leetcode-problemset/leetcode-cn/originData/equal-sum-grid-partition-i.json

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        "question": {
            "questionId": "3849",
            "questionFrontendId": "3546",
            "categoryTitle": "Algorithms",
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            "title": "Equal Sum Grid Partition I",
            "titleSlug": "equal-sum-grid-partition-i",
            "content": "<p>You are given an <code>m x n</code> matrix <code>grid</code> of positive integers. Your task is to determine if it is possible to make <strong>either one horizontal or one vertical cut</strong> on the grid such that:</p>\n\n<ul>\n\t<li>Each of the two resulting sections formed by the cut is <strong>non-empty</strong>.</li>\n\t<li>The sum of the elements in both sections is <strong>equal</strong>.</li>\n</ul>\n\n<p>Return <code>true</code> if such a partition exists; otherwise return <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[1,4],[2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/03/30/lc.png\" style=\"width: 200px;\" /><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/03/30/lc.jpeg\" style=\"width: 200px; height: 200px;\" /></p>\n\n<p>A horizontal cut between row 0 and row 1 results in two non-empty sections, each with a sum of 5. Thus, the answer is <code>true</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[1,3],[2,4]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No horizontal or vertical cut results in two non-empty sections with equal sums. Thus, the answer is <code>false</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= m == grid.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= n == grid[i].length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "等和矩阵分割 I",
            "translatedContent": "<p>给你一个由正整数组成的 <code>m x n</code> 矩阵 <code>grid</code>。你的任务是判断是否可以通过&nbsp;<strong>一条水平或一条垂直分割线&nbsp;</strong>将矩阵分割成两部分，使得：</p>\n\n<ul>\n\t<li>分割后形成的每个部分都是&nbsp;<strong>非空&nbsp;</strong>的。</li>\n\t<li>两个部分中所有元素的和&nbsp;<strong>相等&nbsp;</strong>。</li>\n</ul>\n\n<p>如果存在这样的分割，返回 <code>true</code>；否则，返回 <code>false</code>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> grid = [[1,4],[2,3]]</p>\n\n<p><strong>输出：</strong> true</p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://pic.leetcode.cn/1746839596-kWigaF-lc.jpeg\" style=\"height: 200px; width: 200px;\" /></p>\n\n<p>在第 0 行和第 1 行之间进行水平分割，得到两个非空部分，每部分的元素之和为 5。因此，答案是 <code>true</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> grid = [[1,3],[2,4]]</p>\n\n<p><strong>输出：</strong> false</p>\n\n<p><strong>解释：</strong></p>\n\n<p>无论是水平分割还是垂直分割，都无法使两个非空部分的元素之和相等。因此，答案是 <code>false</code>。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= m == grid.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= n == grid[i].length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n",
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                "There are two types of cuts: a <code>horizontal</code> cut or a <code>vertical</code> cut.",
                "For a <code>horizontal</code> cut at row <code>r</code> (0 <= r <m - 1), split <code>grid</code> into rows 0...r vs. r+1...m-1 and compare their sums.",
                "For a <code>vertical</code> cut at column <code>c</code> (0 <= c < n - 1), split <code>grid</code> into columns 0...c vs. c+1...n-1 and compare their sums.",
                "Brute‑force all possible <code>r</code> and <code>c</code> cuts; if any yields equal section sums, return <code>true</code>."
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