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leetcode-problemset/leetcode-cn/originData/cut-off-trees-for-golf-event.json

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"title": "Cut Off Trees for Golf Event",
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"content": "<p>You are asked to cut off all the trees in a forest for a golf event. The forest is represented as an <code>m x n</code> matrix. In this matrix:</p>\n\n<ul>\n\t<li><code>0</code> means the cell cannot be walked through.</li>\n\t<li><code>1</code> represents an empty cell that can be walked through.</li>\n\t<li>A number greater than <code>1</code> represents a tree in a cell that can be walked through, and this number is the tree&#39;s height.</li>\n</ul>\n\n<p>In one step, you can walk in any of the four directions: north, east, south, and west. If you are standing in a cell with a tree, you can choose whether to cut it off.</p>\n\n<p>You must cut off the trees in order from shortest to tallest. When you cut off a tree, the value at its cell becomes <code>1</code> (an empty cell).</p>\n\n<p>Starting from the point <code>(0, 0)</code>, return <em>the minimum steps you need to walk to cut off all the trees</em>. If you cannot cut off all the trees, return <code>-1</code>.</p>\n\n<p>You are guaranteed that no two trees have the same height, and there is at least one tree needs to be cut off.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/26/trees1.jpg\" style=\"width: 242px; height: 242px;\" />\n<pre>\n<strong>Input:</strong> forest = [[1,2,3],[0,0,4],[7,6,5]]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> Following the path above allows you to cut off the trees from shortest to tallest in 6 steps.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/26/trees2.jpg\" style=\"width: 242px; height: 242px;\" />\n<pre>\n<strong>Input:</strong> forest = [[1,2,3],[0,0,0],[7,6,5]]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> The trees in the bottom row cannot be accessed as the middle row is blocked.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> forest = [[2,3,4],[0,0,5],[8,7,6]]\n<strong>Output:</strong> 6\n<b>Explanation:</b> You can follow the same path as Example 1 to cut off all the trees.\nNote that you can cut off the first tree at (0, 0) before making any steps.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == forest.length</code></li>\n\t<li><code>n == forest[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 50</code></li>\n\t<li><code>0 &lt;= forest[i][j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "为高尔夫比赛砍树",
"translatedContent": "<p>你被请来给一个要举办高尔夫比赛的树林砍树。树林由一个 <code>m x n</code> 的矩阵表示, 在这个矩阵中:</p>\n\n<ul>\n\t<li><code>0</code> 表示障碍,无法触碰</li>\n\t<li><code>1</code> 表示地面,可以行走</li>\n\t<li><code>比 1 大的数</code> 表示有树的单元格,可以行走,数值表示树的高度</li>\n</ul>\n\n<p>每一步,你都可以向上、下、左、右四个方向之一移动一个单位,如果你站的地方有一棵树,那么你可以决定是否要砍倒它。</p>\n\n<p>你需要按照树的高度从低向高砍掉所有的树,每砍过一颗树,该单元格的值变为 <code>1</code>(即变为地面)。</p>\n\n<p>你将从 <code>(0, 0)</code> 点开始工作,返回你砍完所有树需要走的最小步数。 如果你无法砍完所有的树,返回 <code>-1</code> 。</p>\n\n<p>可以保证的是,没有两棵树的高度是相同的,并且你至少需要砍倒一棵树。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/26/trees1.jpg\" style=\"width: 242px; height: 242px;\" />\n<pre>\n<strong>输入:</strong>forest = [[1,2,3],[0,0,4],[7,6,5]]\n<strong>输出:</strong>6\n<strong>解释:</strong>沿着上面的路径,你可以用 6 步,按从最矮到最高的顺序砍掉这些树。</pre>\n\n<p><strong>示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/26/trees2.jpg\" style=\"width: 242px; height: 242px;\" />\n<pre>\n<strong>输入:</strong>forest = [[1,2,3],[0,0,0],[7,6,5]]\n<strong>输出:</strong>-1\n<strong>解释:</strong>由于中间一行被障碍阻塞,无法访问最下面一行中的树。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>forest = [[2,3,4],[0,0,5],[8,7,6]]\n<strong>输出:</strong>6\n<strong>解释:</strong>可以按与示例 1 相同的路径来砍掉所有的树。\n(0,0) 位置的树,可以直接砍去,不用算步数。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == forest.length</code></li>\n\t<li><code>n == forest[i].length</code></li>\n\t<li><code>1 <= m, n <= 50</code></li>\n\t<li><code>0 <= forest[i][j] <= 10<sup>9</sup></code></li>\n</ul>\n",
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