AlgoLounge

Product of Array Except Self

medium

Given an integer array nums, 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.

Examples

Example 1

Input:  nums = [1,2,3,4]
Output: [24,12,8,6]

Example 2

Input:  nums = [-1,1,0,-3,3]
Output: [0,0,9,0,0]

Constraints

  • 2 <= nums.length <= 10^5
  • -30 <= nums[i] <= 30
  • The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer

Follow up

Can you solve the problem in O(1) extra space complexity? (The output array does not count as extra space for space complexity analysis.)

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List of test cases (10)
Case 1
nums = [1,2,3,4]
Case 2
nums = [-1,1,0,-3,3]
Case 3
nums = [2,3]
Case 4
nums = [1,0]
Case 5
nums = [0,0]
Case 6
nums = [5,2,3,1]
Case 7
nums = [1,2,0,4]
Case 8
nums = [-1,-2,-3]
Case 9
nums = [10,3,5,6,2]
Case 10
nums = [1,1,1,1]