HDU 1195 Open the Lock

Open the Lock

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 6955    Accepted Submission(s): 3130

Problem Description

Now an emergent task for you is to open a password lock. The password is consisted of four digits. Each digit is numbered from 1 to 9.
Each time, you can add or minus 1 to any digit. When add 1 to '9', the digit will change to be '1' and when minus 1 to '1', the digit will change to be '9'. You can also exchange the digit with its neighbor. Each action will take one step.

Now your task is to use minimal steps to open the lock.

Note: The leftmost digit is not the neighbor of the rightmost digit.

 

Input

The input file begins with an integer T, indicating the number of test cases.

Each test case begins with a four digit N, indicating the initial state of the password lock. Then followed a line with anotther four dight M, indicating the password which can open the lock. There is one blank line after each test case.

 

Output

For each test case, print the minimal steps in one line.

 

Sample Input

2

1234

2144

 

1111

9999

 

Sample Output

2

4

AC代码(BFS+QUEUE)

注意点：memset() 头文件为：cstring.h

#include<iostream>
#include<fstream>
#include<string>
#include<cstring>
#include<queue>
#include<memory>
using namespace std;
const int MAX=10005;
int step[MAX];
struct data
{
    int dig[4];
};
void BFS(int loc[],int pwd[])
{
    step[loc[0]*1000+loc[1]*100+loc[2]*10+loc[3]]=0;
    data beg={{loc[0],loc[1],loc[2],loc[3]}};
    queue<data> que; que.push(beg);
    while(!que.empty())
    {
        data next,cur=que.front(); que.pop();
        if(cur.dig[0]==pwd[0]&&cur.dig[1]==pwd[1]&&cur.dig[2]==pwd[2]&&cur.dig[3]==pwd[3])
        {
            cout<<step[pwd[0]*1000+pwd[1]*100+pwd[2]*10+pwd[3]]<<endl;
            break;
        }
        for(int i=0;i<4;i++)
        {
            next=cur; next.dig[i]=cur.dig[i]+1;//加1
            if(next.dig[i]>=10) next.dig[i]=1;
            int nextState=next.dig[0]*1000+next.dig[1]*100+next.dig[2]*10+next.dig[3];
            int curState=cur.dig[0]*1000+cur.dig[1]*100+cur.dig[2]*10+cur.dig[3];
            if(step[nextState]==0||step[nextState]>step[curState]+1)
            {
                step[nextState]=step[curState]+1;
                que.push(next);
            }
            next=cur;next.dig[i]=cur.dig[i]-1;//减1
            if(next.dig[i]<=0) next.dig[i]=9;
            nextState=next.dig[0]*1000+next.dig[1]*100+next.dig[2]*10+next.dig[3];
            if(step[nextState]==0||step[nextState]>step[curState]+1)
            {
                step[nextState]=step[curState]+1;
                que.push(next);
            }
            if(i<3)//交换
            {
                next=cur;
                int temp; temp=next.dig[i]; next.dig[i]=next.dig[i+1]; next.dig[i+1]=temp;
                nextState=next.dig[0]*1000+next.dig[1]*100+next.dig[2]*10+next.dig[3];
                if(step[nextState]==0||step[nextState]>step[curState]+1)
                {
                    step[nextState]=step[curState]+1;
                    que.push(next);
                }
            }
        }
    }
}
int main()
{
    //ifstream in("data.txt");
    int T;cin>>T;
    while(T--)
    {
        int loc[4],pwd[4];
        string l,p;cin>>l>>p;
        int i=0,j,steps;
        while(i<4)
        {
            loc[i]=l[i]-'0'; pwd[i]=p[i]-'0'; i++;
        }
        memset(step,0,sizeof(step));
        BFS(loc,pwd);
    }
    return 0;
}