Find The Multiple
Time Limit: 1000MS   Memory Limit: 10000K
Total Submissions: 22121   Accepted: 9081   Special Judge

Description

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

Source

Dhaka 2002

1404010917 1426 Accepted 5048K 407MS G++ 475B 2015-08-20 10:17:35 
#include<stdio.h>
#include<string.h>
#include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
int n;
long long bfs(){
   queue<long long >q;
   q.push(1);
   while(1){
       long long temp=q.front();
       q.pop();
       if(temp%n==0)
        return temp;
       q.push(temp*10);
       q.push(temp*10+1);

   }

}

int main(){
   //int t;
   while(scanf("%d",&n)!=EOF){
       if(n==0)
        break;
       printf("%lld\n",bfs());
   }
   return 0;
}