#include <bits/stdc++.h>
using namespace std;
const int INF = 0X3F3F3F3F;
const double PI = acos(-1.0);
const double EPS = 1e-8;
const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int dx[] = {-1, 0, 1, 0}, dy[] = {0, 1, 0, -1};
inline int sgn(double x) { return x < -EPS ? -1 : x > EPS ? 1 : 0; }
template <class T>
inline T sqr(const T& x) {
  return x * x;
}
template <class T>
inline int toint(const T& x) {
  stringstream ss;
  ss << x;
  int r;
  ss >> r;
  return r;
}
template <class T>
inline int todouble(const T& x) {
  stringstream ss;
  ss << x;
  double r;
  ss >> r;
  return r;
}
template <class T>
inline string tostr(const T& x) {
  stringstream ss;
  ss << x;
  return ss.str();
}
inline string tolower(string s) {
  for (int i = 0; i < (int)(s.size()); ++i) s[i] = tolower(s[i]);
  return s;
}
inline string toupper(string s) {
  for (int i = 0; i < (int)(s.size()); ++i) s[i] = toupper(s[i]);
  return s;
}
template <class T>
vector<T> split(string s, char c = ' ') {
  stringstream ss(s);
  vector<T> res;
  T t;
  while (ss >> t) {
    res.push_back(t);
    if (ss.peek() == c) ss.ignore();
  }
  return res;
}
template <class T>
vector<T> stov(string s) {
  vector<T> vi;
  stringstream ss(s);
  T v;
  while (ss >> v) vi.push_back(v);
  return vi;
}
template <class T>
string vtos(const vector<T>& vi) {
  stringstream ss;
  for (int i = 0; i < (int)(vi.size()); ++i) {
    if (i > 0) ss << ' ';
    ss << vi[i];
  }
  return ss.str();
}
template <class T>
inline T gcd(T a, T b) {
  return b ? gcd(b, a % b) : a;
}
template <class T>
inline T lcm(T a, T b) {
  return a / gcd(a, b) * b;
}
template <class T>
inline vector<pair<T, int> > factorize(T n) {
  vector<pair<T, int> > R;
  for (T i = 2; n > 1;) {
    if (n % i == 0) {
      int C = 0;
      while (n % i == 0) C++, n /= i;
      R.push_back(make_pair(i, C));
    }
    i++;
    if (i > n / i) i = n;
  }
  if (n > 1) R.push_back(make_pair(n, 1));
  return R;
}
template <class T>
inline bool isprime(T n) {
  if (n < 2) return false;
  for (T i = 2; i * i <= n; i++)
    if (n % i == 0) return false;
  return true;
}
template <class T>
inline T phi(T n) {
  vector<pair<T, int> > R = factorize(n);
  T r = n;
  for (int i = 0; i < (int)(R.size()); ++i)
    r = r / R[i].first * (R[i].first - 1);
  return r;
}
struct P {
  int x, y;
  P(int _x = 0, int _y = 0) : x(_x), y(_y) {}
  friend double dist(const P& p1, const P& p2) {
    return sqrt(double(p1.x - p2.x) * (p1.x - p2.x) +
                double(p1.y - p2.y) * (p1.y - p2.y));
  }
  void out() { printf("%d %d\n", x, y); }
};
int main() {
  int n, m;
  while (cin >> n >> m) {
    if (n == 0) {
      P(0, 1).out();
      P(0, m).out();
      P(0, 0).out();
      P(0, m - 1).out();
    } else if (m == 0) {
      P(1, 0).out();
      P(n, 0).out();
      P(0, 0).out();
      P(n - 1, 0).out();
    } else {
      if (n < m) {
        if (sgn(sqrt(m * m + n * n) + m - 2 * sqrt(m * m + (n - 1) * (n - 1))) >
            0) {
          P(0, 0).out();
          P(n, m).out();
          P(n, 0).out();
          P(0, m).out();
        } else {
          P(1, 0).out();
          P(n, m).out();
          P(0, 0).out();
          P(n - 1, m).out();
        }
      } else {
        if (sgn(sqrt(m * m + n * n) + n - 2 * sqrt(n * n + (m - 1) * (m - 1))) >
            0) {
          P(0, 0).out();
          P(n, m).out();
          P(0, m).out();
          P(n, 0).out();
        } else {
          P(0, 1).out();
          P(n, m).out();
          P(0, 0).out();
          P(n, m - 1).out();
        }
      }
    }
  }
}

### Prompt

Please formulate a cpp solution to the following problem:

You are given a rectangular grid of lattice points from (0, 0) to (n, m) inclusive. You have to choose exactly 4 different points to build a polyline possibly with self-intersections and self-touching. This polyline should be as long as possible.

A polyline defined by points p1, p2, p3, p4 consists of the line segments p1 p2, p2 p3, p3 p4, and its length is the sum of the lengths of the individual line segments.

Input

The only line of the input contains two integers n and m (0 ≤ n, m ≤ 1000). It is guaranteed that grid contains at least 4 different points.

Output

Print 4 lines with two integers per line separated by space — coordinates of points p1, p2, p3, p4 in order which represent the longest possible polyline.

Judge program compares your answer and jury's answer with 10 - 6 precision.

Examples

Input

1 1


Output

1 1
0 0
1 0
0 1


Input

0 10


Output

0 1
0 10
0 0
0 9

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const int INF = 0X3F3F3F3F;
const double PI = acos(-1.0);
const double EPS = 1e-8;
const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int dx[] = {-1, 0, 1, 0}, dy[] = {0, 1, 0, -1};
inline int sgn(double x) { return x < -EPS ? -1 : x > EPS ? 1 : 0; }
template <class T>
inline T sqr(const T& x) {
  return x * x;
}
template <class T>
inline int toint(const T& x) {
  stringstream ss;
  ss << x;
  int r;
  ss >> r;
  return r;
}
template <class T>
inline int todouble(const T& x) {
  stringstream ss;
  ss << x;
  double r;
  ss >> r;
  return r;
}
template <class T>
inline string tostr(const T& x) {
  stringstream ss;
  ss << x;
  return ss.str();
}
inline string tolower(string s) {
  for (int i = 0; i < (int)(s.size()); ++i) s[i] = tolower(s[i]);
  return s;
}
inline string toupper(string s) {
  for (int i = 0; i < (int)(s.size()); ++i) s[i] = toupper(s[i]);
  return s;
}
template <class T>
vector<T> split(string s, char c = ' ') {
  stringstream ss(s);
  vector<T> res;
  T t;
  while (ss >> t) {
    res.push_back(t);
    if (ss.peek() == c) ss.ignore();
  }
  return res;
}
template <class T>
vector<T> stov(string s) {
  vector<T> vi;
  stringstream ss(s);
  T v;
  while (ss >> v) vi.push_back(v);
  return vi;
}
template <class T>
string vtos(const vector<T>& vi) {
  stringstream ss;
  for (int i = 0; i < (int)(vi.size()); ++i) {
    if (i > 0) ss << ' ';
    ss << vi[i];
  }
  return ss.str();
}
template <class T>
inline T gcd(T a, T b) {
  return b ? gcd(b, a % b) : a;
}
template <class T>
inline T lcm(T a, T b) {
  return a / gcd(a, b) * b;
}
template <class T>
inline vector<pair<T, int> > factorize(T n) {
  vector<pair<T, int> > R;
  for (T i = 2; n > 1;) {
    if (n % i == 0) {
      int C = 0;
      while (n % i == 0) C++, n /= i;
      R.push_back(make_pair(i, C));
    }
    i++;
    if (i > n / i) i = n;
  }
  if (n > 1) R.push_back(make_pair(n, 1));
  return R;
}
template <class T>
inline bool isprime(T n) {
  if (n < 2) return false;
  for (T i = 2; i * i <= n; i++)
    if (n % i == 0) return false;
  return true;
}
template <class T>
inline T phi(T n) {
  vector<pair<T, int> > R = factorize(n);
  T r = n;
  for (int i = 0; i < (int)(R.size()); ++i)
    r = r / R[i].first * (R[i].first - 1);
  return r;
}
struct P {
  int x, y;
  P(int _x = 0, int _y = 0) : x(_x), y(_y) {}
  friend double dist(const P& p1, const P& p2) {
    return sqrt(double(p1.x - p2.x) * (p1.x - p2.x) +
                double(p1.y - p2.y) * (p1.y - p2.y));
  }
  void out() { printf("%d %d\n", x, y); }
};
int main() {
  int n, m;
  while (cin >> n >> m) {
    if (n == 0) {
      P(0, 1).out();
      P(0, m).out();
      P(0, 0).out();
      P(0, m - 1).out();
    } else if (m == 0) {
      P(1, 0).out();
      P(n, 0).out();
      P(0, 0).out();
      P(n - 1, 0).out();
    } else {
      if (n < m) {
        if (sgn(sqrt(m * m + n * n) + m - 2 * sqrt(m * m + (n - 1) * (n - 1))) >
            0) {
          P(0, 0).out();
          P(n, m).out();
          P(n, 0).out();
          P(0, m).out();
        } else {
          P(1, 0).out();
          P(n, m).out();
          P(0, 0).out();
          P(n - 1, m).out();
        }
      } else {
        if (sgn(sqrt(m * m + n * n) + n - 2 * sqrt(n * n + (m - 1) * (m - 1))) >
            0) {
          P(0, 0).out();
          P(n, m).out();
          P(0, m).out();
          P(n, 0).out();
        } else {
          P(0, 1).out();
          P(n, m).out();
          P(0, 0).out();
          P(n, m - 1).out();
        }
      }
    }
  }
}

```