資料結構--求解迷宮通路--棧實作

問題描述：給定迷宮，求解起點到終點的一條通路

問題分析：用窮舉法來以此尋找每一個點的的左上右下是否為通路，如果是通路，這入棧，如果都不是通路，則出棧一次。問題比較簡單

代碼實作：為了看到動态的過程，本例中使用了時間延遲函數，可以自己修改，注釋了

#include <iostream>
#include <windows.h>
using namespace std;
#define LENGTH 10
#define WIDTH 10
#define BEGIN_X 1
#define BEGIN_Y 1
#define END_X 8
#define END_Y 8

///
//   bulid a data model
class Node
{
public:
    Node()
    {
        status = 0; //
    }
    //Node(int i, int j, int m = 0 ) : x{i}, y{j}, status{m} {}
    int x;      // x position
    int y;      // y position
    int status; // status, 0 indicate the pass
    int dire;   // direction
};

//
//   bulid stack
typedef struct stack
{
    Node data[100];
    int data_p;
} Stack;

void Initial_Stack(Stack *&S)
{
    S = new Stack;
    S->data_p = -1;
}

void Push_Stack(Stack *&S, int x, int y, Node Map[][WIDTH])
{
    Map[x][y].status = 1;
    if (S->data_p != 100)
    {
        S->data_p = S->data_p + 1;
        S->data[S->data_p].x = x;
        S->data[S->data_p].y = y;
        S->data[S->data_p].status = 1;
    }
}

void delete_stack(Stack *&S)
{
    //Map[S->data[S->data_p].x][S->data[S->data_p].y].status = 0;     //set postion status to 0
    S->data_p = S->data_p - 1;
}

bool Find_position(Stack *S, Node Map[][WIDTH])
{
    int x = S->data[S->data_p].x;
    int y = S->data[S->data_p].y;
    if (Map[x - 1][y].status == 0) //if left is passage, use Push_Stack() function
    {
        Push_Stack(S, x - 1, y, Map);
        return true;
    }
    if (Map[x][y - 1].status == 0) //if up is passage, use Push_Stack() function
    {
        Push_Stack(S, x, y - 1, Map);
        return true;
    }
    if (Map[x + 1][y].status == 0) //if right is passage, use Push_Stack() function
    {
        Push_Stack(S, x + 1, y, Map);
        return true;
    }
    if (Map[x][y + 1].status == 0) //if down is passage, use Push_Stack() function
    {
        Push_Stack(S, x, y + 1, Map);
        return true;
    }

    delete_stack(S); //Have no result after four judgement, pop stack once
    return false;
}

void Display_Labyrinth(Node Map[][WIDTH])
{
    cout << "The shape of the labyrinth is : " << endl;
    for (int i = 0; i < LENGTH; i++) //row
    {
        for (int j = 0; j < WIDTH; j++) //column
        {
            cout << Map[j][i].status << " ";
        }
        cout << endl;
    }
}

void Display_Stack(Stack *S)
{
    for (int i = 0; i <= S->data_p; i++)
    {
        cout << "The no." << i << " data in stack is : ( x = " << S->data[i].x
             << ", y = " << S->data[i].y << ", status = " << S->data[i].status << " )" << endl;
    }
}



int main()
{
    system("cls");
    Stack *S;
    Initial_Stack(S);

    bool FIND_RESULT_FLAG = false;
    
    //    build a map
    Node map[LENGTH][WIDTH];
    for (int i = 0; i < WIDTH; i++) //fill this border
    {
        map[i][0].status = 1;          // top line
        map[i][WIDTH - 1].status = 1;  // bottom line
        map[0][i].status = 1;          // left line
        map[LENGTH - 1][i].status = 1; // right line
    }
    { //fill the detail
        map[4][1].status = 1;
        map[2][2].status = 1;
        map[4][3].status = 1;
        map[1][4].status = 1;
        map[3][3].status = 1;
        map[1][3].status = 1;
    }

    //
    //      begin position and end position
    Push_Stack(S, BEGIN_X, BEGIN_Y, map); // begin
    map[END_X][END_Y].status = 0;         // end
    //
    Display_Labyrinth(map);
    // while(S->data_p != -1 )
    // {
    //     Find_position( S, map );
    // }
    //for(int i = 0; i < 14; i++)
    
    // use function to find the passage
    while (S->data_p != -1)
    {
        bool find_result = Find_position(S, map);
        system("cls");
        Display_Labyrinth(map);
        //modify this code for the high/slow speed.
        Sleep(500);
        if (S->data[S->data_p].x == END_X && S->data[S->data_p].y == END_Y)
        {
            FIND_RESULT_FLAG = true;
            break;
        }
    }

    if (FIND_RESULT_FLAG)
    {
        cout << "Find passage successful !" << endl;
        Display_Stack(S);
    }
    else
    {
        cout << "Find passage failure !" << endl;
    }

    //Display_Stack(S);

    ///
    // for( int i = 0; i < 10; i++ )
    // {
    //     Push_Stack(S, i);
    // }
    // cout << "There have " << S->data_p << " number(s) in the stack " << endl;
    // for( int i = 0; i < 20; i++ )
    // {
    //     cout << "The no. " << i <<" data is : " << Pop_stack(S) << endl;
    // }

    system("pause");
    return 0;
}
           

運作結果:

關于如何提高效率還在探索 ><

好好學習，天天向上，一起加油啊！