Determine max remainders and anagram after deletions
Company: Amazon
Role: Software Engineer
Category: Coding & Algorithms
Difficulty: Medium
Interview Round: Take-home Project
Part 1 (Array Remainders): Given an integer array A of length n with A[i] > 0. You may choose any integer array B of length n. Define C[i] = B[i] mod A[i] for 0 ≤ i < n. What is the maximum possible number of distinct values in C? Describe an efficient algorithm to compute this maximum for a given A and provide time/space complexities. Part 2 (String Similarity by Deleting One Letter Type): Given two lowercase strings s and t. In each string, you may select one letter (possibly a different letter in each string) and delete any number of occurrences of that letter (including zero). After these deletions, can s and t become anagrams (i.e., have identical letter-frequency vectors)? Design an algorithm to decide this and analyze its complexity.
Quick Answer: In the Coding & Algorithms domain, this two-part question evaluates modular arithmetic and combinatorial reasoning for maximizing distinct array remainders and frequency-vector manipulation for determining anagram feasibility after selective character deletions, while also testing algorithm design and time/space complexity analysis.
