#include <bits/stdc++.h>
using namespace std;
double PI = acos(-1);
struct point {
  long long x, y;
  point(long long x = 0, long long y = 0) {
    this->x = x;
    this->y = y;
  }
  bool operator==(point& p) { return p.x == x && p.y == y; }
} a[100010], origin;
struct vecto {
  long long x, y;
  vecto(long long x = 0, long long y = 0) {
    this->x = x;
    this->y = y;
  }
};
vecto toVec(point a, point b) { return vecto(b.x - a.x, b.y - a.y); }
long long crossProduct(vecto a, vecto b) { return a.x * b.y - a.y * b.x; }
long long dotProduct(vecto a, vecto b) { return a.x * b.x + a.y * b.y; }
long long dist(point a, point b) {
  return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}
int main() {
  ios::sync_with_stdio(0);
  int n;
  cin >> n;
  for (int i = (0); i <= (n - 1); i++) cin >> a[i].x >> a[i].y;
  double res = 1e15;
  for (int i = (0); i <= (n - 1); i++) {
    int prev = (i - 1 + n) % n;
    int next = (i + 1) % n;
    if (dotProduct(toVec(a[prev], a[next]), toVec(a[next], a[i])) >= 0)
      res = min(res, sqrt(dist(a[i], a[next])));
    else if (dotProduct(toVec(a[next], a[prev]), toVec(a[prev], a[i])) >= 0)
      res = min(res, sqrt(dist(a[i], a[prev])));
    else
      res =
          min(res, crossProduct(toVec(a[prev], a[next]), toVec(a[prev], a[i])) /
                       sqrt(dist(a[prev], a[next])));
  }
  cout << fixed << setprecision(9) << res / 2;
  return 0;
}
