mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
183 lines
22 KiB
JSON
183 lines
22 KiB
JSON
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"questionId": "2504",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1842590,
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"title": "Find All Good Indices",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> of size <code>n</code> and a positive integer <code>k</code>.</p>\n\n<p>We call an index <code>i</code> in the range <code>k <= i < n - k</code> <strong>good</strong> if the following conditions are satisfied:</p>\n\n<ul>\n\t<li>The <code>k</code> elements that are just <strong>before</strong> the index <code>i</code> are in <strong>non-increasing</strong> order.</li>\n\t<li>The <code>k</code> elements that are just <strong>after</strong> the index <code>i</code> are in <strong>non-decreasing</strong> order.</li>\n</ul>\n\n<p>Return <em>an array of all good indices sorted in <strong>increasing</strong> order</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,1,1,3,4,1], k = 2\n<strong>Output:</strong> [2,3]\n<strong>Explanation:</strong> There are two good indices in the array:\n- Index 2. The subarray [2,1] is in non-increasing order, and the subarray [1,3] is in non-decreasing order.\n- Index 3. The subarray [1,1] is in non-increasing order, and the subarray [3,4] is in non-decreasing order.\nNote that the index 4 is not good because [4,1] is not non-decreasing.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,1,2], k = 2\n<strong>Output:</strong> []\n<strong>Explanation:</strong> There are no good indices in this array.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>3 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>6</sup></code></li>\n\t<li><code>1 <= k <= n / 2</code></li>\n</ul>\n",
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"translatedTitle": "找到所有好下标",
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"translatedContent": "<p>给你一个大小为 <code>n</code> 下标从 <strong>0</strong> 开始的整数数组 <code>nums</code> 和一个正整数 <code>k</code> 。</p>\n\n<p>对于 <code>k <= i < n - k</code> 之间的一个下标 <code>i</code> ,如果它满足以下条件,我们就称它为一个 <strong>好</strong> 下标:</p>\n\n<ul>\n\t<li>下标 <code>i</code> <strong>之前</strong> 的 <code>k</code> 个元素是 <strong>非递增的</strong> 。</li>\n\t<li>下标 <code>i</code> <strong>之后</strong> 的 <code>k</code> 个元素是 <strong>非递减的</strong> 。</li>\n</ul>\n\n<p>按 <strong>升序</strong> 返回所有好下标。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<b>输入:</b>nums = [2,1,1,1,3,4,1], k = 2\n<b>输出:</b>[2,3]\n<b>解释:</b>数组中有两个好下标:\n- 下标 2 。子数组 [2,1] 是非递增的,子数组 [1,3] 是非递减的。\n- 下标 3 。子数组 [1,1] 是非递增的,子数组 [3,4] 是非递减的。\n注意,下标 4 不是好下标,因为 [4,1] 不是非递减的。</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<b>输入:</b>nums = [2,1,1,2], k = 2\n<b>输出:</b>[]\n<b>解释:</b>数组中没有好下标。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>3 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>6</sup></code></li>\n\t<li><code>1 <= k <= n / 2</code></li>\n</ul>\n",
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"Iterate over all indices i. How do you quickly check the two conditions?",
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"Precompute for each index whether the conditions are satisfied on the left and the right of the index. You can do that with two iterations, from left to right and right to left."
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