[kuangbin带你飞]专题一 简单搜索 E. Find The Multiple

Posted 2022-04-01 vampire6

Find The Multiple

题目链接：https://vjudge.net/contest/65959#problem/E

题目：

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：给出一个整数n，(1 <= n <= 200)。求出任意一个它的倍数m，要求十进制m必须只由十进制的‘0‘或‘1‘组成。
思路：bfs，，将1压入队列中，进行1*10,1*10+1；就变成1->10,11，将10,11再压入队列中，进行操作，10->100,101,11->110,111.....

//
// Created by hjy on 2019/7/10.
//
#include<iostream>
#include<queue>
#include<cstring>
#include<cstdio>
using namespace std;
typedef long long ll;
int m;
void bfs(ll x)

    queue<ll>qu;
    qu.push(x);
    while(!qu.empty())
    
        ll result=qu.front();
        qu.pop();
        if(result%m==0)
        
            cout<<result<<endl;
            return;
        
        qu.push(result*10);
        qu.push(result*10+1);

    

int main()

    while(cin>>m&&m)
    
        bfs(1);
    
    return 0;