A. Amity Assessment

time limit per test2 seconds

memory limit per test256 megabytes

inputstandard input

outputstandard output

Bessie the cow and her best friend Elsie each received a sliding puzzle on Pi Day. Their puzzles consist of a 2 × 2 grid and three tiles labeled ‘A’, ‘B’, and ‘C’. The three tiles sit on top of the grid, leaving one grid cell empty. To make a move, Bessie or Elsie can slide a tile adjacent to the empty cell into the empty cell as shown below:

In order to determine if they are truly Best Friends For Life (BFFLs), Bessie and Elsie would like to know if there exists a sequence of moves that takes their puzzles to the same configuration (moves can be performed in both puzzles). Two puzzles are considered to be in the same configuration if each tile is on top of the same grid cell in both puzzles. Since the tiles are labeled with letters, rotations and reflections are not allowed.

Input

The first two lines of the input consist of a 2 × 2 grid describing the initial configuration of Bessie’s puzzle. The next two lines contain a 2 × 2 grid describing the initial configuration of Elsie’s puzzle. The positions of the tiles are labeled ‘A’, ‘B’, and ‘C’, while the empty cell is labeled ‘X’. It’s guaranteed that both puzzles contain exactly one tile with each letter and exactly one empty position.

Output

Output “YES”(without quotes) if the puzzles can reach the same configuration (and Bessie and Elsie are truly BFFLs). Otherwise, print “NO” (without quotes).

Examples

input

AB

XC

XB

AC

output

YES

input

AB

XC

AC

BX

output

NO

我直接暴力来的

#include <iostream>

#include <string.h>

#include <stdlib.h>

#include <algorithm>

#include <math.h>

#include <stdio.h>

#include <queue>

#include <map>

using namespace std;

int dir[4][2]={{1,0},{-1,0},{0,1},{0,-1}};

int vis[5000];

struct Node

{

    int a[2][2];

    int s;

    int posx;

    int posy;

    Node(){};

    Node(int a[2][2],int s,int posx,int posy)

    {

        this->s=s;

        this->posx=posx;

        this->posy=posy;

        memcpy(this->a,a,sizeof(this->a));

    }

};

Node st,ed;

map<char,int>m;

int kt(int a[2][2])

{

    int num=0;

    for(int i=0;i<2;i++)

        for(int j=0;j<2;j++)

           num=num*10+a[i][j];

    return num;

}

int bfs(Node st)

{

    queue<Node>q;

    q.push(st);

    while(!q.empty())

    {

        Node term=q.front();

        q.pop();

        if(term.s==ed.s)

        {

            return 1;

        }

        for(int i=0;i<4;i++)

        {

            int xx=term.posx+dir[i][0];

            int yy=term.posy+dir[i][1];

            if(xx<0||xx>=2||yy<0||yy>=2)

                continue;

            swap(term.a[term.posx][term.posy],term.a[xx][yy]);

            int state=kt(term.a);

            if(vis[state])

            {

                swap(term.a[term.posx][term.posy],term.a[xx][yy]);

                continue;

            }

            vis[state]=1;

            q.push(Node(term.a,state,xx,yy));

            swap(term.a[term.posx][term.posy],term.a[xx][yy]);

        }

    }

    return 0;

}

int main()

{

    m['A']=1;m['B']=2;m['C']=3;m['X']=0;

    char b1[2][2];

    memset(vis,0,sizeof(vis));

    for(int i=0;i<=1;i++)

        scanf("%s",b1[i]);

    for(int i=0;i<=1;i++)

        for(int j=0;j<=1;j++)

        {

            st.a[i][j]=m[b1[i][j]];

            if(b1[i][j]=='X')

                st.posx=i,st.posy=j;

        }

    st.s=kt(st.a);

    for(int i=0;i<=1;i++)

        scanf("%s",b1[i]);

    for(int i=0;i<=1;i++)

        for(int j=0;j<=1;j++)

        {

            ed.a[i][j]=m[b1[i][j]];

            if(b1[i][j]=='X')

                ed.posx=i,ed.posy=j;

        }

    ed.s=kt(ed.a);

    if(bfs(st))

        printf("YES\n");

    else

        printf("NO\n");

    return 0;

}