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Python: Find k number of pairs which consists of one element from the first array and one element from the second array


You have two integer arrays sorted in ascending order and an integer k. Write a Python program to find k number of pairs (u, v) which consist of one element from the first array and one element from the second array using the heap queue algorithm.

Sample Solution:

Python Code:

import heapq
def k_Smallest_Pairs(nums1, nums2, k):
   queue = []
   def push(i, j):
       if i < len(nums1) and j < len(nums2):
           heapq.heappush(queue, [nums1[i] + nums2[j], i, j])
   push(0, 0)
   pairs = []
   while queue and len(pairs) < k:
       _, i, j = heapq.heappop(queue)
       pairs.append([nums1[i], nums2[j]])
       push(i, j + 1)
       if j == 0:
           push(i + 1, 0)
   return pairs
nums1 = [1,3,7]
nums2 = [2,4,6]
k = 2
result = k_Smallest_Pairs(nums1, nums2, k)
print(result)

Sample Output:

[[1, 2], [1, 4]]

Flowchart:

Python heap queue algorithm: Find k number of pairs which consists of one element from the first array and one element from the second array.

Python Code Editor:

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