#829995 (C++23) No.2173 Nightcord

提出ソース
結果

問題	No.2173 Nightcord
ユーザー	👑 hitonanode
提出日時	2023-01-03 07:55:27
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	22,631 bytes
コンパイル時間	3,058 ms
コンパイル使用メモリ	209,628 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-05-05 07:00:22
合計ジャッジ時間	19,742 ms
ジャッジサーバーID （参考情報）	judge2 / judge4
このコードへのチャレンジ
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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	AC	2 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	578 ms 5,376 KB
testcase_04	WA	-
testcase_05	WA	-
testcase_06	RE	-
testcase_07	RE	-
testcase_08	RE	-
testcase_09	WA	-
testcase_10	AC	192 ms 5,376 KB
testcase_11	WA	-
testcase_12	AC	355 ms 5,376 KB
testcase_13	WA	-
testcase_14	WA	-
testcase_15	AC	668 ms 5,376 KB
testcase_16	AC	752 ms 5,376 KB
testcase_17	WA	-
testcase_18	AC	224 ms 5,376 KB
testcase_19	WA	-
testcase_20	AC	222 ms 5,376 KB
testcase_21	WA	-
testcase_22	WA	-
testcase_23	AC	326 ms 5,376 KB
testcase_24	WA	-
testcase_25	AC	464 ms 5,376 KB
testcase_26	WA	-
testcase_27	WA	-
testcase_28	AC	565 ms 5,376 KB
testcase_29	WA	-
testcase_30	AC	757 ms 5,376 KB
testcase_31	WA	-
testcase_32	AC	66 ms 5,376 KB
testcase_33	WA	-
testcase_34	WA	-
testcase_35	AC	319 ms 5,376 KB
testcase_36	AC	439 ms 5,376 KB
testcase_37	AC	636 ms 5,376 KB
testcase_38	AC	316 ms 5,376 KB
testcase_39	AC	72 ms 5,376 KB
testcase_40	WA	-
testcase_41	AC	440 ms 5,376 KB
testcase_42	AC	517 ms 5,376 KB
testcase_43	AC	36 ms 5,376 KB
testcase_44	AC	3 ms 5,376 KB
testcase_45	AC	114 ms 5,376 KB
testcase_46	AC	538 ms 5,376 KB
testcase_47	AC	160 ms 5,376 KB
testcase_48	AC	117 ms 5,376 KB
testcase_49	AC	5 ms 5,376 KB
testcase_50	AC	40 ms 5,376 KB
testcase_51	AC	176 ms 5,376 KB
testcase_52	AC	3 ms 5,376 KB
testcase_53	AC	187 ms 5,376 KB
testcase_54	AC	279 ms 5,376 KB
testcase_55	AC	58 ms 5,376 KB
testcase_56	AC	126 ms 5,376 KB
権限があれば一括ダウンロードができます
ソースコード

raw source code
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif

#include <algorithm>
#include <cassert>
#include <cmath>
#include <complex>
#include <iostream>
#include <tuple>
#include <utility>
#include <vector>

template <typename T_P> struct Point2d {
    static T_P EPS;
    static void set_eps(T_P e) { EPS = e; }
    T_P x, y;
    Point2d() : x(0), y(0) {}
    Point2d(T_P x, T_P y) : x(x), y(y) {}
    Point2d(const std::pair<T_P, T_P> &p) : x(p.first), y(p.second) {}
    Point2d(const std::complex<T_P> &p) : x(p.real()), y(p.imag()) {}
    std::complex<T_P> to_complex() const noexcept { return {x, y}; }
    Point2d operator+(const Point2d &p) const noexcept { return Point2d(x + p.x, y + p.y); }
    Point2d operator-(const Point2d &p) const noexcept { return Point2d(x - p.x, y - p.y); }
    Point2d operator*(const Point2d &p) const noexcept {
        static_assert(std::is_floating_point<T_P>::value == true);
        return Point2d(x * p.x - y * p.y, x * p.y + y * p.x);
    }
    Point2d operator*(T_P d) const noexcept { return Point2d(x * d, y * d); }
    Point2d operator/(T_P d) const noexcept {
        static_assert(std::is_floating_point<T_P>::value == true);
        return Point2d(x / d, y / d);
    }
    Point2d inv() const {
        static_assert(std::is_floating_point<T_P>::value == true);
        return conj() / norm2();
    }
    Point2d operator/(const Point2d &p) const { return (*this) * p.inv(); }
    bool operator<(const Point2d &r) const noexcept { return x != r.x ? x < r.x : y < r.y; }
    bool operator==(const Point2d &r) const noexcept { return x == r.x and y == r.y; }
    bool operator!=(const Point2d &r) const noexcept { return !((*this) == r); }
    T_P dot(Point2d p) const noexcept { return x * p.x + y * p.y; }
    T_P det(Point2d p) const noexcept { return x * p.y - y * p.x; }
    T_P absdet(Point2d p) const noexcept { return std::abs(det(p)); }
    T_P norm() const noexcept {
        static_assert(std::is_floating_point<T_P>::value == true);
        return std::sqrt(x * x + y * y);
    }
    T_P norm2() const noexcept { return x * x + y * y; }
    T_P arg() const noexcept { return std::atan2(y, x); }
    // rotate point/vector by rad
    Point2d rotate(T_P rad) const noexcept {
        static_assert(std::is_floating_point<T_P>::value == true);
        return Point2d(x * std::cos(rad) - y * std::sin(rad), x * std::sin(rad) + y * std::cos(rad));
    }
    Point2d normalized() const {
        static_assert(std::is_floating_point<T_P>::value == true);
        return (*this) / this->norm();
    }
    Point2d conj() const noexcept { return Point2d(x, -y); }

    template <class IStream> friend IStream &operator>>(IStream &is, Point2d &p) {
        T_P x, y;
        is >> x >> y;
        p = Point2d(x, y);
        return is;
    }
    template <class OStream> friend OStream &operator<<(OStream &os, const Point2d &p) {
        return os << '(' << p.x << ',' << p.y << ')';
    }
};
template <> double Point2d<double>::EPS = 1e-9;
template <> long double Point2d<long double>::EPS = 1e-12;
template <> long long Point2d<long long>::EPS = 0;

template <typename T_P>
int ccw(const Point2d<T_P> &a, const Point2d<T_P> &b, const Point2d<T_P> &c) {
    // a->b->cの曲がり方
    Point2d<T_P> v1 = b - a;
    Point2d<T_P> v2 = c - a;
    if (v1.det(v2) > Point2d<T_P>::EPS) return 1;   // 左折
    if (v1.det(v2) < -Point2d<T_P>::EPS) return -1; // 右折
    if (v1.dot(v2) < -Point2d<T_P>::EPS) return 2;  // c-a-b
    if (v1.norm2() < v2.norm2()) return -2;           // a-b-c
    return 0;                                       // a-c-b
}

// Convex hull （凸包）
// return: IDs of vertices used for convex hull, counterclockwise
// include_boundary: If true, interior angle pi is allowed
template <typename T_P>
std::vector<int> convex_hull(const std::vector<Point2d<T_P>> &ps, bool include_boundary = false) {
    int n = ps.size();
    if (n <= 1) return std::vector<int>(n, 0);
    std::vector<std::pair<Point2d<T_P>, int>> points(n);
    for (size_t i = 0; i < ps.size(); i++) points[i] = std::make_pair(ps[i], i);
    std::sort(points.begin(), points.end());
    int k = 0;
    std::vector<std::pair<Point2d<T_P>, int>> qs(2 * n);
    auto ccw_check = [&](int c) { return include_boundary ? (c == -1) : (c <= 0); };
    for (int i = 0; i < n; i++) {
        while (k > 1 and ccw_check(ccw(qs[k - 2].first, qs[k - 1].first, points[i].first))) k--;
        qs[k++] = points[i];
    }
    for (int i = n - 2, t = k; i >= 0; i--) {
        while (k > t and ccw_check(ccw(qs[k - 2].first, qs[k - 1].first, points[i].first))) k--;
        qs[k++] = points[i];
    }
    std::vector<int> ret(k - 1);
    for (int i = 0; i < k - 1; i++) ret[i] = qs[i].second;
    return ret;
}

// Solve r1 + t1 * v1 == r2 + t2 * v2
template <typename T_P, typename std::enable_if<std::is_floating_point<T_P>::value>::type * = nullptr>
Point2d<T_P> lines_crosspoint(Point2d<T_P> r1, Point2d<T_P> v1, Point2d<T_P> r2, Point2d<T_P> v2) {
    static_assert(std::is_floating_point<T_P>::value == true);
    assert(v2.det(v1) != 0);
    return r1 + v1 * (v2.det(r2 - r1) / v2.det(v1));
}

// Whether two segments s1t1 & s2t2 intersect or not (endpoints not included)
// Google Code Jam 2013 Round 3 - Rural Planning
// Google Code Jam 2021 Round 3 - Fence Design
template <typename T>
bool intersect_open_segments(Point2d<T> s1, Point2d<T> t1, Point2d<T> s2, Point2d<T> t2) {
    if (s1 == t1 or s2 == t2) return false; // Not segment but point
    int nbad = 0;
    for (int t = 0; t < 2; t++) {
        Point2d<T> v1 = t1 - s1, v2 = t2 - s2;
        T den = v2.det(v1);
        if (den == 0) {
            if (s1.det(v1) == s2.det(v1)) {
                auto L1 = s1.dot(v1), R1 = t1.dot(v1);
                auto L2 = s2.dot(v1), R2 = t2.dot(v1);
                if (L1 > R1) std::swap(L1, R1);
                if (L2 > R2) std::swap(L2, R2);
                if (L1 > L2) std::swap(L1, L2), std::swap(R1, R2);
                return R1 > L2;
            } else {
                return false;
            }
        } else {
            auto num = v2.det(s2 - s1);
            if ((0 < num and num < den) or (den < num and num < 0)) nbad++;
        }
        std::swap(s1, s2);
        std::swap(t1, t2);
    }
    return nbad == 2;
}

// Whether point p is on segment (s, t) (endpoints not included)
// Google Code Jam 2013 Round 3 - Rural Planning
template <typename PointNd> bool is_point_on_open_segment(PointNd s, PointNd t, PointNd p) {
    if (s == t) return false; // not segment but point
    if (p == s or p == t) return false;
    auto v = t - s, w = p - s;
    if (v.absdet(w)) return false;
    auto vv = v.dot(v), vw = v.dot(w);
    return vw > 0 and vw < vv;
}

// Convex cut
// Cut the convex polygon g by line p1->p2 and return the leftward one
template <typename T_P>
std::vector<Point2d<T_P>>
convex_cut(const std::vector<Point2d<T_P>> &g, Point2d<T_P> p1, Point2d<T_P> p2) {
    static_assert(std::is_floating_point<T_P>::value == true);
    assert(p1 != p2);
    std::vector<Point2d<T_P>> ret;
    for (int i = 0; i < (int)g.size(); i++) {
        const Point2d<T_P> &now = g[i], &nxt = g[(i + 1) % g.size()];
        if (ccw(p1, p2, now) != -1) ret.push_back(now);
        if ((ccw(p1, p2, now) == -1) xor (ccw(p1, p2, nxt) == -1)) {
            ret.push_back(lines_crosspoint(now, nxt - now, p1, p2 - p1));
        }
    }
    return ret;
}

// 2円の交点 (ABC157F, SRM 559 Div.1 900)
template <typename T_P>
std::vector<Point2d<T_P>>
IntersectTwoCircles(const Point2d<T_P> &Ca, T_P Ra, const Point2d<T_P> &Cb, T_P Rb) {
    static_assert(std::is_floating_point<T_P>::value == true);
    T_P d = (Ca - Cb).norm();
    if (Ra + Rb < d) return {};
    T_P rc = (d * d + Ra * Ra - Rb * Rb) / (2 * d);
    T_P rs2 = Ra * Ra - rc * rc;
    if (rs2 < 0) return {};
    T_P rs = std::sqrt(rs2);
    Point2d<T_P> diff = (Cb - Ca) / d;
    return {Ca + diff * Point2d<T_P>(rc, rs), Ca + diff * Point2d<T_P>(rc, -rs)};
}

// Solve |x0 + vt| = R (SRM 543 Div.1 1000, GCJ 2016 R3 C)
template <typename PointNd, typename Float>
std::vector<Float> IntersectCircleLine(const PointNd &x0, const PointNd &v, Float R) {
    static_assert(std::is_floating_point<Float>::value == true);
    Float b = Float(x0.dot(v)) / v.norm2();
    Float c = Float(x0.norm2() - Float(R) * R) / v.norm2();
    if (b * b - c < 0) return {};
    Float ret1 = -b + sqrtl(b * b - c) * (b > 0 ? -1 : 1);
    Float ret2 = c / ret1;
    return ret1 < ret2 ? std::vector<Float>{ret1, ret2} : std::vector<Float>{ret2, ret1};
}

// Distance between point p <-> line ab
template <typename PointFloat>
decltype(PointFloat::x)
DistancePointLine(const PointFloat &p, const PointFloat &a, const PointFloat &b) {
    assert(a != b);
    return (b - a).absdet(p - a) / (b - a).norm();
}

// Distance between point p <-> line segment ab
template <typename PointFloat>
decltype(PointFloat::x)
DistancePointSegment(const PointFloat &p, const PointFloat &a, const PointFloat &b) {
    if (a == b) {
        return (p - a).norm();
    } else if ((p - a).dot(b - a) <= 0) {
        return (p - a).norm();
    } else if ((p - b).dot(a - b) <= 0) {
        return (p - b).norm();
    } else {
        return DistancePointLine<PointFloat>(p, a, b);
    }
}

// Area of polygon (might be negative)
template <typename T_P> T_P signed_area_of_polygon(const std::vector<Point2d<T_P>> &poly) {
    static_assert(std::is_floating_point<T_P>::value == true);
    T_P area = 0;
    for (size_t i = 0; i < poly.size(); i++) area += poly[i].det(poly[(i + 1) % poly.size()]);
    return area * 0.5;
}

using Pt = Point2d<lint>;

void Yes() {
    puts("Yes");
    exit(0);
}

#include <limits>

// Rational number + {infinity(1 / 0), -infiity(-1 / 0), nan(0 / 0)} （有理数）
// Do not compare any number with nan
// Verified: Yandex Cup 2022 Final E https://contest.yandex.com/contest/42710/problems/K
template <class Int, bool AlwaysReduce = false> struct Rational {
    Int num, den;
    static constexpr Int my_gcd(Int a, Int b) {
        // return __gcd(a, b);
        if (a < 0) a = -a;
        if (b < 0) b = -b;
        while (a and b) {
            if (a > b)
                a %= b;
            else
                b %= a;
        }
        return a + b;
    }
    constexpr Rational(Int num = 0, Int den = 1) : num(num), den(den) { normalize(); }
    constexpr void normalize() noexcept {
        if constexpr (AlwaysReduce) { // reduction
            Int g = my_gcd(num, den);
            if (g) num /= g, den /= g;
        } else {
            if (den == 0) {
                if (num > 1) num = 1;
                if (num < -1) num = -1;
            }
        }
        if (den < 0) num = -num, den = -den; // denominator >= 0
    }
    constexpr Rational operator+(const Rational &r) const noexcept {
        if (!den and !r.den) return Rational(num + r.num, den);
        return Rational(num * r.den + den * r.num, den * r.den);
    }
    constexpr Rational operator-(const Rational &r) const noexcept {
        if (!den and !r.den) return Rational(num - r.num, den);
        return Rational(num * r.den - den * r.num, den * r.den);
    }
    constexpr Rational operator*(const Rational &r) const noexcept {
        return Rational(num * r.num, den * r.den);
    }
    constexpr Rational operator/(const Rational &r) const noexcept {
        return Rational(num * r.den, den * r.num);
    }
    constexpr Rational &operator+=(const Rational &r) noexcept { return *this = *this + r; }
    constexpr Rational &operator-=(const Rational &r) noexcept { return *this = *this - r; }
    constexpr Rational &operator*=(const Rational &r) noexcept { return *this = *this * r; }
    constexpr Rational &operator/=(const Rational &r) noexcept { return *this = *this / r; }
    constexpr Rational operator-() const noexcept { return Rational(-num, den); }
    constexpr Rational abs() const noexcept { return Rational(num > 0 ? num : -num, den); }
    constexpr bool operator==(const Rational &r) const noexcept {
        if constexpr (AlwaysReduce) {
            return num == r.num and den == r.den;
        } else {
            return num * r.den == r.num * den;
        }
    }
    constexpr bool operator!=(const Rational &r) const noexcept { return !(*this == r); }
    constexpr bool operator<(const Rational &r) const noexcept {
        if (den == 0 and r.den == 0)
            return num < r.num;
        else if (den == 0)
            return num < 0;
        else if (r.den == 0)
            return r.num > 0;
        else
            return num * r.den < den * r.num;
    }
    constexpr bool operator<=(const Rational &r) const noexcept {
        return (*this == r) or (*this < r);
    }
    constexpr bool operator>(const Rational &r) const noexcept { return r < *this; }
    constexpr bool operator>=(const Rational &r) const noexcept {
        return (r == *this) or (r < *this);
    }
    constexpr explicit operator double() const noexcept { return (double)num / (double)den; }
    constexpr explicit operator long double() const noexcept {
        return (long double)num / (long double)den;
    }
    template <class OStream> constexpr friend OStream &operator<<(OStream &os, const Rational &x) {
        return os << x.num << '/' << x.den;
    }
};

template <class Int> struct std::numeric_limits<Rational<Int, false>> {
    static constexpr Rational<Int, false> max() noexcept {
        return std::numeric_limits<Int>::max();
    }
    static constexpr Rational<Int, false> min() noexcept {
        return std::numeric_limits<Int>::min();
    }
    static constexpr Rational<Int, false> lowest() noexcept {
        return std::numeric_limits<Int>::lowest();
    }
};


int main() {
    int N, K;
    cin >> N >> K;
    vector<vector<Pt>> vs(2);
    vector<vector<Point2d<double>>> vfs;
    REP(i, N) {
        int x, y, c;
        cin >> x >> y >> c;
        vs.at(c - 1).emplace_back(x, y);
    }

    REP(_, 2) {
        for (const Pt &p : vs.front()) {
            vector<pair<Rational<lint>, int>> as;
            for (const Pt &q : vs.front()) {
                if (p == q) continue;
                auto dx = q - p;
                as.emplace_back(Rational<lint>(dx.x, dx.y), 0);
            }
            for (const Pt &q : vs.back()) {
                auto dx = q - p;
                as.emplace_back(Rational<lint>(dx.x, dx.y), 1);
            }
            sort(as.begin(), as.end());
            FOR(i, 1, as.size()) {
                if (as.at(i - 1).first == as.at(i).first and as.at(i - 1).second != as.at(i).second) Yes();
            }
        }
        swap(vs.front(), vs.back());
    }

    for (auto &v : vs) {
        vector<Pt> w;
        vector<Point2d<double>> wf;
        for (int i : convex_hull(v)) {
            w.push_back(v.at(i));
            wf.push_back(Point2d<double>(v.at(i).x, v.at(i).y));
        }
        v = w;
        vfs.push_back(wf);
    }
    dbg(vs);

    if (K > 3) {
        REP(_, 2) {
            for (const auto &p : vs.back()) {
                Point2d<double> pf(p.x, p.y);
                double rot = 0;
                REP(i, vs.front().size()) {
                    rot += ((vfs.front().at((i + 1) % vfs.front().size()) - pf) / (vfs.front().at(i) - pf)).arg();
                }
                if (abs(rot) < 0.1) Yes();
            }

            Pt flast = vs.front().back();
            for (const auto &f : vs.front()) {
                Pt blast = vs.back().back();
                for (const auto &b : vs.back()) {
                    if (intersect_open_segments(flast, blast, f, b)) Yes();
                    blast = b;
                }
                flast = f;
            }

            swap(vs.front(), vs.back());
            swap(vfs.front(), vfs.back());
        }
    }

    puts("No");
}
yukicoder

結果

テストケース

ソースコード
