mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
21 KiB
JSON
180 lines
21 KiB
JSON
{
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"questionId": "831",
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"questionFrontendId": "813",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1102,
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"title": "Largest Sum of Averages",
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"titleSlug": "largest-sum-of-averages",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. You can partition the array into <strong>at most</strong> <code>k</code> non-empty adjacent subarrays. The <strong>score</strong> of a partition is the sum of the averages of each subarray.</p>\n\n<p>Note that the partition must use every integer in <code>nums</code>, and that the score is not necessarily an integer.</p>\n\n<p>Return <em>the maximum <strong>score</strong> you can achieve of all the possible partitions</em>. Answers within <code>10<sup>-6</sup></code> of the actual answer will be accepted.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [9,1,2,3,9], k = 3\n<strong>Output:</strong> 20.00000\n<strong>Explanation:</strong> \nThe best choice is to partition nums into [9], [1, 2, 3], [9]. The answer is 9 + (1 + 2 + 3) / 3 + 9 = 20.\nWe could have also partitioned nums into [9, 1], [2], [3, 9], for example.\nThat partition would lead to a score of 5 + 2 + 6 = 13, which is worse.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4,5,6,7], k = 4\n<strong>Output:</strong> 20.50000\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\n\t<li><code>1 <= k <= nums.length</code></li>\n</ul>\n",
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"translatedTitle": "最大平均值和的分组",
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"translatedContent": "<p>给定数组 <code>nums</code> 和一个整数 <code>k</code> 。我们将给定的数组 <code>nums</code> 分成 <strong>最多</strong> <code>k</code> 个非空子数组，且数组内部是连续的 。 <strong>分数</strong> 由每个子数组内的平均值的总和构成。</p>\n\n<p>注意我们必须使用 <code>nums</code> 数组中的每一个数进行分组，并且分数不一定需要是整数。</p>\n\n<p>返回我们所能得到的最大 <strong>分数</strong> 是多少。答案误差在 <code>10<sup>-6</sup></code> 内被视为是正确的。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [9,1,2,3,9], k = 3\n<strong>输出:</strong> 20.00000\n<strong>解释:</strong> \nnums 的最优分组是[9], [1, 2, 3], [9]. 得到的分数是 9 + (1 + 2 + 3) / 3 + 9 = 20. \n我们也可以把 nums 分成[9, 1], [2], [3, 9]. \n这样的分组得到的分数为 5 + 2 + 6 = 13, 但不是最大值.\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [1,2,3,4,5,6,7], k = 4\n<strong>输出:</strong> 20.50000\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\n\t<li><code>1 <= k <= nums.length</code></li>\n</ul>\n",
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