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Trailing Zeros in Factorial


Problem Description

Given an integer A, return the number of trailing zeroes in A!.

Note: Your solution should be in logarithmic time complexity.



Problem Constraints

0 <= A <= 10000000



Input Format

First and only argumment is integer A.



Output Format

Return an integer, the answer to the problem.



Example Input

Input 1:

 A = 4

Input 2:

 A = 5



Example Output

Output 1:

 0

Output 2:

 1



Example Explanation

Explanation 1:

 4! = 24

Explanation 2:

 5! = 120



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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