Cod sursa(job #2929895)

Utilizator Chiri_Robert Chiributa Chiri_ Data 27 octombrie 2022 10:23:10
Problema Aria Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.82 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("aria.in");
ofstream fout("aria.out");

typedef pair<float, float> punct;

int n;
punct a[100000];
float rez1, rez2;

float det(punct a, punct b) {
    return (a.first-b.first)*(b.second) - (a.second-b.second)*b.first;
}

float arieTri(punct a, punct b) {
    return 0.5*abs(det(a, b));
}

float arieTrap(punct a, punct b) {
    return (a.second+b.second)*(b.first-a.first);
}

int main()
{
    fin >> n;
    for (int i = 0; i < n; i++) {
        fin >> a[i].first >> a[i].second;

        if (i) {
            rez1 += arieTrap(a[i-1], a[i]);
            rez2 += arieTri(a[i-1], a[i]);
        }
    }
    rez1 = 0.5*abs(rez1 + arieTrap(a[n-1], a[0]));
    rez2 = abs(rez2 + arieTri(a[n-1], a[0]));
    fout << rez1;
    return 0;
}