Cod sursa(job #2734969)

Utilizator ioana0211Ioana Popa ioana0211 Data 1 aprilie 2021 18:00:58
Problema Trapez Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1 kb
#include <iostream>
#include <fstream>
#include <map>
#include <vector>
#include <algorithm>

using namespace std;
ifstream fin ("trapez.in");
ofstream fout ("trapez.out");
int n;
long long lin[1001], col[1001];
long long rez;
vector<pair<long long, long long>> x;
int cmmdc (int a, int b)
{
    while(b)
    {
        int rest=a%b;
        a=b;
        b=rest;
    }
    return a;
}
int main()
{
    fin>>n;
    for(int i=1; i<=n; i++)
        fin>>lin[i]>>col[i];
    for(int i=1; i<=n; i++)
        for(int j=i+1; j<=n; j++)
        {
            int dlin=lin[j]-lin[i], dcol=col[j]-col[i];
            int CMMDC=cmmdc(dlin, dcol);
            dlin/=CMMDC;
            dcol/=CMMDC;
            x.push_back(make_pair(dlin, dcol));
        }
    sort(x.begin(), x.end());
    int cnt=1;
    for(int i=1; i<x.size(); i++)
    {
        if(x[i]==x[i-1]) cnt++;
        else {
            rez+=(cnt*(cnt-1)/2);
            cnt=1;
        }
    }
   fout<<rez;
    return 0;
}