POJ 2243 - Knight Moves (A*)

B - Knight Moves

Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u

Submit Status Practice POJ 2243

Appoint description: System Crawler  (2016-01-13)System Crawler  (2016-01-21)

Description

A friend of you is doing research on the Traveling Knight Problem (TKP) where you are to find the shortest closed tour of knight moves that visits each square of a given set of n squares on a chessboard exactly once. He thinks that the most difficult part of the problem is determining the smallest number of knight moves between two given squares and that, once you have accomplished this, finding the tour would be easy. 
Of course you know that it is vice versa. So you offer him to write a program that solves the "difficult" part. 

Your job is to write a program that takes two squares a and b as input and then determines the number of knight moves on a shortest route from a to b.

Input

The input will contain one or more test cases. Each test case consists of one line containing two squares separated by one space. A square is a string consisting of a letter (a-h) representing the column and a digit (1-8) representing the row on the chessboard.

Output

For each test case, print one line saying "To get from xx to yy takes n knight moves.".

Sample Input

e2 e4a1 b2b2 c3a1 h8a1 h7h8 a1b1 c3f6 f6

Sample Output

To get from e2 to e4 takes 2 knight moves.To get from a1 to b2 takes 4 knight moves.To get from b2 to c3 takes 2 knight moves.To get from a1 to h8 takes 6 knight moves.To get from a1 to h7 takes 5 knight moves.To get from h8 to a1 takes 6 knight moves.To get from b1 to c3 takes 1 knight moves.To get from f6 to f6 takes 0 knight moves.

#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>#include <queue>using namespace std;#define N 10struct node{    int f,g,h;    int x,y,s;    friend bool operator <(const node &a,const node &b){        return a.f>b.f;    }};char a,c;int b,d;int fx,fy,ex,ey;bool vis[N][N];priority_queue<node> q;int vx[]={1,1,2,2,-1,-1,-2,-2};int vy[]={2,-2,1,-1,2,-2,1,-1};bool check(int x,int y){    if (x<0 || x>7 || y<0 || y>7)        return false;    return true;}int Heuristic(node a){    return (abs(a.x-ex)+abs(a.y-ey))*10;}int bfs(){    while (!q.empty())        q.pop();    memset(vis,0,sizeof(vis));    node cur,com;    cur.x=fx; cur.y=fy;    cur.s=cur.g=0;    cur.h=Heuristic(cur);    cur.f=cur.g+cur.h;    q.push(cur);    while (!q.empty()){        cur=q.top(); q.pop();        vis[cur.x][cur.y]=1;        if (cur.x==ex && cur.y==ey)            return cur.s;        for (int i=0;i<8;i++){            com=cur;            com.x+=vx[i];            com.y+=vy[i];            com.s++;            if (check(com.x,com.y) && !vis[com.x][com.y]){                com.g+=23;                com.h=Heuristic(com);                com.f=com.g+com.h;                q.push(com);            }        }    }    return -1;}int main(){    while (scanf("%c%d %c%d",&a,&b,&c,&d)!=EOF){        getchar();        fx=a-'a';        fy=b-1;        ex=c-'a';        ey=d-1;        //cout<<fx<<fy<<' '<<ex<<ey<<endl;        int ans=bfs();        printf("To get from %c%d to %c%d takes %d knight moves.\n",a,b,c,d,ans);    }    return 0;}