Putting Plates

void init()
{
  int T;
  cin >> T;
  while (T--)
  {
    int n, m;
    cin >> n >> m;
    string al = "10";
    for (int i = 0; i < n; i++)
    {
      if (i == 0 )
      {
        if (m & 1)
        {
          for (int i = 0; i < (m - 1) / 2; i++)
            cout << al;
          cout << "1" << endl;
        }
        else
        {
          for (int i = 0; i < m / 2; i++)
            cout << al;
          cout << endl;
        }
      }
      else if (i & 1)
      {
        cout << string(m, '0') << endl;
      }

      else if (!(i & 1) and i != n - 1)
      {
        cout << "1";
        for (int i = 0; i < m - 2; i++)
          cout << "0";
        cout << "1" << endl;
      }
      else
      {
        if (m & 1)
        {
          for (int i = 0; i < (m - 1) / 2; i++)
            cout << al;
          cout << "1" << endl;
        }
        else
        {
          for (int i = 0; i < m / 2; i++)
            cout << al;
          cout << endl;
        }
      }
    }
  if(T!=0)  cout << endl;
  }
}