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leetcode-problemset/leetcode-cn/originData/maximum-number-of-fish-in-a-grid.json
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"categoryTitle": "Algorithms",
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"title": "Maximum Number of Fish in a Grid",
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"content": "<p>You are given a <strong>0-indexed</strong> 2D matrix <code>grid</code> of size <code>m x n</code>, where <code>(r, c)</code> represents:</p>\n\n<ul>\n\t<li>A <strong>land</strong> cell if <code>grid[r][c] = 0</code>, or</li>\n\t<li>A <strong>water</strong> cell containing <code>grid[r][c]</code> fish, if <code>grid[r][c] &gt; 0</code>.</li>\n</ul>\n\n<p>A fisher can start at any <strong>water</strong> cell <code>(r, c)</code> and can do the following operations any number of times:</p>\n\n<ul>\n\t<li>Catch all the fish at cell <code>(r, c)</code>, or</li>\n\t<li>Move to any adjacent <strong>water</strong> cell.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> number of fish the fisher can catch if he chooses his starting cell optimally, or </em><code>0</code> if no water cell exists.</p>\n\n<p>An <strong>adjacent</strong> cell of the cell <code>(r, c)</code>, is one of the cells <code>(r, c + 1)</code>, <code>(r, c - 1)</code>, <code>(r + 1, c)</code> or <code>(r - 1, c)</code> if it exists.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/29/example.png\" style=\"width: 241px; height: 161px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,2,1,0],[4,0,0,3],[1,0,0,4],[0,3,2,0]]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The fisher can start at cell <code>(1,3)</code> and collect 3 fish, then move to cell <code>(2,3)</code>&nbsp;and collect 4 fish.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/29/example2.png\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The fisher can start at cells (0,0) or (3,3) and collect a single fish. \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;= 10</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 10</code></li>\n</ul>\n",
"translatedTitle": "网格图中鱼的最大数目",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始大小为 <code>m x n</code>&nbsp;的二维整数数组&nbsp;<code>grid</code>&nbsp;,其中下标在&nbsp;<code>(r, c)</code>&nbsp;处的整数表示:</p>\n\n<ul>\n\t<li>如果&nbsp;<code>grid[r][c] = 0</code>&nbsp;,那么它是一块 <strong>陆地</strong>&nbsp;。</li>\n\t<li>如果&nbsp;<code>grid[r][c] &gt; 0</code>&nbsp;,那么它是一块&nbsp;<strong>水域</strong>&nbsp;,且包含&nbsp;<code>grid[r][c]</code>&nbsp;条鱼。</li>\n</ul>\n\n<p>一位渔夫可以从任意 <strong>水域</strong>&nbsp;格子&nbsp;<code>(r, c)</code>&nbsp;出发,然后执行以下操作任意次:</p>\n\n<ul>\n\t<li>捕捞格子&nbsp;<code>(r, c)</code>&nbsp;处所有的鱼,或者</li>\n\t<li>移动到相邻的 <strong>水域</strong>&nbsp;格子。</li>\n</ul>\n\n<p>请你返回渔夫最优策略下,&nbsp;<strong>最多</strong>&nbsp;可以捕捞多少条鱼。如果没有水域格子,请你返回 <code>0</code>&nbsp;。</p>\n\n<p>格子&nbsp;<code>(r, c)</code>&nbsp;<strong>相邻</strong>&nbsp;的格子为&nbsp;<code>(r, c + 1)</code>&nbsp;<code>(r, c - 1)</code>&nbsp;<code>(r + 1, c)</code> 和&nbsp;<code>(r - 1, c)</code>&nbsp;,前提是相邻格子在网格图内。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/29/example.png\" style=\"width: 241px; height: 161px;\"></p>\n\n<pre><b>输入:</b>grid = [[0,2,1,0],[4,0,0,3],[1,0,0,4],[0,3,2,0]]\n<b>输出:</b>7\n<b>解释:</b>渔夫可以从格子 <code>(1,3)</code> 出发,捕捞 3 条鱼,然后移动到格子 <code>(2,3)</code>&nbsp;,捕捞 4 条鱼。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/29/example2.png\"></p>\n\n<pre><b>输入:</b>grid = [[1,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]\n<b>输出:</b>1\n<b>解释:</b>渔夫可以从格子 (0,0) 或者 (3,3) ,捕捞 1 条鱼。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</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;= 10</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 10</code></li>\n</ul>\n",
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