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Cod sursa(job #995196)
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <fstream>
using namespace std;
const string file = "trapez";
const string infile = file + ".in";
const string outfile = file + ".out";
const int INF = 0x3f3f3f3f;
struct Point2D
{
int x;
int y;
};
bool pred(const Point2D& p1, const Point2D& p2)
{
return p1.y * p2.x < p1.x * p2.y;
}
int predComp(const Point2D& p1, const Point2D& p2)
{
return p1.y * p2.x == p1.x * p2.y;
}
int N;
int pX;
int pY;
vector<Point2D> pante;
vector<Point2D> points;
int Sol;
int main()
{
fstream fin(infile.c_str(), ios::in);
fin >> N;
points.resize(N);
pante.reserve(N * N);
for(int i = 0; i < N; i++)
{
fin >> points[i].x;
fin >> points[i].y;
}
fin.close();
for(int i = 0; i < N; i++)
{
for(int j = i + 1; j < N; j++)
{
Point2D p;
p.x = points[i].x - points[j].x;
p.y = points[i].y - points[j].y;
if(p.x == 0)
{
pX++;
continue;
}
if(p.y == 0)
{
pY++;
continue;
}
pante.push_back(p);
}
}
sort(pante.begin(), pante.end(), pred);
int cont = 0;
for(unsigned i = 1; i < pante.size(); i++)
{
if(predComp(pante[i-1], pante[i]))
{
cont++;
}
else
{
Sol += cont * (cont - 1) / 2;
cont = 0;
}
}
Sol += cont * (cont - 1) / 2;
Sol += pX * (pX - 1) / 2;
Sol += pY * (pY - 1) / 2;
fstream fout(outfile.c_str(), ios::out);
fout << Sol << "\n";
fout.close();
}