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### by Sumit Chourasia | Nov 18, 2020 | Category :coding | Tags : algorithmarraydata-structureleetcodemedium #### Product of Array Except Self - Array - Medium - LeetCode

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).

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

``````public class Solution {
public int[] ProductExceptSelf(int[] nums) {
int totalProduct = 1;
int zero = 0;
for(int i=0;i<nums.Length;i++){
if(nums[i]==0){
zero++;
}
else{
totalProduct *= nums[i];
}
}

for(int i=0;i<nums.Length;i++){
if(zero>1){
nums[i]=0;
}
else if(zero==1){
if(nums[i]==0){
nums[i]=totalProduct;
}
else{
nums[i]=0;
}
}
else{
nums[i]=totalProduct/nums[i];
}
}

return nums;
}
}``````

Time Complexity: O(n)

Space Complexity: O(1)