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;
typedef complex<double> Point;
using Circle = struct{Point c; double r;};
typedef vector<Point> Polygon;
typedef Point Vector;
typedef pair<Point, Point> Segment;
typedef Segment Line;
constexpr double EPS = (1e-9L);
enum CCW { ONLINE_FRONT = -2, CLOCKWISE, ON_SEGMENT, COUNTER_CLOCKWISE, ONLINE_BACK };
double dot(const Point& p1, const Point& p2) { return (conj(p1) * p2).real(); }
double cross(const Point& p1, const Point& p2) { return (conj(p1) * p2).imag(); }
constexpr bool eq(double a) { return abs(a) < EPS; }
Point project(Segment s, Point p) {
	Vector base = s.fi - s.se;
	double r = dot(p - s.fi, base) / norm(base);
	return s.fi + base * r;
}
Point reflect(Segment s, Point p) { return p + (project(s, p) - p) * 2.0; }
int ccw(const Point& p1, const Point& p2, const Point& p3) {
	Point a = p2 - p1, b = p3 - p1;
	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;
}
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.fi, s1.se, s2.fi, s2.se);
}
double getDistance(Point &a, Point &b) { return abs(a - b); }
double getDistanceLP(Line &l, Point &p) {
	return abs(cross(l.se - l.fi, p - l.fi) / abs(l.se - l.fi));
}
double getDistanceSP(Segment &s, Point &p) {
	if(dot(s.se - s.fi, p - s.fi) < 0.0) return abs(p - s.fi);
	if(dot(s.fi - s.se, p - s.se) < 0.0) return abs(p - s.se);
	return getDistanceLP(s, p);
}
double getDistance(Segment &s1, Segment &s2) {
	if(intersect(s1, s2)) return 0.0;
	return min(min(getDistanceSP(s1, s2.fi), getDistanceSP(s1, s2.se)),
				min(getDistanceSP(s2, s1.fi), getDistanceSP(s2, s1.se)));
}
Point getCrossPoint(Segment s1, Segment s2) {
	Vector base = s2.se - s2.fi;
	double d1 = abs(cross(base, s1.fi - s2.fi));
	double d2 = abs(cross(base, s1.se - s2.fi));
	double t = d1 / (d1 + d2);
	return s1.fi + (s1.se - s1.fi) * t;
}
pair<Point, Point> getCrossPoints(Circle c, Line l) {
	Vector pr = project(l, c.c);
	Vector e = (l.se - l.fi) / abs(l.se - l.fi);
	double base = sqrt(c.r * c.r - norm(pr - c.c));
	return mp(pr + e * base, pr - e * base);
}
pair<Point, Point> getCrossPoints(Circle c1, Circle c2) {
	double d = abs(c1.c - c2.c);
	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.real() < cpc.fi.real() || (cpc.se.real() == cpc.fi.real() && cpc.se.imag() < cpc.fi.imag()))
		swap(cpc.se, cpc.fi);
	cout << cpc.fi.real() << " " << cpc.fi.imag() << " " << cpc.se.real() << " " << cpc.se.imag() << "\n";
	return 0;
}