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 | 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 #include <bits/stdc++.h>
 
 
 
 
 
 namespace IO {
 
 inline char read() {
 static const int IN_LEN = 1000000;
 static char buf[IN_LEN], *s, *t;
 s == t ? t = (s = buf) + fread(buf, 1, IN_LEN, stdin) : 0;
 return s == t ? -1 : *s++;
 }
 
 template<typename T>
 inline void read(T &x) {
 static char c;
 static bool iosig;
 for (c = read(), iosig = false; !isdigit(c); c = read()) {
 if (c == -1) return;
 iosig ? x = -x : 0;
 }
 for (x = 0; isdigit(c); c = read())
 x = (x + (x << 2) << 1) + (c ^ '0');
 iosig ? x = -x : 0;
 }
 
 inline int read(char *buf) {
 register int s = 0;
 register char c;
 while (c = read(), isspace(c) && c != -1);
 if (c == -1) {
 *buf = '\0';
 return -1;
 }
 do buf[s++] = c; while (c = read(), !isspace(c) && c != -1);
 buf[s] = '\0';
 return s;
 }
 
 inline void read(double &x) {
 static char buf[30];
 read(buf), x = atof(buf);
 }
 
 const int OUT_LEN = 1000000;
 
 char obuf[OUT_LEN], *oh = obuf;
 
 inline void print(char c) {
 oh == obuf + OUT_LEN ? (fwrite(obuf, 1, OUT_LEN, stdout), oh = obuf) : 0;
 *oh++ = c;
 }
 
 template<typename T>
 inline void print(T x) {
 static int buf[30], cnt;
 if (x == 0) {
 print('0');
 } else {
 x < 0 ? (print('-'), x = -x) : 0;
 for (cnt = 0; x; x /= 10) buf[++cnt] = x % 10 | 48;
 while (cnt) print((char)buf[cnt--]);
 }
 }
 
 inline void flush() {
 fwrite(obuf, 1, oh - obuf, stdout);
 }
 }
 
 namespace Task {
 
 const int MAXN = 100005;
 const double EPS = 1e-8;
 
 template<typename T>
 inline T square(const T &x) {
 return x * x;
 }
 
 struct Point {
 double x, y;
 
 Point(double x = 0, double y = 0) : x(x), y(y) {}
 
 inline double dis(const Point &p) const {
 return sqrt(square(x - p.x) + square(y - p.y));
 }
 
 inline Point operator+(const Point &p) const {
 return Point(x + p.x, y + p.y);
 }
 
 inline Point operator-(const Point &p) const {
 return Point(x - p.x, y - p.y);
 }
 
 inline Point operator*(const double i) const {
 return Point(x * i, y * i);
 }
 
 inline double operator*(const Point &p) const {
 return x * p.y - y * p.x;
 }
 
 inline double operator^(const Point &p) const {
 return x * p.x + y * p.y;
 }
 
 inline Point operator/(const double i) const {
 return Point(x / i, y / i);
 }
 
 inline void read() {
 IO::read(x), IO::read(y);
 }
 } p[MAXN];
 
 struct Circle {
 Point o;
 double r;
 
 Circle(const Point &o, const double r) : o(o), r(r) {}
 
 Circle() {}
 };
 
 struct Line {
 Point s, t;
 
 Line(const Point &s, const Point &t) : s(s), t(t) {}
 
 inline Point intersect(const Line &l) const {
 return s + (t - s) * (((s - l.s) * (l.t - l.s)) / ((l.t - l.s) * (t - s)));
 }
 
 inline Line getPerpendicularBisector() {
 return Line(Point((s.x + t.x) / 2, (s.y + t.y) / 2),
 Point((s.x + t.x) / 2 + s.y - t.y, (s.y + t.y) / 2 + t.x - s.x));
 }
 };
 
 inline Point getCenter(const Point &a, const Point &b, const Point &c) {
 return Line(a, b).getPerpendicularBisector().
 intersect(Line(a, c).getPerpendicularBisector());
 }
 
 inline void solve() {
 using namespace IO;
 srand(495);
 register int n;
 read(n);
 for (register int i = 1; i <= n; i++) p[i].read();
 std::random_shuffle(p + 1, p + n + 1);
 Circle c(p[1], 0);
 for (register int i = 1; i <= n; i++) {
 if (c.o.dis(p[i]) - c.r < EPS) continue;
 c = Circle((p[1] + p[i]) / 2, p[1].dis(p[i]) / 2);
 for (register int j = 2; j < i; j++) {
 if (c.o.dis(p[j]) - c.r < EPS) continue;
 c = Circle((p[i] + p[j]) / 2, p[i].dis(p[j]) / 2);
 for (register int k = 1; k < j; k++) {
 if (c.o.dis(p[k]) - c.r < EPS) continue;
 c = Circle(getCenter(p[i], p[j], p[k]), c.r);
 c.r = c.o.dis(p[k]);
 }
 }
 }
 printf("%.5lf\n%.5lf %.5lf\n", c.r, c.o.x, c.o.y);
 }
 }
 
 int main() {
 #ifdef DBG
 freopen("in.in", "r", stdin);
 #endif
 Task::solve();
 return 0;
 }
 
 |