poj2251 Dungeon Master（三维bfs）

You are trapped in a 3D dungeon and need to find the quickest way out! The dungeon is composed of unit cubes which may or may not be filled with rock. It takes one minute to move one unit north, south, east, west, up or down. You cannot move diagonally and the maze is surrounded by solid rock on all sides. 

Is an escape possible? If yes, how long will it take? 

Input

The input consists of a number of dungeons. Each dungeon description starts with a line containing three integers L, R and C (all limited to 30 in size). 
L is the number of levels making up the dungeon. 
R and C are the number of rows and columns making up the plan of each level. 
Then there will follow L blocks of R lines each containing C characters. Each character describes one cell of the dungeon. A cell full of rock is indicated by a '#' and empty cells are represented by a '.'. Your starting position is indicated by 'S' and the exit by the letter 'E'. There's a single blank line after each level. Input is terminated by three zeroes for L, R and C.

Output

Each maze generates one line of output. If it is possible to reach the exit, print a line of the form 

Escaped in x minute(s).

where x is replaced by the shortest time it takes to escape. 
If it is not possible to escape, print the line 

Trapped!

Sample Input

3 4 5
S....
.###.
.##..
###.#

#####
#####
##.##
##...

#####
#####
#.###
####E

1 3 3
S##
#E#
###

0 0 0

Sample Output

Escaped in 11 minute(s).
Trapped!

主要注意有三维的路径。可以向前后左右和上下走

#include <iostream>
#include <queue>
#include <cstring>
using namespace std;
const int maxn=35; 
int k,n,m;
int sz,sx,sy,ez,ex,ey;
int vis[maxn][maxn][maxn];
char inf[maxn][maxn][maxn];//inf第一维表示层数，第二层表示行数，第三层表示列数 
int dir[6][3]={{0,1,0},{0,-1,0},{0,0,1},{0,0,-1},{1,0,0},{-1,0,0}};
struct node
{
	int z,x,y;
	int step;
};
bool check(int z,int x,int y)
{
	if(!vis[z][x][y]&&z>=1&&z<=k&&x>=1&&x<=n&&y>=1&&y<=m&&(inf[z][x][y]=='.'||inf[z][x][y]=='E'))return true;
	return false;
}
int bfs()
{
	queue<node>q;
	node pre,nxt;
	pre.z=sz,pre.x=sx,pre.y=sy,pre.step=0;
	q.push(pre);
	vis[sz][sx][sy]=1;
	while(!q.empty()){
		pre=q.front();
//		cout<<pre.z<<"  "<<pre.x<<" "<<pre.y<<"  "<<pre.step<<endl;
		q.pop();
		if(pre.z==ez&&pre.x==ex&&pre.y==ey){
			return pre.step;
		}
		int tempz,tempx,tempy;
		for(int i=0;i<6;i++){
			tempz=pre.z+dir[i][0];
			tempx=pre.x+dir[i][1];
			tempy=pre.y+dir[i][2];
			if(check(tempz,tempx,tempy)){
				nxt.z=tempz;
				nxt.x=tempx;
				nxt.y=tempy;
				nxt.step=pre.step+1;
				vis[tempz][tempx][tempy]=1;
				q.push(nxt);
			}
		}
	}
	return -1;
}
int main(){
	ios::sync_with_stdio(false);
	while(cin>>k>>n>>m){
		if(k==0&&n==0&&m==0)break;
		for(int le=1;le<=k;le++){
			for(int i=1;i<=n;i++){
				for(int j=1;j<=m;j++){
					cin>>inf[le][i][j];
					
					if(inf[le][i][j]=='S'){
						sz=le,sx=i,sy=j;
					} 
					if(inf[le][i][j]=='E'){
						ez=le,ex=i,ey=j;
					}
				}
			}
		}
		memset(vis,0,sizeof vis);
//		cout<<"haha"<<endl;
		int ans=bfs();	
//		cout<<"haha1"<<endl;
		if(ans<0)cout<<"Trapped!"<<endl;
		else
		cout<<"Escaped in "<<ans<<" minute(s)."<<endl;
	}
	return 0;
}