結果
| 問題 | No.2173 Nightcord |
| ユーザー |
 hitonanode
|
| 提出日時 | 2023-01-03 08:02:08 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 20,260 bytes |
| コンパイル時間 | 2,934 ms |
| コンパイル使用メモリ | 219,780 KB |
| 実行使用メモリ | 6,948 KB |
| 最終ジャッジ日時 | 2024-05-05 07:00:47 |
| 合計ジャッジ時間 | 22,043 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
（要ログイン）
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 | 1 ms
5,248 KB |
| testcase_01 | AC | 1 ms
5,376 KB |
| testcase_02 | AC | 2 ms
5,376 KB |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | AC | 2 ms
5,376 KB |
| testcase_11 | WA | - |
| testcase_12 | AC | 2 ms
5,376 KB |
| testcase_13 | WA | - |
| testcase_14 | WA | - |
| testcase_15 | AC | 1,165 ms
5,376 KB |
| testcase_16 | AC | 2,245 ms
5,376 KB |
| testcase_17 | WA | - |
| testcase_18 | AC | 3 ms
5,376 KB |
| testcase_19 | WA | - |
| testcase_20 | AC | 3 ms
5,376 KB |
| testcase_21 | WA | - |
| testcase_22 | WA | - |
| testcase_23 | AC | 3 ms
5,376 KB |
| testcase_24 | WA | - |
| testcase_25 | AC | 4 ms
5,376 KB |
| testcase_26 | WA | - |
| testcase_27 | WA | - |
| testcase_28 | AC | 4 ms
5,376 KB |
| testcase_29 | WA | - |
| testcase_30 | AC | 4 ms
5,376 KB |
| testcase_31 | WA | - |
| testcase_32 | AC | 198 ms
5,376 KB |
| testcase_33 | AC | 1,636 ms
5,376 KB |
| testcase_34 | AC | 2,128 ms
5,376 KB |
| testcase_35 | AC | 1,003 ms
5,376 KB |
| testcase_36 | AC | 1,293 ms
5,376 KB |
| testcase_37 | AC | 1,744 ms
5,376 KB |
| testcase_38 | AC | 1,322 ms
5,376 KB |
| testcase_39 | AC | 175 ms
5,376 KB |
| testcase_40 | AC | 2,062 ms
5,376 KB |
| testcase_41 | AC | 1,356 ms
5,376 KB |
| testcase_42 | AC | 3 ms
5,376 KB |
| testcase_43 | WA | - |
| testcase_44 | AC | 2 ms
5,376 KB |
| testcase_45 | WA | - |
| testcase_46 | AC | 3 ms
5,376 KB |
| testcase_47 | WA | - |
| testcase_48 | AC | 2 ms
5,376 KB |
| testcase_49 | WA | - |
| testcase_50 | AC | 2 ms
5,376 KB |
| testcase_51 | WA | - |
| testcase_52 | WA | - |
| testcase_53 | WA | - |
| testcase_54 | WA | - |
| testcase_55 | WA | - |
| testcase_56 | WA | - |
ソースコード
#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);
}
// Point on grid, sortable by its argument
struct Point {
constexpr static double eps = 1e-2;
long long X, Y;
double theta;
Point() = default;
Point(long long x, long long y) : X(x), Y(y), theta(std::atan2(y, x)) {}
bool operator<(const Point &r) const {
double b = theta - r.theta;
return std::abs(b) > eps ? (b < 0) : (X * r.Y > r.X * Y);
}
bool operator==(const Point &r) const {
return std::abs(theta - r.theta) < eps and X * r.Y == r.X * Y;
}
bool operator!=(const Point &r) const { return !(*this == r); }
void rotate_pi() {
theta += M_PI;
X *= -1;
Y *= -1;
}
};
// Key class must be comparable
// Example: [(2, 3), (1, 5), (2, 2), (2, 3), (1, 4)] -> [(1, [5, 4]), (2, [3, 2, 3])]
// Verified: https://atcoder.jp/contests/abc259/tasks/abc259_h
template <class Key, class Value>
std::vector<std::pair<Key, std::vector<Value>>> groupby(std::vector<std::pair<Key, Value>> xs) {
using KV = std::pair<Key, Value>;
std::stable_sort(
xs.begin(), xs.end(), [&](const KV &l, const KV &r) { return l.first < r.first; });
std::vector<std::pair<Key, std::vector<Value>>> ret;
for (const auto &x : xs) {
if (ret.empty() or ret.back().first != x.first) {
ret.emplace_back(x.first, std::vector<Value>());
}
ret.back().second.push_back(x.second);
}
return ret;
}
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<Point, pair<int, lint>>> as;
for (const Pt &q : vs.front()) {
if (p == q) continue;
auto dx = q - p;
as.emplace_back(Point(dx.x, dx.y), make_pair(0, dx.norm2()));
}
for (const Pt &q : vs.back()) {
auto dx = q - p;
as.emplace_back(Point(dx.x, dx.y), make_pair(1, dx.norm2()));
}
for (const auto &[key, vals] : groupby(as)) {
lint min1 = 1LL << 61, max0 = -1;
for (auto [flg, norm2] : vals) {
if (flg) {
chmin(min1, norm2);
} else {
chmax(max0, norm2);
}
}
if (min1 < max0) 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");
}