#abc148e. [abc148_e]Double Factorial

[abc148_e]Double Factorial

Problem Statement

For an integer nn not less than 00, let us define f(n)f(n) as follows:

  • f(n)=1f(n) = 1 (if n<2n < 2)
  • f(n)=nf(n2)f(n) = n f(n-2) (if ngeq2n \\geq 2)

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

Constraints

  • 0leqNleq10180 \\leq N \\leq 10^{18}

Input

Input is given from Standard Input in the following format:

NN

Output

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


Sample Input 1

12

Sample Output 1

1

f(12)=12×10×8×6×4×2=46080f(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=15f(5) = 5 × 3 × 1 = 15, which has no trailing zeros.


Sample Input 3

1000000000000000000

Sample Output 3

124999999999999995