HDU-6033 Add More Zero

Posted 2020-10-06 ナイト

There is a youngster known for amateur propositions concerning several mathematical hard problems.

Nowadays, he is preparing a thought-provoking problem on a specific type of supercomputer which has ability to support calculations of integers between 0 and (2m?1) (inclusive).

As a young man born with ten fingers, he loves the powers of 10 so much, which results in his eccentricity that he always ranges integers he would like to use from 1to 10k (inclusive).

For the sake of processing, all integers he would use possibly in this interesting problem ought to be as computable as this supercomputer could.

Given the positive integer m, your task is to determine maximum possible integer k that is suitable for the specific supercomputer.

 

Input

The input contains multiple test cases. Each test case in one line contains only one positive integer m, satisfying 1≤m≤105.

 

Output

For each test case, output "Case #x: y" in one line (without quotes), where x indicates the case number starting from 1 and y denotes the answer of corresponding case.

 

Sample Input

1 64

 

Sample Output

Case #1: 0

Case #2: 19

 

有一台计算机，它可以计算从0~2^m-1的所有数，一个年轻人喜欢10^k，所以他希望你能告诉他在给定的m下，能使10^k满足条件的K的最大值。

差不多这个意思吧...

那么把10^k中k可以看成是2^m-1的位数-1。即求解2^m-1的位数即可。

#include<iostream>
#include<math.h>
#define LG 0.30102999566
using namespace std;
int main()
{
    int a;
    double m;
    a=1;
    while(cin>>m)
    {
        cout<<"Case #"<<a++<<": "; 
        cout<<(int)(m*LG)<<endl;
    }
}