hdu 1372 Knight Moves(最基本的BFS)
2013-07-31 15:58
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1、http://acm.hdu.edu.cn/showproblem.php?pid=1372
2、题目大意:给定一个棋盘,列用a--h表示,行用1-8表示,题目给定一个起始位置一个结束位置,求出从起始位置到结束位置用多少步;
3、最基本的BFS代码,留作模板用。。。、
题目:
Total Submission(s): 4969 Accepted Submission(s): 3032
[align=left]Problem Description[/align]
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.
[align=left]Input[/align]
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.
[align=left]Output[/align]
For each test case, print one line saying "To get from xx to yy takes n knight moves.".
[align=left]Sample Input[/align]
[align=left]Sample Output[/align]
4、ac代码:
2、题目大意:给定一个棋盘,列用a--h表示,行用1-8表示,题目给定一个起始位置一个结束位置,求出从起始位置到结束位置用多少步;
3、最基本的BFS代码,留作模板用。。。、
题目:
Knight Moves
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 4969 Accepted Submission(s): 3032
[align=left]Problem Description[/align]
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.
[align=left]Input[/align]
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.
[align=left]Output[/align]
For each test case, print one line saying "To get from xx to yy takes n knight moves.".
[align=left]Sample Input[/align]
e2 e4 a1 b2 b2 c3 a1 h8 a1 h7 h8 a1 b1 c3 f6 f6
[align=left]Sample Output[/align]
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.
4、ac代码:
#include<stdio.h> #include<string.h> char s[5]; char e[5]; int sx,sy,ex,ey; int visit[9][9]; int dir[8][2]= {1,2,2,1,2,-1,1,-2,-1,-2,-2,-1,-2,1,-1,2}; struct node { int x; int y; int step; } knight[70]; int bfs(int n) { memset(visit,0,sizeof(visit)); node cur,change; knight[0].x=sx; knight[0].y=sy; knight[0].step=0; int start=0,end=1; while(start<end) { cur=knight[start++]; if(cur.x==ex &&cur.y==ey) { return cur.step; } else { for(int i=0; i<8; i++) { int tx=cur.x+dir[i][0]; int ty=cur.y+dir[i][1]; if(tx>=1 && tx<=8 && ty>=1 && ty<=8 && visit[tx][ty]==0) { visit[tx][ty]=1; change.x=tx; change.y=ty; change.step=cur.step+1; knight[end++]=change; } } } } } int main() { while(scanf("%s%s",s,e)!=EOF) { sx=s[1]-'0'; sy=s[0]-'a'+1; ex=e[1]-'0'; ey=e[0]-'a'+1; //printf("%d %d %d %d\n",sx,sy,ex,ey); printf("To get from %s to %s takes %d knight moves.\n",s,e,bfs(8)); } return 0; }
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