#include using namespace std; #define ALL(x) begin(x),end(x) #define rep(i,n) for(int i=0;i<(n);i++) #define debug(v) cout<<#v<<":";for(auto x:v){cout<bool chmax(T &a,const T &b){if(abool chmin(T &a,const T &b){if(b ostream &operator<<(ostream &os,const vector&v){ for(int i=0;i<(int)v.size();i++) os< istream &operator>>(istream &is,vector&v){ for(T &x:v)is>>x; return is; } #line 2 "geometry/base.cpp" namespace geometry { using Real = double; const Real EPS = 1e-8; const Real PI = acos(static_cast< Real >(-1)); enum { OUT, ON, IN }; inline int sign(const Real &r) { return r <= -EPS ? -1 : r >= EPS ? 1 : 0; } inline bool equals(const Real &a, const Real &b) { return sign(a - b) == 0; } } #line 3 "geometry/point.cpp" namespace geometry { using Point = complex< Real >; istream &operator>>(istream &is, Point &p) { Real a, b; is >> a >> b; p = Point(a, b); return is; } ostream &operator<<(ostream &os, const Point &p) { return os << real(p) << " " << imag(p); } Point operator*(const Point &p, const Real &d) { return Point(real(p) * d, imag(p) * d); } // rotate point p counterclockwise by theta rad Point rotate(Real theta, const Point &p) { return Point(cos(theta) * real(p) - sin(theta) * imag(p), sin(theta) * real(p) + cos(theta) * imag(p)); } Real cross(const Point &a, const Point &b) { return real(a) * imag(b) - imag(a) * real(b); } Real dot(const Point &a, const Point &b) { return real(a) * real(b) + imag(a) * imag(b); } bool compare_x(const Point &a, const Point &b) { return equals(real(a), real(b)) ? imag(a) < imag(b) : real(a) < real(b); } bool compare_y(const Point &a, const Point &b) { return equals(imag(a), imag(b)) ? real(a) < real(b) : imag(a) < imag(b); } using Points = vector< Point >; } #line 2 "geometry/polygon.cpp" #line 4 "geometry/polygon.cpp" namespace geometry { using Polygon = vector< Point >; using Polygons = vector< Polygon >; } #line 3 "geometry/area.cpp" namespace geometry { // http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_3_A Real area(const Polygon &p) { int n = (int) p.size(); Real A = 0; for(int i = 0; i < n; ++i) { A += cross(p[i], p[(i + 1) % n]); } return A * 0.5; } } using namespace geometry; signed main(){ int n;cin>>n; Polygon p(n); for(auto &x:p) cin>>x; Real ans=area(p); ans*=2; ans+=0.0001; cout<