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238. Product of Array Except Self

Given an array nums of n integers where n > 1, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].

Example:

Input: [1,2,3,4]
Output: [24,12,8,6]

Constraint: It's guaranteed that the product of the elements of any prefix or suffix of the array (including the whole array) fits in a 32 bit integer.

Note: Please solve it without division and in O(n).

Follow up:

Could you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)

Solutions (Rust)

1. Solution

impl Solution {
    pub fn product_except_self(nums: Vec<i32>) -> Vec<i32> {
        let mut product_l = 1;
        let mut product_r = 1;
        let mut ret = vec![1; nums.len()];

        for i in 0..nums.len() {
            let j = nums.len() - 1 - i;

            ret[i] *= product_l;
            ret[j] *= product_r;

            product_l *= nums[i];
            product_r *= nums[j];
        }

        ret
    }
}