 115 115 115 115 114 114 113 112 111 111 110 108 107 107 106 106 107 107 106 106 105 105 104 104 103 102 102 102 101 101 100 100 100 100 100 100 100 100 100 102 102 104 104 105 106 106 107 108 108 108 108 108 108 108 109 110 109 109 109 108 108 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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 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103 102 101 100 100 99 98 98 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 9 10 11 11 11 12 12 13 14 14 15 15 16 16 16 17 17 18 18 19 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 112 111 111 111 111 112 113 112 111 110 109 109 108 108 107 107 107 106 106 105 105 104 103 104 104 104 104 103 103 103 103 102 102 102 101 101 101 101 101 101 102 102 103 103 103 104 105 106 108 109 110 111 110 110 110 110 111 110 111 111 112 113 113 113 113 113 114 112 112 113 112 112 111 109 108 107 107 108 108 109 109 108 107 106 104 104 104 103 102 102 101 101 101 101 100 100 100 101 101 102 102 102 101 101 102 102 103 104 105 107 108 109 110 110 110 110 111 110 111 111 111 111 112 111 111 111 110 111 110 110 109 109 108 107 106 106 105 105 106 107 108 109 109 109 110 110 111 112 114 114 116 116 116 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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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 8 9 10 12 13 12 13 13 13 13 14 14 14 14 15 15 15 16 16 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 110 111 112 112 112 112 111 111 111 111 111 111 111 110 110 109 108 108 108 108 107 106 106 105 105 105 105 105 105 105 105 104 104 103 103 102 102 102 102 102 101 101 102 102 102 103 104 104 104 103 104 104 104 105 106 106 106 107 107 108 109 109 110 109 109 110 111 111 111 111 111 110 109 109 108 108 108 109 110 111 110 108 107 105 104 103 103 102 102 102 101 101 101 101 101 102 102 102 103 104 104 104 104 103 103 104 105 105 106 106 106 107 108 109 110 111 111 112 112 112 112 112 112 112 112 112 112 111 110 110 109 108 107 106 105 104 104 105 107 108 108 108 108 108 108 109 112 113 114 115 115 115 115 116 117 118 118 116 114 112 111 111 113 114 115 116 116 118 119 121 122 123 124 124 124 124 123 123 123 124 124 125 126 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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 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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 114 115 114 114 113 113 113 113 113 113 113 113 113 112 111 111 110 110 109 109 108 108 108 107 107 107 107 106 106 106 106 105 105 104 104 104 103 103 103 103 103 102 102 102 102 102 101 102 102 103 103 104 104 104 104 104 105 105 105 105 106 106 107 108 108 109 109 108 109 109 110 110 111 110 110 110 110 111 111 109 107 106 105 104 103 103 102 103 103 102 102 101 102 102 103 104 104 104 105 105 105 105 105 104 104 104 106 107 108 109 110 111 112 111 110 110 111 111 112 112 112 112 112 112 112 112 111 110 109 108 107 106 106 105 106 106 107 108 108 108 108 107 108 108 110 111 113 114 115 114 114 114 115 116 117 116 114 112 110 109 108 110 112 115 118 119 120 122 123 124 124 124 124 124 124 124 124 124 124 125 126 127 128 129 129 129 130 130 130 131 131 131 131 130 129 128 127 126 126 127 127 127 128 128 128 127 126 125 124 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