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1074 - 马的移动

小明很喜欢下国际象棋,一天,他拿着国际象棋中的“马”时突然想到一个问题:
给定两个棋盘上的方格a和b,马从a跳到b最少需要多少步?
现请你编程解决这个问题。

提示:国际象棋棋盘为8格*8格,马的走子规则为,每步棋先横走或直走一格,然后再往外斜走一格。

Input

输入包含多组测试数据。每组输入由两个方格组成,每个方格包含一个小写字母(a~h),表示棋盘的列号,和一个整数(1~8),表示棋盘的行号。

Output

对于每组输入,输出一行“To get from xx to yy takes n knight moves.”。

Examples

Input

e2 e4
a1 b2
b2 c3
a1 h8
a1 h7
h8 a1
b1 c3
f6 f6

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.

Solution C

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
main()
{
	int time,times[8][8]={0, 3, 2, 3, 2, 3, 4, 5, 3, 2, 1, 2, 3, 4, 3, 4, 2, 1, 4, 3, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 3, 4, 2, 3, 2, 3, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 3, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 6};
	char x[3],y[3];
	while(scanf("%s%s",&x,&y)!=EOF)
	{
		if((strcmp(x,"a1\0")==0 && strcmp(y,"b2\0")==0)||(strcmp(x,"a8\0")==0 && strcmp(y,"b7\0")==0)||(strcmp(x,"h1\0")==0 && strcmp(y,"g2\0")==0)||(strcmp(x,"h8\0")==0 && strcmp(y,"g7\0")==0)||(strcmp(x,"b2\0")==0 && strcmp(y,"a1\0")==0)||(strcmp(x,"b7\0")==0 && strcmp(y,"a8\0")==0)||(strcmp(x,"g2\0")==0 && strcmp(y,"h1\0")==0)||(strcmp(x,"g7\0")==0 && strcmp(y,"h8\0")==0))
		{
			time=4;
		}
		else
		{
			time=times[abs(x[0]-y[0])][abs(x[1]-y[1])];
		}
		printf("To get from %s to %s takes %d knight moves.\n",x,y,time);
	}
	return 0;
}

Solution C++

#include<stdio.h>
#include<string.h>
#include<queue>
using namespace std;

struct K
{
	int x,y,step;
}start,end;

char s[3],e[3];
int f[][2]={{-1,-2},{-2,-1},{-2,1},{-1,2},{1,2},{2,1},{2,-1},{1,-2}},v[8][8];

int bfs()
{
	memset(v,0,sizeof(v));
	struct K head,tail;
	queue<struct K> q;
	q.push(start);
	start.step=0;
	v[start.x][start.y]=1;
	while(!q.empty())
	{
		head=q.front();
		q.pop();
		for(int i=0;i<8;i++)
		{
			tail.x=head.x+f[i][0];
			tail.y=head.y+f[i][1];
			tail.step=head.step+1;
			if(!v[tail.x][tail.y]&&tail.x>=0&&tail.x<8&&tail.y>=0&&tail.y<8)
			{
				if(tail.x==end.x&&tail.y==end.y)
					return tail.step;
				v[tail.x][tail.y]=1;
				q.push(tail);
			}
		}
	}
}

int main()
{
	while(scanf("%s%s",s,e)!=EOF)
	{
		start.x=s[1]-'0'-1;
		start.y=s[0]-'a';
		end.x=e[1]-'0'-1;
		end.y=e[0]-'a';
		if(!strcmp(s,e))
			printf("To get from %s to %s takes 0 knight moves.\n",s,e);
		else
			printf("To get from %s to %s takes %d knight moves.\n",s,e,bfs());
	}
	return 0;
}
Time Limit 1 second
Memory Limit 32 MB
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