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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

Python heap queue algorithm: Exercise-17 with Solution

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

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m