For an integer N find the number of trailing zeroes in N!.
Example 1:
Input: N = 5 Output: 1 Explanation: 5! = 120 so the number of trailing zero is 1.
Example 2:
Input: N = 4 Output: 0 Explanation: 4! = 24 so the number of trailing zero is 0.
Your Task:
You don't need to read input or print anything. Your task is to complete the function trailingZeroes() which take an integer N as an input parameter and returns the count of trailing zeroes in the N!.
Expected Time Complexity: O(logN)
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 109