Cod sursa(job #3155844)

Utilizator PsyDuck1914Feraru Rares-Serban PsyDuck1914 Data 9 octombrie 2023 21:03:33
Problema Trapez Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.26 kb
#include <bits/stdc++.h>

using namespace std;

ifstream f ("trapez.in");
ofstream g ("trapez.out");

const int NMAX = 1e3;

vector<pair<int, int>> v, frecv;
int fr[NMAX*NMAX + 5];

int cmmdc(int a, int b){
    while(b){
        int r = a%b;
        a = b;
        b = r;
    }
    return a;
}

void prelucrare(int i, int j){
    
    int x1 = v[i].first;
    int x2 = v[j].first;
    int y1 = v[i].second;
    int y2 = v[j].second;
    
    int trim = cmmdc(x2-x1, y2-y1);

    frecv.push_back({(y2-y1)/trim, (x2-x1)/trim});
}

int main()
{
    int n;
    f >> n;
    f.tie(NULL);
    
    for(int i=1; i<=n; i++){
        int x, y;
        f >> x >> y;
        v.push_back({x, y});
    }
    
    sort(v.begin(), v.end());
    frecv.push_back({2e9+10, 2e9+10});
    
    for(int i=0; i<n-1; i++)
        for(int j=i+1; j<n; j++){
            prelucrare(i, j);
        }
    
    int cnt = 0;
    sort(frecv.begin(), frecv.end());
    
    for(int i=1; i<frecv.size(); i++)
        if(frecv[i].first == frecv[i-1].first and frecv[i-1].second == frecv[i].second)
            fr[cnt] ++;
        else{
            cnt ++;
            fr[cnt] ++;
        }
    
    cnt = 0;
    for(int i=1; i<=NMAX*NMAX; i++)
        cnt += fr[i] * (fr[i]-1)/2;
    g << cnt;
     
    
    return 0;
}