Find The Multiple POJ - 1426

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<vector>
#include<string>
#include<queue>
#include<memory.h>
#include<algorithm>
typedef unsigned long long ull;
using namespace std;
ull n;
ull ans;
bool vis[1005];
void dfs(ull num,int depth) {
    if (ans)return;
    if (num%n == 0) {
        ans = num;
        return;
    }
    else {
        if (depth == 19)return;
        dfs(num * 10, depth + 1);
        dfs(num * 10 + 1, depth + 1);
    }
}
int main() {
    while (cin >> n) {
        if (n == 0)break;
        ans = 0;
        dfs(1, 0);
        printf("%I64u\n", ans);
    }
    return 0;
}