#199 Products of Array Excluding Self

Write a function that takes an array of integers nums and returns a new array where each element at index i contains the result of multiplying all numbers in the input array together, excluding the number at index i.

You can assume that none of the multiplication results will exceed the maximum value that can be stored in a 32-bit integer.

Follow-up: Could you solve it in O(n) time without using the division operation?

Constraints:

• 2 ≤ nums.length ≤ 1000
• -20 ≤ nums[i] ≤ 20

Examples:

// Example 1:

const nums1 = [1, 2, 4, 6];
console.log(productExceptSelf(nums1));
// Output: [48, 24, 12, 8]


// Example 2:

const nums2 = [-1, 0, 1, 2, 3];
console.log(productExceptSelf(nums2));
// Output: [0, -6, 0, 0, 0]