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:
给出一个数n,找出任意一个数m,m是n的倍数且只有0与1组成。
解题思路:
BFS。从1开始,依次添0和1,即
1
10 11
100 101 110 111
......
只要找到一个满足条件的m即可结束搜索。
AC代码:
#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
queue<long long> q;
void bfs(int n)
{
while(!q.empty())
{
q.pop();
}
q.push(1);
while(!q.empty())
{
if(q.front()%n==0)
{
printf("%lld\n",q.front());
return;
}
q.push(q.front()*10);
q.push(q.front()*10+1);
q.pop();
}
}
int main()
{
int n;
while(~scanf("%d",&n)&&n)
{
bfs(n);
}
return 0;
}