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leetcode-problemset/leetcode-cn/originData/maximum-score-of-a-good-subarray.json
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{
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"questionFrontendId": "1793",
"categoryTitle": "Algorithms",
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"title": "Maximum Score of a Good Subarray",
"titleSlug": "maximum-score-of-a-good-subarray",
"content": "<p>You are given an array of integers <code>nums</code> <strong>(0-indexed)</strong> and an integer <code>k</code>.</p>\n\n<p>The <strong>score</strong> of a subarray <code>(i, j)</code> is defined as <code>min(nums[i], nums[i+1], ..., nums[j]) * (j - i + 1)</code>. A <strong>good</strong> subarray is a subarray where <code>i &lt;= k &lt;= j</code>.</p>\n\n<p>Return <em>the maximum possible <strong>score</strong> of a <strong>good</strong> subarray.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,3,7,4,5], k = 3\n<strong>Output:</strong> 15\n<strong>Explanation:</strong> The optimal subarray is (1, 5) with a score of min(4,3,7,4,5) * (5-1+1) = 3 * 5 = 15. \n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,5,4,5,4,1,1,1], k = 0\n<strong>Output:</strong> 20\n<strong>Explanation:</strong> The optimal subarray is (0, 4) with a score of min(5,5,4,5,4) * (4-0+1) = 4 * 5 = 20.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= k &lt; nums.length</code></li>\n</ul>\n",
"translatedTitle": "好子数组的最大分数",
"translatedContent": "<p>给你一个整数数组 <code>nums</code> <strong>(下标从 0 开始)</strong>和一个整数 <code>k</code> 。</p>\n\n<p>一个子数组 <code>(i, j)</code> 的 <strong>分数</strong> 定义为 <code>min(nums[i], nums[i+1], ..., nums[j]) * (j - i + 1)</code> 。一个 <strong>好</strong> 子数组的两个端点下标需要满足 <code>i &lt;= k &lt;= j</code> 。</p>\n\n<p>请你返回 <strong>好</strong> 子数组的最大可能 <strong>分数</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>nums = [1,4,3,7,4,5], k = 3\n<b>输出:</b>15\n<b>解释:</b>最优子数组的左右端点下标是 (1, 5) ,分数为 min(4,3,7,4,5) * (5-1+1) = 3 * 5 = 15 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>nums = [5,5,4,5,4,1,1,1], k = 0\n<b>输出:</b>20\n<b>解释:</b>最优子数组的左右端点下标是 (0, 4) ,分数为 min(5,5,4,5,4) * (4-0+1) = 4 * 5 = 20 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= k &lt; nums.length</code></li>\n</ul>\n",
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"Using two pointers or binary search, we can find the maximum prefix of each array where the numbers are less than or equal to a certain value"
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