#define MOD_TYPE 1 #pragma region Macros #include using namespace std; #if 0 #include #include using Int = boost::multiprecision::cpp_int; using lld = boost::multiprecision::cpp_dec_float_100; #endif #if 1 #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif using ll = long long int; using ld = long double; using pii = pair; using pll = pair; using pld = pair; template using smaller_queue = priority_queue, greater>; constexpr ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353); //constexpr ll MOD = 1; constexpr int INF = (int)1e9 + 10; constexpr ll LINF = (ll)4e18; constexpr double PI = acos(-1.0); constexpr double EPS = 1e-11; constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0}; constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0}; #define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i) #define rep(i, n) REP(i, 0, n) #define REPI(i, m, n) for (int i = m; i < (int)(n); ++i) #define repi(i, n) REPI(i, 0, n) #define MP make_pair #define MT make_tuple #define YES(n) cout << ((n) ? "YES" : "NO") << "\n" #define Yes(n) cout << ((n) ? "Yes" : "No") << "\n" #define possible(n) cout << ((n) ? "possible" : "impossible") << "\n" #define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n" #define Yay(n) cout << ((n) ? "Yay!" : ":(") << "\n" #define all(v) v.begin(), v.end() #define NP(v) next_permutation(all(v)) #define dbg(x) cerr << #x << ":" << x << "\n"; struct io_init { io_init() { cin.tie(0); ios::sync_with_stdio(false); cout << setprecision(30) << setiosflags(ios::fixed); }; } io_init; template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } inline ll CEIL(ll a, ll b) { return (a + b - 1) / b; } template inline void Fill(A (&array)[N], const T &val) { fill((T *)array, (T *)(array + N), val); } template constexpr istream &operator>>(istream &is, pair &p) noexcept { is >> p.first >> p.second; return is; } template constexpr ostream &operator<<(ostream &os, pair &p) noexcept { os << p.first << " " << p.second; return os; } #pragma endregion void validate(int &n, vector &x, vector &y) { assert(cin >> n); assert(1 <= n and n <= 1000); x.resize(n); y.resize(n); rep(i, n) assert(cin >> x[i] >> y[i]); string temp; assert(!(cin >> temp)); for (auto t : x) assert(abs(t) <= 1e8); for (auto t : y) assert(abs(t) <= 1e8); rep(i, n) REP(j, i + 1, n) { assert(x[i] != x[j] or y[i] != y[j]); } vector> d(n, vector(n)); rep(i, n) REP(j, i + 1, n) { d[i][j] = d[j][i] = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); } // どの3つの風船も同時に接触しない rep(i, n) REP(j, i + 1, n) REP(k, j + 1, n) { assert(!(d[i][j] == d[i][k] and d[i][j] <= d[j][k])); assert(!(d[j][i] == d[j][k] and d[j][i] <= d[i][k])); assert(!(d[k][i] == d[k][j] and d[k][i] <= d[i][j])); } } void solve() { int n; vector x, y; validate(n, x, y); vector> v; rep(i, n) REP(j, i + 1, n) { ll d = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); v.push_back({d, i, j}); } sort(all(v)); vector used(n, false); int cnt = 0; for (auto [d, i, j] : v) { if (used[i] or used[j]) continue; if (i == 0) used[j] = true, cnt++; else if (j == 0) used[i] = true, cnt++; else used[i] = used[j] = true; } cout << cnt << "\n"; } int main() { solve(); }