Product of Array Except Self

Try to solve the Product of Array Except Self problem.

Statement

You’re given an integer array, arr. Return a resultant array so that res[i] is equal to the product of all the elements of arr except arr[i].

Write an algorithm that runs in O(n)O(n) time without using the division operation.

Constraints:

  • 2≤2 \leq arr.length ≤103\leq 10^3
  • −30≤-30 \leq arr[i] ≤30\leq 30
  • The product of any prefix or suffix of arr is guaranteed to fit in a 32-bit integer.

Examples

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