結果
問題 | No.2331 Maximum Quadrilateral |
ユーザー | 👑 seekworser |
提出日時 | 2023-05-28 16:40:36 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 19,980 bytes |
コンパイル時間 | 2,453 ms |
コンパイル使用メモリ | 215,276 KB |
実行使用メモリ | 10,752 KB |
最終ジャッジ日時 | 2024-06-08 09:43:00 |
合計ジャッジ時間 | 39,706 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | TLE | - |
testcase_01 | AC | 1,592 ms
5,248 KB |
testcase_02 | AC | 1,928 ms
5,376 KB |
testcase_03 | AC | 1,937 ms
5,376 KB |
testcase_04 | TLE | - |
testcase_05 | TLE | - |
testcase_06 | TLE | - |
testcase_07 | TLE | - |
testcase_08 | AC | 1,545 ms
5,376 KB |
testcase_09 | AC | 1,426 ms
5,376 KB |
testcase_10 | AC | 1,300 ms
5,376 KB |
testcase_11 | AC | 1,406 ms
5,376 KB |
testcase_12 | AC | 1,283 ms
5,376 KB |
testcase_13 | AC | 1,372 ms
5,376 KB |
testcase_14 | TLE | - |
testcase_15 | AC | 190 ms
5,376 KB |
testcase_16 | AC | 894 ms
5,376 KB |
testcase_17 | AC | 44 ms
5,376 KB |
testcase_18 | AC | 242 ms
5,376 KB |
testcase_19 | AC | 62 ms
5,376 KB |
testcase_20 | TLE | - |
testcase_21 | -- | - |
testcase_22 | -- | - |
testcase_23 | -- | - |
testcase_24 | -- | - |
testcase_25 | -- | - |
testcase_26 | -- | - |
testcase_27 | -- | - |
testcase_28 | -- | - |
testcase_29 | -- | - |
testcase_30 | -- | - |
testcase_31 | -- | - |
testcase_32 | -- | - |
testcase_33 | -- | - |
testcase_34 | -- | - |
testcase_35 | -- | - |
testcase_36 | -- | - |
testcase_37 | -- | - |
testcase_38 | -- | - |
testcase_39 | -- | - |
testcase_40 | -- | - |
testcase_41 | -- | - |
testcase_42 | -- | - |
testcase_43 | -- | - |
testcase_44 | -- | - |
testcase_45 | -- | - |
testcase_46 | -- | - |
ソースコード
// 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<ll>; vector<P> p; rep(i, n) p.emplace_back(x[i], y[i]); repe(e, p) debug(p); ll ans = 0; rep(i, n) rep(j, n) { if (i == j) continue; vl g1; vl g2; rep(k, n) { if (k == i || k == j) continue; if (ccw(p[i], p[j], p[k]) == COUNTER_CLOCKWISE) g1.push_back(abs((p[i]-p[j]).cross(p[k] - p[j]))); else g2.push_back(abs((p[i]-p[j]).cross(p[k] - p[j]))); } sort(all(g1)); sort(all(g2)); debug(g1,g2); if (sz(g1) != 0 && sz(g2)!= 0) { chmax(ans, g1.back() + g2.back()); } if (sz(g1) >= 2) { chmax(ans, g1.back() - g1.front()); } if (sz(g2) >= 2) { chmax(ans, g2.back() - g2.front()); } } print(ans); } #else // line 2 "/Users/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp" #include <bits/stdc++.h> #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<int, int>; using pll = pair<ll, ll>; using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using vl = vector<ll>; using vvl = vector<vl>; using vvvl = vector<vvl>; using vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>; using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>; using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>; using vs = vector<string>; using vvs = vector<vector<string>>; using vvvs = vector<vector<vector<string>>>; template<typename T> vector<vector<T>> vv(int h, int w, T val = T()) { return vector(h, vector<T>(w, val)); } template<typename T> vector<vector<vector<T>>> vvv(int h1, int h2, int h3, T val = T()) { return vector(h1, vector(h2, vector<T>(h3, val))); } template<typename T> vector<vector<vector<vector<T>>>> vvvv(int h1, int h2, int h3, int h4, T val = T()) { return vector(h1, vector(h2, vector(h3, vector<T>(h4, val)))); } template <class T> using priority_queue_min = priority_queue<T, vector<T>, greater<T>>; // 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<typename T> bool eq(const T x, const T y) { return x == y; } template<> bool eq<double>(const double x, const double y) { return abs(x - y) < EPSL; } template<> bool eq<float>(const float x, const float y) { return abs(x - y) < EPS; } template<typename T> bool neq(const T x, const T y) { return !(eq<T>(x, y)); } template<typename T> bool ge(const T x, const T y) { return (eq<T>(x, y) || (x > y)); } template<typename T> bool le(const T x, const T y) { return (eq<T>(x, y) || (x < y)); } template<typename T> bool gt(const T x, const T y) { return !(le<T>(x, y)); } template<typename T> bool lt(const T x, const T y) { return !(ge<T>(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<typename T, size_t N> T max(array<T, N>& a) { return *max_element(all(a)); }; template<typename T, size_t N> T min(array<T, N>& a) { return *min_element(all(a)); }; template<typename T> T max(vector<T>& a) { return *max_element(all(a)); }; template<typename T> T min(vector<T>& a) { return *min_element(all(a)); }; template<typename T> vector<T> vec_slice(const vector<T>& a, int l, int r) { vector<T> rev; rep(i, l, r) rev.push_back(a[i]); return rev; }; template<typename T> T sum(vector<T>& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; }; template<typename T> bool in_range(const T& val, const T& s, const T& t) { return s <= val && val < t; }; template <class T> inline vector<T>& operator--(vector<T>& v) { repe(x, v) --x; return v; } template <class T> inline vector<T>& operator++(vector<T>& 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 <class T> 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 <class T> 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<typename T> struct Point { T x, y; Point(T x, T y) : x(x), y(y) { }; Point() : Point(0, 0) {}; Point<T> &operator+=(const Point<T>& p) { (*this).x += p.x; (*this).y += p.y; return *this; } Point<T> &operator-=(const Point<T>& p) { (*this).x -= p.x; (*this).y -= p.y; return *this; } friend Point<T> operator+(const Point<T>& lhs, const Point<T>& rhs) { return Point(lhs) += rhs; } friend Point<T> operator-(const Point<T>& lhs, const Point<T>& rhs) { return Point(lhs) -= rhs; } Point<T> &operator+() { return *this; } Point<T> &operator-() { (*this).x *= -1; (*this).y *= -1; return *this; } Point<T> &operator*=(const T &x) { (*this).x *= x; (*this).y *= x; return *this; } Point<T> &operator/=(const T &x) { (*this).x /= x; (*this).y /= x; return *this; } friend Point<T> operator*(const Point<T>& lhs, const T& rhs) { return Point(lhs) *= rhs; } friend Point<T> operator/(const Point<T>& lhs, const T& rhs) { return Point(lhs) /= rhs; } friend Point<T> operator*(const T& lhs, const Point<T>& rhs) { return Point(rhs) *= lhs; } friend Point<T> operator/(const T& lhs, const Point<T>& rhs) { return Point(rhs) /= lhs; } friend bool operator==(const Point<T> &lhs, const Point<T> &rhs) { return eq<T>(lhs.x, rhs.x) && eq<T>(lhs.y, rhs.y); } friend bool operator!=(const Point<T> &lhs, const Point<T> &rhs) { return !(lhs == rhs); } friend bool operator>(const Point<T>& lhs, const Point<T>& rhs) { if (eq<T>(lhs.x, rhs.x)) return gt<T>(lhs.y, rhs.y); return gt<T>(lhs.x, rhs.x); } friend bool operator<(const Point<T>& lhs, const Point<T>& rhs) { if (eq<T>(lhs.x, rhs.x)) return lt<T>(lhs.y, rhs.y); return lt<T>(lhs.x, rhs.x); } friend bool operator>=(const Point<T>& lhs, const Point<T>& rhs) { return !(lhs < rhs); } friend bool operator<=(const Point<T>& lhs, const Point<T>& rhs) { return !(lhs > rhs); } T dot(const Point<T> &p) const {return (*this).x * p.x + (*this).y * p.y; }; T cross(const Point<T> &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<T> 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<T>& p) const { return (*this).dot(p); } friend const T operator*(const Point<T>& lhs, const Point<T>& rhs) { return lhs *= rhs; } friend ostream& operator<<(ostream& os, const Point<T> &p) { os << p.x << " " << p.y; return os; } }; template<typename T> T dot(const Point<T> &p1, const Point<T> &p2) { return p1.dot(p2); } template<typename T> T cross(const Point<T> &p1, const Point<T> &p2) { return p1.cross(p2); } template<typename T> T norm(const Point<T> &p) { return p.norm(); } double abs(const Point<double> &p) { return p.abs(); } Point<double> unit_vector(const Point<double> &p) { return p / abs(p); } template<typename T> Point<T> normal_vector(const Point<double> &p) { return Point(-p.y, p.x); } Point<double> rotate(const Point<double> &p, const double &theta) { return Point(p).rotate(theta); } // Line : 直線クラス template<typename T> struct Line { Point<T> s, t; Line() = default; Line(Point<T> s, Point<T> t) : s(s), t(t) {assert(s != t);}; // ax+by+c=0; Line(T a, T b, T c) { assert(neq<T>(a, T(0)) || neq<T>(b, T(0))); if(eq<T>(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<T> vec() const { return (*this).t - (*this).s; } Point<T> normal() const { return normal_vector((*this).vec()); } friend ostream& operator<<(ostream& os, const Line<T> &l) { os << l.s << " " << l.t; return os; } }; // Segment : 線分を表す構造体 template <typename T> struct Segment : Line<T> { Segment() = default; Segment(Point<T> s, Point<T> t) : Line<T>(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<typename T> struct Circle { Point<T> o; T r; Circle() = default; Circle(Point<T> 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<typename T> int ccw(const Line<T> &l, const Point<T> &p, bool strict=false) { T crs = cross(l.vec(), p - l.s); if (lt<T>(crs, 0)) return CLOCKWISE; if (gt<T>(crs, 0)) return COUNTER_CLOCKWISE; T d = dot(l.vec(), p - l.s); if (strict) { if (le<T>(d, 0)) return ONLINE_BACK; if (ge<T>(d, norm(l.vec()))) return ONLINE_FRONT; } else { if (lt<T>(d, 0)) return ONLINE_BACK; if (gt<T>(d, norm(l.vec()))) return ONLINE_FRONT; } return ONSEGMENT; }; template <typename T> int ccw(const Point<T> &p1, const Point<T> &p2, const Point<T> &p3, bool strict=false) { return ccw(Line<T>(p1, p2), p3, strict); }; template <typename T> bool online(const Line<T> &l, const Point<T> &p) { int result = ccw(l, p); return -1 <= result && result <= 1; }; template <typename T> int online(const Point<T> &p1, const Point<T> &p2, const Point<T> &p3) { return online(Line<T>(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<typename T> struct Polygon { vector<Point<T>> vertex; int n; Polygon() = default; Polygon(const vector<Point<T>>& 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<typename T> T area(const Polygon<T>& p) { return p.area(); } template<typename T> bool is_convex(const Polygon<T> &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<typename T> Polygon<T> convex_full(const vector<Point<T>> &p, bool strict=true) { int n = sz(p); if (n < 3) return Polygon<T>(p); vector<Point<T>> sorted(p); sort(all(sorted)); vector<Point<T>> 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<T>(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 <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p); template <class T> inline istream& operator>>(istream& is, vector<T>& v); template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p); template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v); template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp); template <typename T> ostream &operator<<(ostream &os, const set<T> &st); template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st); template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &st); template <typename T> ostream &operator<<(ostream &os, queue<T> q); template <typename T> ostream &operator<<(ostream &os, deque<T> q); template <typename T> ostream &operator<<(ostream &os, stack<T> st); template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq); // 演算子オーバーロード template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; } template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repe(x, v) is >> x; return is; } template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p) { os << p.first << " " << p.second; return os; } template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } return os; } template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp) { for (auto &[key, val] : mp) { os << key << ":" << val << " "; } return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &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 <typename T> ostream &operator<<(ostream &os, const multiset<T> &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 <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &st) { ll cnt = 0; for (auto &e : st) { os << e << (++cnt != (int)st.size() ? " " : ""); } return os; } template <typename T> ostream &operator<<(ostream &os, queue<T> q) { while (q.size()) { os << q.front() << " "; q.pop(); } return os; } template <typename T> ostream &operator<<(ostream &os, deque<T> q) { while (q.size()) { os << q.front() << " "; q.pop_front(); } return os; } template <typename T> ostream &operator<<(ostream &os, stack<T> st) { while (st.size()) { os << st.top() << " "; st.pop(); } return os; } template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq) { while (pq.size()) { os << pq.top() << " "; pq.pop(); } return os; } template <typename T> int print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; return 0; }; template <typename T1, typename... T2> 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 <typename... T> int print(const T &...args) { print_sep_end(" ", "\n", args...); return 0; }; template <typename... T> void flush() { cout << flush; }; template <typename... T> int print_and_flush(const T &...args) { print(args...); flush(); return 0; }; #define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print template <typename T> void input(T &a) { cin >> a; }; template <typename T1, typename... T2> void input(T1&a, T2 &...b) { cin >> a; input(b...); }; #ifdef LOCAL_TEST template <typename T> void debug_func(int i, const T name) { (void)i; (void)name; cerr << endl; } template <typename T1, typename T2, typename... T3> 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 <typename T1, typename T2, typename... T3> 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 <typename... T> void debug_func(T &...) {} template <typename... T> void debug_func(const T &...) {} #endif /** * @brief io.hpp * @docs docs/std/io.md */ // line 36 "answer.cpp" #endif