Problem: We understand that reading English is a great pain to many of you. So we’ll keep this problem statememt simple. Write a program that reports the point equally distant from a set of lines given as the input. In case of no solutions or multiple solutions, your program should report as such.



Input

The input consists of multiple datasets. Each dataset is given in the following format:

n
x1,1 y1,1 x1,2 y1,2
x2,1 y2,1 x2,2 y2,2
...
xn,1 yn,1 xn,2 yn,2


n is the number of lines (1 ≤ n ≤ 100); (xi,1, yi,1) and (xi,2, yi,2) denote the different points the i-th line passes through. The lines do not coincide each other. The coordinates are all integers between -10000 and 10000.

The last dataset is followed by a line containing one zero. This line is not a part of any dataset and should not be processed.

Output

For each dataset, print a line as follows. If there is exactly one point equally distant from all the given lines, print the x- and y-coordinates in this order with a single space between them. If there is more than one such point, just print "Many" (without quotes). If there is none, just print "None" (without quotes).

The coordinates may be printed with any number of digits after the decimal point, but should be accurate to 10-4.

Example

Input

2
-35 -35 100 100
-49 49 2000 -2000
4
0 0 0 3
0 0 3 0
0 3 3 3
3 0 3 3
4
0 3 -4 6
3 0 6 -4
2 3 6 6
-1 2 -4 6
0


Output

Many
1.5000 1.5000
1.000 1.000

Solution (in CPP):

Solution:
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <cstdio>
#include <set>
using namespace std;
#define EPS (1.0e-5)
#define equals(a, b) (fabs((a) - (b)) < EPS)

class Point {
public:
  double x, y;
  Point(double x = 0, double y = 0) : x(x), y(y) {}
  Point operator + (Point p) { return Point(x+p.x, y+p.y); }
  Point operator - (Point p) { return Point(x-p.x, y-p.y); }
  Point operator * (double a) { return Point(x*a, y*a); }
  Point operator / (double a) { return Point(x/a, y/a); }
  bool operator == (const Point &p) const {
    return equals(x, p.x) && equals(y, p.y);
  }
  bool operator < (const Point &p) const {
    if(!equals(x, p.x)) return x < p.x;
    if(!equals(y, p.y)) return y < p.y;
    return false;
  }
};
typedef Point Vector;

class Segment {
public:
  Point p1, p2;
  Segment() {}
  Segment(Point p1, Point p2) {
    this->p1 = p1;
    this->p2 = p2;
  }
};
typedef Segment Line;

double norm(Vector a) { return a.x*a.x + a.y*a.y; }
double abs(Vector a) { return sqrt(norm(a)); }
double dot(Vector a, Vector b) { return a.x*b.x + a.y*b.y; }
double cross(Vector a, Vector b) { return a.x*b.y - a.y*b.x; }

bool isParallel(Vector a, Vector b) {
  return equals(cross(a, b), 0.0);
}

bool isParallel(Line s1, Line s2) {
  return isParallel(s1.p2 - s1.p1, s2.p2 - s2.p1);
}
int ccw(Point p0, Point p1, Point p2) {
  Vector a = p1 - p0;
  Vector b = p2 - p0;
  if(cross(a, b) > EPS) return 1;
  if(cross(a, b) < -EPS) return -1;
  if(dot(a, b) < -EPS) return 2;
  if(norm(a) < norm(b)) return -2;
  return 0;
}
Point getCrossPoint(Line s1, Line s2) {
  Vector a = s1.p2 - s1.p1;
  Vector b = s2.p2 - s2.p1;
  double d1 = cross(b, s2.p1 - s1.p1);
  double d2 = cross(b, a);
  return s1.p1 + a*d1/d2;
}
double getDistanceLP(Line s, Point p) {
  return fabs(cross(s.p2 - s.p1, p - s.p1))/abs(s.p2-s.p1);
}

Vector getOthogonalV(Vector a) {
  return Vector(-a.y, a.x);
}

Line getOthogonalL(Line s) {
  return Line(s.p1, s.p1 + getOthogonalV(s.p2 - s.p1));
}


Line getBisector(Line s1, Line s2) {
  Vector a = s1.p2 - s1.p1;
  Vector b = s2.p2 - s2.p1;
  if(isParallel(a, b)) {
    double d = cross(a, s2.p1-s1.p1)/abs(a)/2.0;
    /*double d = getDistanceLP(s1, s2.p1)/2.0;
    Vector vn;
    if(ccw(s1.p1, s1.p2, s2.p1) >= 1) {
      vn.x = -a.y;
      vn.y = a.x;
    } else {
      vn.x = a.y;
      vn.y = -a.x;
    }
    vn = vn*d/abs(vn);
    return Line(s1.p1 + vn, s1.p2 + vn);*/
    Vector c = getOthogonalV(a);
    c = c / abs(c);
    c = c * d;
    return Line(s1.p1 + c, s1.p2 + c);
  } else {
    Point p = getCrossPoint(s1, s2);
    return Line(p, p + a + b*sqrt(norm(a)/norm(b)));
  }
}


int n;
Line s[100];

void make(vector<Line> &v) {
  for(int i = 1; i < n; ++i) {
    Line l = getBisector(s[0], s[i]);
    v.push_back(l);
    if(!isParallel(s[0], s[i])) {
      v.push_back(getOthogonalL(l));
    }
  }
}

bool check(Point &p) {
  double d = getDistanceLP(s[0], p);
  for(int i = 1; i < n; ++i) {
    if(!equals(d, getDistanceLP(s[i], p))) return false;
  }
  return true;
}

void solve() {
  if(n <= 2) {
    cout << "Many" << endl;
    return;
  }

  vector<Line> bl;
  make(bl);

  vector<Point> cp;
  for(int i = 0; i < bl.size(); ++i) {
    for(int j = i+1; j < bl.size(); ++j) {
      if(isParallel(bl[i], bl[j])) continue;
      cp.push_back(getCrossPoint(bl[i], bl[j]));
    }
  }
  sort(cp.begin(), cp.end());
  cp.erase(unique(cp.begin(), cp.end()), cp.end());

  int count = 0, pos = -1;

  for(int i = 0; i < cp.size(); ++i) {
    if(check(cp[i])) {
      count++;
      if(count == 2) break;
      pos = i;
    }
  }

  switch(count) {
  case 0: cout << "None" << endl; break;
  case 1: printf("%.5f %.5f\n", cp[pos].x, cp[pos].y); break;
  case 2: cout << "Many" << endl; break;
  }
}

int main() {
  while((cin >> n) && n) {
    for(int i = 0; i < n; ++i) {
      cin >> s[i].p1.x >> s[i].p1.y >> s[i].p2.x >> s[i].p2.y;
    }
    solve();
  }
}