Problem: For given two circles $c1$ and $c2$, print the coordinates of the cross points of them.

Constraints

* The given circle have at least one cross point and have different center coordinates.
* $-10,000 \leq c1x, c1y, c2x, c2y \leq 10,000$
* $1 \leq c1r, c2r \leq 10,000$

Input

The input is given in the following format.

$c1x\; c1y\; c1r$
$c2x\; c2y\; c2r$


$c1x$, $c1y$ and $c1r$ represent the coordinate and radius of the first circle. $c2x$, $c2y$ and $c2r$ represent the coordinate and radius of the second circle. All input values are given in integers.

Output

Print the coordinates ($x1$, $y1$) and ($x2$, $y2$) of the cross points $p1$ and $p2$ respectively in the following rules.

* If there is one cross point, print two coordinates with the same values.
* Print the coordinate with smaller $x$ first. In case of a tie, print the coordinate with smaller $y$ first.



The output values should be in a decimal fraction with an error less than 0.000001.

Examples

Input

0 0 2
2 0 2


Output

1.00000000 -1.73205080 1.00000000 1.73205080


Input

0 0 2
0 3 1


Output

0.00000000 2.00000000 0.00000000 2.00000000

Solution (in CPP):

Solution:
#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <map>
#include <set>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <bitset>
#include <climits>
#define REP(i,n) for (int i=0;i<(n);i++)
#define FOR(i,a,b) for (int i=(a);i<(b);i++)
#define RREP(i,n) for (int i=(n)-1;i>=0;i--)
#define RFOR(i,a,b) for (int i=(a)-1;i>=(b);i--)
#define ll long long
#define ull unsigned long long
int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};
const int INF = 1e9;
const int MOD = 1e9 + 7;

using namespace std;

#include <vector>
#include <cmath>
#include <cstring>

const double EPS = 1e-10;
#define equals(a,b) (fabs((a) - (b)) < EPS)
struct Point{
	double x,y;
	Point(double x = 0.0,double y =0.0):x(x),y(y){}
	Point operator + (const Point& p){ return Point(x+p.x,y+p.y);	}
	Point operator - (const Point& p){ return Point(x-p.x,y-p.y); }
	Point operator * (double k){ return Point(x*k,y*k);	}
	Point operator / (double k){ return Point(x/k,y/k); }

	double norm(){return x*x+y*y;}
	double abs(){return sqrt(norm());}

	bool operator < (const Point& p) const {
		return x != p.x ? x < p.x : y < p.y;
	}
	bool operator == (const Point &p) const{
		return fabs(x-p.x) < EPS && fabs(y-p.y) < EPS;
	}
};
typedef Point Vector;


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;
}

struct Segment{
	Point p1,p2;
	Segment(Point p1,Point p2):p1(p1),p2(p2){}
	Segment(double a,double b,double c,double d):p1(Point(a,b)),p2(Point(c,d)){}
};

typedef Segment Line;
class Circle{
public:
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0): c(c),r(r){}
	Circle(double x,double y, double r = 0.0): c(Point(x,y)),r(r){}
};
typedef vector<Point> Polygon;

bool isOrthgonal(Vector a, Vector b){
	return equals(dot(a,b),0.0);
}

bool isOrthgonal(Point a1, Point a2, Point b1, Point b2){
	return isOrthgonal(a1-a2,b1-b2);
}

bool isOrthgonal(Segment s1, Segment s2){
	return equals(dot(s1.p2 - s1.p1, s2.p2 - s2.p1),0.0);
}

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

bool isParallel(Point a1, Point a2, Point b1, Point b2){
	return isParallel(a1-a2,b1-b2);
}

bool isParallel(Segment s1, Segment s2){
	return equals(cross(s1.p2 - s1.p1,s2.p2-s2.p1),0.0);
}

Point project(Segment s,Point p){
	Vector base = s.p2 - s.p1;
	double r = dot(p-s.p1,base)/base.norm();
	return s.p1 + base * r;
}

Point reflect(Segment s, Point p){
	return p + (project(s,p) - p) * 2.0;
}



//????¨???¨????????§??????
static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;
int ccw(Vector a, Vector b){
	if(cross(a,b) > EPS)return COUNTER_CLOCKWISE;
	if(cross(a,b) < -EPS)return CLOCKWISE;
	if(dot(a,b) < -EPS)return ONLINE_BACK;
	if(a.norm() < b.norm())return ONLINE_FRONT;
	return ON_SEGMENT;
}

int ccw(Point p1,Point p2,Point p3){
	Vector a = p2 - p1;
	Vector b = p3 - p1;
	if(cross(a,b) > EPS)return COUNTER_CLOCKWISE;
	if(cross(a,b) < -EPS)return CLOCKWISE;
	if(dot(a,b) < -EPS)return ONLINE_BACK;
	if(a.norm() < b.norm())return ONLINE_FRONT;
	return ON_SEGMENT;
}


//??????????????????
bool intersect(Point p1, Point p2, Point p3,Point p4){
	return ccw(p1,p2,p3)*ccw(p1,p2,p4) <= 0 && ccw(p3,p4,p1)*ccw(p3,p4,p2) <= 0;
}

bool intersect(Segment s1,Segment s2){
	return intersect(s1.p1,s1.p2, s2.p1,s2.p2);
}

//??????
Point getCrossPoint(Segment s1, Segment s2){
	Vector base = s2.p2 - s2.p1;
	double d1 = abs(cross(base,s1.p1 - s2.p1));//?´??????§?¶????
	double d2 = abs(cross(base,s1.p2 - s2.p1));
	double t = d1 / (d1+d2);
	return s1.p1 + (s1.p2 - s1.p1)*t;
}

//{???,??´???,??????}^2????????¢
double getDistance(Point a,Point b){
	return abs(a-b);
}

double getDistanceLP(Line l, Point p){
	return abs(cross(l.p2 - l.p1, p-l.p1) / abs(l.p2 - l.p1));
}

double getDistanceSP(Segment s,Point p){
	if(dot(s.p2 - s.p1, p-s.p1) < 0.0) return abs(p-s.p1);
	if(dot(s.p1 - s.p2, p-s.p2) < 0.0) return abs(p-s.p2);
	return getDistanceLP(s,p);
}

double getDistance(Segment s1, Segment s2){
	if(intersect(s1,s2)) return 0.0;
	return min(min(getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2)),
						 min(getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2)));
}


pair<Point, Point> getCrossPoint(Circle c, Line l){
	//assert(intersect(c,l));
	Vector pr = project(l,c.c);
	Vector e = (l.p2 - l.p1)/abs(l.p2 - l.p1);
	double base = sqrt(c.r*c.r - norm(pr - c.c));
	return make_pair(pr + e*base, pr - e*base);
}

// x?????¨????§?????????????
double arg(Vector p){return atan2(p.y,p.x);}

// ?§????0?????´??????r????????¢
Vector polar(double a,double r){return Point(cos(r)*a,sin(r)*a);}

pair<Point, Point> getCrossPoint(Circle c1, Circle c2){
	//assert(intersect(c1,c2))
	double d = abs(c1.c-c2.c);//???????£?????????¢
	double a = acos((c1.r * c1.r + d*d - c2.r*c2.r)/(2*d*c1.r));//??????????????§????????¨?????????????????????????§?????±???????
	double t = arg(c2.c - c1.c);
	return make_pair(c1.c + polar(c1.r,t+a),c1.c + polar(c1.r,t-a));
}
int main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
	int a,b,c,d,e,f;
	cin>>a>>b>>c>>d>>e>>f;
	pair<Point, Point> ans = getCrossPoint(Circle(a,b,c),Circle(d,e,f));
	if(ans.first.x > ans.second.x || (fabs(ans.first.x- ans.second.x)<EPS && ans.first.y > ans.second.y))swap(ans.first,ans.second);
	cout << fixed << setprecision(8) << ans.first.x << ' ' << ans.first.y << ' ' << ans.second.x << ' ' << ans.second.y << endl;
  return 0;
}