hdu 4474 Yet Another Multiple Problem(按位枚举，4级)

Yet Another Multiple Problem

Time Limit: 40000/20000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

Total Submission(s): 1754 Accepted Submission(s): 435



Problem Description

There are tons of problems about integer multiples. Despite the fact that the topic is not original, the content is highly challenging. That’s why we call it “Yet Another Multiple Problem”.

In this problem, you’re asked to solve the following question: Given a positive integer n and m decimal digits, what is the minimal positive multiple of n whose decimal notation does not contain any of the given digits?

Input

There are several test cases.

For each test case, there are two lines. The first line contains two integers n and m (1 ≤ n ≤ 104). The second line contains m decimal digits separated by spaces.

Input is terminated by EOF.

Output

For each test case, output one line “Case X: Y” where X is the test case number (starting from 1) while Y is the minimal multiple satisfying the above-mentioned conditions or “-1” (without quotation marks) in case there does not exist such a multiple.

Sample Input

2345 3
7 8 9
100 1
0

Sample Output

Case 1: 2345
Case 2: -1

Source

2012 Asia Chengdu Regional Contest

Recommend

liuyiding

思路：就是数位DP常用的思路，按位枚举。只是这换成了广搜。

模数最多10000 所以最多产生10000个数。

#include<cstdio>
#include<cstring>
#include<iostream>
#define FOR(i,a,b) for(int i=a;i<=b;++i)
#define clr(f,z) memset(f,z,sizeof(f))
using namespace std;
const int mm=5e5+9;
class bit
{
public:int c,sum,fa;
}Q[mm];
int l,r;
bool ten[11],vis[mm],flag;
int n,m;
void out(int x)
{
if(Q[x].fa!=-1)
out(Q[x].fa);
printf("%d",Q[x].c);
}
void getans()
{  int ret;
l=0,r=0;flag=0;
FOR(i,1,9)
if(!ten[i])
{
Q[r].c=i;Q[r].sum=i%n;Q[r].fa=-1;
ret=Q[r].sum;++r;
vis[ ret ]=1;
if(ret==0)
{ flag=1;//puts("yes");cout<<i<<endl;
out(r-1);return;
}
}
while(l<r)
{
FOR(i,0,9)
if(!ten[i])
{
Q[r].c=i;Q[r].sum=(Q[l].sum*10+i)%n;Q[r].fa=l;
ret=Q[r].sum;
if(ret==0){out(r);flag=1;return;}
if(!vis[ ret ]){++r;vis[ret]=1;}
}
++l;
}
}
int main()
{ int a,cas=0;
while(~scanf("%d%d",&n,&m))
{ clr(ten,0);
clr(vis,0);
printf("Case %d: ",++cas);
FOR(i,1,m)
{
scanf("%d",&a);
ten[a]=1;
}
getans();
if(flag)puts("");
else puts("-1");
}
}