// line 1 "answer.cpp" #if !__INCLUDE_LEVEL__ #include __FILE__ int main() { ll n; input(n); vl x(n), y(n); rep(i, n) input(x[i], y[i]); // using P = Point; // vector

p; // rep(i, n) p.emplace_back(x[i], y[i]); ll ans = 0; rep(i, n) rep(j, n) { if (i == j) continue; ll g1max = -INFL; ll g1min = INFL; ll g1count = 0; ll g2max = -INFL; ll g2min = INFL; ll g2count = 0; rep(k, n) { if (k == i || k == j) continue; ll x1 = x[i] - x[j]; ll y1 = y[i] - y[j]; ll x2 = x[k] - x[j]; ll y2 = y[k] - y[j]; ll crs = x1 * y2 - y1 * x2; if (crs < 0) { g1count++; chmax(g1max, abs(crs)); chmin(g1min, abs(crs)); } else { g2count++; chmax(g2max, abs(crs)); chmin(g2min, abs(crs)); } } // debug(g1,g2); if (g1count != 0 && g2count != 0) { chmax(ans, g1max + g2max); } if (g1count >= 2) { chmax(ans, g1max- g1min); } if (g2count >= 2) { chmax(ans, g2max - g2min); } } print(ans); } #else // line 2 "/Users/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp" #include #ifndef LOCAL_TEST #pragma GCC target ("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #endif // LOCAL_TEST using namespace std; // 型名の短縮 using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; using vs = vector; using vvs = vector>; using vvvs = vector>>; template vector> vv(int h, int w, T val = T()) { return vector(h, vector(w, val)); } template vector>> vvv(int h1, int h2, int h3, T val = T()) { return vector(h1, vector(h2, vector(h3, val))); } template vector>>> vvvv(int h1, int h2, int h3, int h4, T val = T()) { return vector(h1, vector(h2, vector(h3, vector(h4, val)))); } template using priority_queue_min = priority_queue, greater>; // 定数の定義 constexpr double PI = 3.14159265358979323; constexpr int INF = 100100111; constexpr ll INFL = 3300300300300300491LL; float EPS = 1e-8; double EPSL = 1e-16; template bool eq(const T x, const T y) { return x == y; } template<> bool eq(const double x, const double y) { return abs(x - y) < EPSL; } template<> bool eq(const float x, const float y) { return abs(x - y) < EPS; } template bool neq(const T x, const T y) { return !(eq(x, y)); } template bool ge(const T x, const T y) { return (eq(x, y) || (x > y)); } template bool le(const T x, const T y) { return (eq(x, y) || (x < y)); } template bool gt(const T x, const T y) { return !(le(x, y)); } template bool lt(const T x, const T y) { return !(ge(x, y)); } constexpr int MODINT998244353 = 998244353; constexpr int MODINT1000000007 = 1000000007; // 入出力高速化 struct Nyan { Nyan() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } nyan; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((ll)(x).size()) #define rep1(n) for(ll dummy_iter = 0LL; dummy_iter < n; ++dummy_iter) // 0 から n-1 まで昇順 #define rep2(i, n) for(ll i = 0LL, i##_counter = 0LL; i##_counter < ll(n); ++(i##_counter), (i) = i##_counter) // 0 から n-1 まで昇順 #define rep3(i, s, t) for(ll i = ll(s), i##_counter = ll(s); i##_counter < ll(t); ++(i##_counter), (i) = (i##_counter)) // s から t まで昇順 #define rep4(i, s, t, step) for(ll i##_counter = step > 0 ? ll(s) : -ll(s), i##_end = step > 0 ? ll(t) : -ll(t), i##_step = abs(step), i = ll(s); i##_counter < i##_end; i##_counter += i##_step, i = step > 0 ? i##_counter : -i##_counter) // s から t まで stepずつ #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define repe(a, v) for(auto& a : (v)) // v の全要素(変更可能) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define sdiv(n, m) (((n) - smod(n, m)) / (m)) // 非負div #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 int Yes(bool b=true) { cout << (b ? "Yes\n" : "No\n"); return 0; }; int YES(bool b=true) { cout << (b ? "YES\n" : "NO\n"); return 0; }; int No(bool b=true) {return Yes(!b);}; int NO(bool b=true) {return YES(!b);}; template T max(array& a) { return *max_element(all(a)); }; template T min(array& a) { return *min_element(all(a)); }; template T max(vector& a) { return *max_element(all(a)); }; template T min(vector& a) { return *min_element(all(a)); }; template vector vec_slice(const vector& a, int l, int r) { vector rev; rep(i, l, r) rev.push_back(a[i]); return rev; }; template T sum(vector& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; }; template bool in_range(const T& val, const T& s, const T& t) { return s <= val && val < t; }; template inline vector& operator--(vector& v) { repe(x, v) --x; return v; } template inline vector& operator++(vector& v) { repe(x, v) ++x; return v; } // modでのpow ll powm(ll a, ll n, ll mod=INFL) { ll res = 1; while (n > 0) { if (n & 1) res = (res * a) % mod; if (n > 1) a = (a * a) % mod; n >>= 1; } return res; } // 整数Sqrt ll sqrtll(ll x) { assert(x >= 0); ll rev = sqrt(x); while(rev * rev > x) --rev; while((rev+1) * (rev+1)<=x) ++rev; return rev; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) int digit(ll x, int d=10) { int rev=0; while (x > 0) { rev++; x /= d;}; return rev; } // xのd進数桁数 /** * @brief std.hpp * @docs docs/std/std.md */ // line 3 "/Users/seekworser/.cpp_lib/competitive_library/competitive/geometry/base.hpp" /** * @brief Pointクラス * @details * Point : 2次元空間上の点・ベクトルを扱うためのクラス * absもしくは単位ベクトルを使う場合はdoubleを使い、その他の場合はFracを使う */ template struct Point { T x, y; Point(T x, T y) : x(x), y(y) { }; Point() : Point(0, 0) {}; Point &operator+=(const Point& p) { (*this).x += p.x; (*this).y += p.y; return *this; } Point &operator-=(const Point& p) { (*this).x -= p.x; (*this).y -= p.y; return *this; } friend Point operator+(const Point& lhs, const Point& rhs) { return Point(lhs) += rhs; } friend Point operator-(const Point& lhs, const Point& rhs) { return Point(lhs) -= rhs; } Point &operator+() { return *this; } Point &operator-() { (*this).x *= -1; (*this).y *= -1; return *this; } Point &operator*=(const T &x) { (*this).x *= x; (*this).y *= x; return *this; } Point &operator/=(const T &x) { (*this).x /= x; (*this).y /= x; return *this; } friend Point operator*(const Point& lhs, const T& rhs) { return Point(lhs) *= rhs; } friend Point operator/(const Point& lhs, const T& rhs) { return Point(lhs) /= rhs; } friend Point operator*(const T& lhs, const Point& rhs) { return Point(rhs) *= lhs; } friend Point operator/(const T& lhs, const Point& rhs) { return Point(rhs) /= lhs; } friend bool operator==(const Point &lhs, const Point &rhs) { return eq(lhs.x, rhs.x) && eq(lhs.y, rhs.y); } friend bool operator!=(const Point &lhs, const Point &rhs) { return !(lhs == rhs); } friend bool operator>(const Point& lhs, const Point& rhs) { if (eq(lhs.x, rhs.x)) return gt(lhs.y, rhs.y); return gt(lhs.x, rhs.x); } friend bool operator<(const Point& lhs, const Point& rhs) { if (eq(lhs.x, rhs.x)) return lt(lhs.y, rhs.y); return lt(lhs.x, rhs.x); } friend bool operator>=(const Point& lhs, const Point& rhs) { return !(lhs < rhs); } friend bool operator<=(const Point& lhs, const Point& rhs) { return !(lhs > rhs); } T dot(const Point &p) const {return (*this).x * p.x + (*this).y * p.y; }; T cross(const Point &p) const {return (*this).x * p.y - (*this).y * p.x; }; T norm() const {return (*this).dot(*this); }; T abs() const {return sqrt((*this).norm()); }; T arg() const {return atan((*this).y / (*this).x); }; Point rotate(const double &theta) { (*this).x = cos(theta) * (*this).x - sin(theta) * (*this).y; (*this).y = sin(theta) * (*this).x + cos(theta) * (*this).y; return (*this); }; T operator*=(const Point& p) const { return (*this).dot(p); } friend const T operator*(const Point& lhs, const Point& rhs) { return lhs *= rhs; } friend ostream& operator<<(ostream& os, const Point &p) { os << p.x << " " << p.y; return os; } }; template T dot(const Point &p1, const Point &p2) { return p1.dot(p2); } template T cross(const Point &p1, const Point &p2) { return p1.cross(p2); } template T norm(const Point &p) { return p.norm(); } double abs(const Point &p) { return p.abs(); } Point unit_vector(const Point &p) { return p / abs(p); } template Point normal_vector(const Point &p) { return Point(-p.y, p.x); } Point rotate(const Point &p, const double &theta) { return Point(p).rotate(theta); } // Line : 直線クラス template struct Line { Point s, t; Line() = default; Line(Point s, Point t) : s(s), t(t) {assert(s != t);}; // ax+by+c=0; Line(T a, T b, T c) { assert(neq(a, T(0)) || neq(b, T(0))); if(eq(b, T(0))) { s = Point(-c / a, T(0)); t = Point(-c / a, T(1)); } else { s = Point(T(0), -c / b); t = Point(T(1), (-a-c)/b); } }; Point vec() const { return (*this).t - (*this).s; } Point normal() const { return normal_vector((*this).vec()); } friend ostream& operator<<(ostream& os, const Line &l) { os << l.s << " " << l.t; return os; } }; // Segment : 線分を表す構造体 template struct Segment : Line { Segment() = default; Segment(Point s, Point t) : Line(s, t) {} }; // Circle : 円を表す構造体 // pが中心の位置ベクトル、rは半径 template struct Circle { Point o; T r; Circle() = default; Circle(Point o, double r) : o(o), r(r) {} }; /** * @brief 幾何ライブラリベースクラス * @docs docs/geometry/base.md */ // line 4 "/Users/seekworser/.cpp_lib/competitive_library/competitive/geometry/counter_clockwise.hpp" constexpr int COUNTER_CLOCKWISE = 2; constexpr int CLOCKWISE = -2; constexpr int ONSEGMENT = 0; constexpr int ONLINE_BACK = 1; constexpr int ONLINE_FRONT = -1; template int ccw(const Line &l, const Point &p, bool strict=false) { T crs = cross(l.vec(), p - l.s); if (lt(crs, 0)) return CLOCKWISE; if (gt(crs, 0)) return COUNTER_CLOCKWISE; T d = dot(l.vec(), p - l.s); if (strict) { if (le(d, 0)) return ONLINE_BACK; if (ge(d, norm(l.vec()))) return ONLINE_FRONT; } else { if (lt(d, 0)) return ONLINE_BACK; if (gt(d, norm(l.vec()))) return ONLINE_FRONT; } return ONSEGMENT; }; template int ccw(const Point &p1, const Point &p2, const Point &p3, bool strict=false) { return ccw(Line(p1, p2), p3, strict); }; template bool online(const Line &l, const Point &p) { int result = ccw(l, p); return -1 <= result && result <= 1; }; template int online(const Point &p1, const Point &p2, const Point &p3) { return online(Line(p1, p2), p3); }; /** * @brief counter_clockwise.hpp * @docs docs/geometry/counter_clockwise.md */ // line 4 "/Users/seekworser/.cpp_lib/competitive_library/competitive/geometry/polygon.hpp" // Polygon : 多角形 template struct Polygon { vector> vertex; int n; Polygon() = default; Polygon(const vector>& p) : vertex(p), n(sz(p)) { if ((*this).area() < T(0)) reverse(all((*this).vertex)); } T area() const { T rev(0); rep(i, (*this).n) rev += cross((*this).vertex[i], (*this).vertex[(i + 1) % (*this).n]); return rev / T(2); } }; template T area(const Polygon& p) { return p.area(); } template bool is_convex(const Polygon &p, bool strict=true) { bool rev(true); rep(i, p.n) { int ccwi = ccw(p.vertex[i], p.vertex[(i + 1) % p.n], p.vertex[(i + 2) % p.n]); if (strict && ccwi != COUNTER_CLOCKWISE) rev = false; if (!strict && ccwi == CLOCKWISE) rev = false; } return rev; } template Polygon convex_full(const vector> &p, bool strict=true) { int n = sz(p); if (n < 3) return Polygon(p); vector> sorted(p); sort(all(sorted)); vector> rev; rev.push_back(sorted[0]); rev.push_back(sorted[1]); rep(i, 2, n) { int m = sz(rev); if (strict) { while (m >= 2 && ccw(rev[m-2], rev[m-1], sorted[i]) != CLOCKWISE) { rev.pop_back(); --m; } } else { while (m >= 2 && ccw(rev[m-2], rev[m-1], sorted[i]) == COUNTER_CLOCKWISE) { rev.pop_back(); --m; } } rev.push_back(sorted[i]); } int lower_size = sz(rev); rep(i, n-2, -1, -1) { int m = sz(rev); if (strict) { while (m > lower_size && ccw(rev[m-2], rev[m-1], sorted[i]) != CLOCKWISE) { rev.pop_back(); --m; } } else { while (m > lower_size && ccw(rev[m-2], rev[m-1], sorted[i]) == COUNTER_CLOCKWISE) { rev.pop_back(); --m; } } rev.push_back(sorted[i]); } rev.erase(rev.begin()); return Polygon(rev); } /** * @brief polygon.hpp * @docs docs/geometry/polygon.md */ // line 3 "/Users/seekworser/.cpp_lib/competitive_library/competitive/std/io.hpp" // 演算子オーバーロード(プロトタイプ宣言) template inline istream& operator>>(istream& is, pair& p); template inline istream& operator>>(istream& is, vector& v); template inline ostream& operator<<(ostream& os, const pair& p); template inline ostream& operator<<(ostream& os, const vector& v); template ostream &operator<<(ostream &os, const map &mp); template ostream &operator<<(ostream &os, const set &st); template ostream &operator<<(ostream &os, const multiset &st); template ostream &operator<<(ostream &os, const unordered_set &st); template ostream &operator<<(ostream &os, queue q); template ostream &operator<<(ostream &os, deque q); template ostream &operator<<(ostream &os, stack st); template ostream &operator<<(ostream &os, priority_queue pq); // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repe(x, v) is >> x; return is; } template inline ostream& operator<<(ostream& os, const pair& p) { os << p.first << " " << p.second; return os; } template inline ostream& operator<<(ostream& os, const vector& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } return os; } template ostream &operator<<(ostream &os, const map &mp) { for (auto &[key, val] : mp) { os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const unordered_set &st) { ll cnt = 0; for (auto &e : st) { os << e << (++cnt != (int)st.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, queue q) { while (q.size()) { os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q) { while (q.size()) { os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st) { while (st.size()) { os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq) { while (pq.size()) { os << pq.top() << " "; pq.pop(); } return os; } template int print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; return 0; }; template int print_sep_end(string sep, string end, const T1 &val, const T2 &...remain) { cout << val << sep; print_sep_end(sep, end, remain...); return 0; }; template int print(const T &...args) { print_sep_end(" ", "\n", args...); return 0; }; template void flush() { cout << flush; }; template int print_and_flush(const T &...args) { print(args...); flush(); return 0; }; #define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print template void input(T &a) { cin >> a; }; template void input(T1&a, T2 &...b) { cin >> a; input(b...); }; #ifdef LOCAL_TEST template void debug_func(int i, const T name) { (void)i; (void)name; cerr << endl; } template void debug_func(int i, const T1 &name, const T2 &a, const T3 &...b) { int scope = 0; for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) { cerr << name[i]; if (name[i] == '(' || name[i] == '{') scope++; if (name[i] == ')' || name[i] == '}') scope--; } cerr << ":" << a << " "; debug_func(i + 1, name, b...); } template void debug_func(int i, const T1 &name, T2 &a, T3 &...b) { int scope = 0; for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) { cerr << name[i]; if (name[i] == '(' || name[i] == '{') scope++; if (name[i] == ')' || name[i] == '}') scope--; } cerr << ":" << a << " "; debug_func(i + 1, name, b...); } #endif #ifndef LOCAL_TEST template void debug_func(T &...) {} template void debug_func(const T &...) {} #endif /** * @brief io.hpp * @docs docs/std/io.md */ // line 40 "answer.cpp" #endif