题目:

http://poj.org/problem?id=2488

题意:

给定一个n*m的国际象棋棋盘,用数字表示行,用字母表示列。有一个骑士,问骑士能不能遍历整个棋盘,一个方格只能走一次,按先后顺序输出所经过的方格位置,对于一个方格的位置,列坐标在前行坐标在后,如果有多种方法,就输出字典序最小的那个

思路:

搜索的时候注意方向就好了,先按列小的搜,列相同就按行小的搜

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
using namespace std;

typedef long long ll;
const int N = 30, INF = 0x3f3f3f3f;

//注意dx,dy数组的定义
int dx[] = {-1, 1, -2, 2, -2, 2, -1, 1}, dy[] = {-2, -2, -1, -1, 1, 1, 2, 2};
bool vis[N][N];
int res[N*N][2];
int n, m, cas = 0;
bool found;
void dfs(int x, int y, int cur)
{
    if(found) return;
    vis[x][y] = true;
    res[cur][0] = x, res[cur][1] = y;
    if(cur+1 == n*m)
    {
        found = true;
        printf("Scenario #%d:\n", ++cas);
        for(int i = 0; i <= cur; i++)
            printf("%c%d", res[i][1] + 'A', res[i][0] + 1);
        printf("\n\n");
    }
    for(int i = 0; i < 8; i++)
    {
        int nx = x + dx[i], ny = y + dy[i];
        if(nx >= 0 && nx < n && ny >= 0 && ny < m && !vis[nx][ny])
        {
            dfs(nx, ny, cur + 1);
            vis[nx][ny] = false;
        }
    }
}
int main()
{
    int t;
    scanf("%d", &t);
    while(t--)
    {
        scanf("%d%d", &n, &m);
        memset(vis, 0, sizeof vis);
        found = false;
        for(int i = 0; i < n; i++)
        {
            for(int j = 0; j < m; j++)
            {
                dfs(i, j, 0);
                vis[i][j] = false;
                if(found) break;
            }
            if(found) break;
        }
        if(! found) printf("Scenario #%d:\nimpossible\n\n", ++cas);
    }
    return 0;
}