leetcode-problemset/leetcode-cn/originData/count-cells-in-overlapping-horizontal-and-vertical-substrings.json

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        "question": {
            "questionId": "3821",
            "questionFrontendId": "3529",
            "categoryTitle": "Algorithms",
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            "title": "Count Cells in Overlapping Horizontal and Vertical Substrings",
            "titleSlug": "count-cells-in-overlapping-horizontal-and-vertical-substrings",
            "content": "<p>You are given an <code>m x n</code> matrix <code>grid</code> consisting of characters and a string <code>pattern</code>.</p>\n\n<p>A <strong data-end=\"264\" data-start=\"240\">horizontal substring</strong> is a contiguous sequence of characters read from left to right. If the end of a row is reached before the substring is complete, it wraps to the first column of the next row and continues as needed. You do <strong>not</strong> wrap from the bottom row back to the top.</p>\n\n<p>A <strong data-end=\"484\" data-start=\"462\">vertical substring</strong> is a contiguous sequence of characters read from top to bottom. If the bottom of a column is reached before the substring is complete, it wraps to the first row of the next column and continues as needed. You do <strong>not</strong> wrap from the last column back to the first.</p>\n\n<p>Count the number of cells in the matrix that satisfy the following condition:</p>\n\n<ul>\n\t<li>The cell must be part of <strong>at least</strong> one horizontal substring and <strong>at least</strong> one vertical substring, where <strong>both</strong> substrings are equal to the given <code>pattern</code>.</li>\n</ul>\n\n<p>Return the count of these cells.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/03/03/gridtwosubstringsdrawio.png\" style=\"width: 150px; height: 187px;\" />\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;a&quot;,&quot;a&quot;,&quot;c&quot;,&quot;c&quot;],[&quot;b&quot;,&quot;b&quot;,&quot;b&quot;,&quot;c&quot;],[&quot;a&quot;,&quot;a&quot;,&quot;b&quot;,&quot;a&quot;],[&quot;c&quot;,&quot;a&quot;,&quot;a&quot;,&quot;c&quot;],[&quot;a&quot;,&quot;a&quot;,&quot;b&quot;,&quot;a&quot;]], pattern = &quot;abaca&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The pattern <code>&quot;abaca&quot;</code> appears once as a horizontal substring (colored blue) and once as a vertical substring (colored red), intersecting at one cell (colored purple).</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/03/03/gridexample2fixeddrawio.png\" style=\"width: 150px; height: 150px;\" />\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;c&quot;,&quot;a&quot;,&quot;a&quot;,&quot;a&quot;],[&quot;a&quot;,&quot;a&quot;,&quot;b&quot;,&quot;a&quot;],[&quot;b&quot;,&quot;b&quot;,&quot;a&quot;,&quot;a&quot;],[&quot;a&quot;,&quot;a&quot;,&quot;b&quot;,&quot;a&quot;]], pattern = &quot;aba&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The cells colored above are all part of at least one horizontal and one vertical substring matching the pattern <code>&quot;aba&quot;</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;a&quot;]], pattern = &quot;a&quot;</span></p>\n\n<p><strong>Output:</strong> 1</p>\n</div>\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;= 1000</code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= pattern.length &lt;= m * n</code></li>\n\t<li><code>grid</code> and <code>pattern</code> consist of only lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "统计水平子串和垂直子串重叠格子的数目",
            "translatedContent": "<p>给你一个由字符组成的 <code>m x n</code> 矩阵 <code>grid</code> 和一个字符串 <code>pattern</code>。</p>\n\n<p><strong data-end=\"264\" data-start=\"240\">水平子串</strong> 是从左到右的一段连续字符序列。如果子串到达了某行的末尾，它将换行并从下一行的第一个字符继续。<strong>不会&nbsp;</strong>从最后一行回到第一行。</p>\n\n<p><strong data-end=\"484\" data-start=\"462\">垂直子串</strong> 是从上到下的一段连续字符序列。如果子串到达了某列的底部，它将换列并从下一列的第一个字符继续。<strong>不会&nbsp;</strong>从最后一列回到第一列。</p>\n\n<p>请统计矩阵中满足以下条件的单元格数量：</p>\n\n<ul>\n\t<li>该单元格必须属于 <strong>至少</strong>&nbsp;一个等于 <code>pattern</code>&nbsp;的水平子串，且属于 <strong>至少</strong> 一个等于 <code>pattern</code>&nbsp;的垂直子串。</li>\n</ul>\n\n<p>返回满足条件的单元格数量。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n<img alt=\"\" src=\"https://pic.leetcode.cn/1745660164-PjoTAy-gridtwosubstringsdrawio.png\" style=\"width: 150px; height: 187px;\" />\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\"a\",\"a\",\"c\",\"c\"],[\"b\",\"b\",\"b\",\"c\"],[\"a\",\"a\",\"b\",\"a\"],[\"c\",\"a\",\"a\",\"c\"],[\"a\",\"a\",\"b\",\"a\"]], pattern = \"abaca\"</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><code>\"abaca\"</code> 作为一个水平子串（蓝色）和一个垂直子串（红色）各出现一次，并在一个单元格（紫色）处相交。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n<img alt=\"\" src=\"https://pic.leetcode.cn/1745660201-bMoajW-gridexample2fixeddrawio.png\" style=\"width: 150px; height: 150px;\" />\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\"c\",\"a\",\"a\",\"a\"],[\"a\",\"a\",\"b\",\"a\"],[\"b\",\"b\",\"a\",\"a\"],[\"a\",\"a\",\"b\",\"a\"]], pattern = \"aba\"</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>上述被标记的单元格都同时属于至少一个&nbsp;<code>\"aba\"</code> 的水平和垂直子串。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\"a\"]], pattern = \"a\"</span></p>\n\n<p><strong>输出：</strong> 1</p>\n</div>\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;= 1000</code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= pattern.length &lt;= m * n</code></li>\n\t<li><code>grid</code> 和 <code>pattern</code> 仅由小写英文字母组成。</li>\n</ul>\n",
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                "Use a string hashing or pattern matching algorithm to efficiently find all horizontal and vertical occurrences of the pattern in the grid.",
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