寒假训练 A - A Knight's Journey 搜索
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.
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 h
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 | dfs #include <stdio.h> #include <stdlib.h> #include <string.h> #include <iostream> #include <algorithm> using namespace std; int p,q; int flag=0; bool vis[100][100]; int path[100][100]; int tx[8]={-1,1,-2,2,-2,2,-1,1}; int ty[8]={-2,-2,-1,-1,1,1,2,2}; bool judge( int x, int y) { if (x>=1&&y>=1&&x<=p&&y<=q&&!flag&&!vis[x][y]) return true ; return false ; } void dfs( int x, int y, int step) //这里不知道你们有没有问题,反正我碰到了,就是,这里的x和y,与坐标系不一样 { path[step][0]=x; //x代表行 path[step][1]=y; //y代表列 if (step==p*q) //直角坐标系中x虽然是横轴,但是x的改变则是列的变化 { flag=1; return ; } for ( int i=0;i<8;i++) { int sx=x+tx[i]; int sy=y+ty[i]; if (judge(sx,sy)) { vis[sx][sy]=1; dfs(sx,sy,step+1); vis[sx][sy]=0; } } } int main() { int n,c=0; cin>>n; while (n--) { scanf ( "%d%d" ,&p,&q); printf ( "Scenario #%d:\n" ,++c); memset (vis,0, sizeof (vis)); flag=0; vis[1][1]=1; dfs(1,1,1); if (flag==1) { for ( int i=1;i<=p*q;i++) { printf ( "%c%d" ,path[i][1]-1+ 'A' ,path[i][0]); } printf ( "\n" ); } else printf ( "impossible\n" ); if (n!=0) printf ( "\n" ); } return 0; } |
ow 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
题目大意:就是给你p行q列,求马是否可以走完,可以求出路径,不可以输出-1
意思很明确,不过毕竟是英文题,有点难读
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