#include <bits/stdc++.h>
using namespace std;
using T = int;
using T2 = long long;
using T4 = __int128_t;
const T2 INF = 200;
struct Line { T a, b; T2 c; };
bool operator<(Line m, Line n) {
auto half = [&](Line m) {
return m.b < 0 || m.b == 0 && m.a < 0; };
return make_tuple(half(m), (T2)m.b * n.a, m.c) <
make_tuple(half(n), (T2)m.a * n.b, n.c);
}
tuple<T4, T4, T2> inter(Line m, Line n) {
T2 d = (T2)m.a * n.b - (T2)m.b * n.a;
// assert(d);
T4 x = (T4)m.c * n.b - (T4)m.b * n.c;
T4 y = (T4)m.a * n.c - (T4)m.c * n.a;
if (d < 0) x = -x, y = -y, d = -d;
return {x, y, d};
}
ostream& operator<<(ostream& out, Line l) {
out << "(" << l.a << " * x + " << l.b << " * y <= " << l.c << ")";
return out;
}
struct HalfplaneSet : set<Line> {
HalfplaneSet() {
insert({+1, 0, INF}); insert({0, +1, INF});
insert({-1, 0, INF}); insert({0, -1, INF});
};
auto prv(auto it) { return --(it == begin() ? end() : it); }
auto nxt(auto it) { return (++it == end() ? begin() : it); }
bool bad(auto it) {
auto l = *it, pl = *prv(it), nl = *nxt(it);
T2 det = (T2)pl.a * nl.b - (T2)pl.b * nl.a;
T4 x, y; T2 d; tie(x, y, d) = inter(pl, nl);
//auto [x, y, d] = inter(pl, nl);
bool sat = l.a * x + l.b * y <= l.c * d;
if (det < 0 && !sat) {
/*
cerr << "UNSAT: " << *it << endl;
cerr << " prv: " << *prv(it) << endl;
cerr << " nxt: " << *nxt(it) << endl;
cerr << " intersection: " << 1.0 * x / d << " " << 1.0 * y / d << endl;
cerr << " det: " << det << " satisfies: " << sat << endl;*/
clear();
}
/*
if (det >= 0 && sat) {
cerr << "bad: " << *it << endl;
cerr << " prv: " << *prv(it) << endl;
cerr << " nxt: " << *nxt(it) << endl;
cerr << " intersection: " << 1.0 * x / d << " " << 1.0 * y / d << endl;
cerr << " det: " << det << " satisfies: " << sat << endl;
}*/
return det >= 0 && sat;
};
void Cut(T a, T b, T2 c) { // add ax + by <= c
if (empty()) return;
auto it = insert({a, b, c}).first;
//cerr << "cut: " << *it << endl;
if (bad(it)) erase(it);
while (size() > 2) {
auto nit = nxt(it);
if (bad(nit)) erase(nit);
else break;
}
while (size() > 2) {
auto pit = prv(it);
if (bad(pit)) erase(pit);
else break;
}
if (size() <= 2) clear();
//cerr << " => " << size() << endl;
}
double Maximize(T a, T b) { // max ax + by
if (empty()) return -1/0.;
auto it = lower_bound({-b, a});
if (it == end()) it = begin();
T4 x, y; T2 d; tie(x, y, d) = inter(*prv(it), *it);
//auto [x, y, d] = inter(*prv(it), *it);
return (1.0 * a * x + 1.0 * b * y) / d;
}
double Area() {
if (empty()) return 0.;
double total = 0.;
for (auto it = begin(); it != end(); ++it) {
T4 x1, x2, y1, y2; T2 d1, d2;
tie(x1, y1, d1) = inter(*prv(it), *it);
tie(x2, y2, d2) = inter(*it, *nxt(it));
//auto [x1, y1, d1] = inter(*prv(it), *it);
//auto [x2, y2, d2] = inter(*it, *nxt(it));
total += (1.0 * x1 * y2 - 1.0 * x2 * y1) / d1 / d2;
}
return total * 0.5;
}
};
int main() {
ifstream cin("camera.in");
ofstream cout("camera.out");
int n; cin >> n;
vector<T> x(n), y(n);
for (int i = 0; i < n; ++i)
cin >> x[i] >> y[i];
double ans = 0;
for (int rev = 0; rev < 2; ++rev) {
HalfplaneSet HS;
for (int j = n - 1, i = 0; i < n; j = i++) {
T a = y[i] - y[j], b = x[j] - x[i];
T2 c = (T2)a * x[i] + (T2)b * y[i];
HS.Cut(a, b, c);
}
/*
if (HS.size()) {
cerr << "FINAL\n";
for (auto x : HS) cerr << x << "\n";
}*/
ans = max(ans, HS.Area());
reverse(x.begin(), x.end());
reverse(y.begin(), y.end());
}
cout << fixed << setprecision(2) << ans << endl;
return 0;
}