迷宫问题

本文分享了一段使用栈和递归实现的迷宫求解算法代码,详细介绍了如何通过遍历迷宫矩阵,标记已访问位置,最终找到从起点到终点的路径。

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作者:鬼鬼千年
#include<stdio.h>
int maze[10][10] = {
        {1,1,1,1,1,1,1,1,1,1},
        {1,0,0,1,0,0,0,1,0,1},
        {1,0,0,1,0,0,0,1,0,1},
        {1,0,0,0,0,1,1,0,0,1},
        {1,0,1,1,1,0,0,0,0,1},
        {1,0,0,0,1,0,0,0,0,1},
        {1,0,1,0,0,0,1,0,0,1},
        {1,0,1,1,1,0,1,1,0,1},
        {1,1,1,0,0,0,0,0,0,1},
        {1,1,1,1,1,1,1,1,1,1}};/*初始化迷宫*/
int mark[10][10] = {0};/*初始化标志位,0代表没走过,1代表走过*/

/*方向*/
typedef struct{
    short int vert;
    short int horiz;
}offsets;

offsets move[4] = {{0,1},{1,0},{0,-1},{-1,0}};/*北,东,南,西*/


/*迷宫类型*/
typedef struct element{
    short int row;
    short int col;
    short int dir;
}element;

element stack[100];


void path(void);
  element del(int* top);
void add(int* top,element item);


element del(int* top)/*出栈,top指向栈顶元素*/
{
    if(*top == -1)
    {
        printf("stack is empty!\n");
    }
    return stack[(*top)--];
}



void add(int* top,element item)/*入栈*/
{
    if(*top >= 100)
    {
        printf("stack is full!\n");
        return;
    }
    stack[++*top] = item;
}


void path(void)/*迷宫函数*/
{
    element position;
    int i,row,col,next_row,next_col,dir,top;
    int found = 0;
    mark[1][8] = 1,top = 0;/*初始化标志数组元素以及栈*/
    stack[0].row = 1,stack[0].col = 8,stack[0].dir = 0;
    while(top > -1 && !found)
    {
          position= del(&top);  /*将栈顶元素取出,*/
        row = position.row;            /*利用中间变量row,col,dir等候判断*/
        col = position.col;
        dir = position.dir;
        while(dir < 4 && !found)
        {
            next_row = row + move[dir].vert;
            next_col = col + move[dir].horiz;
            if(row == 7 && col == 1)
                found = 1;
            else if(!maze[next_row][next_col] && !mark[next_row][next_col])/*判断下一步可走并且没走过,则入栈*/
                    {
                        mark[next_row][next_col] = 1;
                        position.row = row;
                        position.col = col;
                        position.dir = ++dir;
                        add(&top,position);/*合理则入栈*/
                        row = next_row;/*继续向下走*/
                        col = next_col;dir = 0;
                    }
                    else
                        dir++;/*dir<4时,改变方向*/
      
        }
        if(found)/*判断是否有出口*/
        {
            printf("the path is:\n");
            printf("row col\n");
            for(i = 0;i <= top;++i)
                printf("(%2d,%5d)",stack[i].row,stack[i].col);
                printf("(%2d,%5d)\n",7,1);
            
            
        }
         
            
    }
    if(found==0)
        printf("没有路径\n");
}


int main(void)
{   
    path();
     
return 0;
}
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