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 <= 10^{9}

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