LeetCode in TypeScript

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

function productExceptSelf(nums: number[]): number[] {
    const n = nums.length
    const ans: number[] = new Array(n)
    let product = 1
    // Calculate the product of all elements to the left of each element
    for (let i = 0; i < n; i++) {
        ans[i] = product
        product *= nums[i]
    }
    product = 1
    // Calculate the product of all elements to the right of each element
    for (let i = n - 1; i >= 0; i--) {
        ans[i] *= product
        product *= nums[i]
    }
    return ans
}

export { productExceptSelf }