LeetCode-in-Rust

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

impl Solution {
    pub fn product_except_self(nums: Vec<i32>) -> Vec<i32> {
        let mut res = Vec::new();
        let mut prev = nums[0];
        let n = nums.len();
        
        // calc prefix
        res.push(1);
        for i in 1..n{
            let mut prod = 1;
            prod *= prev;
            prev *= nums[i];
            res.push(prod);
        }
        
        // calc suffix
        prev = nums[n - 1];
        for i in (0..n - 1).rev(){
            let mut prod = 1;
            prod *= prev;
            prev *= nums[i];
            res[i] *= prod;
        }

        res
    }
}