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leetcode-problemset/leetcode-cn/originData/special-positions-in-a-binary-matrix.json
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"question": {
"questionId": "1704",
"questionFrontendId": "1582",
"categoryTitle": "Algorithms",
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"title": "Special Positions in a Binary Matrix",
"titleSlug": "special-positions-in-a-binary-matrix",
"content": "<p>Given an <code>m x n</code> binary matrix <code>mat</code>, return <em>the number of special positions in </em><code>mat</code><em>.</em></p>\n\n<p>A position <code>(i, j)</code> is called <strong>special</strong> if <code>mat[i][j] == 1</code> and all other elements in row <code>i</code> and column <code>j</code> are <code>0</code> (rows and columns are <strong>0-indexed</strong>).</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/23/special1.jpg\" style=\"width: 244px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1,0,0],[0,0,1],[1,0,0]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> (1, 2) is a special position because mat[1][2] == 1 and all other elements in row 1 and column 2 are 0.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/12/24/special-grid.jpg\" style=\"width: 244px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1,0,0],[0,1,0],[0,0,1]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> (0, 0), (1, 1) and (2, 2) are special positions.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>mat[i][j]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
"translatedTitle": "二进制矩阵中的特殊位置",
"translatedContent": "<p>给你一个大小为 <code>rows x cols</code> 的矩阵 <code>mat</code>,其中 <code>mat[i][j]</code> 是 <code>0</code> 或 <code>1</code>,请返回 <strong>矩阵&nbsp;<em><code>mat</code></em> 中特殊位置的数目</strong> 。</p>\n\n<p><strong>特殊位置</strong> 定义:如果 <code>mat[i][j] == 1</code> 并且第 <code>i</code> 行和第 <code>j</code> 列中的所有其他元素均为 <code>0</code>(行和列的下标均 <strong>从 0 开始</strong> ),则位置 <code>(i, j)</code> 被称为特殊位置。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>mat = [[1,0,0],\n&nbsp; [0,0,<strong>1</strong>],\n&nbsp; [1,0,0]]\n<strong>输出:</strong>1\n<strong>解释:</strong>(1,2) 是一个特殊位置,因为 mat[1][2] == 1 且所处的行和列上所有其他元素都是 0\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>mat = [[<strong>1</strong>,0,0],\n&nbsp; [0,<strong>1</strong>,0],\n&nbsp; [0,0,<strong>1</strong>]]\n<strong>输出:</strong>3\n<strong>解释:</strong>(0,0), (1,1) 和 (2,2) 都是特殊位置\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>mat = [[0,0,0,<strong>1</strong>],\n&nbsp; [<strong>1</strong>,0,0,0],\n&nbsp; [0,1,1,0],\n&nbsp; [0,0,0,0]]\n<strong>输出:</strong>2\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>mat = [[0,0,0,0,0],\n&nbsp; [<strong>1</strong>,0,0,0,0],\n&nbsp; [0,<strong>1</strong>,0,0,0],\n&nbsp; [0,0,<strong>1</strong>,0,0],\n&nbsp; [0,0,0,1,1]]\n<strong>输出:</strong>3\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>rows == mat.length</code></li>\n\t<li><code>cols == mat[i].length</code></li>\n\t<li><code>1 &lt;= rows, cols &lt;= 100</code></li>\n\t<li><code>mat[i][j]</code> 是 <code>0</code> 或 <code>1</code></li>\n</ul>\n",
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