#include <iostream>
#define MAX_VERTS 20


using namespace std;
/**使用鄰接矩陣來表示一個圖**/
class Vertex
{
public:
    Vertex(char lab){Label=lab;}
private:
    char Label;
};

class Graph
{
public:
    Graph();
    ~Graph();
    void addVertex(char lab);
    void addEdge(int Start,int End);  //新增邊
    void PrintMatrix(); //列印矩陣

private:
    Vertex* vertexList[MAX_VERTS]; //最多頂點的數量
    int nVerts;     //實際陣列頂點的數量
    int adjMat[MAX_VERTS][MAX_VERTS];  //舉證

};

Graph::Graph()  //建構函式
{
  nVerts=0;
  for(int i=0;i<MAX_VERTS;i++)
        for(int j=0;j<MAX_VERTS;j++)
          adjMat[i][j]=0;   //全部初始化為0
}


void Graph::addVertex(char lab)
{
   vertexList[nVerts++]=new Vertex(lab);
}

void Graph::addEdge(int Start,int End) //增加一條邊
{
  adjMat[Start][End]=1;
  adjMat[End][Start]=1;   //矩陣是對稱的
}

void Graph::PrintMatrix()
{
  for(int i=0;i<nVerts;i++)
  {
      for(int j=0;j<nVerts;j++)
        cout<<adjMat[i][j]<<" ";
      cout<<endl;
  }
}
Graph::~Graph()
{
    for(int i=0;i<nVerts;i++)
        delete vertexList[i];
}
int main()
{
    Graph g;
    g.addVertex('A');
    g.addVertex('B');
    g.addVertex('C');
    g.addVertex('D');
    g.addVertex('E');

    g.addEdge(0,1);  //A-B
    g.addEdge(0,3);  //A-D
    g.addEdge(1,0);  //B-A
    g.addEdge(1,4);  //B-E
    g.addEdge(2,4);  //C-E
    g.addEdge(3,0);  //D-A
    g.addEdge(3,4);  //D-E
    g.addEdge(4,1);  //E-B
    g.addEdge(4,2);  //E-C
    g.addEdge(4,3);  //E-D
    g.PrintMatrix();
    //cout << "Hello world!" << endl;
    return 0;
}