Leetcode no. 238

238. Product of Array Except Self

Given an array of n integers where n > 1,

nums

,
return an array

output

such that

output[i]

is
equal to the product of all the elements of

nums

except

nums[i]

.

Solve it without division and in O(n).

For example, given

[1,2,3,4]

, return

[24,12,8,6]

.

Follow up:

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

Simple Java solution in O(n) without extra space

public class Solution {
public int[] productExceptSelf(int[] nums) {
int n = nums.length;
int[] res = new int
;
res[0] = 1;
for (int i = 1; i < n; i++) {
res[i] = res[i - 1] * nums[i - 1];
}
int right = 1;
for (int i = n - 1; i >= 0; i--) {
res[i] *= right;
right *= nums[i];
}
return res;
}
}