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 <bits/stdc++.h>
using namespace std;
struct cww{cww(){ios::sync_with_stdio(false);cin.tie(0);}}star;
#define P(x) cout << (x) << "\n"
#define p(x) cout << (x)
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define vv(type, c, m, n, i) vector<vector<type>> c(m, vector<type>(n, i));
#define rep(i,a,n) for(int i=(a), i##_len=(n); i<i##_len; ++i)
#define rrep(i,a,n) for(int i=(a), i##_len=(n); i>i##_len; --i)
#define len(x) ((int)(x).size())
#define mp make_pair
#define eb emplace_back
#define fi first
#define se second
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<long long> vll;
typedef vector<string> vs;
typedef vector<bool> vb;
#define EPS (1e-10)
#define equals(a, b) (fabs((a) - (b)) < EPS)
enum CCW { ONLINE_FRONT = -2, CLOCKWISE, ON_SEGMENT, COUNTER_CLOCKWISE, ONLINE_BACK };
struct Point {
	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 * (Point p) { return Point(x * p.x, y * p.y); }
	Point operator * (double p) { return Point(x * p, y * p); }
	Point operator / (Point p) { return Point(x / p.x, y / p.y); }
	Point operator / (double p) { return Point(x / p, y / p); }
	void insert(double a, double b) { x = a; y = b; }
	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;
struct Circle {
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0) : c(c), r(r) {}
};
typedef vector<Point> Polygon;
struct Segment {
	Vector p1, p2;
	Segment(double x1 = 0.0, double y1 = 0.0, double x2 = 0.0, double y2 = 0.0):
		p1(x1, y1), p2(x2, y2) {}
	Segment(Point a1, Point a2) : p1(a1), p2(a2) {}
	void insert(Vector a1, Vector a2) { p1 = a1; p2 = a2; }
};
typedef Segment Line;
inline double dot(Vector a, Vector b) { return a.x * b.x + a.y * b.y; }
inline double cross(Vector a, Vector b) { return a.x * b.y - a.y * b.x; }
inline bool isOrthogonal(Vector a, Vector b) { return equals(dot(a, b), 0.0); }
inline bool isOrthogonal(Vector a1, Vector a2, Vector b1, Vector b2) {
	return isOrthogonal(a1 - a2, b1 - b2);
}
inline bool isOrthogonal(Segment s1, Segment s2) {
	return equals(dot(s1.p2 - s1.p1, s2.p2 - s2.p1), 0.0);
}
inline bool isParallel(Vector a, Vector b) { return equals(cross(a, b), 0.0); }
inline bool isParallel(Vector a1, Vector a2, Vector b1, Vector b2) {
	return isParallel(a1 - a2, b1 - b2);
}
inline 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;
}
int ccw(Point &p0, Point p1, Point p2) {
	Vector a = p1 - p0;
	Vector b = p2 - p0;
	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);
}
double getDistance(Point &a, Point &b) { return (a - b).abs(); }
double getDistanceLP(Line &l, Point &p) {
	return abs(cross(l.p2 - l.p1, p - l.p1) / (l.p2 - l.p1).abs());
}
double getDistanceSP(Segment &s, Point &p) {
	if(dot(s.p2 - s.p1, p - s.p1) < 0.0) return (p - s.p1).abs();
	if(dot(s.p1 - s.p2, p - s.p2) < 0.0) return (p - s.p2).abs();
	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)));
}
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;
}
double arg(Vector p) { return atan2(p.y, p.x); }
Vector polar(double a, double r) { return Point(cos(r) * a, sin(r) * a); }
pair<Point, Point> getCrossPoints(Circle c, Line l) {
	Vector pr = project(l, c.c);
	Vector e = (l.p2 - l.p1) / (l.p2 - l.p1).abs();
	double base = sqrt(c.r * c.r - (pr - c.c).norm());
	return mp(pr + e * base, pr - e * base);
}
pair<Point, Point> getCrossPoints(Circle c1, Circle c2) {
	double d = (c1.c - c2.c).abs();
	double a = acos((c1.r * c1.r + d * d - c2.r * c2.r) / (2.0 * c1.r * d));
	double t = arg(c2.c - c1.c);
	return mp(c1.c + polar(c1.r, t + a), c1.c + polar(c1.r, t - a));
}
int main() {
	cout << setprecision(10) << fixed;
	double x1, y1, r1; cin >> x1 >> y1 >> r1; Circle c1(Point(x1, y1), r1);
	double x2, y2, r2; cin >> x2 >> y2 >> r2; Circle c2(Point(x2, y2), r2);
	pair<Point, Point> cpc = getCrossPoints(c1, c2);
	if(cpc.se < cpc.fi) swap(cpc.se, cpc.fi);
	cout << cpc.fi.x << " " << cpc.fi.y << " " << cpc.se.x << " " << cpc.se.y << "\n";
	return 0;
}