leetcode-problemset/leetcode-cn/originData/stamping-the-grid.json

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        "question": {
            "questionId": "2200",
            "questionFrontendId": "2132",
            "categoryTitle": "Algorithms",
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            "title": "Stamping the Grid",
            "titleSlug": "stamping-the-grid",
            "content": "<p>You are given an <code>m x n</code> binary matrix <code>grid</code> where each cell is either <code>0</code> (empty) or <code>1</code> (occupied).</p>\n\n<p>You are then given stamps of size <code>stampHeight x stampWidth</code>. We want to fit the stamps such that they follow the given <strong>restrictions</strong> and <strong>requirements</strong>:</p>\n\n<ol>\n\t<li>Cover all the <strong>empty</strong> cells.</li>\n\t<li>Do not cover any of the <strong>occupied</strong> cells.</li>\n\t<li>We can put as <strong>many</strong> stamps as we want.</li>\n\t<li>Stamps can <strong>overlap</strong> with each other.</li>\n\t<li>Stamps are not allowed to be <strong>rotated</strong>.</li>\n\t<li>Stamps must stay completely <strong>inside</strong> the grid.</li>\n</ol>\n\n<p>Return <code>true</code> <em>if it is possible to fit the stamps while following the given restrictions and requirements. Otherwise, return</em> <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex1.png\" style=\"width: 180px; height: 237px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0]], stampHeight = 4, stampWidth = 3\n<strong>Output:</strong> true\n<strong>Explanation:</strong> We have two overlapping stamps (labeled 1 and 2 in the image) that are able to cover all the empty cells.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex2.png\" style=\"width: 170px; height: 179px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]], stampHeight = 2, stampWidth = 2 \n<strong>Output:</strong> false \n<strong>Explanation:</strong> There is no way to fit the stamps onto all the empty cells without the stamps going outside the grid.\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[r].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>grid[r][c]</code> is either <code>0</code> or <code>1</code>.</li>\n\t<li><code>1 &lt;= stampHeight, stampWidth &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "用邮票贴满网格图",
            "translatedContent": "<p>给你一个&nbsp;<code>m x n</code>&nbsp;的二进制矩阵&nbsp;<code>grid</code>&nbsp;，每个格子要么为&nbsp;<code>0</code>&nbsp;（空）要么为&nbsp;<code>1</code>&nbsp;（被占据）。</p>\n\n<p>给你邮票的尺寸为&nbsp;<code>stampHeight x stampWidth</code>&nbsp;。我们想将邮票贴进二进制矩阵中，且满足以下&nbsp;<strong>限制</strong>&nbsp;和&nbsp;<strong>要求</strong>&nbsp;：</p>\n\n<ol>\n\t<li>覆盖所有 <strong>空</strong>&nbsp;格子。</li>\n\t<li>不覆盖任何 <strong>被占据&nbsp;</strong>的格子。</li>\n\t<li>我们可以放入任意数目的邮票。</li>\n\t<li>邮票可以相互有 <strong>重叠</strong>&nbsp;部分。</li>\n\t<li>邮票不允许 <strong>旋转</strong>&nbsp;。</li>\n\t<li>邮票必须完全在矩阵 <strong>内</strong>&nbsp;。</li>\n</ol>\n\n<p>如果在满足上述要求的前提下，可以放入邮票，请返回&nbsp;<code>true</code>&nbsp;，否则返回<i>&nbsp;</i><code>false</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex1.png\" style=\"width: 180px; height: 237px;\"></p>\n\n<pre><b>输入：</b>grid = [[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0]], stampHeight = 4, stampWidth = 3\n<b>输出：</b>true\n<b>解释：</b>我们放入两个有重叠部分的邮票（图中标号为 1 和 2），它们能覆盖所有与空格子。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex2.png\" style=\"width: 170px; height: 179px;\"></p>\n\n<pre><b>输入：</b>grid = [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]], stampHeight = 2, stampWidth = 2 \n<b>输出：</b>false \n<b>解释：</b>没办法放入邮票覆盖所有的空格子，且邮票不超出网格图以外。\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[r].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>grid[r][c]</code> 要么是&nbsp;<code>0</code>&nbsp;，要么是&nbsp;<code>1</code> 。</li>\n\t<li><code>1 &lt;= stampHeight, stampWidth &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    bool possibleToStamp(vector<vector<int>>& grid, int stampHeight, int stampWidth) {\n        \n    }\n};",
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                    "code": "# @param {Integer[][]} grid\n# @param {Integer} stamp_height\n# @param {Integer} stamp_width\n# @return {Boolean}\ndef possible_to_stamp(grid, stamp_height, stamp_width)\n\nend",
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                    "code": "object Solution {\n    def possibleToStamp(grid: Array[Array[Int]], stampHeight: Int, stampWidth: Int): Boolean = {\n\n    }\n}",
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                    "code": "impl Solution {\n    pub fn possible_to_stamp(grid: Vec<Vec<i32>>, stamp_height: i32, stamp_width: i32) -> bool {\n\n    }\n}",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[][] $grid\n     * @param Integer $stampHeight\n     * @param Integer $stampWidth\n     * @return Boolean\n     */\n    function possibleToStamp($grid, $stampHeight, $stampWidth) {\n\n    }\n}",
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                "We can check if every empty cell is a part of a consecutive row of empty cells that has a width of at least stampWidth as well as a consecutive column of empty cells that has a height of at least stampHeight.",
                "We can prove that this condition is sufficient and necessary to fit the stamps while following the given restrictions and requirements.",
                "For each row, find every consecutive row of empty cells, and mark all the cells where the consecutive row is at least stampWidth wide. Do the same for the columns with stampHeight. Then, you can check if every cell is marked twice."
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