#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define _USE_MATH_DEFINES #include #include using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; typedef pair pld; typedef pair pdl; typedef pair pic; typedef priority_queue, greater> pllgreaterq; typedef priority_queue, vector>, greater>> plpllgreaterq; #define bit(x,v) ((ll)x << v) const ll INF = 1000000007; const int MAX = 310000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } int pr[200010]; int lank[200010]; void uini(int n) { for (size_t i = 0; i <= n; i++) { pr[i] = i; } } int parent(int x) { if (x == pr[x]) return x; return pr[x] = parent(pr[x]); } int same(int x, int y) { return parent(x) == parent(y); } bool unit(int x, int y) { int px = parent(x); int py = parent(y); if (px == py) return false; if (lank[px] < lank[py]) { pr[py] = px; lank[px] += lank[py] + 1; } else { pr[px] = py; lank[py] += lank[px] + 1; } return true; } ll bit[200010]; int max_n = 200000; int pm = 0; void add(int x) { while (max_n >= x) { bit[x]++; x += x & -x; } } void sub(int x) { while (max_n >= x) { bit[x]--; x += x & -x; } } ll merge(ll* a, int left, int mid, int right) { ll n1 = mid - left; ll n2 = right - mid; vector L(n1 + 1); vector R(n2 + 1); for (size_t i = 0; i < n1; i++) { L[i] = a[left + i]; } for (size_t i = 0; i < n2; i++) { R[i] = a[mid + i]; } L[n1] = INF; R[n2] = INF; ll i = 0; ll j = 0; ll r = 0; for (size_t k = left; k < right; k++) { if (L[i] <= R[j]) { a[k] = L[i]; i++; } else { a[k] = R[j]; r += n1 - i; j++; } } return r; } ll merge2(pair* a, int left, int mid, int right) { ll n1 = mid - left; ll n2 = right - mid; vector> L(n1 + 1); vector> R(n2 + 1); for (size_t i = 0; i < n1; i++) { L[i] = a[left + i]; } for (size_t i = 0; i < n2; i++) { R[i] = a[mid + i]; } L[n1] = make_pair(INF, ' '); R[n2] = make_pair(INF, ' '); ll i = 0; ll j = 0; ll r = 0; for (size_t k = left; k < right; k++) { if (L[i].first <= R[j].first) { a[k] = L[i]; i++; } else { a[k] = R[j]; r += n1 - i; j++; } } return r; } ll mergeSort2(pair* a, int left, int right) { ll res = 0; if (left + 1 < right) { int mid = (left + right) / 2; res = mergeSort2(a, left, mid); res += mergeSort2(a, mid, right); res += merge2(a, left, mid, right); } return res; } ll mergeSort(ll* a, int left, int right) { ll res = 0; if (left + 1 < right) { int mid = (left + right) / 2; res = mergeSort(a, left, mid); res += mergeSort(a, mid, right); res += merge(a, left, mid, right); } return res; } int partition(pair* a, int p, int r) { pair x = a[r]; int i = p - 1; for (size_t j = p; j < r; j++) { if (a[j].first <= x.first) { i++; swap(a[i], a[j]); } } swap(a[i + 1], a[r]); return i + 1; } void quick(pair* a, int p, int r) { if (p < r) { int q = partition(a, p, r); quick(a, p, q - 1); quick(a, q + 1, r); } } ll n; int ci = 0; ll P[1000010]; struct Node { int key; int priority; Node* parent, * left, * right; Node(int key, int priority); Node() {} }; Node NIL; Node::Node(int key, int priority) : key(key), priority(priority) { left = &NIL; right = &NIL; } Node* root = new Node(); void cenrec(Node* k) { if (k->key == NIL.key) return; cenrec(k->left); cout << " " << k->key; cenrec(k->right); } void fastrec(Node* k) { if (k->key == NIL.key) return; cout << " " << k->key; fastrec(k->left); fastrec(k->right); } void insert(Node* v) { Node* y = &NIL; Node* x = root; while (x->key != NIL.key) { y = x; if (v->key < x->key) { x = x->left; } else { x = x->right; } } v->parent = y; if (y->key == NIL.key) { root = v; } else if (v->key < y->key) { y->left = v; } else { y->right = v; } } Node* find(Node* k, ll v) { if (k->key == NIL.key) return &NIL; if (k->key == v) return k; if (v < k->key) return find(k->left, v); return find(k->right, v); } void delp12(Node* x) { if (x->key == NIL.key) return; Node* l = x->left; Node* r = x->right; Node* pr = x->parent; if (l->key == NIL.key && r->key == NIL.key) { if (pr->left == x) { pr->left = &NIL; } else pr->right = &NIL; } else if (l->key != NIL.key) { if (pr->left == x) { pr->left = l; } else pr->right = l; l->parent = pr; } else if (r->key != NIL.key) { if (pr->left == x) { pr->left = r; } else pr->right = r; r->parent = pr; } } Node* get_next(Node* k) { if (k->key == NIL.key) return &NIL; Node* res = get_next(k->left); if (res->key != NIL.key) return res; return k; } void del(Node* x) { if (x->key == NIL.key) return; Node* l = x->left; Node* r = x->right; Node* pr = x->parent; if (l->key != NIL.key && r->key != NIL.key) { Node* nex = get_next(r); x->key = nex->key; delp12(nex); } else { delp12(x); } } Node* rightRotate(Node* t) { Node* s = t->left; t->left = s->right; s->right = t; return s; } Node* leftRotate(Node* t) { Node* s = t->right; t->right = s->left; s->left = t; return s; } Node* _insert(Node* t, int key, int priority) { if (t->key == NIL.key) { return new Node(key, priority); } if (key == t->key) { return t; } if (key < t->key) { t->left = _insert(t->left, key, priority); if (t->priority < t->left->priority) { t = rightRotate(t); } } else { t->right = _insert(t->right, key, priority); if (t->priority < t->right->priority) { t = leftRotate(t); } } return t; } Node* delete1(Node* t, int key); Node* _delete(Node* t, int key) { if (t->left->key == NIL.key && t->right->key == NIL.key) { return &NIL; } else if (t->left->key == NIL.key) { t = leftRotate(t); } else if (t->right->key == NIL.key) { t = rightRotate(t); } else { if (t->left->priority > t->right->priority) { t = rightRotate(t); } else t = leftRotate(t); } return delete1(t, key); } Node* delete1(Node* t, int key) { if (t->key == NIL.key) { return &NIL; } if (key < t->key) { t->left = delete1(t->left, key); } else if (key > t->key) { t->right = delete1(t->right, key); } else return _delete(t, key); return t; } int H; int left(int i) { return i * 2 + 1; } int right(int i) { return i * 2 + 2; } ll heap[2000010]; void maxHeapify(int i) { int l = left(i); int r = right(i); int largest = 0; if (l < H && heap[l] > heap[i]) largest = l; else largest = i; if (r < H && heap[r] > heap[largest]) largest = r; if (largest != i) { swap(heap[i], heap[largest]); maxHeapify(largest); } } int pare(int i) { return (i - 1) / 2; } void raise(int i) { int l = pare(i); if (l < 0) return; if (heap[l] < heap[i]) { swap(heap[i], heap[l]); raise(l); } } void minHeapify(int i) { int l = left(i); int r = right(i); int minimam = 0; if (l < H && heap[l] < heap[i]) minimam = l; else minimam = i; if (r < H && heap[r] < heap[minimam]) minimam = r; if (minimam != i) { swap(heap[i], heap[minimam]); minHeapify(minimam); } } void buildMaxHeap() { for (int i = H / 2; i >= 0; i--) { maxHeapify(i); } } int dx[] = { -1,0,1,0 }; int dy[] = { 0,-1,0,1 }; std::vector find_all(const std::string str, const std::string subStr) { std::vector result; int subStrSize = subStr.size(); int pos = str.find(subStr); while (pos != std::string::npos) { result.push_back(pos); pos = str.find(subStr, pos + 1); } return result; } //ll memo[100010]; //ll next[100010]; //ll dm[100010]; //int f[100010]; //ll rec(int x) { // // if (~memo[x]) return memo[x]; // if (x == n) { // dm[n] = 1; // return 1; // } // ll *res = &memo[x]; // *res = 0; // set st; // st.insert(f[x]); // for (int i = x + 1; i <= n; i++) // { // if (~memo[i]) { // *res += memo[i] + 1; // *res %= INF; // break; // } // // *res += rec(i); // *res %= INF; // if (st.find(f[i]) != st.end()) {break; } // st.insert(f[i]); // } // // return *res; //} #define bit(x,v) ((ll)x << v) class BIT { static const int MAX_N = 200010; public: BIT() { memset(bit, 0, sizeof(bit)); } int bit[MAX_N + 1], n; int sum(int i) { int s = 0; while (i > 0) { s += bit[i]; i -= i & -i; } return s; } void add(int i, int x) { while (i <= n) { bit[i] += x; i += i & -i; } } void clear() { memset(bit, 0, sizeof(bit)); } int a[MAX_N]; void bable_swap_count() { ll ans = 0; for (size_t j = 0; j < n; j++) { ans += j - sum(a[j]); add(a[j], 1); } printf("%lld\n", ans); } int search(int s, int x) { ll half = (s + x) / 2; ll sh = sum(x); ll sl = sum(half); ll st = sum(s); if (sh - sl == 0) { return x; } if (sh - sl < x - half) { return search(half, x); } if (sl - st == 0) { return half; } if (sl - st < half - s) { return search(s, half); } return -1; } int lankSearch(int lank) { return lankSearch(lank, 0, MAX_N); } int lankSearch(int lank, int s, int t) { ll half = (s + t) / 2; ll v = sum(half); ll v1 = sum(t); ll v2 = sum(s); if (lank == 1) { if (s + 1 >= t) return t; else if (v - v2 > 0) { return lankSearch(lank, s, half); } else return lankSearch(lank, half, t); } if ((v - v2) < lank) { return lankSearch(lank - (v - v2), half, t); } if ((v - v2) >= lank) { return lankSearch(lank, s, half); } return -1; } }; //void test() { // double m; // cin >> m; // //p11(15, m); // double b = 5854; // double ba = 4224.96; // double bb = (ba / 12); // double ret = 222; // double mon = 23.472; // cout << fixed << endl; // // for (double i = 5; i <= 15; i++) // { // double p = b * i; // double u = ba * i; // double r = ret * (15 - i) - (bb * (15 - i)); // double m = mon * i; // cout << i << " mon:" << m << " ret:" << p + r << " pay:" << u << " gross" << p + r - u << " %:" << (p + r) / u << endl; // } // //double reib = 21542.8; // //double reiba = 17358.264; // double reib = 8298; // double reiba = 5599.44; // double reim = 46.662; // double ret2 = 233.1; // cout << "reti" << endl; // for (double i = 0; i <= 5; i++) // { // double p = reib * i; // double u = reiba * i; // double m = reim * i; // double r = -(ret2 * (5 - i)); // cout << i << " mon:" << m << " ret:" << p + r << " u:" << u << " gross:" << p + r - u << " %" << (p + r) / u << endl; // } // cout << "resutl " << endl; // for (double i = 5; i <= 15; i++) // { // double p = b * i; // double u = ba * i; // double r = ret * (15 - i) - (bb * (15 - i)); // double m = mon * i; // for (double j = 0; j <= 5; j++) // { // double p2 = reib * j; // double u2 = reiba * j; // double m2 = reim * j; // double r2 = -(ret2 * (5 - j)); // if (m + m2 > (585.39 - 230)) continue; // cout << (int)i << " " << (int)j << " mon:" << m + m2 << " ret:" << p + p2; // cout << " u:" << u + u2 << " gross:" << (p + r - u) + (p2 + r2 - u2); // cout << " %" << ((p + r) + (p2 + r2)) / (u + u2) << endl; // } // cout << endl; // } //} vector getp(ll n) { vector res; ll a = 2; if (n % 2 == 0) { res.push_back(2); while (n % 2 == 0)n /= 2; } for (ll i = 3; i * i <= n; i += 2) { if (n % i == 0) { res.push_back(i); while (n % i == 0)n /= i; } } if (n != 1) res.push_back(n); return res; } vector getDivisors(ll n) { vector res; ll a = 2; res.push_back(1); for (ll i = 2; i * i <= n; i++) { if (n % i == 0) { res.push_back(i); if(n / i != i) res.push_back(n / i); } } return res; } const int hi = 2000000; int tb[hi]; void elast() { fill(tb, tb + hi, 1); for (int i = 2; i * i < hi; i++) { if (tb[i] == 0) continue; int ti = i * 2; while (ti < hi) { tb[ti] = 0; ti += i; } } } pii check(int x1, int y1, int x2, int y2) { if (x1 > x2) { swap(x1, x2); swap(y1, y2); } if (x2 == x1 && x2 == 0) return make_pair(0, 0); bool yok = (y1 >= 0 && 0 >= y2) || (y2 >= 0 && 0 >= y1); if (x2 == x1) { if (yok) return make_pair(0, x2 > 0 ? 1 : -1); } // y = ax + b; // a = y / x double a = double(y2 - y1) / double(x2 - x1); // b = y - ax double b = y2 - a * x2; double judge = y2 * double(x2 - x1) - double(y2 - y1) * x2; if (judge == 0) { return make_pair(0, 0); } bool ok = (x2 <= 0 && 0 <= x1) || (x1 <= 0 && 0 <= x2); pii res; if (b > 0) { if (ok) { res.first = 1; } } else { if (ok) res.first = -1; } // 0 = ax + b; // -b = ax // -(b/a)= x double xp = -(b / a); if (xp > 0) { if (yok) res.second = 1; } else { if (yok) res.second = -1; } return res; } void solv() { cin >> n; int x[4010], y[4010]; for (size_t i = 0; i < n; i++) { cin >> x[i] >> y[i]; } map mp; for (size_t i = 0; i < n; i++) { for (size_t j = i + 1; j < n; j++) { mp[make_pair(i, j)] = check(x[i], y[i], x[j], y[j]); mp[make_pair(j, i)] = mp[make_pair(i, j)]; } } vector uy; vector by; for (size_t i = 0; i < n; i++) { if (y[i] > 0) uy.push_back(i); else by.push_back(i); } int res = 0; for (size_t i = 0; i < uy.size(); i++) { for (size_t j = i + 1; j < uy.size(); j++) { for (size_t k = 0; k < by.size(); k++) { pii p1 = mp[make_pair(uy[i], uy[j])]; pii p2 = mp[make_pair(uy[i], by[k])]; pii p3 = mp[make_pair(uy[j], by[k])]; int u = 0; if (p1.first < 0 || p2.first < 0 || p3.first < 0) { u++; } if (p1.first > 0 || p2.first > 0 || p3.first > 0) { u++; } if (p1.second < 0 || p2.second < 0 || p3.second < 0)u++; if (p1.second > 0 || p2.second > 0 || p3.second > 0)u++; if (u==4)res++; } } } for (size_t i = 0; i < by.size(); i++) { for (size_t j = i + 1; j < by.size(); j++) { for (size_t k = 0; k < uy.size(); k++) { pii p1 = mp[make_pair(by[i], by[j])]; pii p2 = mp[make_pair(by[i], uy[k])]; pii p3 = mp[make_pair(by[j], uy[k])]; int u = 0; if (p1.first < 0 || p2.first < 0 || p3.first < 0) { u++; } if (p1.first > 0 || p2.first > 0 || p3.first > 0) { u++; } if (p1.second < 0 || p2.second < 0 || p3.second < 0)u++; if (p1.second > 0 || p2.second > 0 || p3.second > 0)u++; if (u == 4) res++; } } } cout << res << endl; } int main() { //COMinit(); solv(); return 0; }