leetcode-problemset/leetcode-cn/originData/minimum-white-tiles-after-covering-with-carpets.json

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            "questionId": "2311",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum White Tiles After Covering With Carpets",
            "titleSlug": "minimum-white-tiles-after-covering-with-carpets",
            "content": "<p>You are given a <strong>0-indexed binary</strong> string <code>floor</code>, which represents the colors of tiles on a floor:</p>\n\n<ul>\n\t<li><code>floor[i] = &#39;0&#39;</code> denotes that the <code>i<sup>th</sup></code> tile of the floor is colored <strong>black</strong>.</li>\n\t<li>On the other hand, <code>floor[i] = &#39;1&#39;</code> denotes that the <code>i<sup>th</sup></code> tile of the floor is colored <strong>white</strong>.</li>\n</ul>\n\n<p>You are also given <code>numCarpets</code> and <code>carpetLen</code>. You have <code>numCarpets</code> <strong>black</strong> carpets, each of length <code>carpetLen</code> tiles. Cover the tiles with the given carpets such that the number of <strong>white</strong> tiles still visible is <strong>minimum</strong>. Carpets may overlap one another.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of white tiles still visible.</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/2022/02/10/ex1-1.png\" style=\"width: 400px; height: 73px;\" />\n<pre>\n<strong>Input:</strong> floor = &quot;10110101&quot;, numCarpets = 2, carpetLen = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \nThe figure above shows one way of covering the tiles with the carpets such that only 2 white tiles are visible.\nNo other way of covering the tiles with the carpets can leave less than 2 white tiles visible.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/02/10/ex2.png\" style=\"width: 353px; height: 123px;\" />\n<pre>\n<strong>Input:</strong> floor = &quot;11111&quot;, numCarpets = 2, carpetLen = 3\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> \nThe figure above shows one way of covering the tiles with the carpets such that no white tiles are visible.\nNote that the carpets are able to overlap one another.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= carpetLen &lt;= floor.length &lt;= 1000</code></li>\n\t<li><code>floor[i]</code> is either <code>&#39;0&#39;</code> or <code>&#39;1&#39;</code>.</li>\n\t<li><code>1 &lt;= numCarpets &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "用地毯覆盖后的最少白色砖块",
            "translatedContent": "<p>给你一个下标从<strong>&nbsp;0</strong>&nbsp;开始的 <strong>二进制</strong>&nbsp;字符串&nbsp;<code>floor</code>&nbsp;，它表示地板上砖块的颜色。</p>\n\n<ul>\n\t<li><code>floor[i] = '0'</code>&nbsp;表示地板上第&nbsp;<code>i</code>&nbsp;块砖块的颜色是 <strong>黑色</strong>&nbsp;。</li>\n\t<li><code>floor[i] = '1'</code>&nbsp;表示地板上第&nbsp;<code>i</code>&nbsp;块砖块的颜色是 <strong>白色</strong>&nbsp;。</li>\n</ul>\n\n<p>同时给你&nbsp;<code>numCarpets</code> 和&nbsp;<code>carpetLen</code>&nbsp;。你有&nbsp;<code>numCarpets</code>&nbsp;条&nbsp;<strong>黑色</strong>&nbsp;的地毯，每一条&nbsp;<strong>黑色</strong>&nbsp;的地毯长度都为&nbsp;<code>carpetLen</code>&nbsp;块砖块。请你使用这些地毯去覆盖砖块，使得未被覆盖的剩余 <strong>白色</strong>&nbsp;砖块的数目 <strong>最小</strong>&nbsp;。地毯相互之间可以覆盖。</p>\n\n<p>请你返回没被覆盖的白色砖块的 <strong>最少</strong>&nbsp;数目。</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/2022/02/10/ex1-1.png\" style=\"width: 400px; height: 73px;\"></p>\n\n<pre><b>输入：</b>floor = \"10110101\", numCarpets = 2, carpetLen = 2\n<b>输出：</b>2\n<b>解释：</b>\n上图展示了剩余 2 块白色砖块的方案。\n没有其他方案可以使未被覆盖的白色砖块少于 2 块。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/02/10/ex2.png\" style=\"width: 353px; height: 123px;\"></p>\n\n<pre><b>输入：</b>floor = \"11111\", numCarpets = 2, carpetLen = 3\n<b>输出：</b>0\n<b>解释：</b>\n上图展示了所有白色砖块都被覆盖的一种方案。\n注意，地毯相互之间可以覆盖。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= carpetLen &lt;= floor.length &lt;= 1000</code></li>\n\t<li><code>floor[i]</code> 要么是&nbsp;<code>'0'</code>&nbsp;，要么是&nbsp;<code>'1'</code>&nbsp;。</li>\n\t<li><code>1 &lt;= numCarpets &lt;= 1000</code></li>\n</ul>\n",
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                "Can you think of a DP solution?",
                "Let DP[i][j] denote the minimum number of white tiles still visible from indices i to floor.length-1 after covering with at most j carpets.",
                "The transition will be whether to put down the carpet at position i (if possible), or not."
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