Knight Moves
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 4547 Accepted Submission(s): 2799
Problem 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.
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
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.
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.
BFS
题意:骑士的移动。马的移动方式,8种方式,不解释了。 map保存,这种方法还真是管用,orz~
不是亮点的亮点:
{ 1.发现,我是用栈来保存位置的,不是队列。额额...也可以 只是在出栈时注意就可以了...
2.寻找到后,continue;这个的启发 是线段树的reutrn;到深搜的return;到广搜的continue;
其实是可以的,在找到后,就没有必要在当前位置 再向 其他方向 搜了。
}
#include<stdio.h> #include<stdlib.h> #include<string.h> #define HH 1111111 int time[8][8],min; int map[8][2]={{1,2},{1,-2},{-1,2},{-1,-2},{2,1},{2,-1},{-2,1},{-2,-1}}; int zhan[30000],f; void bfs(int x1,int y1,int wzx,int wzy) { int i,x,y; zhan[++f]=x1; zhan[++f]=y1; time[x1][y1]=0; while(f>0) { y1=zhan[f--]; x1=zhan[f--]; for(i=0;i<8;i++) { //printf("ss\n"); x=x1+map[i][0]; y=y1+map[i][1]; if(x>=0&&x<8 && y>=0&&y<8) { if(x==wzx && wzy==y) { if(time[x1][y1]+1<min) min=time[x1][y1]+1; /continue; } else if(time[x1][y1]+1<time[x][y]) { // printf("%d %d\n",x,y); time[x][y]=time[x1][y1]+1; zhan[++f]=x; zhan[++f]=y; } } } } } int main() { int x1,y1,x2,y2,i,j; char n[5],m[5]; while(scanf("%s%s",n,m)>0) { x1=n[0]-'a'; y1=n[1]-'1'; x2=m[0]-'a'; y2=m[1]-'1'; for(i=0;i<8;i++) for(j=0;j<8;j++) time[i][j]=HH; min=HH; f=0; if(x1==x2&&y1==y2) min=0; else { bfs(x1,y1,x2,y2); } printf("To get from %s to %s takes %d knight moves.\n",n,m,min); } return 0; }