#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } ll my_gcd(ll a, ll b){ ll ret = 0; if (a < b){ swap(a, b); } if (b == 0){ ret = a; } else{ ret = my_gcd(b, a % b); } return ret; } int main(){ ll N; cin >> N; vl X(N); vl Y(N); rep(i,N){ cin >> X[i] >> Y[i]; } vector pos(N, false); for (ll i = 0; i < N; i++){ map mp; vector vec(N); for (ll j = 0; j < N; j++){ if (i == j) continue; ll dx = X[j] - X[i]; ll dy = Y[j] - Y[i]; if (dx == 0) dy = dy / abs(dy); else if (dy == 0) dx = dx / abs(dx); else{ ll g = my_gcd(abs(dx), abs(dy)); dx /= g; dy /= g; } vec[j] = pll(dx, dy); mp[pll(dx, dy)]++; } //debug(vec); for (ll j = 0; j < N; j++){ if (i == j) continue; pll p = vec[j]; if (mp[pll(p.first * -1, p.second * -1)] >= 1){ pos[j] = true; } } } ll ans = 0; for (ll i = 0; i < N; i++){ if (pos[i]) ans++; } cout << ans << endl; }