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

#include <stdio.h>

/**
 * Note: The returned array must be malloced, assume caller calls free().
 */
int* productExceptSelf(int* nums, int numsSize, int* returnSize) {
    int* ans = (int*)malloc(numsSize * sizeof(int));
    int product = 1;

    // Calculate the product of all elements
    for (int i = 0; i < numsSize; i++) {
        product *= nums[i];
    }

    // Calculate the result for each element
    for (int i = 0; i < numsSize; i++) {
        if (nums[i] != 0) {
            ans[i] = product / nums[i];
        } else {
            int p = 1;
            for (int j = 0; j < numsSize; j++) {
                if (j != i) {
                    p *= nums[j];
                }
            }
            ans[i] = p;
        }
    }

    *returnSize = numsSize;
    return ans;
}