UVA - 439——Knight Moves

末蓝、 2022-03-26 03:41 156阅读 0赞

#                                             [Knight Moves][] #

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 file 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 e4

a1 b2

b2 c3

a1 h8

a1 h7

h8 a1

b1 c3

f6 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.

###  题意描述： ###

在国际象棋里8\*8的棋盘，按照国际象棋里的走“日”字走法，问从一个方格走到另一个方格的最短步数。

![watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2tvbmdzYW5qaW4_size_16_color_FFFFFF_t_70][]

### 解题思路： ###

从开始点运用广搜队列查找第一个先找到的终点方格的就是最小步数。

### 程序代码： ###

#include<stdio.h>
    #include<string.h>
    struct A
    {
    	int x;
    	int y;
    	int s;
    }q[70];
    int book[10][10];
    char s1[5],s2[5];
    int xx[8][2]={-1,-2,
    			  -2,-1,
    			  -2,1,
    			  -1,2,
    			  1,2,
    			  2,1,
    			  2,-1,
    			  1,-2};
    int bfs(int a,int b,int c,int d)
    {
    	int head,tail,i,j,tx,ty,k;
    	memset(book,0,sizeof(book));
    	head=tail=0;
    	q[tail].x=a;
    	q[tail].y=b;
    	q[tail].s=0;
    	book[a][b]=1;
    	tail++;
    	while(head<tail)
    	{
    		if(q[head].x==c&&q[head].y==d)
    			return q[head].s;
    		
    		for(k=0;k<8;k++)
    		{
    			tx=q[head].x+xx[k][0];
    			ty=q[head].y+xx[k][1];
    			if(tx>=1&&tx<=8&&ty>=1&&ty<=8&&book[tx][ty]==0)
    			{
    				q[tail].x=tx;
    				q[tail].y=ty;
    				q[tail].s=q[head].s+1;
    				tail++;
    				book[tx][ty]=1;
    			}
    		}
    		head++;
    	}
    	return -1;
    }
    int main()
    {
    	int num,a,b,c,d;
    	while(scanf("%s%s",s1,s2)!=EOF)
    	{
    		a=s1[0]-96;
    		b=s1[1]-'0';
    		c=s2[0]-96;
    		d=s2[1]-'0';
    		num=bfs(a,b,c,d);
    		printf("To get from %s to %s takes %d knight moves.\n",s1,s2,num); 
    	}
    	return 0;
    }

[Knight Moves]: https://vjudge.net/problem/UVA-439
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2tvbmdzYW5qaW4_size_16_color_FFFFFF_t_70]: /images/20220326/06b26deb88c642caa6883c1d2d3108b7.png