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Product of Array Except Self

MediumArrays & Strings

Given an array nums, return an array where each element is the product of all elements except itself. Do not use division.

Output space-separated.

Example:

Input:
1,2,3,4
Output:
24 12 8 6
Reasoning:
  • First, we calculate the total product of all elements: 1⋅2⋅3⋅4=241 \cdot 2 \cdot 3 \cdot 4 = 24
  • Then, for each element, we find the product of all other elements by using the total product and the current element:
    • For the first element (1), the product is 2⋅3⋅4=242 \cdot 3 \cdot 4 = 24
    • For the second element (2), the product is 1⋅3⋅4=121 \cdot 3 \cdot 4 = 12
    • For the third element (3), the product is 1⋅2⋅4=81 \cdot 2 \cdot 4 = 8
    • For the fourth element (4), the product is 1⋅2⋅3=61 \cdot 2 \cdot 3 = 6
  • The final output is the array of these products: 24 12 8 6

Constraints:

  • 2 <= len(nums) <= 10^5
  • -30 <= nums[i] <= 30
  • The product of any prefix or suffix fits in a 32-bit integer
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