mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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190 lines
29 KiB
JSON
190 lines
29 KiB
JSON
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"questionId": "2726",
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"categoryTitle": "Algorithms",
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"title": "Minimum Reverse Operations",
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"content": "<p>You are given an integer <code>n</code> and an integer <code>p</code> representing an array <code>arr</code> of length <code>n</code> where all elements are set to 0's, except position <code>p</code> which is set to 1. You are also given an integer array <code>banned</code> containing restricted positions. Perform the following operation on <code>arr</code>:</p>\n\n<ul>\n\t<li>Reverse a <span data-keyword=\"subarray-nonempty\"><strong>subarray</strong></span> with size <code>k</code> if the single 1 is not set to a position in <code>banned</code>.</li>\n</ul>\n\n<p>Return an integer array <code>answer</code> with <code>n</code> results where the <code>i<sup>th</sup></code> result is<em> </em>the <strong>minimum</strong> number of operations needed to bring the single 1 to position <code>i</code> in <code>arr</code>, or -1 if it is impossible.</p>\n\n<p> </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\">n = 4, p = 0, banned = [1,2], k = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0,-1,-1,1]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Initially 1 is placed at position 0 so the number of operations we need for position 0 is 0.</li>\n\t<li>We can never place 1 on the banned positions, so the answer for positions 1 and 2 is -1.</li>\n\t<li>Perform the operation of size 4 to reverse the whole array.</li>\n\t<li>After a single operation 1 is at position 3 so the answer for position 3 is 1.</li>\n</ul>\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\">n = 5, p = 0, banned = [2,4], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0,-1,-1,-1,-1]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Initially 1 is placed at position 0 so the number of operations we need for position 0 is 0.</li>\n\t<li>We cannot perform the operation on the subarray positions <code>[0, 2]</code> because position 2 is in banned.</li>\n\t<li>Because 1 cannot be set at position 2, it is impossible to set 1 at other positions in more operations.</li>\n</ul>\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\">n = 4, p = 2, banned = [0,1,3], k = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[-1,-1,0,-1]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Perform operations of size 1 and 1 never changes its position.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= p <= n - 1</code></li>\n\t<li><code>0 <= banned.length <= n - 1</code></li>\n\t<li><code>0 <= banned[i] <= n - 1</code></li>\n\t<li><code>1 <= k <= n </code></li>\n\t<li><code>banned[i] != p</code></li>\n\t<li>all values in <code>banned</code> are <strong>unique</strong> </li>\n</ul>\n",
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"translatedTitle": "最少翻转操作数",
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"translatedContent": "<p>给你一个整数 <code>n</code> 和一个在范围 <code>[0, n - 1]</code> 以内的整数 <code>p</code> ,它们表示一个长度为 <code>n</code> 且下标从 <strong>0</strong> 开始的数组 <code>arr</code> ,数组中除了下标为 <code>p</code> 处是 <code>1</code> 以外,其他所有数都是 <code>0</code> 。</p>\n\n<p>同时给你一个整数数组 <code>banned</code> ,它包含数组中的一些位置。<code>banned</code> 中第 <strong>i</strong> 个位置表示 <code>arr[banned[i]] = 0</code> ,题目保证 <code>banned[i] != p</code> 。</p>\n\n<p>你可以对 <code>arr</code> 进行 <strong>若干次</strong> 操作。一次操作中,你选择大小为 <code>k</code> 的一个 <strong>子数组</strong> ,并将它 <b>翻转</b> 。在任何一次翻转操作后,你都需要确保 <code>arr</code> 中唯一的 <code>1</code> 不会到达任何 <code>banned</code> 中的位置。换句话说,<code>arr[banned[i]]</code> 始终 <strong>保持</strong> <code>0</code> 。</p>\n\n<p>请你返回一个数组 <code>ans</code> ,对于<em> </em><code>[0, n - 1]</code> 之间的任意下标 <code>i</code> ,<code>ans[i]</code> 是将 <code>1</code> 放到位置 <code>i</code> 处的 <strong>最少</strong> 翻转操作次数,如果无法放到位置 <code>i</code> 处,此数为 <code>-1</code> 。</p>\n\n<ul>\n\t<li><strong>子数组</strong> 指的是一个数组里一段连续 <strong>非空</strong> 的元素序列。</li>\n\t<li>对于所有的 <code>i</code> ,<code>ans[i]</code> 相互之间独立计算。</li>\n\t<li>将一个数组中的元素 <strong>翻转</strong> 指的是将数组中的值变成 <strong>相反顺序</strong> 。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<b>输入:</b>n = 4, p = 0, banned = [1,2], k = 4\n<b>输出:</b>[0,-1,-1,1]\n<b>解释:</b><code>k = 4,所以只有一种可行的翻转操作,就是将整个数组翻转。一开始 </code>1<strong> </strong>在位置 0 处,所以将它翻转到位置 0 处需要的操作数为 0 。\n我们不能将 1 翻转到 banned 中的位置,所以位置 1 和 2 处的答案都是 -1 。\n通过一次翻转操作,可以将 1 放到位置 3 处,所以位置 3 的答案是 1 。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<b>输入:</b>n = 5, p = 0, banned = [2,4], k = 3\n<b>输出:</b>[0,-1,-1,-1,-1]\n<b>解释:</b>这个例子中 1 一开始在位置 0 处,所以此下标的答案为 0 。\n翻转的子数组长度为 k = 3 ,1 此时在位置 0 处,所以我们可以翻转子数组 [0, 2],但翻转后的下标 2 在 banned 中,所以不能执行此操作。\n由于 1 没法离开位置 0 ,所以其他位置的答案都是 -1 。\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<b>输入:</b>n = 4, p = 2, banned = [0,1,3], k = 1\n<b>输出:</b>[-1,-1,0,-1]\n<b>解释:</b>这个例子中,我们只能对长度为 1 的子数组执行翻转操作,所以 1 无法离开初始位置。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= p <= n - 1</code></li>\n\t<li><code>0 <= banned.length <= n - 1</code></li>\n\t<li><code>0 <= banned[i] <= n - 1</code></li>\n\t<li><code>1 <= k <= n </code></li>\n\t<li><code>banned[i] != p</code></li>\n\t<li><code>banned</code> 中的值 <strong>互不相同</strong> 。</li>\n</ul>\n",
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