NOI2.5 1490:A Knight's Journey

描述
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.
输入
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, . . .
输出
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.
样例输入

样例输出

Scenario #1:

A1

Scenario #2:

impossible

Scenario #3:

A1B3C1A2B4C2A3B1C3A4B2C4

题目大意：给定棋盘长和宽，一马从左上角开始，问能否遍历棋盘，如果能，输出字典序最小的路径，如果不能，输出“impossible”

这道题很像马走日（我的博客里有），只是要输出路径，还要字典序最小的，所以要注意这匹马优先选择的走法，其他没什么难度

代码如下：

#include<cstdio>

#include<cstring>

#include<iostream>

#include<algorithm>

using namespace std;

int k,m,n,w[8]={-1,1,-2,2,-2,2,-1,1},u[8]={-2,-2,-1,-1,1,1,2,2};//注意这里的优先选择路径

int a[1001][2];

int v[100][100];

bool check(int x,int y)

{

	if(x>=1&&x<=m&&y>=1&&y<=n&&!v[x][y])

		return 1;

	return 0;

}

void find(int x,int y,int s)

{

	int i;

	if(k==0)

	{

		a[s][0]=x;

		a[s][1]=y;

		if(s==m*n)

		{

			k=1;

			return;

		}

	}

	for(i=0;i<8;i++)

		if(check(x+w[i],y+u[i]))

		{

			v[x][y]=1;

			find(x+w[i],y+u[i],s+1);

			v[x][y]=0;

		}

}

int main()

{

	int i,j,p;

	scanf("%d",&p);

	for(i=0;i<p;i++)

	{

		k=0;

		scanf("%d%d",&m,&n);

		find(1,1,1);

		printf("Scenario #%d:\n",i+1);

		if(k==0)

			printf("impossible\n\n");

		else

		{

			for(j=1;j<=m*n;j++)

				printf("%c%d",a[j][1]+64,a[j][0]);

			printf("\n\n");

		}

	}

}

难度不大，注意细节

巴特西

NOI2.5 1490:A Knight's Journey

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