#include <bits/stdc++.h>
const int INF = 0x3f3f3f3f;
const long long inf = 0x3f3f3f3f3f3f3f3f;
const int mod = 1e9 + 7;
const int N = 2e4 + 7;
const double eps = 1e-9;
using namespace std;
int cmp(double x) {
  if (fabs(x) < eps) return 0;
  if (x > 0) return 1;
  return -1;
}
inline double sqr(double x) { return x * x; }
struct point {
  double x, y;
  point() {}
  point(double a, double b) : x(a), y(b) {}
  void input() { scanf("%lf%lf", &x, &y); }
  friend point operator+(const point &a, const point &b) {
    return point(a.x + b.x, a.y + b.y);
  }
  friend point operator-(const point &a, const point &b) {
    return point(a.x - b.x, a.y - b.y);
  }
  friend bool operator==(const point &a, const point &b) {
    return cmp(a.x - b.x) == 0 && cmp(a.y - b.y) == 0;
  }
  friend point operator*(const point &a, const double &b) {
    return point(a.x * b, a.y * b);
  }
  friend point operator*(const double &a, const point &b) {
    return point(a * b.x, a * b.y);
  }
  friend point operator/(const point &a, const double &b) {
    return point(a.x / b, a.y / b);
  }
  double norm() { return sqrt(sqr(x) + sqr(y)); }
};
double det(const point &a, const point &b) { return a.x * b.y - a.y * b.x; }
double dot(const point &a, const point &b) { return a.x * b.x + a.y * b.y; }
double dist(const point &a, const point &b) { return (a - b).norm(); }
point rotate_point(const point &a, double A) {
  double tx = a.x, ty = a.y;
  return point(tx * cos(A) - ty * sin(A), tx * sin(A) + ty * cos(A));
}
struct line {
  point a, b;
  line() {}
  line(point x, point y) : a(x), b(y) {}
};
line point_make_line(const point a, point b) { return line(a, b); }
double dis_point_segment(const point p, const point s, const point t) {
  if (cmp(dot(p - s, t - s)) < 0) return (p - s).norm();
  if (cmp(dot(p - t, s - t)) < 0) return (p - t).norm();
  return fabs(det(s - p, t - p) / dist(s, t));
}
double dis_point_line(const point p, const point s, const point t) {
  return fabs(det(t - s, p - s) / dist(s, t));
}
void PointProjLine(const point p, const point s, const point t, point &cp) {
  double r = dot((t - s), (p - s)) / dot(t - s, t - s);
  cp = s + r * (t - s);
}
bool PointOnSegment(point p, point s, point t) {
  return cmp(det(p - s, t - s)) == 0 && cmp(dot(p - s, p - t)) <= 0;
}
bool parallel(line a, line b) { return !cmp(det(a.a - a.b, b.a - b.b)); }
bool line_make_point(line a, line b, point &res) {
  if (parallel(a, b)) return false;
  double s1 = det(a.a - b.a, b.b - b.a);
  double s2 = det(a.b - b.a, b.b - b.a);
  res = (s1 * a.b - s2 * a.a) / (s1 - s2);
  return true;
}
point p[N];
int main() {
  int n;
  cin >> n;
  for (int i = 0; i < n; i++) {
    p[i].input();
  }
  double mn = 1e18;
  for (int i = 0; i < n; i++) {
    mn = min(mn, dis_point_line(p[i], p[(i - 1 + n) % n], p[(i + 1) % n]));
  }
  printf("%.10lf\n", mn / 2);
  return 0;
}
