poj 2488 A Knight's Journey
2015-08-17 21:26
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题意:给你一个n*m的矩阵,看能从(1,1)点开始按照字典序开始遍历,能否遍历n*m内的所有的点
盗张图~~ 没找到,但我见到过,、等找到再发吧~~
按照字典序遍历,其实就是规定遍历的优先方向,也就是下面这个
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.
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.
Sample Input
Sample Output
盗张图~~ 没找到,但我见到过,、等找到再发吧~~
按照字典序遍历,其实就是规定遍历的优先方向,也就是下面这个
int Dir[][2] = {{-2,-1},{-2,1},{-1,-2},{-1,2},{1,-2},{1,2},{2,-1},{2,1}};
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.
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.
Sample Input
3 1 1 2 3 4 3
Sample Output
Scenario #1: A1 Scenario #2: impossible Scenario #3: A1B3C1A2B4C2A3B1C3A4B2C4
#include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <set> #include <stack> #include <queue> #include <algorithm> #include <cmath> #define LL long long #define INF 0x3f3f3f3f #define RR freopen("in.txt","r",stdin) //#pragma comment(linker,"/SATACK,;1024000,1024000") #define MAX 1100 using namespace std; int Dir[][2] = {{-2,-1},{-2,1},{-1,-2},{-1,2},{1,-2},{1,2},{2,-1},{2,1}}; bool vis[MAX][MAX]; struct node { int row; char cal; } way[MAX]; int p,q; bool flag; int Max_step; void DFS(int x,int y,int step) { if(step == Max_step) { for(int i=1; i<=Max_step; i++) { printf("%c%d",way[i].cal,way[i].row); } printf("\n"); flag = true; return ; } for(int i=0; i<8 && !flag ; i++) { int xx = x + Dir[i][0]; int yy = y + Dir[i][1]; if(!vis[xx][yy] && xx > 0 && yy > 0 && xx <= q && yy <= p) { way[step+1].cal = 'A' + xx - 1; way[step+1].row = yy; vis[xx][yy] = true; DFS(xx,yy,step+1); vis[xx][yy] = false; } } } int main() { // RR; int n; int t = 0; cin>>n; while(n--) { cin>>p>>q; printf("Scenario #%d:\n",++t); Max_step = p * q; memset(vis,false,sizeof(vis)); flag = false; way[1].cal = 'A'; way[1].row = 1; vis[1][1] = true; DFS(1,1,1); if(!flag) printf("impossible\n"); printf("\n"); } return 0; }
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