Product of Array Except Self

In this blog, we will discuss the "Product of Array Except Self" problem, which is a popular problem in coding interviews. We will go through the problem statement, explain the approach, and provide both brute force and optimal solutions. Additionally, we will perform a dry run of the code for better understanding and analyze the time and space complexity of each solution. Contents [ hide ] Problem Statement with Example Given an integer array nums , the task is to return an array answer such that answer[i] is equal to the product of all the elements of nums except nums[i] . The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer. You must write an algorithm that runs in O(n) time and without using the division operation. Let's consider an example to understand the problem: Example 1: Input: nums = [1, 2, 3, 4] Output: [24, 12, 8, 6] Explanation: The product of all elements except the element at index 0 is 2*3*4 = 24 ....