3006: 迷宫问题(栈与队列)
时间限制: 1 Sec 内存限制: 128 MB提交: 3 解决: 1
题目描述
编写一个求解迷宫问题的程序,要求输出迷宫的所有路径,并求最短路径长度及最短路径。
规定:
S:迷宫的入口
D:迷宫的出口
X:障碍物,无法从这里通过
*:空地
搜索顺序优先度:↑、→、↓、←
输入
输入的第一行包含一个数字n,接下来的n行输入一个n*n的迷宫地图。
输出
输出迷宫的所有路径,每一种路径占一行。最后输出所有路径中最长路径和最短路径的长度。
样例输入
6
XXXXXX
XS**XX
X*X**X
X***XX
XX**DX
XXXXXX
样例输出
→→↓↓↓→
→→↓↓←↓→→
↓↓→→↓→
↓↓→↓→→
8 6
提示
1、使用栈求解
2、搜索顺序优先度:↑、→、↓、←
3、若没有路径可以走出迷宫,则输出0 0
迷失在幽谷中的鸟儿,独自飞翔在这偌大的天地间,却不知自己该飞往何方……
#include<stdio.h> #include<iostream> #include<algorithm> #include<string.h> #define SizeMax 105 using namespace std; int n,maxx=0,minn=0xffff; char a[10][10]; typedef struct { char data[SizeMax][5]; int top; } SqStack; SqStack *s=(SqStack*)malloc(sizeof(SqStack)); void push(SqStack *&s,string k) //入栈 { char *e=(char*)k.data(); //将string类型转换成char* if(s->top==SizeMax-1)return; s->top++; strcpy(s->data[s->top],e); //入栈 } void print(SqStack *s) //输出 { for(int i=0; i<=s->top; i++) cout<<s->data[i]; cout<<endl; } void dfs(int x,int y,int k) //深度优先扫描 { if(a[x][y]=='D') { maxx=maxx<k?k:maxx; //最大值 minn=minn>k?k:minn; //最小值 print(s); return; }a[x][y]='X'; //走过的路用‘X’填充,防止出现重复路线 for(int i=0; i<4; i++) { if(i==0){if(a[x-1][y]!='X'&&x-1>=0)push(s,"↑"),dfs(x-1,y,k+1),s->top--;} //向上 else if(i==1){if(a[x][y+1]!='X'&&y+1<n)push(s,"→"),dfs(x,y+1,k+1),s->top--;} //向右 else if(i==2){if(a[x+1][y]!='X'&&x+1<n)push(s,"↓"),dfs(x+1,y,k+1),s->top--;} //向下 else if(i==3){if(a[x][y-1]!='X'&&y-1>=0)push(s,"←"),dfs(x,y-1,k+1),s->top--;} //向左 }a[x][y]='*'; //回溯结束后解开被填充的路口 } int main() { cin>>n; for(int i=0; i<n; i++) scanf("%s%*c",a[i]); s->top=-1; int x,y; for(int i=0; i<n; i++) for(int j=0; j<n; j++) if(a[i][j]=='S') //确定‘S’的位置 { x=i,y=j; goto end1; } end1: dfs(x,y,0); if(maxx==0)minn=0; printf("%d %d ",maxx,minn); return 0; }
附上后台一组测试数据
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