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leetcode-problemset/leetcode-cn/originData/find-k-pairs-with-smallest-sums.json
2022-05-02 23:44:12 +08:00

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{
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"question": {
"questionId": "373",
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"categoryTitle": "Algorithms",
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"title": "Find K Pairs with Smallest Sums",
"titleSlug": "find-k-pairs-with-smallest-sums",
"content": "<p>You are given two integer arrays <code>nums1</code> and <code>nums2</code> sorted in <strong>ascending order</strong> and an integer <code>k</code>.</p>\n\n<p>Define a pair <code>(u, v)</code> which consists of one element from the first array and one element from the second array.</p>\n\n<p>Return <em>the</em> <code>k</code> <em>pairs</em> <code>(u<sub>1</sub>, v<sub>1</sub>), (u<sub>2</sub>, v<sub>2</sub>), ..., (u<sub>k</sub>, v<sub>k</sub>)</code> <em>with the smallest sums</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,7,11], nums2 = [2,4,6], k = 3\n<strong>Output:</strong> [[1,2],[1,4],[1,6]]\n<strong>Explanation:</strong> The first 3 pairs are returned from the sequence: [1,2],[1,4],[1,6],[7,2],[7,4],[11,2],[7,6],[11,4],[11,6]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,1,2], nums2 = [1,2,3], k = 2\n<strong>Output:</strong> [[1,1],[1,1]]\n<strong>Explanation:</strong> The first 2 pairs are returned from the sequence: [1,1],[1,1],[1,2],[2,1],[1,2],[2,2],[1,3],[1,3],[2,3]\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,2], nums2 = [3], k = 3\n<strong>Output:</strong> [[1,3],[2,3]]\n<strong>Explanation:</strong> All possible pairs are returned from the sequence: [1,3],[2,3]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums1.length, nums2.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-10<sup>9</sup> &lt;= nums1[i], nums2[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>nums1</code> and <code>nums2</code> both are sorted in <strong>ascending order</strong>.</li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "查找和最小的 K 对数字",
"translatedContent": "<p>给定两个以 <strong>升序排列</strong> 的整数数组 <code>nums1</code> 和<strong> </strong><code>nums2</code><strong>&nbsp;</strong>,&nbsp;以及一个整数 <code>k</code><strong>&nbsp;</strong>。</p>\n\n<p>定义一对值&nbsp;<code>(u,v)</code>,其中第一个元素来自&nbsp;<code>nums1</code>,第二个元素来自 <code>nums2</code><strong>&nbsp;</strong>。</p>\n\n<p>请找到和最小的 <code>k</code>&nbsp;个数对&nbsp;<code>(u<sub>1</sub>,v<sub>1</sub>)</code>, <code>&nbsp;(u<sub>2</sub>,v<sub>2</sub>)</code> &nbsp;... &nbsp;<code>(u<sub>k</sub>,v<sub>k</sub>)</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums1 = [1,7,11], nums2 = [2,4,6], k = 3\n<strong>输出:</strong> [1,2],[1,4],[1,6]\n<strong>解释: </strong>返回序列中的前 3 对数:\n [1,2],[1,4],[1,6],[7,2],[7,4],[11,2],[7,6],[11,4],[11,6]\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入: </strong>nums1 = [1,1,2], nums2 = [1,2,3], k = 2\n<strong>输出: </strong>[1,1],[1,1]\n<strong>解释: </strong>返回序列中的前 2 对数:\n&nbsp; [1,1],[1,1],[1,2],[2,1],[1,2],[2,2],[1,3],[1,3],[2,3]\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入: </strong>nums1 = [1,2], nums2 = [3], k = 3 \n<strong>输出:</strong> [1,3],[2,3]\n<strong>解释: </strong>也可能序列中所有的数对都被返回:[1,3],[2,3]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums1.length, nums2.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-10<sup>9</sup> &lt;= nums1[i], nums2[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>nums1</code> 和 <code>nums2</code> 均为升序排列</li>\n\t<li><code>1 &lt;= k &lt;= 1000</code></li>\n</ul>\n",
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