There are three points marked on the coordinate plane. The goal is to make a simple polyline, without self-intersections and self-touches, such that it passes through all these points. Also, the polyline must consist of only segments parallel to the coordinate axes. You are to find the minimum number of segments this polyline may consist of.

Input

Each of the three lines of the input contains two integers. The i-th line contains integers xi and yi ( - 109 ≤ xi, yi ≤ 109) — the coordinates of the i-th point. It is guaranteed that all points are distinct.

Output

Print a single number — the minimum possible number of segments of the polyline.

Examples

Input

1 -1
1 1
1 2


Output

1


Input

-1 -1
-1 3
4 3


Output

2


Input

1 1
2 3
3 2


Output

3

Note

The variant of the polyline in the first sample: <image> The variant of the polyline in the second sample: <image> The variant of the polyline in the third sample: <image>
#include <bits/stdc++.h>
using namespace std;
template <typename T>
inline int checkbit(T n, T i) {
  return ((n >> i) & T(1));
}
inline int bitcount(int n) { return __builtin_popcount(n); }
inline int bitcount(long long n) { return __builtin_popcountll(n); }
template <typename T>
inline bool isPowerOfTwo(T n) {
  return (n != 0 and ((n & (n - 1)) == 0));
}
inline int binlog(int n) {
  assert(n > 0);
  return 32 - __builtin_clz(n) - 1;
}
inline int binlog(long long n) {
  assert(n > 0);
  return 64 - __builtin_clzll(n) - 1;
}
template <typename A, typename B, typename C>
function<C(A)> combine(function<B(A)> f, function<C(B)> g) {
  return bind(g, bind(f, placeholders::_1));
}
template <typename T>
inline T sqr(T x) {
  T x_ = (x);
  return x_ * x_;
}
template <typename T>
inline T qbr(T x) {
  T x_ = (x);
  return ((x_ * x_) * x_);
}
template <typename T>
inline int sign(T x) {
  T x_ = (x);
  return ((x_ > T(0)) - (x_ < T(0)));
}
template <typename T>
inline T mod(T x, T m) {
  T x_ = (x);
  return (((x_) >= 0) ? ((x_) % (m)) : ((((x_) % (m)) + (m)) % (m)));
}
template <typename T>
inline T gcd(T a, T b) {
  while (b) {
    T t = a % b;
    a = b;
    b = t;
  }
  return a;
}
template <typename T>
inline T gcd_ex(T a, T b, T& x, T& y) {
  if (b == 0) {
    x = 1, y = 0;
    return a;
  }
  T x1, y1;
  T d = gcd_ex(b, a % b, x1, y1);
  x = y1;
  y = x1 - (a / b) * y1;
  return d;
}
template <typename T>
inline T lcm(T a, T b) {
  return (a * (b / gcd(a, b)));
}
template <typename Collection, typename UnaryOperation>
void foreach (Collection& col, UnaryOperation op) {
  for_each(begin(col), end(col), op);
}
template <typename Collection, typename UnaryOperation>
Collection fmap(Collection& col, UnaryOperation op) {
  transform(begin(col), end(col), col.begin(), op);
  return col;
}
template <typename Collection, typename binop>
Collection zip(Collection& fc, Collection& sc, binop op) {
  transform(begin(fc), end(fc), sc.begin(), fc.begin(), op);
  return fc;
}
template <typename Collection, typename Condition>
bool exists(Collection& col, Condition con) {
  auto exist = find_if(begin(col), end(col), con);
  return exist != col.end();
}
template <typename Collection, typename Predicate>
Collection filterNot(Collection& col, Predicate predicate) {
  auto returnIterator = remove_if(begin(col), end(col), predicate);
  col.erase(returnIterator, end(col));
  return col;
}
void fastIO() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
}
template <class T1, class T2>
istream& operator>>(istream& in, pair<T1, T2>& P) {
  in >> P.first >> P.second;
  return in;
}
template <class T>
istream& operator>>(istream& in, vector<T>& Col) {
  for (auto& el : Col) in >> el;
  return in;
}
template <class T>
inline void getarr(T* arr, int l, int r) {
  for (long long i = l; i < r + 1; i++) cin >> arr[i];
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
  os << "(" << p.first << ", " << p.second << ")";
  return os;
}
template <class T>
ostream& operator<<(ostream& os, const vector<vector<T>>& v) {
  for (auto& row : v) {
    for (auto& el : row) os << el << " ";
    os << "\n";
  }
  return os;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& Col) {
  for (auto& el : Col) os << el << " ";
  return os;
}
template <class T>
ostream& operator<<(ostream& os, const set<T>& Col) {
  for (auto& el : Col) os << el << " ";
  return os;
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const map<T1, T2>& Col) {
  for (auto& el : Col) os << el << " ";
  return os;
}
template <class T>
inline void printarr(T* arr, int l, int r) {
  for (long long i = l; i < r + 1; i++) {
    cout << arr[i] << " ";
  };
  cout << "\n";
}
template <typename First>
void read(First& t) {
  cin >> t;
}
template <typename First, typename... Args>
void read(First& f, Args&... args) {
  cin >> f;
  read(forward<Args&>(args)...);
}
template <typename T>
void print(T&& t) {
  cout << t << "\n";
}
template <typename First, typename... Args>
void print(First&& f, Args&&... args) {
  cout << f << " ";
  print(forward<Args&&>(args)...);
}
template <typename T>
void printLn(T&& t) {
  cout << t << "\n";
}
template <typename First, typename... Args>
void printLn(First&& f, Args&&... args) {
  cout << f << "\n";
  printLn(forward<Args&&>(args)...);
}
template <typename T, size_t N>
struct MakeTensor {
  template <typename... Args>
  static auto tensor(size_t first, Args... sizes)
      -> vector<decltype(MakeTensor<T, N - 1>::tensor(sizes...))> {
    auto inner = MakeTensor<T, N - 1>::tensor(sizes...);
    return vector<decltype(inner)>(first, inner);
  }
};
template <typename T>
struct MakeTensor<T, 1> {
  static vector<T> tensor(size_t size) { return vector<T>(size); }
};
template <typename T, typename... Args>
auto tensor(Args... args)
    -> decltype(MakeTensor<T, sizeof...(Args)>::tensor(args...)) {
  return MakeTensor<T, sizeof...(Args)>::tensor(args...);
}
int main() {
  fastIO();
  vector<pair<long long, long long>> pts(3);
  cin >> pts;
  sort(begin(pts), end(pts));
  if (pts[0].first == pts[1].first && pts[1].first == pts[2].first) {
    print(1);
  } else if (pts[0].second == pts[1].second && pts[1].second == pts[2].second) {
    print(1);
  } else if (pts[0].first == pts[1].first && pts[1].second == pts[2].second) {
    print(2);
  } else if (pts[0].first == pts[1].first && pts[0].second == pts[2].second) {
    print(2);
  } else if (pts[0].second == pts[2].second && pts[1].first == pts[2].first) {
    print(2);
  } else if (pts[0].second == pts[1].second && pts[1].first == pts[2].first) {
    print(2);
  } else {
    vector<pair<long long, long long>> ptsx;
    vector<bool> used(3);
    for (int i = 0; i < 3; i++) {
      for (int j = i + 1; j < 3; j++) {
        if (pts[i].first == pts[j].first) {
          ptsx.push_back(pts[i]);
          ptsx.push_back(pts[j]);
          used[i] = used[j] = true;
          break;
        }
      }
    }
    if (ptsx.empty()) {
      vector<pair<long long, long long>> ptsy;
      for (int i = 0; i < 3; i++) {
        for (int j = i + 1; j < 3; j++) {
          if (pts[i].second == pts[j].second) {
            ptsy.push_back(pts[i]);
            ptsy.push_back(pts[j]);
            used[i] = used[j] = true;
            break;
          }
        }
      }
      if (ptsy.empty()) {
        print(3);
      } else {
        int id;
        for (int i = 0; i < 3; i++) {
          if (!used[i]) id = i;
        }
        if (pts[id].first <= min(ptsy[0].first, ptsy[1].first) ||
            pts[id].first >= max(ptsy[0].first, ptsy[1].first)) {
          print(2);
        } else {
          print(3);
        }
      }
    } else {
      int id;
      for (int i = 0; i < 3; i++) {
        if (!used[i]) id = i;
      }
      if (pts[id].second <= min(ptsx[0].second, ptsx[1].second) ||
          pts[id].second >= max(ptsx[0].second, ptsx[1].second)) {
        print(2);
      } else {
        print(3);
      }
    }
  }
  return 0;
}
