find-k-pairs-with-smallest-sums

find-k-pairs-with-smallest-sums


You are given two integer arrays nums1 and nums2 sorted in ascending order and an integer k.



Define a pair (u, v) which consists of one element from the first array and one element from the second array.



Return the k pairs (u1, v1), (u2, v2), ..., (uk, vk) with the smallest sums.



 


Example 1:



Input: nums1 = [1,7,11], nums2 = [2,4,6], k = 3
Output: [[1,2],[1,4],[1,6]]
Explanation: 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]


Example 2:



Input: nums1 = [1,1,2], nums2 = [1,2,3], k = 2
Output: [[1,1],[1,1]]
Explanation: 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]


Example 3:



Input: nums1 = [1,2], nums2 = [3], k = 3
Output: [[1,3],[2,3]]
Explanation: All possible pairs are returned from the sequence: [1,3],[2,3]


 


Constraints:




  • 1 <= nums1.length, nums2.length <= 105

  • -109 <= nums1[i], nums2[i] <= 109

  • nums1 and nums2 both are sorted in ascending order.

  • 1 <= k <= 104


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