Maximize Fixed Positions After Deletions

Last updated: August 1, 2026

Quick Overview

This question asks the candidate to devise an algorithm that maximizes the number of fixed positions in an array after a series of deletions.

Point72
Coding & Algorithms
Software Engineer
Point72
August 1, 2026
Software Engineer
Online Assessment
Coding & Algorithms
Hard

7

0

55 solved


This question asks the candidate to devise an algorithm that maximizes the number of fixed positions in an array after a series of deletions.

This question is typically asked during an online assessment round to evaluate a candidate's problem-solving skills and understanding of algorithms. The interviewer is looking for the candidate's ability to analyze the problem, develop an efficient solution, and articulate their thought process. This question also tests the candidate's coding proficiency and their ability to handle edge cases effectively.

What the Interviewer Expects
  • Clearly define the problem and constraints.
  • Outline a structured approach to solve the problem.
  • Implement a correct and efficient algorithm.
  • Discuss time and space complexity of the solution.
  • Handle edge cases and provide explanations.
Key Topics to Cover
Dynamic Programming
Greedy Algorithms
Array Manipulation
Complexity Analysis
How to Approach This
  1. Clarify input constraints and edge cases before writing code.
  2. Walk through your approach verbally and confirm with the interviewer before coding.
  3. Start with a brute force solution, then optimize. Mention time and space complexity.
  4. Test your solution with examples, including edge cases like empty input or duplicates.
  5. Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
  • Can you explain your thought process while developing the algorithm?
  • What would you change if the array could contain negative numbers?
  • How would you optimize your solution further?
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Sample Answer
Approach

To maximize the number of fixed positions after deletions, we need to analyze the array and understand the impact of each deletion. A fixed position is defined as an index where the value equals the i...

Algorithm
  1. Initialize a count of fixed positions.
  2. Iterate through the array and for each element, check if it is equal to its index. If it is, increment the count.
  3. Create a strategy to decide which ...

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