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Find The Multiple

Posted on 2016-05-06 20:52  蓝空  阅读(136)  评论(0编辑  收藏  举报

Find The Multiple
Time Limit:1000MS     Memory Limit:10000KB     64bit IO Format:%I64d & %I64u

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



直接爆搜

#include<cstdio>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<iostream>
#include<algorithm>
#include<vector>
#include<map>
#include<queue>
#include<stack>
#include<string>
#include<map>
#include<set>
#include<ctime>
#define eps 1e-6
#define MAX 10005
#define INF 0x3f3f3f3f
#define LL long long
#define pii pair<int,int>
#define rd(x) scanf("%d",&x)
#define rd2(x,y) scanf("%d%d",&x,&y)
#define rd3(x,y,z) scanf("%d%d%d",&x,&y,&z)
///map<int,int>mmap;
///map<int,int >::iterator it;
using namespace std;
bool found;
void DFS(unsigned __int64 t,int n,int k)
{
    if(found)   return ;
    if(t%n==0)
    {
        printf("%I64u\n",t);
        found=true;
        return ;
    }
    if(k==19)//到第19层,回溯
        return ;
    DFS(t*10,n,k+1);    
    DFS(t*10+1,n,k+1);    
}
int main()
{
    int n;
    for(int i=1;i<200;i++)
    {
        found=false;
        DFS(1,i,0);    //从1开始搜n的倍数,第三个参数代表搜的层数,当到第19层时返回(因为第20层64位整数存不下)
    }
    return 0;
}