#include <iostream>
#include <stdio.h>
#include <conio.h>

#define max 100

#define FileIn "D:\\G.txt"

using namespace std;
int chuaXet[max];

// A: ma tran ke cua G, n: so dinh
int A[max][max], n;

// doc file chua do thi G luu vao ma tran A

void Doc_File(int A[max][max], int &n)
{
  FILE *f = fopen(FileIn, "rb");
  fscanf(f, "%d", &n);
  cout << "\n So dinh: " << n << "\n Ma tran ke: " << endl;
  for (int i = 0; i < n; i++)
  {
    for (int j = 0; j < n; j++)
    {
      fscanf(f, "%d", &A[i][j]);
      cout << A[i][j] << " ";
    }
    cout << endl;
  }
  fclose(f);
}

// Khoi tao chua xet
void KhoiTao_ChuaXet()
{
  for (int i = 0; i < max; i++)
    chuaXet[i] = 1;
}

// thuat toan DFS
void DFS(int u)
{
  // xet dinh u
  chuaXet[u] = 0;
  cout << u << "->";
  for (int v = 0; v < n; v++)
    if (chuaXet[v] == 1 && A[u][v] == 1)
    {
      DFS(v);
    }
}

// thuat toan BFS

void BFS(int u)
{
  int queue[max], dau = 0, cuoi = 0;
  for (int i = 0; i < max; i++)
    queue[i] = 0;
  queue[cuoi] = u;
  chuaXet[u] = 0;
  cout << u << "->";

  while (dau >= cuoi)
  {
    int p = queue[cuoi];
    cuoi++;
    for (int v = 0; v < n; v++)
      if (chuaXet[v] == 1 && A[p][v] == 1)
      {
        dau++;
        queue[dau] = v;
        chuaXet[v] = 0;
        cout << v << "->";
      }
  }
}

// Kiem tra chuaXet
int KT_ChuaXet()
{
  for (int i = 0; i < n; i++)
    if (chuaXet[i] == 1)
      return i;
  return -1;
}

// Dem so thanh phan lien thong

int DemSLT()
{
  int slt = 0;
  KhoiTao_ChuaXet();
  while (KT_ChuaXet() != -1)
  {
    int i = KT_ChuaXet();
    DFS(i);
    slt++;
  }
  cout << "\n So lien thong: " << slt;
  return slt;
}

// tim bac cac dinh
int Deg(int i)
{
  int deg = 0;
  for (int j = 0; j < n; j++)
  {
    deg += A[i][j];
  }
  return deg;
}

// Kiem tra do thi Euler

void Test_Euler()
{
  if (DemSLT() == 1)
  {
    // tim bac cua do thi
    int soDinhLe = 0;
    for (int i = 0; i < n; i++)
      if (Deg(i) % 2 != 0)
        soDinhLe++;
    if (soDinhLe == 0)
      cout << "\n Do thi la Euler";
    else if (soDinhLe == 2)
      cout << "\n Do thi la nua Euler";
    else
      cout << "\n Do thi khong phai Euler";
  }
  else
    cout << "\n Do thi khong la Euler";
}

// ham chinh

int main()
{
  // doc ma tran
  Doc_File(A, n);
  // Duyet do thi DFS
  KhoiTao_ChuaXet();
  cout << "\n Duyet do thi DFS: ";
  DFS(0);
  // Duyet do thi BFS
  KhoiTao_ChuaXet();
  cout << "\n Duyet do thi BFS: ";
  BFS(0);

  // Dem so lien thong
  DemSLT();

  // Kiem tra Euler
  Test_Euler();
  return 0;
}