A knight's journey
Time limit:1000 ms |
|
Memory limit:65536 K |
Total submissions:31195 |
|
Accepted:10668 |
Description
Background
The knight is getting bored of seeing the same black and white squares 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 between different square numbers 1 ,..., P exist, Q describes how many different square letters exist. these are the first Q letters of the Latin alphabet: ,...
Output
The output for every scenario begins with a line ining "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 shoshould 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 shoshould output impossible on a single line.
Sample Input
31 12 34 3
Sample output
Scenario #1: a1scenario #2: impossiblescenario #3: a1b3c1a2b4c2a3b1c3a4b2c4
Actual Time: 20 min
Situation: cccca pay attention to Java and random changes
Note: one group has empty rows, but the last group has no 2 lexicographic orders.
#include <cstdio>#include <cstring>using namespace std;int n,m;typedef unsigned long long ull;bool used[8][8];char heap[64][3];const int dx[8]={-2,-2,-1,-1,1,1,2,2},dy[8]={-1,1,-2,2,-2,2,-1,1};bool judge(int x,int y){ if(x>=0&&x<n&&y>=0&&y<m)return true; return false;}bool dfs(int x,int y,int cnt){ used[x][y]=true; heap[cnt][0]=x+‘A‘; heap[cnt++][1]=y+‘1‘; if(cnt==n*m)return true; for(int i=0;i<8;i++){ int tx=x+dx[i],ty=y+dy[i]; if(judge(tx,ty)&&!used[tx][ty]){ if(dfs(tx,ty,cnt))return true; } } used[x][y]=false; return false;}int main(){ int T;scanf("%d",&T); for(int ti=1;ti<=T;ti++){ scanf("%d%d",&m,&n); memset(used,0,sizeof(used)); bool fl=dfs(0,0,0); printf("Scenario #%d:\n",ti); if(fl){ for(int i=0;i<n*m;i++){ printf("%s",heap[i]); } puts(""); } else { puts("impossible"); } if(ti<T)puts(""); } return 0;}
Quick cut poj2488 a knight's journey