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<iostream>
#include<stdio.h>
#include<string.h>
#include<queue>
using namespace std;
typedef long long ll;
ll n;
void bfs()
{
queue<ll> q;
q.push(1);
while(!q.empty())
{
ll x=q.front();
q.pop();
if(x%n==0)
{
printf("%lld\n",x);
return;
}
else
{
q.push(x*10);
q.push(x*10+1);
}
}
}
int main()
{
while(scanf("%lld",&n)&&n)
{
bfs();
}
}