A Knight's Journey
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 30733 | Accepted: 10528 |
Description

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
3 1 1 2 3 4 3
Sample Output
Scenario #1: A1 Scenario #2: impossible Scenario #3: A1B3C1A2B4C2A3B1C3A4B2C4
这个题我自作聪明了下,读入的时候,先读入y在读入x,按字典序输出没啥区别!就是wa呀!
换过来后就AC了!
草!
#include <iostream> #include <cstdio> #include <cstring> using namespace std; int dir[8][2] = {{-1,-2},{1,-2},{-2,-1},{2,-1},{-2,1},{2,1},{-1,2},{1,2}}; bool visit[30][30]; int x, y; struct node{ int r,c; }res[1000]; bool dfs(int a, int b, int step) { if (step == x*y) { for (int i = 0; i < step; i ++) { printf("%c%d", char(res[i].c+64), res[i].r); } printf("\n"); return true; } int ax, by; for (int i = 0; i < 8; i ++) { ax = a+dir[i][0]; by = b+dir[i][1]; //cout << "ax =="<< ax <<endl; //cout << "by =="<< by <<endl; if (visit[ax][by] == false && ax >= 1 && ax <= x && by >= 1 && by <= y) { visit[ax][by] = true; res[step].r = ax; res[step].c = by; if (dfs(ax, by, step+1)) return true; visit[ax][by] = false; } } return false; } int main() { int t; scanf("%d", &t); for (int i = 1; i <= t; i ++) { if (i != 1) printf("\n"); scanf("%d%d", &x, &y); printf("Scenario #%d:\n", i); memset(visit, 0, sizeof(visit)); visit[1][1] = true; res[0].r = 1; res[0].c = 1; if (!dfs(1, 1, 1)) printf("impossible\n"); } return 0; }