Trailing Sifar
Execution time limit is 10 seconds
Runtime memory usage limit is 64 megabytes
Sifar is a malay word for zero or 0. In mathematics, trailing sifar is a sequence of 0s in the decimal representation of a number after which no other digits follow.
The number of trailing sifar in the decimal representation of N! (5 ≤ N ≤ 1000000) is simply the multiplicity of the prime factor 5 in N!. Given a decimal integer N, you are to find the number of trailing sifar for N!
For example, 10! = 3628800. Thus, the number of trailing sifar for 10! is 2.
Input
Each line of input contains an integer N where 5 ≤ N ≤ 1000000. The input is terminated with a line containing 0.
Output
For each test case, the output contains a line in the format Case #x: M, where x is the case number (starting from 1) and M is the number of trailing sifar for N!
Examples
Input #1
Answer #1
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