Given a positive integer n, write a program to find out a nonzero multiple m of n whose decimal representation contains only the digits 0 and 1. You may assume that n is not greater than 200 and there is a corresponding m containing no more than 100 decimal digits.

Input

The input file may contain multiple test cases. Each line contains a value of n (1 <= n <= 200). A line containing a zero terminates the input.

Output

For each value of n in the input print a line containing the corresponding value of m. The decimal representation of m must not contain more than 100 digits. If there are multiple solutions for a given value of n, any one of them is acceptable.

Sample Input

2
6
19
0

Sample Output

10
100100100100100100
111111111111111111 题意:找到只由0或1组成的小于100位的数能够整除题目给出的数据
 #include<iostream>
#include<queue>
using namespace std; int n;
void bfs(int x)
{ queue<long long>Q;
long long p=;
Q.push(p);
while(!Q.empty())
{
p=Q.front();
Q.pop();
if(p%n==)
{
cout<<p<<endl;
break;
}
Q.push(p*);
Q.push(p*+);
}
return ;
} int main()
{
std::ios::sync_with_stdio(false);
while(cin>>n)
{
if(n==)
break;
else
{
bfs(n);
}
}
return ;
}

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