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"questionFrontendId": "1219",
"categoryTitle": "Algorithms",
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"title": "Path with Maximum Gold",
"titleSlug": "path-with-maximum-gold",
"content": "<p>In a gold mine <code>grid</code> of size <code>m x n</code>, each cell in this mine has an integer representing the amount of gold in that cell, <code>0</code> if it is empty.</p>\n\n<p>Return the maximum amount of gold you can collect under the conditions:</p>\n\n<ul>\n\t<li>Every time you are located in a cell you will collect all the gold in that cell.</li>\n\t<li>From your position, you can walk one step to the left, right, up, or down.</li>\n\t<li>You can&#39;t visit the same cell more than once.</li>\n\t<li>Never visit a cell with <code>0</code> gold.</li>\n\t<li>You can start and stop collecting gold from <strong>any </strong>position in the grid that has some gold.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[0,6,0],[5,8,7],[0,9,0]]\n<strong>Output:</strong> 24\n<strong>Explanation:</strong>\n[[0,6,0],\n [5,8,7],\n [0,9,0]]\nPath to get the maximum gold, 9 -&gt; 8 -&gt; 7.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[1,0,7],[2,0,6],[3,4,5],[0,3,0],[9,0,20]]\n<strong>Output:</strong> 28\n<strong>Explanation:</strong>\n[[1,0,7],\n [2,0,6],\n [3,4,5],\n [0,3,0],\n [9,0,20]]\nPath to get the maximum gold, 1 -&gt; 2 -&gt; 3 -&gt; 4 -&gt; 5 -&gt; 6 -&gt; 7.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 15</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 100</code></li>\n\t<li>There are at most <strong>25 </strong>cells containing gold.</li>\n</ul>\n",
"translatedTitle": "黄金矿工",
"translatedContent": "<p>你要开发一座金矿,地质勘测学家已经探明了这座金矿中的资源分布,并用大小为&nbsp;<code>m * n</code> 的网格 <code>grid</code> 进行了标注。每个单元格中的整数就表示这一单元格中的黄金数量;如果该单元格是空的,那么就是 <code>0</code>。</p>\n\n<p>为了使收益最大化,矿工需要按以下规则来开采黄金:</p>\n\n<ul>\n\t<li>每当矿工进入一个单元,就会收集该单元格中的所有黄金。</li>\n\t<li>矿工每次可以从当前位置向上下左右四个方向走。</li>\n\t<li>每个单元格只能被开采(进入)一次。</li>\n\t<li><strong>不得开采</strong>(进入)黄金数目为 <code>0</code> 的单元格。</li>\n\t<li>矿工可以从网格中 <strong>任意一个</strong> 有黄金的单元格出发或者是停止。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>grid = [[0,6,0],[5,8,7],[0,9,0]]\n<strong>输出:</strong>24\n<strong>解释:</strong>\n[[0,6,0],\n [5,8,7],\n [0,9,0]]\n一种收集最多黄金的路线是9 -&gt; 8 -&gt; 7。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>grid = [[1,0,7],[2,0,6],[3,4,5],[0,3,0],[9,0,20]]\n<strong>输出:</strong>28\n<strong>解释:</strong>\n[[1,0,7],\n [2,0,6],\n [3,4,5],\n [0,3,0],\n [9,0,20]]\n一种收集最多黄金的路线是1 -&gt; 2 -&gt; 3 -&gt; 4 -&gt; 5 -&gt; 6 -&gt; 7。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= grid.length,&nbsp;grid[i].length &lt;= 15</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 100</code></li>\n\t<li>最多 <strong>25 </strong>个单元格中有黄金。</li>\n</ul>\n",
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