leetcode-problemset/leetcode-cn/originData/largest-submatrix-with-rearrangements.json

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            "title": "Largest Submatrix With Rearrangements",
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            "content": "<p>You are given a binary matrix <code>matrix</code> of size <code>m x n</code>, and you are allowed to rearrange the <strong>columns</strong> of the <code>matrix</code> in any order.</p>\n\n<p>Return <em>the area of the largest submatrix within </em><code>matrix</code><em> where <strong>every</strong> element of the submatrix is </em><code>1</code><em> after reordering the columns optimally.</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/2020/12/29/screenshot-2020-12-30-at-40536-pm.png\" style=\"width: 500px; height: 240px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[0,0,1],[1,1,1],[1,0,1]]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> You can rearrange the columns as shown above.\nThe largest submatrix of 1s, in bold, has an area of 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/12/29/screenshot-2020-12-30-at-40852-pm.png\" style=\"width: 500px; height: 62px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[1,0,1,0,1]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> You can rearrange the columns as shown above.\nThe largest submatrix of 1s, in bold, has an area of 3.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> matrix = [[1,1,0],[1,0,1]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Notice that you must rearrange entire columns, and there is no way to make a submatrix of 1s larger than an area of 2.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>matrix[i][j]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
            "translatedTitle": "重新排列后的最大子矩阵",
            "translatedContent": "<p>给你一个二进制矩阵 <code>matrix</code> ，它的大小为 <code>m x n</code> ，你可以将 <code>matrix</code> 中的 <strong>列</strong> 按任意顺序重新排列。</p>\n\n<p>请你返回最优方案下将 <code>matrix</code> 重新排列后，全是 <code>1</code> 的子矩阵面积。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/01/17/screenshot-2020-12-30-at-40536-pm.png\" style=\"width: 300px; height: 144px;\" /></strong></p>\n\n<pre>\n<b>输入：</b>matrix = [[0,0,1],[1,1,1],[1,0,1]]\n<b>输出：</b>4\n<b>解释：</b>你可以按照上图方式重新排列矩阵的每一列。\n最大的全 1 子矩阵是上图中加粗的部分，面积为 4 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/01/17/screenshot-2020-12-30-at-40852-pm.png\" style=\"width: 500px; height: 62px;\" /></p>\n\n<pre>\n<b>输入：</b>matrix = [[1,0,1,0,1]]\n<b>输出：</b>3\n<b>解释：</b>你可以按照上图方式重新排列矩阵的每一列。\n最大的全 1 子矩阵是上图中加粗的部分，面积为 3 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>matrix = [[1,1,0],[1,0,1]]\n<b>输出：</b>2\n<b>解释：</b>由于你只能整列整列重新排布，所以没有比面积为 2 更大的全 1 子矩形。</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<b>输入：</b>matrix = [[0,0],[0,0]]\n<b>输出：</b>0\n<b>解释：</b>由于矩阵中没有 1 ，没有任何全 1 的子矩阵，所以面积为 0 。</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 <= m * n <= 10<sup>5</sup></code></li>\n\t<li><code>matrix[i][j]</code> 要么是 <code>0</code> ，要么是 <code>1</code> 。</li>\n</ul>\n",
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