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leetcode-problemset/leetcode-cn/originData/number-of-enclaves.json
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"questionId": "1073",
"questionFrontendId": "1020",
"categoryTitle": "Algorithms",
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"title": "Number of Enclaves",
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"content": "<p>You are given an <code>m x n</code> binary matrix <code>grid</code>, where <code>0</code> represents a sea cell and <code>1</code> represents a land cell.</p>\n\n<p>A <strong>move</strong> consists of walking from one land cell to another adjacent (<strong>4-directionally</strong>) land cell or walking off the boundary of the <code>grid</code>.</p>\n\n<p>Return <em>the number of land cells in</em> <code>grid</code> <em>for which we cannot walk off the boundary of the grid in any number of <strong>moves</strong></em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/02/18/enclaves1.jpg\" style=\"width: 333px; height: 333px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,0,0,0],[1,0,1,0],[0,1,1,0],[0,0,0,0]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are three 1s that are enclosed by 0s, and one 1 that is not enclosed because its on the boundary.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/02/18/enclaves2.jpg\" style=\"width: 333px; height: 333px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> All 1s are either on the boundary or can reach the boundary.\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;= 500</code></li>\n\t<li><code>grid[i][j]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
"translatedTitle": "飞地的数量",
"translatedContent": "<p>给你一个大小为 <code>m x n</code> 的二进制矩阵 <code>grid</code> ,其中 <code>0</code> 表示一个海洋单元格、<code>1</code> 表示一个陆地单元格。</p>\n\n<p>一次 <strong>移动</strong> 是指从一个陆地单元格走到另一个相邻(<strong>上、下、左、右</strong>)的陆地单元格或跨过 <code>grid</code> 的边界。</p>\n\n<p>返回网格中<strong> 无法 </strong>在任意次数的移动中离开网格边界的陆地单元格的数量。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/02/18/enclaves1.jpg\" style=\"height: 200px; width: 200px;\" />\n<pre>\n<strong>输入:</strong>grid = [[0,0,0,0],[1,0,1,0],[0,1,1,0],[0,0,0,0]]\n<strong>输出:</strong>3\n<strong>解释:</strong>有三个 1 被 0 包围。一个 1 没有被包围,因为它在边界上。\n</pre>\n\n<p><strong>示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/02/18/enclaves2.jpg\" style=\"height: 200px; width: 200px;\" />\n<pre>\n<strong>输入:</strong>grid = [[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]\n<strong>输出:</strong>0\n<strong>解释:</strong>所有 1 都在边界上或可以到达边界。\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;= 500</code></li>\n\t<li><code>grid[i][j]</code> 的值为 <code>0</code> 或 <code>1</code></li>\n</ul>\n",
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"Can you model this problem as a graph problem? Create n * m + 1 nodes where n * m nodes represents each cell of the map and one extra node to represent the exterior of the map.",
"In the map add edges between neighbors on land cells. And add edges between the exterior and land nodes which are in the boundary.\r\nReturn as answer the number of nodes that are not reachable from the exterior node."
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