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。
输入格式:
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。
输出格式:
对于每组输入,输出一行“To get from xx to yy takes n knight moves.”。
限制:
空间限制:32MByte 时间限制:1秒
样例:
输入:e2 e4 a1 b2 b2 c3 a1 h8 a1 h7 h8 a1 b1 c3 f6 f6
输出: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.
提示:
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。
二话不说,上代码:
#include <stdio.h>
#include <queue>
#include <string.h>
using namespace std;
struct node {int x,y,step;
};
int vis[8][8];
int sx,sy,ex,ey,ans;
int to[8][2]= {-1,-2,-2,-1,-2,1,-1,2,1,2,2,1,2,-1,1,-2};
int check(int x,int y) {if(x<0 || y<0 || x>=8 || y>=8)return 1;if(vis[x][y])return 1;return 0;
}
void bfs() {int i;queue<node> Q;node a,next;a.x = sx;a.y = sy;a.step = 0;vis[sx][sy] = 1;Q.push(a);while(!Q.empty()) {a = Q.front();Q.pop();if(a.x == ex && a.y == ey) {ans = a.step;return ;}for(i=0; i<8; i++) {next = a;next.x+=to[i][0];next.y+=to[i][1];if(check(next.x,next.y))continue;next.step = a.step+1;vis[next.x][next.y] = 1;Q.push(next);}}return ;
}int main() {char ch1[10],ch2[10];while(~scanf("%s%s",ch1,ch2)) {sx = ch1[0]-'a';sy = ch1[1]-'1';ex = ch2[0]-'a';ey = ch2[1]-'1';memset(vis,0,sizeof(vis));bfs();printf("To get from %s to %s takes %d knight moves.\n",ch1,ch2,ans);}return 0;
}