#include<stdio.h>
#include<string.h>
char x[26],y[26];
bool visit[26][26];
int map[26][26];
int dx[]={-1,1,-2,2,-2,2,-1,1};
int dy[]={-2,-2,-1,-1,1,1,2,2};
int sum;
int flag;
int p,q;
void dfs(int xx,int yy,int step)
{
if(step==sum)
{
for(int i=0;i<step;i++)
{
printf("%c%c",y[i],x[i]);
}
flag=1;
printf("\n\n");
return;
}
if(flag) return;
for(int i=0;i<8;i++)
{
int nx=xx+dx[i];
int ny=yy+dy[i];
if(nx>0&&ny>0&&nx<=p&&ny<=q&&!visit[nx][ny])
{
x[step]='1'+nx-1;
y[step]='A'+ny-1;
visit[nx][ny]=1;
dfs(nx,ny,step+1);
visit[nx][ny]=0;
}
}
}
int main()
{
int n,i;
int t;
int ase=0;
scanf("%d",&t);
while(t--)
{
scanf("%d%d",&p,&q);
ase++;
flag=0;
printf("Scenario #%d:\n",ase);
memset(visit,0,sizeof(visit));
sum=p*q;
visit[1][1] = 1;
x[0]='1';
y[0]='A';
dfs(1,1,1);
if(!flag) printf("impossible\n\n");
}
return 0;
}
A Knight's Journey
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 41217 | Accepted: 14025 |
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
Source