POJ 2488 A Knight's Journey
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Description
Background
The knight is getting bored of seeing the same black and white squares again and again and has decided to make a journey
around the world. Whenever a knight moves, it is two squares in one direction and one square perpendicular to this. The world of a knight is the chessboard he is living on. Our knight lives on a chessboard that has a smaller area than a regular 8 * 8 board, but it is still rectangular. Can you help this adventurous knight to make travel plans?
Problem
Find a path such that the knight visits every square once. The knight can start and end on any square of the board.
The knight is getting bored of seeing the same black and white squares again and again and has decided to make a journey
around the world. Whenever a knight moves, it is two squares in one direction and one square perpendicular to this. The world of a knight is the chessboard he is living on. Our knight lives on a chessboard that has a smaller area than a regular 8 * 8 board, but it is still rectangular. Can you help this adventurous knight to make travel plans?
Problem
Find a path such that the knight visits every square once. The knight can start and end on any square of the board.
Input
The input begins with a positive integer n in the first line. The following lines contain n test cases. Each test case consists of a single line with two positive integers p and q, such that 1 <= p * q <= 26. This represents a p * q chessboard, where p describes how many different square numbers 1, . . . , p exist, q describes how many different square letters exist. These are the first q letters of the Latin alphabet: A, . . .
Output
The output for every scenario begins with a line containing "Scenario #i:", where i is the number of the scenario starting at 1. Then print a single line containing the lexicographically first path that visits all squares of the chessboard with knight moves followed by an empty line. The path should be given on a single line by concatenating the names of the visited squares. Each square name consists of a capital letter followed by a number.
If no such path exist, you should output impossible on a single line.
If no such path exist, you should output impossible on a single line.
Sample Input
31 12 34 3
Sample Output
Scenario #1:A1Scenario #2:impossibleScenario #3:A1B3C1A2B4C2A3B1C3A4B2C4
题意:跟中国象棋马的走法一样,现在要求在国际象棋中让马走遍这个棋盘,如果能输出这个马走的路径,不能,则输出impossible。并且输出地格式要是字典序,而且输出按国际象棋棋盘的格式。所以我们要知道国际象棋横的是字母竖的是字母!
#include<stdio.h>#include<string.h>typedef struct point{ int x,y; //位置x,y}pp;#define N 28pp num[N],pur[N][N]; //num数组为输出这个路径,pur数组为了记录这个路径int map[N][N],flag,p,q,ex,ey; //map为标记数组int dir[8][2]={-1,-2, 1,-2, -2,-1, 2,-1, -2,1, 2,1, -1,2, 1,2};void DFS(int cx,int cy,int step){ int i,kx,ky; if(step==p*q){ ex=cx; ey=cy; flag=1; return; } for(i=0;i<8;i++) { kx=cx+dir[i][0]; ky=cy+dir[i][1]; if(kx>=0&&kx<p&&ky>=0&&ky<q&&map[kx][ky]==0) //记录路径 { pur[kx][ky].x=cx; pur[kx][ky].y=cy; map[kx][ky]=1; DFS(kx,ky,step+1); if(flag)return; map[kx][ky]=0; } }}int main(){ int n,i,j,k,path; scanf("%d",&n); for(k=1;k<=n;k++) { scanf("%d%d",&p,&q); memset(map,0,sizeof(map)); map[0][0]=1;flag=0; DFS(0,0,1); printf("Scenario #%d:\n",k); if(flag==0) //不能走完 printf("impossible\n"); else{ i=ex;j=ey;path=1; num[0].x=i;num[0].y=j; while(i!=0||j!=0) //为了输出路径 { num[path].x=pur[i][j].x; num[path].y=pur[i][j].y; path++; i=num[path-1].x; j=num[path-1].y; } for(i=path-1;i>=0;i--) printf("%c%d",num[i].y+'A',num[i].x+1); printf("\n"); } printf("\n"); } return 0;}
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