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Cod sursa(job #307994)
#include<iostream>
#include<stdio.h>
#include<vector>
#include<algorithm>
#define ll long long
#define mp make_pair
using namespace std;
ll x,y,nr;
int n,i,j;
typedef pair <ll,ll> p;
vector <p> a,hash;
inline ll cmmdc(ll a,ll b)
{
if(!b) return a;
return cmmdc(b,a%b);
}
inline int cmp(p x,p y)
{
return 1LL*x.first*y.second<1LL*x.second*y.first;
}
int main()
{
freopen("trapez.in","r",stdin);
freopen("trapez.out","w",stdout);
scanf("%d",&n);
for(i=0;i<n;i++)
{
scanf("%lld%lld",&x,&y);
a.push_back(mp(x,y));
}
for(i=0;i<n;i++)
for(j=i+1;j<n;j++)
{
ll m=a[i].first-a[j].first;
ll n=a[i].second-a[j].second;
ll cd=cmmdc(m,n);
hash.push_back(mp(n/cd,m/cd));
}
sort(hash.begin(),hash.end(),cmp);
for(int q=0,DIM=hash.size();q<DIM;q++)
{
int nr1=count(hash.begin(),hash.end(),hash[q]);
nr+=nr1=nr1*(nr1-1)/2;
q+=nr1;
}
printf("%lld\n",nr);
return 0;
}