mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
200 lines
21 KiB
JSON
200 lines
21 KiB
JSON
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"questionId": "698",
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"categoryTitle": "Algorithms",
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"title": "Partition to K Equal Sum Subsets",
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"content": "<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return <code>true</code> if it is possible to divide this array into <code>k</code> non-empty subsets whose sums are all equal.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,3,2,3,5,2,1], k = 4\n<strong>Output:</strong> true\n<strong>Explanation:</strong> It is possible to divide it into 4 subsets (5), (1, 4), (2,3), (2,3) with equal sums.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], k = 3\n<strong>Output:</strong> false\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= k <= nums.length <= 16</code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\n\t<li>The frequency of each element is in the range <code>[1, 4]</code>.</li>\n</ul>\n",
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"translatedTitle": "划分为k个相等的子集",
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"translatedContent": "<p>给定一个整数数组 <code>nums</code> 和一个正整数 <code>k</code>，找出是否有可能把这个数组分成 <code>k</code> 个非空子集，其总和都相等。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong> nums = [4, 3, 2, 3, 5, 2, 1], k = 4\n<strong>输出：</strong> True\n<strong>说明：</strong> 有可能将其分成 4 个子集（5），（1,4），（2,3），（2,3）等于总和。</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [1,2,3,4], k = 3\n<strong>输出:</strong> false</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= k <= len(nums) <= 16</code></li>\n\t<li><code>0 < nums[i] < 10000</code></li>\n\t<li>每个元素的频率在 <code>[1,4]</code> 范围内</li>\n</ul>\n",
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"We can figure out what target each subset must sum to. Then, let's recursively search, where at each call to our function, we choose which of k subsets the next value will join."
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