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Learn Data Structures and Algorithms in Java

Problem: Product of Array Except Self

Understand how to solve the product of array except self problem efficiently using prefix and suffix products. This lesson teaches you to implement an O(n) time complexity algorithm without division, utilizing only constant extra space. Explore step-by-step techniques to handle array traversal and multiplication to solve this common programming challenge.

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Statement

Given an integer array nums, return an array answer where answer[i] represents the product of all elements in nums except nums[i].

You must design an algorithm that operates in O(n)O(n) time complexity and does not use the division operation.

Note: The product of any prefix or suffix of nums is guaranteed to fit in a 3232-bit integer.

Constraints:

  • 2≤2 \leq nums.length ≤105\leq 10^5 ...