Problem:
Score : 500 points

Problem Statement

For an integer n not less than 0, let us define f(n) as follows:

f(n) = 1 (if n < 2)

f(n) = n f(n-2) (if n \geq 2)

Given is an integer N. Find the number of trailing zeros in the decimal notation of f(N).

Constraints

0 \leq N \leq 10^{18}

Input

Input is given from Standard Input in the following format:

N

Output

Print the number of trailing zeros in the decimal notation of f(N).

Sample Input 1

12

Sample Output 1

1

f(12) = 12 × 10 × 8 × 6 × 4 × 2 = 46080, which has one trailing zero.

Sample Input 2

5

Sample Output 2

0

f(5) = 5 × 3 × 1 = 15, which has no trailing zeros.

Sample Input 3

1000000000000000000

Sample Output 3

124999999999999995

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
class ProgramE
    {
        static void Main(string[] args)
        {
            
            //入力
            string input = Console.ReadLine();
            long n = long.Parse(input);

            if( n % 2 == 1)
            {
                Console.WriteLine("0");
                return;
            }

            long count = 0;
            long keta = 1;
            long temp = -1;
 
            while(temp != 0)
            {
                temp = n / (long)(Math.Pow(5,keta)) / 2;
                count += temp;
                keta++;
            }

            Console.WriteLine(count);
            
        }
        
    }