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Cod sursa(job #903835)
#include <cstdio>
using namespace std;
int n;
double aria,xi,yi,x_old,y_old,x_new,y_new;
int main()
{
freopen("aria.in","r",stdin);
freopen("aria.out","w",stdout);
scanf("%d",&n);
scanf("%lf%lf",&xi,&yi);
x_old=xi;y_old=yi;
for(n--;n;n--)
{
scanf("%lf%lf",&x_new,&y_new);
aria+=(y_new+y_old)*(x_new-x_old)/2;
x_old=x_new;y_old=y_new;
}
x_new=xi;y_new=yi;
aria+=(y_new+y_old)*(x_new-x_old)/2;
if(aria<0)aria=-aria;
printf("%lf",aria);
return 0;
}