/** * author: tomo0608 * created: 01.05.2023 18:24:08 **/ #ifdef __LOCAL #define _GLIBCXX_DEBUG #endif #pragma GCC optimize("Ofast") #include #include namespace tomo0608 { typedef long long ll; typedef long double ld; template using V = std::vector; template using VV = V>; template using VVV = V>; typedef std::pair pii; typedef std::pair pll; templatevoid input(T&... a) { (std::cin >> ... >> a); }; #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define LL(...) long long __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; input(__VA_ARGS__) std::istream& operator>>(std::istream& is, atcoder::modint998244353& a) { long long v; is >> v; a = v; return is; } std::ostream& operator<<(std::ostream& os, const atcoder::modint998244353& a) { return os << a.val(); } std::istream& operator>>(std::istream& is, atcoder::modint1000000007& a) { long long v; is >> v; a = v; return is; } std::ostream& operator<<(std::ostream& os, const atcoder::modint1000000007& a) { return os << a.val(); } template std::istream& operator>>(std::istream& is, atcoder::static_modint& a) { long long v; is >> v; a = v; return is; } template std::ostream& operator<<(std::ostream& os, const atcoder::static_modint& a) { return os << a.val(); } template std::istream& operator>>(std::istream& is, atcoder::dynamic_modint& a) { long long v; is >> v; a = v; return is; } template std::ostream& operator<<(std::ostream& os, const atcoder::dynamic_modint& a) { return os << a.val(); } template std::istream& operator>>(std::istream& is, std::pair& p) { is >> p.first >> p.second; return is; } template std::ostream& operator<<(std::ostream& os, const std::pair& p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template std::istream& operator>>(std::istream& is, std::vector& v) { for (auto& e : v) is >> e; return is; } template std::ostream& operator<<(std::ostream& os, const std::vector& v) { for (auto& e : v) os << e << ' '; return os; } template std::ostream& operator << (std::ostream& os, std::set& set_var) { os << "{"; for (auto itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr;++itr;if (itr != set_var.end()) os << ", ";itr--; }os << "}";return os; } template std::ostream& operator<<(std::ostream& os, std::map& map_var) { os << "{";for (auto itr = map_var.begin(); itr != map_var.end(); itr++) { os << *itr;itr++;if (itr != map_var.end()) os << ", ";itr--; }os << "}";return os; } void print() { std::cout << '\n'; } templatevoid print(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n'; } void drop() { std::cout << '\n';exit(0); } templatevoid drop(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n';exit(0); } #ifdef __LOCAL void debug_out() { std::cerr << std::endl; } template < class Head, class... Tail> void debug_out(Head H, Tail... T) { std::cerr << ' ' << H; debug_out(T...); } #define debug(...) std::cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) std::cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << std::endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif #define rep1(a) for(long long i = 0; i < a; i++) #define rep2(i, a) for(long long i = 0; i < a; i++) #define rep3(i, a, b) for(long long i = a; i < b; i++) #define rep4(i, a, b, c) for(long long i = a; i < b; i += c) #define drep1(a) for(long long i = a-1; i >= 0; i--) #define drep2(i, a) for(long long i = a-1; i >= 0; i--) #define drep3(i, a, b) for(long long i = a-1; i >= b; i--) #define drep4(i, a, b, c) for(long long i = a-1; i >= b; i -= c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define drep(...) overload4(__VA_ARGS__, drep4, drep3, drep2, drep1)(__VA_ARGS__) } // namespace tomo0608 int dx[8] = { 1, 0, -1, 0, 1, 1, -1, -1 }; int dy[8] = { 0, 1, 0, -1, 1, -1, -1, 1 }; #define endl '\n' namespace tomo0608 { #define all(x) x.begin(),x.end() template T SUM(const S& v) { return accumulate(all(v), T(0)); } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()) template void zip(std::vector& x) { std::vector y = x;UNIQUE(y);for (int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); } } template using priority_queue_rev = std::priority_queue, std::greater>; template inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return 1; } return 0; } template inline int count_between(std::vector& a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) #define bit(n, k) ((n >> k) & 1) /*nのk bit目*/ int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int lowbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); } template T mypow(T x, long long n) { T ret = 1;while (n > 0) { if (n & 1)(ret *= x);(x *= x);n >>= 1; }return ret; } } //typedef atcoder::modint1000000007 mint; typedef atcoder::modint998244353 mint; using namespace atcoder; using namespace std; using namespace tomo0608; #include const ll inf = 1e18; struct Point { // R^2上の点 long long x, y; Point(long long x = 0, long long y = 0) : x(x), y(y) {} Point operator+(const Point& p) { return { x + p.x, y + p.y }; } Point operator-(const Point& p) { return { x - p.x, y - p.y }; } Point operator*(const long long k) { return { k * x, k * y }; } Point operator/(const long long k) { assert(k); return { x / k, y / k }; } long long operator*(const Point& p) { return x * p.x + y * p.y; } long long operator^(const Point& p) { return x * p.y - y * p.x; } bool operator<(const Point& p) { if (x < p.x)return true; if (x > p.x)return false; if (y < p.y)return true; return false; } double getangle() { // 偏角を度数で求める(0 <= angle <= 360) if (y >= 0.0) { double I = (long double)x / sqrt((*this) * (*this)); double angle = acos(I) * 180.0 / 3.14159265358979; return angle; } else { double I = (long double)x / sqrt((*this) * (*this)); double angle = acos(I) * 180.0 / 3.14159265358979; return 360.0 - angle; } } }; std::istream& operator>>(std::istream& is, Point& p) { is >> p.x >> p.y; return is; } std::ostream& operator<<(std::ostream& os, const Point& p) { os << p.x << ' ' << p.y; return os; } #define POINT(...) Point __VA_ARGS__; input(__VA_ARGS__) typedef std::vector Polygon; ll ip(Point v, Point w) { return v.x * w.x + v.y * w.y; } ll up(Point v, Point w) { return v.x * w.y - v.y * w.x; } void solve() { LL(n); V points(n); rep(i, n)cin >> points[i]; ll ans = 0; rep(i, n)rep(j, i + 1, n) { Point v = points[j] - points[i]; ll max_sq = -inf, min_sq = inf; rep(k, n) { if (k == i || k == j)continue; Point w = points[k] - points[i]; chmax(max_sq, up(v, w)); chmin(min_sq, up(v, w)); } chmax(ans, max_sq - min_sq); } print(ans); } int main() { std::cin.tie(0); std::ios_base::sync_with_stdio(false); std::cout << std::setprecision(20); int codeforces = 1; //cin >> codeforces; while (codeforces--) { solve(); } return 0; }