Problem: kth Missing Element in a Sequence

Given a strictly increasing sequence of integers VEC, identify the Kth missing contiguous integer element that is not present in the sequence, starting from the leftmost element of the sequence.

Input:

The first line of input contains an integer 'T' denoting the number of test cases.

For each test case:
- The first line contains an integer 'N', denoting the number of elements in the array/list.
- The second line contains 'N' space-separated integers, representing the elements of the array/list.
- The third line contains an integer 'K', which specifies the Kth missing element to find.

Output:

For each test case, output the 'Kth' missing contiguous element from the given sequence.

Example:

Input:
VEC = {1, 4, 5, 7}
K = 3
Explanation:
Numbers 2, 3, and 6 are missing. Since 6 is the third missing element, it is the required answer.

Constraints:

  • 1 <= T <= 10^2
  • 1 <= N <= 10^4
  • 1 <= K <= 10^9
  • -10^9 <= VEC[i] <= 10^9

Note:

You do not need to print anything; it is already handled. Your task is to implement the required function.

Additional Challenge:

Attempt to solve the problem with a time complexity of O(log(N)).
AnswerBot
4mo

Find the kth missing element in a sequence of integers.

  • Iterate through the sequence to find missing elements.

  • Keep track of the count of missing elements found.

  • Return the kth missing element once count...read more

Help your peers!
Select
Add answer anonymously...

Top Software Developer Interview Questions Asked at Athenahealth Technology

Q. Which data structure is better for your use case: a B Tree or a Hash Table?
Q. Reverse the String Problem Statement You are given a string STR which contains a...read more
Q. Remove Character from String Problem Statement Given a string str and a characte...read more
Software Developer Interview Questions
Stay ahead in your career. Get AmbitionBox app
play-icon
play-icon
qr-code
Trusted by over 1.5 Crore job seekers to find their right fit company
80 L+

Reviews

10L+

Interviews

4 Cr+

Salaries

1.5 Cr+

Users

Contribute to help millions

Made with ❤️ in India. Trademarks belong to their respective owners. All rights reserved © 2025 Info Edge (India) Ltd.

Follow Us
  • Youtube
  • Instagram
  • LinkedIn
  • Facebook
  • Twitter
Profile Image
Hello, Guest
AmbitionBox Employee Choice Awards 2025
Winners announced!
awards-icon
Contribute to help millions!
Write a review
Write a review
Share interview
Share interview
Contribute salary
Contribute salary
Add office photos
Add office photos
Add office benefits
Add office benefits