LeetCode-in-Dart

238. 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.

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:

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.)

Solution

class Solution {
  List<int> productExceptSelf(List<int> nums) {
    int product = 1;
    List<int> ans = List.filled(nums.length, 0);

    // Calculate total product of all elements
    for (int num in nums) {
      product *= num;
    }

    // Fill in the result array
    for (int i = 0; i < nums.length; i++) {
      if (nums[i] != 0) {
        ans[i] = product ~/ nums[i]; // Integer division
      } else {
        int p = 1;
        for (int j = 0; j < nums.length; j++) {
          if (j != i) {
            p *= nums[j];
          }
        }
        ans[i] = p;
      }
    }

    return ans;
  }
}