結果
問題 | No.1447 Greedy MtSaka |
ユーザー | nok0 |
提出日時 | 2021-03-31 14:03:48 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 24,122 bytes |
コンパイル時間 | 5,664 ms |
コンパイル使用メモリ | 295,244 KB |
実行使用メモリ | 6,824 KB |
最終ジャッジ日時 | 2024-12-14 18:39:02 |
合計ジャッジ時間 | 6,439 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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 | WA | - |
testcase_01 | WA | - |
testcase_02 | WA | - |
testcase_03 | WA | - |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | WA | - |
testcase_08 | WA | - |
testcase_09 | WA | - |
testcase_10 | WA | - |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
ソースコード
/** * author: nok0 * created: 2021.03.31 13:58:39 **/ #ifdef LOCAL #define _GLIBCXX_DEBUG #endif #include <bits/stdc++.h> using namespace std; #if __has_include(<atcoder/all>) #include <atcoder/all> using namespace atcoder; #endif #pragma region Macros // rep macro #define foa(v, a) for(auto &v : a) #define REPname(a, b, c, d, e, ...) e #define REP(...) REPname(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__) #define REP0(x) for(int i = 0; i < (x); ++i) #define REP1(i, x) for(int i = 0; i < (x); ++i) #define REP2(i, l, r) for(int i = (l); i < (r); ++i) #define REP3(i, l, r, c) for(int i = (l); i < (r); i += (c)) #define REPSname(a, b, c, ...) c #define REPS(...) REPSname(__VA_ARGS__, REPS1, REPS0)(__VA_ARGS__) #define REPS0(x) for(int i = 1; i <= (x); ++i) #define REPS1(i, x) for(int i = 1; i <= (x); ++i) #define RREPname(a, b, c, d, e, ...) e #define RREP(...) RREPname(__VA_ARGS__, RREP3, RREP2, RREP1, RREP0)(__VA_ARGS__) #define RREP0(x) for(int i = (x)-1; i >= 0; --i) #define RREP1(i, x) for(int i = (x)-1; i >= 0; --i) #define RREP2(i, r, l) for(int i = (r)-1; i >= (l); --i) #define RREP3(i, r, l, c) for(int i = (r)-1; i >= (l); i -= (c)) #define RREPSname(a, b, c, ...) c #define RREPS(...) RREPSname(__VA_ARGS__, RREPS1, RREPS0)(__VA_ARGS__) #define RREPS0(x) for(int i = (x); i >= 1; --i) #define RREPS1(i, x) for(int i = (x); i >= 1; --i) // name macro #define pb push_back #define eb emplace_back #define SZ(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define popcnt(x) __builtin_popcountll(x) template <class T = int> using V = std::vector<T>; template <class T = int> using VV = std::vector<std::vector<T>>; template <class T> using pqup = std::priority_queue<T, std::vector<T>, std::greater<T>>; using ll = long long; using ld = long double; using int128 = __int128_t; using pii = std::pair<int, int>; using pll = std::pair<long long, long long>; // input macro template <class T, class U> std::istream &operator>>(std::istream &is, std::pair<T, U> &p) { is >> p.first >> p.second; return is; } template <class T> std::istream &operator>>(std::istream &is, std::vector<T> &v) { for(T &i : v) is >> i; return is; } std::istream &operator>>(std::istream &is, __int128_t &a) { std::string s; is >> s; __int128_t ret = 0; for(int i = 0; i < s.length(); i++) if('0' <= s[i] and s[i] <= '9') ret = 10 * ret + s[i] - '0'; a = ret * (s[0] == '-' ? -1 : 1); return is; } #if __has_include(<atcoder/all>) std::istream &operator>>(std::istream &is, atcoder::modint998244353 &a) { long long v; is >> v; a = v; return is; } std::istream &operator>>(std::istream &is, atcoder::modint1000000007 &a) { long long v; is >> v; a = v; return is; } template <int m> std::istream &operator>>(std::istream &is, atcoder::static_modint<m> &a) { long long v; is >> v; a = v; return is; } template <int m> std::istream &operator>>(std::istream &is, atcoder::dynamic_modint<m> &a) { long long v; is >> v; a = v; return is; } #endif namespace scanner { void scan(int &a) { std::cin >> a; } void scan(long long &a) { std::cin >> a; } void scan(std::string &a) { std::cin >> a; } void scan(char &a) { std::cin >> a; } void scan(char a[]) { std::scanf("%s", a); } void scan(double &a) { std::cin >> a; } void scan(long double &a) { std::cin >> a; } template <class T, class U> void scan(std::pair<T, U> &p) { std::cin >> p; } template <class T> void scan(std::vector<T> &a) { std::cin >> a; } void INPUT() {} template <class Head, class... Tail> void INPUT(Head &head, Tail &... tail) { scan(head); INPUT(tail...); } } // namespace scanner #define VEC(type, name, size) \ std::vector<type> name(size); \ scanner::INPUT(name) #define VVEC(type, name, h, w) \ std::vector<std::vector<type>> name(h, std::vector<type>(w)); \ scanner::INPUT(name) #define INT(...) \ int __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) #define LL(...) \ long long __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) #define STR(...) \ std::string __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) #define DOUBLE(...) \ double __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) #define LD(...) \ long double __VA_ARGS__; \ scanner::INPUT(__VA_ARGS__) // output-macro template <class T, class U> std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) { os << p.first << " " << p.second; return os; } template <class T> std::ostream &operator<<(std::ostream &os, const std::vector<T> &a) { for(int i = 0; i < int(a.size()); ++i) { if(i) os << " "; os << a[i]; } return os; } std::ostream &operator<<(std::ostream &dest, __int128_t &value) { std::ostream::sentry s(dest); if(s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while(tmp != 0); if(value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if(dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } #if __has_include(<atcoder/all>) std::ostream &operator<<(std::ostream &os, const atcoder::modint998244353 &a) { return os << a.val(); } std::ostream &operator<<(std::ostream &os, const atcoder::modint1000000007 &a) { return os << a.val(); } template <int m> std::ostream &operator<<(std::ostream &os, const atcoder::static_modint<m> &a) { return os << a.val(); } template <int m> std::ostream &operator<<(std::ostream &os, const atcoder::dynamic_modint<m> &a) { return os << a.val(); } #endif template <class T> void print(const T a) { std::cout << a << '\n'; } template <class Head, class... Tail> void print(Head H, Tail... T) { std::cout << H << ' '; print(T...); } template <class T> void printel(const T a) { std::cout << a << '\n'; } template <class T> void printel(const std::vector<T> &a) { for(const auto &v : a) std::cout << v << '\n'; } template <class Head, class... Tail> void printel(Head H, Tail... T) { std::cout << H << '\n'; printel(T...); } void Yes(const bool b = true) { std::cout << (b ? "Yes\n" : "No\n"); } void No() { std::cout << "No\n"; } void YES(const bool b = true) { std::cout << (b ? "YES\n" : "NO\n"); } void NO() { std::cout << "NO\n"; } void err(const bool b = true) { if(b) { std::cout << "-1\n", exit(0); } } //debug macro namespace debugger { template <class T> void view(const std::vector<T> &a) { std::cerr << "{ "; for(const auto &v : a) { std::cerr << v << ", "; } std::cerr << "\b\b }"; } template <class T> void view(const std::vector<std::vector<T>> &a) { std::cerr << "{\n"; for(const auto &v : a) { std::cerr << "\t"; view(v); std::cerr << "\n"; } std::cerr << "}"; } template <class T, class U> void view(const std::vector<std::pair<T, U>> &a) { std::cerr << "{\n"; for(const auto &p : a) std::cerr << "\t(" << p.first << ", " << p.second << ")\n"; std::cerr << "}"; } template <class T, class U> void view(const std::map<T, U> &m) { std::cerr << "{\n"; for(const auto &p : m) std::cerr << "\t[" << p.first << "] : " << p.second << "\n"; std::cerr << "}"; } template <class T, class U> void view(const std::pair<T, U> &p) { std::cerr << "(" << p.first << ", " << p.second << ")"; } template <class T> void view(const std::set<T> &s) { std::cerr << "{ "; for(auto &v : s) { view(v); std::cerr << ", "; } std::cerr << "\b\b }"; } template <class T> void view(const T &e) { std::cerr << e; } } // namespace debugger #ifdef LOCAL void debug_out() {} template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { debugger::view(H); std::cerr << ", "; debug_out(T...); } #define debug(...) \ do { \ std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \ debug_out(__VA_ARGS__); \ std::cerr << "\b\b]\n"; \ } while(false) #else #define debug(...) (void(0)) #endif // vector macro template <class T> int lb(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))); } template <class T> int ub(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))); } template <class T> void UNIQUE(std::vector<T> &a) { std::sort(a.begin(), a.end()); a.erase(std::unique(a.begin(), a.end()), a.end()); } template <class T> std::vector<T> press(std::vector<T> &a) { auto res = a; UNIQUE(res); for(auto &v : a) v = lb(res, v); return res; } #define SORTname(a, b, c, ...) c #define SORT(...) SORTname(__VA_ARGS__, SORT1, SORT0, ...)(__VA_ARGS__) #define SORT0(a) std::sort((a).begin(), (a).end()) #define SORT1(a, c) std::sort((a).begin(), (a).end(), [](const auto x, const auto y) { return x c y; }) template <class T> void ADD(std::vector<T> &a, const T x) { for(auto &v : a) v += x; } template <class T> void SUB(std::vector<T> &a, const T x = 1) { for(auto &v : a) v -= x; } template <class T> void MUL(std::vector<T> &a, const T x) { for(auto &v : a) v *= x; } template <class T> void DIV(std::vector<T> &a, const T x) { for(auto &v : a) v /= x; } // math macro template <class T, class U> inline bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; } template <class T, class U> inline bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; } template <class T> T divup(T x, T y) { return (x + y - 1) / y; } template <class T> T POW(T a, long long n) { T ret = 1; while(n) { if(n & 1) ret *= a; a *= a; n >>= 1; } return ret; } // modpow long long POW(long long a, long long n, const int mod) { long long ret = 1; while(n) { if(n & 1) (ret *= a) %= mod; (a *= a) %= mod; n >>= 1; } return ret; } // others struct fast_io { fast_io() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); } } fast_io_; const int inf = 1e9; const ll INF = 1e18; #pragma endregion #pragma region Math Geometry using Real = double; using Point = std::complex<Real>; const Real EPS = 1e-8, PI = acos(-1); inline bool eq(Real a, Real b) { return fabs(b - a) < EPS; } Point operator*(const Point &p, const Real &d) { return Point(real(p) * d, imag(p) * d); } std::istream &operator>>(std::istream &is, Point &p) { Real a, b; is >> a >> b; p = Point(a, b); return is; } std::ostream &operator<<(std::ostream &os, Point &p) { return os << std::fixed << std::setprecision(10) << p.real() << " " << p.imag(); } // 点 p を反時計回りに theta 回転 Point rotate(Real theta, const Point &p) { return Point(cos(theta) * p.real() - sin(theta) * p.imag(), sin(theta) * p.real() + cos(theta) * p.imag()); } Real radian_to_degree(Real r) { return (r * 180.0 / PI); } Real degree_to_radian(Real d) { return (d * PI / 180.0); } // a-b-c の角度のうち小さい方を返す Real get_angle(const Point &a, const Point &b, const Point &c) { const Point v(a - b), w(c - b); Real alpha = atan2(v.imag(), v.real()), beta = atan2(w.imag(), w.real()); if(alpha > beta) std::swap(alpha, beta); Real theta = (beta - alpha); return std::min(theta, 2 * acos(-1) - theta); } namespace std { bool operator<(const Point &a, const Point &b) { return a.real() != b.real() ? a.real() < b.real() : a.imag() < b.imag(); } } // namespace std struct Line { Point a, b; Line() = default; Line(Point a, Point b) : a(a), b(b) {} Line(Real A, Real B, Real C) // Ax + By = C { if(eq(A, 0)) a = Point(0, C / B), b = Point(1, C / B); else if(eq(B, 0)) b = Point(C / A, 0), b = Point(C / A, 1); else a = Point(0, C / B), b = Point(C / A, 0); } friend std::ostream &operator<<(std::ostream &os, Line &p) { return os << p.a << " to " << p.b; } friend std::istream &operator>>(std::istream &is, Line &a) { return is >> a.a >> a.b; } }; struct Segment : Line { Segment() = default; Segment(Point a, Point b) : Line(a, b) {} }; struct Circle { Point p; Real r; Circle() = default; Circle(Point p, Real r) : p(p), r(r) {} }; using Points = std::vector<Point>; using Polygon = std::vector<Point>; using Segments = std::vector<Segment>; using Lines = std::vector<Line>; using Circles = std::vector<Circle>; Real cross(const Point &a, const Point &b) { return real(a) * imag(b) - imag(a) * real(b); } Real dot(const Point &a, const Point &b) { return real(a) * real(b) + imag(a) * imag(b); } // 点の回転方向 int ccw(const Point &a, Point b, Point c) { b = b - a, c = c - a; if(cross(b, c) > EPS) return +1; // "COUNTER_CLOCKWISE" if(cross(b, c) < -EPS) return -1; // "CLOCKWISE" if(dot(b, c) < 0) return +2; // "ONLINE_BACK" if(std::norm(b) < std::norm(c)) return -2; // "ONLINE_FRONT" return 0; // "ON_SEGMENT" } // 平行判定 bool parallel(const Line &a, const Line &b) { return eq(cross(a.b - a.a, b.b - b.a), 0.0); } // 垂直判定 bool orthogonal(const Line &a, const Line &b) { return eq(dot(a.a - a.b, b.a - b.b), 0.0); } // 射影 // 直線 l に p から垂線を引いた交点を求める Point projection(const Line &l, const Point &p) { double t = dot(p - l.a, l.a - l.b) / std::norm(l.a - l.b); return l.a + (l.a - l.b) * t; } Point projection(const Segment &l, const Point &p) { double t = dot(p - l.a, l.a - l.b) / std::norm(l.a - l.b); return l.a + (l.a - l.b) * t; } // 反射 // 直線 l を対称軸として点 p と線対称にある点を求める Point reflection(const Line &l, const Point &p) { return p + (projection(l, p) - p) * 2.0; } bool intersect(const Line &l, const Point &p) { return std::abs(ccw(l.a, l.b, p)) != 1; } bool intersect(const Line &l, const Line &m) { return std::abs(cross(l.b - l.a, m.b - m.a)) > EPS or std::abs(cross(l.b - l.a, m.b - l.a)) < EPS; } bool intersect(const Segment &s, const Point &p) { return ccw(s.a, s.b, p) == 0; } bool intersect(const Line &l, const Segment &s) { return cross(l.b - l.a, s.a - l.a) * cross(l.b - l.a, s.b - l.a) < EPS; } Real distance(const Line &l, const Point &p); bool intersect(const Circle &c, const Line &l) { return distance(l, c.p) <= c.r + EPS; } bool intersect(const Circle &c, const Point &p) { return std::abs(std::abs(p - c.p) - c.r) < EPS; } bool intersect(const Segment &s, const Segment &t) { return ccw(s.a, s.b, t.a) * ccw(s.a, s.b, t.b) <= 0 and ccw(t.a, t.b, s.a) * ccw(t.a, t.b, s.b) <= 0; } int intersect(const Circle &c, const Segment &l) { if(std::norm(projection(l, c.p) - c.p) - c.r * c.r > EPS) return 0; auto d1 = std::abs(c.p - l.a), d2 = std::abs(c.p - l.b); if(d1 < c.r + EPS and d2 < c.r + EPS) return 0; if(d1 < c.r - EPS and d2 > c.r + EPS or d1 > c.r + EPS and d2 < c.r - EPS) return 1; const Point h = projection(l, c.p); if(dot(l.a - h, l.b - h) < 0) return 2; return 0; } int intersect(Circle c1, Circle c2) { if(c1.r < c2.r) std::swap(c1, c2); Real d = std::abs(c1.p - c2.p); if(c1.r + c2.r < d) return 4; if(eq(c1.r + c2.r, d)) return 3; if(c1.r - c2.r < d) return 2; if(eq(c1.r - c2.r, d)) return 1; return 0; } Real distance(const Point &a, const Point &b) { return std::abs(a - b); } Real distance(const Line &l, const Point &p) { return std::abs(p - projection(l, p)); } Real distance(const Line &l, const Line &m) { return intersect(l, m) ? 0 : distance(l, m.a); } Real distance(const Segment &s, const Point &p) { Point r = projection(s, p); if(intersect(s, r)) return std::abs(r - p); return std::min(std::abs(s.a - p), std::abs(s.b - p)); } Real distance(const Segment &a, const Segment &b) { if(intersect(a, b)) return 0; return std::min({distance(a, b.a), distance(a, b.b), distance(b, a.a), distance(b, a.b)}); } Real distance(const Line &l, const Segment &s) { if(intersect(l, s)) return 0; return std::min(distance(l, s.a), distance(l, s.b)); } Point crosspoint(const Line &l, const Line &m) { Real A = cross(l.b - l.a, m.b - m.a); Real B = cross(l.b - l.a, l.b - m.a); if(eq(std::abs(A), 0.0) and eq(std::abs(B), 0.0)) return m.a; return m.a + (m.b - m.a) * B / A; } Point crosspoint(const Segment &l, const Segment &m) { return crosspoint(Line(l), Line(m)); } std::pair<Point, Point> crosspoint(const Circle &c, const Line l) { Point pr = projection(l, c.p); Point e = (l.b - l.a) / std::abs(l.b - l.a); if(eq(distance(l, c.p), c.r)) return {pr, pr}; double base = sqrt(c.r * c.r - std::norm(pr - c.p)); return {pr - e * base, pr + e * base}; } std::pair<Point, Point> crosspoint(const Circle &c, const Segment &l) { Line aa = Line(l.a, l.b); if(intersect(c, l) == 2) return crosspoint(c, aa); auto ret = crosspoint(c, aa); if(dot(l.a - ret.first, l.b - ret.first) < 0) ret.second = ret.first; else ret.first = ret.second; return ret; } std::pair<Point, Point> crosspoint(const Circle &c1, const Circle &c2) { Real d = std::abs(c1.p - c2.p); Real a = acos((c1.r * c1.r + d * d - c2.r * c2.r) / (2 * c1.r * d)); Real t = atan2(c2.p.imag() - c1.p.imag(), c2.p.real() - c1.p.real()); Point p1 = c1.p + Point(cos(t + a) * c1.r, sin(t + a) * c1.r); Point p2 = c1.p + Point(cos(t - a) * c1.r, sin(t - a) * c1.r); return {p1, p2}; } // 点 p を通る円 c の接線 std::pair<Point, Point> tangent(const Circle &c1, const Point &p2) { return crosspoint(c1, Circle(p2, sqrt(std::norm(c1.p - p2) - c1.r * c1.r))); } // 円 c1, c2 の共通接線 Lines tangent(Circle c1, Circle c2) { Lines ret; if(c1.r < c2.r) std::swap(c1, c2); Real g = std::norm(c1.p - c2.p); if(eq(g, 0)) return ret; Point u = (c2.p - c1.p) / sqrt(g); Point v = rotate(PI * 0.5, u); for(int s : {-1, 1}) { Real h = (c1.r + s * c2.r) / sqrt(g); if(eq(1 - h * h, 0)) { ret.emplace_back(c1.p + u * c1.r, c1.p + (u + v) * c1.r); } else if(1 - h * h > 0) { Point uu = u * h, vv = v * sqrt(1 - h * h); ret.emplace_back(c1.p + (uu + vv) * c1.r, c2.p - (uu + vv) * c2.r * s); ret.emplace_back(c1.p + (uu - vv) * c1.r, c2.p - (uu - vv) * c2.r * s); } } return ret; } // 凸性判定 bool is_convex(const Polygon &p) { int n = (int)p.size(); for(int i = 0; i < n; i++) { if(ccw(p[(i + n - 1) % n], p[i], p[(i + 1) % n]) == -1) return false; } return true; } // 凸包 Polygon convex_hull(Polygon &p) { int n = (int)p.size(), k = 0; if(n <= 2) return p; std::sort(p.begin(), p.end()); std::vector<Point> ch(2 * n); for(int i = 0; i < n; ch[k++] = p[i++]) { while(k >= 2 and cross(ch[k - 1] - ch[k - 2], p[i] - ch[k - 1]) < EPS) --k; } for(int i = n - 2, t = k + 1; i >= 0; ch[k++] = p[i--]) { while(k >= t and cross(ch[k - 1] - ch[k - 2], p[i] - ch[k - 1]) < EPS) --k; } ch.resize(k - 1); return ch; } // 多角形と点の包含判定 enum { OUT, ON, IN }; int contains(const Polygon &Q, const Point &p) { bool in = false; for(int i = 0; i < Q.size(); i++) { Point a = Q[i] - p, b = Q[(i + 1) % Q.size()] - p; if(a.imag() > b.imag()) swap(a, b); if(a.imag() <= 0 and 0 < b.imag() and cross(a, b) < 0) in = !in; if(cross(a, b) == 0 and dot(a, b) <= 0) return ON; } return in ? IN : OUT; } // 線分の重複除去 void merge_segments(std::vector<Segment> &segs) { auto merge_if_able = [](Segment &s1, const Segment &s2) { if(std::abs(cross(s1.b - s1.a, s2.b - s2.a)) > EPS) return false; if(ccw(s1.a, s2.a, s1.b) == 1 or ccw(s1.a, s2.a, s1.b) == -1) return false; if(ccw(s1.a, s1.b, s2.a) == -2 or ccw(s2.a, s2.b, s1.a) == -2) return false; s1 = Segment(std::min(s1.a, s2.a), std::max(s1.b, s2.b)); return true; }; for(int i = 0; i < segs.size(); i++) { if(segs[i].b < segs[i].a) std::swap(segs[i].a, segs[i].b); } for(int i = 0; i < segs.size(); i++) { for(int j = i + 1; j < segs.size(); j++) { if(merge_if_able(segs[i], segs[j])) { segs[j--] = segs.back(), segs.pop_back(); } } } } // 線分アレンジメント // 任意の2線分の交点を頂点としたグラフを構築する std::vector<std::vector<int>> segment_arrangement(std::vector<Segment> &segs, std::vector<Point> &ps) { std::vector<std::vector<int>> g; int N = (int)segs.size(); for(int i = 0; i < N; i++) { ps.emplace_back(segs[i].a); ps.emplace_back(segs[i].b); for(int j = i + 1; j < N; j++) { const Point p1 = segs[i].b - segs[i].a; const Point p2 = segs[j].b - segs[j].a; if(cross(p1, p2) == 0) continue; if(intersect(segs[i], segs[j])) { ps.emplace_back(crosspoint(segs[i], segs[j])); } } } std::sort(begin(ps), end(ps)); ps.erase(std::unique(begin(ps), end(ps)), end(ps)); int M = (int)ps.size(); g.resize(M); for(int i = 0; i < N; i++) { std::vector<int> vec; for(int j = 0; j < M; j++) { if(intersect(segs[i], ps[j])) { vec.emplace_back(j); } } for(int j = 1; j < vec.size(); j++) { g[vec[j - 1]].push_back(vec[j]); g[vec[j]].push_back(vec[j - 1]); } } return (g); } // 凸多角形の切断 // 直線 l.a-l.b で切断しその左側にできる凸多角形を返す Polygon convex_cut(const Polygon &U, Line l) { Polygon ret; for(int i = 0; i < U.size(); i++) { Point now = U[i], nxt = U[(i + 1) % U.size()]; if(ccw(l.a, l.b, now) != -1) ret.push_back(now); if(ccw(l.a, l.b, now) * ccw(l.a, l.b, nxt) < 0) { ret.push_back(crosspoint(Line(now, nxt), l)); } } return (ret); } // 多角形の面積 Real area(const Polygon &p) { Real A = 0; for(int i = 0; i < p.size(); ++i) { A += cross(p[i], p[(i + 1) % p.size()]); } return A * 0.5; } // 円と多角形の共通部分の面積 Real area(const Polygon &p, const Circle &c) { if(p.size() < 3) return 0.0; std::function<Real(Circle, Point, Point)> cross_area = [&](const Circle &c, const Point &a, const Point &b) { Point va = c.p - a, vb = c.p - b; Real f = cross(va, vb), ret = 0.0; if(eq(f, 0.0)) return ret; if(std::max(std::abs(va), std::abs(vb)) < c.r + EPS) return f; if(distance(Segment(a, b), c.p) > c.r - EPS) return c.r * c.r * arg(vb * conj(va)); auto u = crosspoint(c, Segment(a, b)); std::vector<Point> tot{a, u.first, u.second, b}; for(int i = 0; i + 1 < tot.size(); i++) { ret += cross_area(c, tot[i], tot[i + 1]); } return ret; }; Real A = 0; for(int i = 0; i < p.size(); i++) { A += cross_area(c, p[i], p[(i + 1) % p.size()]); } return A; } // 凸多角形の直径(最遠頂点対間距離) Real convex_diameter(const Polygon &p) { int N = (int)p.size(); int is = 0, js = 0; for(int i = 1; i < N; i++) { if(p[i].imag() > p[is].imag()) is = i; if(p[i].imag() < p[js].imag()) js = i; } Real maxdis = std::norm(p[is] - p[js]); int maxi, maxj, i, j; i = maxi = is; j = maxj = js; do { if(cross(p[(i + 1) % N] - p[i], p[(j + 1) % N] - p[j]) >= 0) { j = (j + 1) % N; } else { i = (i + 1) % N; } if(std::norm(p[i] - p[j]) > maxdis) { maxdis = std::norm(p[i] - p[j]); maxi = i; maxj = j; } } while(i != is or j != js); return sqrt(maxdis); } // 最近点対 Real closest_pair(Points ps) { if(ps.size() <= 1) throw(0); std::sort(begin(ps), end(ps)); auto compare_y = [&](const Point &a, const Point &b) { return imag(a) < imag(b); }; std::vector<Point> beet(ps.size()); const Real INF = 1e18; std::function<Real(int, int)> rec = [&](int left, int right) { if(right - left <= 1) return INF; int mid = (left + right) >> 1; auto x = real(ps[mid]); auto ret = std::min(rec(left, mid), rec(mid, right)); inplace_merge(begin(ps) + left, begin(ps) + mid, begin(ps) + right, compare_y); int ptr = 0; for(int i = left; i < right; i++) { if(std::abs(real(ps[i]) - x) >= ret) continue; for(int j = 0; j < ptr; j++) { auto luz = ps[i] - beet[ptr - j - 1]; if(imag(luz) >= ret) break; ret = std::min(ret, std::abs(luz)); } beet[ptr++] = ps[i]; } return ret; }; return rec(0, (int)ps.size()); } #pragma endregion void main_() { INT(n); Polygon p(n); REP(i, n) { cin >> p; } ll res = round(abs(area(p)) * 2); print(res); } int main() { int t = 1; //cin >> t; while(t--) main_(); return 0; }