POJ2251 Dungeon Master BFS

本文介绍了一种解决三维迷宫逃脱问题的BFS算法,通过寻找从起点到出口的最短路径,实现快速逃脱。文章详细解释了算法流程,包括输入输出格式,以及如何在三维空间中进行方向判断。

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Description

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 5S.....###..##..###.#############.####...###########.#######E1 3 3S###E####0 0 0

Sample Output

Escaped in 11 minute(s).Trapped!
 
简单的BFS,只是把四个方向改成了六个方向罢了
 
#include <iostream>#include <stdio.h>#include <string.h>#include <queue>#include <algorithm>using namespace std;char map[35][35][35];int vis[35][35][35];int k,n,m,sx,sy,sz,ex,ey,ez;int to[6][3] = {{0,0,1},{0,0,-1},{0,1,0},{0,-1,0},{1,0,0},{-1,0,0}};struct node{    int x,y,z,step;};int check(int x,int y,int z){    if(x<0 || y<0 || z<0 || x>=k || y>=n || z>=m)        return 1;    else if(map[x][y][z] == '#')        return 1;    else if(vis[x][y][z])        return 1;    return 0;}int bfs(){    int i;    node a,next;    queue<node> Q;    a.x = sx,a.y = sy,a.z = sz;    a.step = 0;    vis[sx][sy][sz] = 1;    Q.push(a);    while(!Q.empty())    {        a = Q.front();        Q.pop();        if(a.x == ex && a.y == ey && a.z == ez)            return a.step;        for(i = 0; i<6; i++)        {            next = a;            next.x = a.x+to[i][0];            next.y = a.y+to[i][1];            next.z = a.z+to[i][2];            if(check(next.x,next.y,next.z))                continue;            vis[next.x][next.y][next.z] = 1;            next.step = a.step+1;            Q.push(next);        }    }    return 0;}int main(){    int i,j,r;    while(scanf("%d%d%d",&k,&n,&m),n+m+k)    {        for(i = 0; i<k; i++)        {            for(j = 0; j<n; j++)            {                scanf("%s",map[i][j]);                for(r = 0; r<m; r++)                {                    if(map[i][j][r] == 'S')                    {                        sx = i,sy = j,sz = r;                    }                    else if(map[i][j][r] == 'E')                    {                        ex = i,ey = j,ez = r;                    }                }            }        }        memset(vis,0,sizeof(vis));        int ans;        ans = bfs();        if(ans)            printf("Escaped in %d minute(s).\n",ans);        else            printf("Trapped!\n");    }    return 0;}

           
内容概要:本文档详细介绍了基于MATLAB实现多目标差分进化(MODE)算法进行无人机三维路径规划的项目实例。项目旨在提升无人机在复杂三维环境中路径规划的精度、实时性、多目标协调处理能力、障碍物避让能力和路径平滑性。通过引入多目标差分进化算法,项目解决了传统路径规划算法在动态环境和多目标优化中的不足,实现了路径长度、飞行安全距离、能耗等多个目标的协调优化。文档涵盖了环境建模、路径编码、多目标优化策略、障碍物检测与避让、路径平滑处理等关键技术模块,并提供了部分MATLAB代码示例。 适合人群:具备一定编程基础,对无人机路径规划和多目标优化算法感兴趣的科研人员、工程师和研究生。 使用场景及目标:①适用于无人机在军事侦察、环境监测、灾害救援、物流运输、城市管理等领域的三维路径规划;②通过多目标差分进化算法,优化路径长度、飞行安全距离、能耗等多目标,提升无人机任务执行效率和安全性;③解决动态环境变化、实时路径调整和复杂障碍物避让等问题。 其他说明:项目采用模块化设计,便于集成不同的优化目标和动态环境因素,支持后续算法升级与功能扩展。通过系统实现和仿真实验验证,项目不仅提升了理论研究的实用价值,还为无人机智能自主飞行提供了技术基础。文档提供了详细的代码示例,有助于读者深入理解和实践该项目。
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