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
#include<cstdio>
#include<iostream>
#include<algorithm>
using namespace std;
bool f;
void dfs(__int64 x,int n,int k)
{
if(f||k==19) return;
if(x%n==0)
{
f=true;
printf("%I64d
",x);
return;
}
dfs(x*10,n,k+1);
dfs(x*10+1,n,k+1);
}
int main()
{
int n;
while(cin >> n)
{
f=false;
if(n==0) return 0;
dfs(1,n,0);
}
return 0;
}