📄 回溯法—迷宫问题.cpp
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//可解带厅的(8,8)迷宫:刘子杨
//迷宫初始化:无任何要求
//从(1,1)出发,走出迷宫
#include<iostream.h>
//迷宫图
#define LENGTH 8
int length=0;
///**
int maze[8][8] =
{ {0,0,22,0,22,0,22,22},
{22,0,0,0,0,22,0,22},
{22,22,22,0,0,0,0,0},
{22,0,0,0,22,0,0,22},
{22,22,0,0,0,22,0,22},
{22,0,0,22,0,0,0,22},
{22,22,0,0,0,22,0,22},
{22,22,0,22,22,22,22,22},
};
int mazeCopy[8][8]=
{ {0,0,2,2,2,2,2,2},
{2,0,0,0,0,0,0,2},
{2,2,0,0,0,0,0,2},
{2,0,0,0,0,0,0,2},
{2,2,0,0,0,0,0,2},
{2,0,0,0,0,0,0,2},
{2,2,0,0,0,0,0,2},
{2,2,2,2,2,2,2,2},
};
bool CanPass(int c,int r,int len)
{
if(maze[c][r] == 0 && ( (length == 0)||(length !=0 && len <= length)))
{
if((length == 0)||(length !=0 && len == length))
maze[c][r] = 0;
return true;
}
return false;
}
void display()//show maze to us
{
for(int i = 0;i<LENGTH;i++)
{
cout<<endl;
for(int j = 0; j<LENGTH;j++)
cout<<maze[i][j]<<" ";
}
cout<<endl;
/*for(int m = 0; m<LENGTH; m++)
{
//cout<<endl;
for(int n = 0; n<LENGTH;n++)
{
maze[m][n] = mazeCopy[m][n];
}
//cout<<maze[i][j]<<" ";
}*/
}
void Backtrack(int c , int r,int l)
{
//int len = l;
if(c >= LENGTH || r >=LENGTH)
{
//cout<<"dsdf"<<endl;
if((length == 0)||(length !=0 && l < length))
{
length = l;
display();
/*if(c = 8)
maze[c-1][r] = 0;
else if(r = 8)
maze[c][r-1] = 0;
else if(r < 0)
maze[c][r+1] = 0;
else if(c < 8)
maze[c+1][r] = 0;*/
}
//sum++;
}
else{
//cout<<maze[c][r]<<endl;
//cout<<"ssd"<<endl;
if(CanPass(c,r,l))
{
//cout<<maze[c][r]<<endl;
maze[c][r] = l;
//cout<<maze[c][r]<<"\n";
Backtrack(c+1,r,l+1);
maze[c][r] = 0;
maze[c][r] = l;
Backtrack(c,r+1,l+1);
maze[c][r] = 0;
maze[c][r] = l;
Backtrack(c-1,r,l+1);
maze[c][r] = 0;
maze[c][r] = l;
Backtrack(c,r-1,l+1);
maze[c][r] = 0;
//maze[c][r] = l;
}
}
}
int main()
{
//int *m = new int[100]
//for
int l = 0;
//cout<<LENGTH<<endl;
cout<<"初始状态为"<<endl;
display();
Backtrack(0,0,l);
return 0;
}
//**/
/*class MAZE
{
friend void Maze(int **);
private:
bool CanPass(int c,int r);
void Backtrack(int c,int r,int*l);
void display();
int *x,//当前解
*length = 0;//路程距离
//long sum;//当前已找到的可行方案
}
bool MAZE::CanPass(int c,int r,int * l)
{
if(maze[c][r] == 0)
if(length != 0 && l<length)
return true;
return false;
}
void MAZE::Backtrack(int c,int r,int * l)
{
int *len = l;
if(c >= LENGTH || r >=LENGTH)
{
length = len;
//sum++;
display();
}
else{
if(CanPass(c,r,len))
{
maze[c][r] = 1;
Backtrack(c+1,r,l);
Backtrack(c,r+1,l);
Backtrack(c-1,r,l);
Backtrack(c,r-1,l);
}
}
}
void MAZE::display()//show maze to us
{
for(int i = 0;i<LENGTH;i++)
{
cout<<endl;
for(int j = 0; j<LENGTH;j++)
cout<<maze[i][j]<<" ";
}
}
void Maze(int[][] maze)
{
Maze M;
//M.sum = 0;
/*int * n = new int[LENGTH+1];
for(int i = 0; i<= LENGTH; i++)
n[i] = 0;
M.m = n;
M.Backtrack(0,0);
//M.display();
delete n[];
int * l=0;
M.Backtrack(0,1,l);
M.Backtrack(1,0,l);
//return M.sum;
}
int main()
{
MAZE m = new MAZE();
return 0;
}*/
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