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Cod sursa(job #908849)
#include <cstdio>
#include <cmath>
const int MAX = 100005;
struct punct {
double x, y;
} vec[MAX];
int N;
double sol;
int main (void) {
freopen ("aria.in", "r", stdin);
freopen ("aria.out", "w", stdout);
scanf ("%d", &N);
for (int i = 0; i < N; ++i)
scanf ("%lf %lf", &vec[i].x, &vec[i].y) == 2;
vec[N] = vec[0];
for (int i = 0; i < N; ++i)
sol += (vec[i].x * vec[i + 1].y - vec[i + 1].x * vec[i].y);
printf ("%lf", fabs (sol / 2.0));
}