poj1426 Find The Multiple 题解

Find The Multiple
Time Limit: 1000MS   Memory Limit: 10000K
Total Submissions: 23557   Accepted: 9723   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


题目大意:有多组数据,每组输入一个数,假设输入的数字为a,题目让你求一个数b, 这个数字b必须满足两个条件:(1) b%a=0   ( 2)数字b的每个位上的数字必须是0或者1,    个人比较喜欢BFS,其实这道题用深搜也挺方便。下面是我的bfs代码,数据比较大,定义long long类型


上代码:

#include <iostream>
#include<string.h>
#include<queue>
#define LL long long
using namespace std;
int n,flag;
void bfs(LL x)
{
    LL  s;
    int i;
    queue<LL>q;
    while(!q.empty())
        q.pop();
    q.push(x);
    while(!q.empty())
    {
        LL xx=q.front();
        q.pop();
        if(xx%n==0)
        {
            cout<<xx<<endl;
            return;
        }
        for(i=0; i<=1; i++)
        {
            if(i==0)
            {
                s=xx*10;
            }
            else  s=xx*10+1;
            q.push(s);

        }
    }
}
int main()
{
    while(cin>>n&&n)
    {
        bfs(1);
    }
    return 0;
}


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