Problem: You are given n points with integer coordinates on the plane. Points are given in a way such that there is no triangle, formed by any three of these n points, which area exceeds S.

Alyona tried to construct a triangle with integer coordinates, which contains all n points and which area doesn't exceed 4S, but, by obvious reason, had no success in that. Please help Alyona construct such triangle. Please note that vertices of resulting triangle are not necessarily chosen from n given points.

Input

In the first line of the input two integers n and S (3 ≤ n ≤ 5000, 1 ≤ S ≤ 1018) are given — the number of points given and the upper bound value of any triangle's area, formed by any three of given n points.

The next n lines describes given points: ith of them consists of two integers xi and yi ( - 108 ≤ xi, yi ≤ 108) — coordinates of ith point.

It is guaranteed that there is at least one triple of points not lying on the same line.

Output

Print the coordinates of three points — vertices of a triangle which contains all n points and which area doesn't exceed 4S.

Coordinates of every triangle's vertex should be printed on a separate line, every coordinate pair should be separated by a single space. Coordinates should be an integers not exceeding 109 by absolute value.

It is guaranteed that there is at least one desired triangle. If there is more than one answer, print any of them.

Example

Input

4 1
0 0
1 0
0 1
1 1


Output

-1 0
2 0
0 2

Note

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Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;
const int N = 1e6 + 10;
const long long INF = 1e18;
const long double EPS = 1e-12;
struct Point {
  long double x, y;
  Point() {}
  Point(long double x, long double y) : x(x), y(y) {}
  Point(const Point &p) : x(p.x), y(p.y) {}
  Point operator+(const Point &p) const { return Point(x + p.x, y + p.y); }
  Point operator-(const Point &p) const { return Point(x - p.x, y - p.y); }
  Point operator*(long double c) const { return Point(x * c, y * c); }
  Point operator/(long double c) const { return Point(x / c, y / c); }
};
long double dot(Point p, Point q) { return p.x * q.x + p.y * q.y; }
long double dist2(Point p, Point q) { return dot(p - q, p - q); }
long double cross(Point p, Point q) { return p.x * q.y - p.y * q.x; }
ostream &operator<<(ostream &os, const Point &p) {
  os << "(" << p.x << "," << p.y << ")";
}
bool operator<(const Point &a, const Point &b) {
  return make_pair(a.x, a.y) < make_pair(b.x, b.y);
}
bool operator==(const Point &a, const Point &b) {
  return abs(a.x - b.x) < EPS && abs(a.y - b.y) < EPS;
}
Point RotateCCW90(Point p) { return Point(-p.y, p.x); }
Point RotateCW90(Point p) { return Point(p.y, -p.x); }
Point RotateCCW(Point p, long double t) {
  return Point(p.x * cos(t) - p.y * sin(t), p.x * sin(t) + p.y * cos(t));
}
Point ProjectPointLine(Point a, Point b, Point c) {
  return a + (b - a) * dot(c - a, b - a) / dot(b - a, b - a);
}
Point ProjectPointSegment(Point a, Point b, Point c) {
  long double r = dot(b - a, b - a);
  if (fabs(r) < EPS) return a;
  r = dot(c - a, b - a) / r;
  if (r < 0) return a;
  if (r > 1) return b;
  return a + (b - a) * r;
}
pair<Point, Point> Perpendicularline(Point a, Point b, Point c) {
  c = ProjectPointLine(a, b, c);
  if (a == c) a = b;
  return make_pair(c, c + RotateCW90(a - c));
}
long double DistancePointSegment(Point a, Point b, Point c) {
  return sqrt(dist2(c, ProjectPointSegment(a, b, c)));
}
long double DistancePointPlane(long double x, long double y, long double z,
                               long double a, long double b, long double c,
                               long double d) {
  return fabs(a * x + b * y + c * z - d) / sqrt(a * a + b * b + c * c);
}
bool LinesParallel(Point a, Point b, Point c, Point d) {
  return fabs(cross(b - a, c - d)) < EPS;
}
bool LinesCollinear(Point a, Point b, Point c, Point d) {
  return LinesParallel(a, b, c, d) && fabs(cross(a - b, a - c)) < EPS &&
         fabs(cross(c - d, c - a)) < EPS;
}
bool SegmentsIntersect(Point a, Point b, Point c, Point d) {
  if (LinesCollinear(a, b, c, d)) {
    if (dist2(a, c) < EPS || dist2(a, d) < EPS || dist2(b, c) < EPS ||
        dist2(b, d) < EPS)
      return true;
    if (dot(c - a, c - b) > 0 && dot(d - a, d - b) > 0 && dot(c - b, d - b) > 0)
      return false;
    return true;
  }
  if (cross(d - a, b - a) * cross(c - a, b - a) > 0) return false;
  if (cross(a - c, d - c) * cross(b - c, d - c) > 0) return false;
  return true;
}
Point ComputeLineIntersection(Point a, Point b, Point c, Point d) {
  b = b - a;
  d = c - d;
  c = c - a;
  assert(dot(b, b) > EPS && dot(d, d) > EPS);
  return a + b * cross(c, d) / cross(b, d);
}
Point ComputeCircleCenter(Point a, Point b, Point c) {
  b = (a + b) / 2;
  c = (a + c) / 2;
  return ComputeLineIntersection(b, b + RotateCW90(a - b), c,
                                 c + RotateCW90(a - c));
}
bool PointInPolygon(const vector<Point> &p, Point q) {
  bool c = 0;
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    if ((p[i].y <= q.y && q.y < p[j].y || p[j].y <= q.y && q.y < p[i].y) &&
        q.x < p[i].x + (p[j].x - p[i].x) * (q.y - p[i].y) / (p[j].y - p[i].y))
      c = !c;
  }
  return c;
}
bool PointOnPolygon(const vector<Point> &p, Point q) {
  for (int i = 0; i < p.size(); i++)
    if (dist2(ProjectPointSegment(p[i], p[(i + 1) % p.size()], q), q) < EPS)
      return true;
  return false;
}
vector<Point> CircleLineIntersection(Point a, Point b, Point c, long double r) {
  vector<Point> ret;
  b = b - a;
  a = a - c;
  long double A = dot(b, b);
  long double B = dot(a, b);
  long double C = dot(a, a) - r * r;
  long double D = B * B - A * C;
  if (D < -EPS) return ret;
  ret.push_back(c + a + b * (-B + sqrt(D + EPS)) / A);
  if (D > EPS) ret.push_back(c + a + b * (-B - sqrt(D)) / A);
  return ret;
}
vector<Point> CircleCircleIntersection(Point a, Point b, long double r,
                                       long double R) {
  vector<Point> ret;
  long double d = sqrt(dist2(a, b));
  if (d > r + R || d + min(r, R) < max(r, R)) return ret;
  long double x = (d * d - R * R + r * r) / (2 * d);
  long double y = sqrt(r * r - x * x);
  Point v = (b - a) / d;
  ret.push_back(a + v * x + RotateCCW90(v) * y);
  if (y > 0) ret.push_back(a + v * x - RotateCCW90(v) * y);
  return ret;
}
long double ComputeSignedArea(const vector<Point> &p) {
  long double area = 0;
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    area += p[i].x * p[j].y - p[j].x * p[i].y;
  }
  return area / 2.0;
}
long double ComputeArea(const vector<Point> &p) {
  return fabs(ComputeSignedArea(p));
}
Point ComputeCentroid(const vector<Point> &p) {
  Point c(0, 0);
  long double scale = 6.0 * ComputeSignedArea(p);
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    c = c + (p[i] + p[j]) * (p[i].x * p[j].y - p[j].x * p[i].y);
  }
  return c / scale;
}
bool IsSimple(const vector<Point> &p) {
  for (int i = 0; i < p.size(); i++) {
    for (int k = i + 1; k < p.size(); k++) {
      int j = (i + 1) % p.size();
      int l = (k + 1) % p.size();
      if (i == l || j == k) continue;
      if (SegmentsIntersect(p[i], p[j], p[k], p[l])) return false;
    }
  }
  return true;
}
long double area2(Point a, Point b, Point c) { return cross(b - a, c - a); }
void ConvexHull(vector<Point> &pts) {
  sort(pts.begin(), pts.end());
  pts.erase(unique(pts.begin(), pts.end()), pts.end());
  vector<Point> up, dn;
  for (int i = 0; i < pts.size(); i++) {
    while (up.size() > 1 && area2(up[up.size() - 2], up.back(), pts[i]) >= 0)
      up.pop_back();
    while (dn.size() > 1 && area2(dn[dn.size() - 2], dn.back(), pts[i]) <= 0)
      dn.pop_back();
    up.push_back(pts[i]);
    dn.push_back(pts[i]);
  }
  pts = dn;
  for (int i = (int)up.size() - 2; i >= 1; i--) pts.push_back(up[i]);
}
bool in_convex(vector<Point> &l, Point p) {
  int a = 1, b = l.size() - 1, c;
  if (((l[a].x - l[0].x) * (l[b].y - l[0].y) -
       (l[a].y - l[0].y) * (l[b].x - l[0].x)) > 0)
    swap(a, b);
  if (((l[a].x - l[0].x) * (p.y - l[0].y) -
       (l[a].y - l[0].y) * (p.x - l[0].x)) >= 0 ||
      ((l[b].x - l[0].x) * (p.y - l[0].y) -
       (l[b].y - l[0].y) * (p.x - l[0].x)) <= 0)
    return false;
  while (abs(a - b) > 1) {
    c = (a + b) / 2;
    if (((l[c].x - l[0].x) * (p.y - l[0].y) -
         (l[c].y - l[0].y) * (p.x - l[0].x)) > 0)
      b = c;
    else
      a = c;
  }
  return ((l[b].x - l[a].x) * (p.y - l[a].y) -
          (l[b].y - l[a].y) * (p.x - l[a].x)) <= 0;
}
vector<pair<Point, Point> > find_tangent(Point a, Point b, long double r1,
                                         long double r2) {
  vector<pair<Point, Point> > Q;
  if (dist2(a, b) <= (r1 - r2) * (r1 - r2)) return Q;
  int f = 0;
  if (r2 > r1) swap(a, b), swap(r1, r2), f = 1;
  if (abs(r2 - r1) <= EPS) {
    pair<Point, Point> m = Perpendicularline(a, b, a),
                       n = Perpendicularline(a, b, b);
    vector<Point> l1 = CircleLineIntersection(m.first, m.second, a, r1),
                  l2 = CircleLineIntersection(n.first, n.second, b, r2);
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) < 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  } else {
    Point out = (b * r1 - a * r2) / (r1 - r2);
    assert(dist2(out, a) >= r1 && dist2(out, b) >= r2);
    vector<Point> l1 = CircleCircleIntersection(
                      a, out, r1, sqrt(dist2(out, a) - (r1) * (r1))),
                  l2 = CircleCircleIntersection(
                      b, out, r2, sqrt(dist2(out, b) - (r2) * (r2)));
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) < 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  }
  if (dist2(a, b) > (r1 + r2) * (r1 + r2) + EPS) {
    Point out = (b * r1 + a * r2) / (r1 + r2);
    assert(dist2(out, a) >= r1 && dist2(out, b) >= r2);
    vector<Point> l1 = CircleCircleIntersection(
                      a, out, r1, sqrt(dist2(out, a) - (r1) * (r1))),
                  l2 = CircleCircleIntersection(
                      b, out, r2, sqrt(dist2(out, b) - (r2) * (r2)));
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) > 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  } else if (abs((r1 + r2) * (r1 + r2) - dist2(a, b)) < EPS) {
    Point out = (b * r1 + a * r2) / (r1 + r2);
    Q.push_back(Perpendicularline(a, b, out));
  }
  if (f == 1) {
    for (int i = 0; i < Q.size(); ++i) swap(Q[i].first, Q[i].second);
  }
  return Q;
}
long double error = 1e-8;
Point rect;
vector<pair<Point, long double> > circ;
bool inpoly(vector<Point> &a, Point b) {
  int n = a.size();
  for (int i = 0; i < a.size(); ++i) {
    if (DistancePointSegment(a[i], a[(i + 1) % n], b) < error) return 1;
  }
  return in_convex(a, b);
}
bool outcircle(Point cen, long double rad, Point a) {
  if (dist2(cen, a) > rad * rad - error) return 1;
  return 0;
}
Point bottom;
bool cmp(Point a, Point b) {
  long double val = cross(a - bottom, b - a);
  if (fabs(val) < EPS) {
    return dist2(bottom, b) > dist2(bottom, a);
  }
  return val > EPS;
}
int myconvexhull(vector<Point> &pts) {
  sort(pts.begin(), pts.end());
  pts.resize(unique(pts.begin(), pts.end()) - pts.begin());
  bottom = pts[0];
  sort(pts.begin() + 1, pts.end(), cmp);
  vector<Point> hull;
  hull.clear();
  for (int i = 0; i < pts.size(); ++i) {
    while (hull.size() >= 2 &&
           cross(hull[hull.size() - 2] - hull[hull.size() - 1],
                 pts[i] - hull[hull.size() - 1]) >= -1 * EPS) {
      hull.pop_back();
    }
    hull.push_back(pts[i]);
  }
  pts.clear();
  for (int i = 0; i < hull.size(); ++i) {
    pts.push_back(hull[i]);
  }
  return 0;
}
vector<Point> vec;
long double getslope(int a, int b) {
  if (abs(vec[a].x - vec[b].x) < EPS) {
    return INF;
  }
  long double val = vec[a].y - vec[b].y;
  val /= vec[a].x - vec[b].x;
  return val;
}
Point get(long double sl, int a, int b, int c) {
  if (abs(sl - INF) < EPS) {
    if (vec[b].y != vec[a].y) {
      return Point(vec[a].x, vec[b].y);
    } else {
      return Point(vec[a].x, vec[c].y);
    }
  }
  if (vec[b].x == vec[a].x) {
    b = c;
  }
  long double y2 = vec[a].y + sl * (vec[b].x - vec[a].x);
  return Point(vec[b].x, y2);
}
int main() {
  std::ios::sync_with_stdio(false);
  int n, i, j, k, a, b, c;
  long long iinf = INF;
  iinf *= INF;
  long double x, y, area = iinf;
  long long s;
  cin >> n >> s;
  for (int i = 0; i < n; ++i) {
    cin >> x >> y;
    vec.push_back(Point(x, y));
  }
  myconvexhull(vec);
  n = vec.size();
  for (int i = 0; i < n; ++i) {
    k = (i + 2) % n;
    for (j = (i + 1) % n; j != i; j = (j + 1) % n) {
      while (-1.0 * area2(vec[i], vec[j], vec[k]) +
                 area2(vec[i], vec[j], vec[(k + 1) % n]) >
             EPS) {
        k = (k + 1) % n;
      }
      if (area2(vec[i], vec[j], vec[k]) - area > EPS) {
        area = area2(vec[i], vec[j], vec[k]);
        a = i;
        b = j;
        c = k;
      }
    }
  }
  long double slopeab, slopebc, slopeac;
  Point p1, p2, p3, ans1, ans2, ans3;
  slopeab = getslope(a, b);
  slopebc = getslope(b, c);
  slopeac = getslope(a, c);
  p1 = get(slopeab, c, a, b);
  p2 = get(slopebc, a, b, c);
  p3 = get(slopeac, b, a, c);
  ans1 = ComputeLineIntersection(p1, vec[c], p2, vec[a]);
  ans2 = ComputeLineIntersection(p1, vec[c], p3, vec[b]);
  ans3 = ComputeLineIntersection(p2, vec[a], p3, vec[b]);
  cout << setprecision(30) << round(ans1.x) << " " << round(ans1.y) << endl;
  cout << setprecision(30) << round(ans2.x) << " " << round(ans2.y) << endl;
  cout << setprecision(30) << round(ans3.x) << " " << round(ans3.y) << endl;
}