Compute array products excluding self and top-k

Q: Compute array products excluding self and top-k

This question evaluates skills in array manipulation, in-place algorithm design, numerical stability and edge-case reasoning (such as handling multiple zeros and large products), plus selection and ranking competencies for extracting the top-k elements.

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Question

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Algorithms

1) Product of array except self (no division)

Given an integer array nums of length n, return an array ans where:

ans[i] = product of all nums[j] for j != i
You must not use division
Target time: O(n)
Extra space: O(1) beyond the output array

Follow-ups

How does your approach handle many zeros in the input?
How do you handle overflow / very large products ?

2) Find the k largest elements

Given an unsorted array of numbers and an integer k, return the k largest elements (order does not matter unless specified). Discuss time/space trade-offs for different approaches.

Compute array products excluding self and top-k

Quick Overview

Algorithms

1) Product of array except self (no division)

Follow-ups

2) Find the k largest elements

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