K-th element of two sorted Arrays
Medium Accuracy: 50.09% Submissions: 36646 Points: 4

Given two sorted arrays arr1 and arr2 of size N and M respectively and an element K. The task is to find the element that would be at the k’th position of the final sorted array.
 

Example 1:

Input:
arr1[] = {2, 3, 6, 7, 9}
arr2[] = {1, 4, 8, 10}
k = 5
Output:
6
Explanation:
The final sorted array would be -
1, 2, 3, 4, 6, 7, 8, 9, 10
The 5th element of this array is 6.
Example 2:
Input:
arr1[] = {100, 112, 256, 349, 770}
arr2[] = {72, 86, 113, 119, 265, 445, 892}
k = 7
Output:
256
Explanation:
Final sorted array is - 72, 86, 100, 112,
113, 119, 256, 265, 349, 445, 770, 892
7th element of this array is 256.


Your Task:  
You don't need to read input or print anything. Your task is to complete the function kthElement() which takes the arrays arr1[]arr2[], its size N and M respectively and an integer K as inputs and returns the element at the Kth position.


Expected Time Complexity: O(Log(N) + Log(M))
Expected Auxiliary Space: O(Log (N))


Constraints:
1 <= N, M <= 106
1 <= arr1i, arr2i < INT_MAX
1 <= K <= N+M

We are replacing the old Disqus forum with the new Discussions section given below.
Click here to view old Disqus comments.


to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

K-th element of two sorted Arrays

Output Window