【IT面试题006】迷宫问题

 

/*
迷宫问题
1 表示可以走
0 表示不可以走
*/
#include "stdafx.h"

#include <iostream>
#include <string>
#include <vector>
using namespace std;

int pathX[1000];
int pathY[1000];
int curPathPointNum;
int gPathCount = 0;
int visited[10][10] = {0};
int maze[10][10] = {0};
int minPathLen = 1000000000;
void InitMaze() 
{ 
    maze[1][1]=1; maze[1][2]=1; maze[1][4]=1; 
    maze[1][5]=1; maze[1][6]=1; maze[1][8]=1; 
    maze[2][1]=1; maze[2][2]=1; maze[2][4]=1; 
    maze[2][5]=1; maze[2][6]=1; maze[2][8]=1; 
    maze[3][1]=1; maze[3][2]=1; maze[3][3]=1; 
    maze[3][4]=1; maze[3][7]=1; maze[3][8]=1; 
    maze[4][1]=1; maze[4][5]=1; maze[4][6]=1; 
    maze[4][7]=1; maze[4][8]=1; 
    maze[5][1]=1; maze[5][2]=1; maze[5][3]=1; 
    maze[5][5]=1; maze[5][6]=1; maze[5][7]=1; 
    maze[5][8]=1; 
    maze[6][1]=1; maze[6][3]=1; maze[6][4]=1; 
    maze[6][5]=1; maze[6][7]=1; maze[6][8]=1; 
    maze[7][1]=1; maze[7][5]=1; maze[7][8]=1; 
    maze[8][2]=1; maze[8][3]=1; maze[8][4]=1; 
    maze[8][5]=1; maze[8][6]=1; maze[8][7]=1; 
    maze[8][8]=1; 
}



void PrintPath()
{
	for (int i = 0;i<curPathPointNum;i++)
	{
		cout << "(" << pathX[i] <<","<<pathY[i]<<")"<<" ";
	}
	cout << endl;
}
void Go(int posX,int posY,int endX,int endY)
{


	if (posX == endX && posY == endY)
	{
		if (curPathPointNum - 1 < minPathLen)
		{
			minPathLen = curPathPointNum - 1;
		}
		cout << "found a path"<<endl;
		gPathCount ++;
		PrintPath();
		return;
	}

	if (curPathPointNum - 1 >= minPathLen)
	{
		return;
	}
	static int dx[4] = {1,-1,0,0};
	static int dy[4] = {0,0,1,-1};

	for (int i = 0;i<4;i++)
	{
		int newX = posX + dx[i];
		int newY = posY + dy[i];
		if (maze[newX][newY] == 1 && !visited[newX][newY])
		{
			curPathPointNum ++;
			visited[newX][newY] = 1;
			pathX[curPathPointNum - 1] = newX;
			pathY[curPathPointNum - 1] = newY;
			Go(newX,newY,endX,endY);
			visited[newX][newY] = 0;
			curPathPointNum --;
		}
	}
}

int _tmain(int argc, _TCHAR* argv[])
{
	InitMaze();
	int startX = 1;
	int startY = 0;
	int endX = 8;
	int endY = 8;
	curPathPointNum = 0;
	Go(startX,startY,endX,endY);
	cout << gPathCount << endl;
}