LeetCode-in-All

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

func productExceptSelf(nums []int) []int {
	n := len(nums)
	product := 1
	ans := make([]int, n)

	// Calculate the product of all elements in the array
	for _, num := range nums {
		product *= num
	}

	// Calculate the result array
	for i := 0; i < n; i++ {
		if nums[i] != 0 {
			ans[i] = product / nums[i]
		} else {
			p := 1
			for j := 0; j < n; j++ {
				if j != i {
					p *= nums[j]
				}
			}
			ans[i] = p
		}
	}
	return ans
}