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Cod sursa(job #983481)
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <fstream>
using namespace std;
const string file = "aria";
const string infile = file + ".in";
const string outfile = file + ".out";
struct Point2D
{
double x;
double y;
};
int N;
vector<Point2D> points;
double Area(Point2D& p1, Point2D& p2, Point2D& p3)
{
double result = 0;
result += p1.x * p2.y + p2.x * p3.y + p3.x * p1.y;
result -= p3.x * p2.y + p2.x * p1.y + p1.x * p3.y;
return result/2;
}
int main()
{
fstream fin(infile.c_str(), ios::in);
fin >> N;
points.resize(N);
for(int i = 0; i < N; i++)
{
Point2D p;
fin >> p.x
>> p.y;
points[i] = p;
}
fin.close();
double sol = 0;
Point2D ref;
ref.x = 0;
ref.y = 0;
for(int i = 0; i < N; i++)
{
sol += Area(ref, points[i], points[(i+1) % N]);
}
fstream fout(outfile.c_str(), ios::out);
fout << sol << "\n";
fout.close();
}