test/verify/aoj-0412.test.cpp

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• Last update: 2024-04-27 01:27:28+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0412

Depends on

• geometry/base.hpp
• geometry/convex_polygon_contains.hpp
• geometry/point.hpp
• geometry/polygon.hpp
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0412

#include "../../template/template.hpp"

#include "../../geometry/convex_polygon_contains.hpp"

using namespace geometry;

int main() {
  int N, Q;
  cin >> N;
  Polygon g(N);
  for(int i = 0; i < N; i++) {
    double x, y;
    cin >> x >> y;
    g[i] = Point(x, y);
  }
  cin >> Q;
  while(Q--) {
    double x, y;
    cin >> x >> y;
    Point p(x - x / 10000, y - y / 10000);
    if(convex_polygon_contains(g, p)) cout << 1 << "\n";
    else cout << 0 << "\n";
  }
}

#line 1 "test/verify/aoj-0412.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0412

#line 1 "template/template.hpp"
#include <bits/stdc++.h>

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
  return a > b && (a = b, true);
}

template <typename T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/aoj-0412.test.cpp"

#line 2 "geometry/base.hpp"

namespace geometry {
using Real = double;
const Real EPS = 1e-8;
const Real PI = acos(static_cast<Real>(-1));

enum { OUT, ON, IN };

inline int sign(const Real &r) { return r <= -EPS ? -1 : r >= EPS ? 1 : 0; }

inline bool equals(const Real &a, const Real &b) { return sign(a - b) == 0; }
}  // namespace geometry
#line 3 "geometry/point.hpp"

namespace geometry {
using Point = complex<Real>;

istream &operator>>(istream &is, Point &p) {
  Real a, b;
  is >> a >> b;
  p = Point(a, b);
  return is;
}

ostream &operator<<(ostream &os, const Point &p) {
  return os << real(p) << " " << imag(p);
}

Point operator*(const Point &p, const Real &d) {
  return Point(real(p) * d, imag(p) * d);
}

// rotate point p counterclockwise by theta rad
Point rotate(Real theta, const Point &p) {
  return Point(cos(theta) * real(p) - sin(theta) * imag(p),
               sin(theta) * real(p) + cos(theta) * imag(p));
}

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);
}

bool compare_x(const Point &a, const Point &b) {
  return equals(real(a), real(b)) ? imag(a) < imag(b) : real(a) < real(b);
}

bool compare_y(const Point &a, const Point &b) {
  return equals(imag(a), imag(b)) ? real(a) < real(b) : imag(a) < imag(b);
}

using Points = vector<Point>;
}  // namespace geometry
#line 2 "geometry/polygon.hpp"

#line 4 "geometry/polygon.hpp"

namespace geometry {
using Polygon = vector<Point>;
using Polygons = vector<Polygon>;
}  // namespace geometry
#line 4 "geometry/convex_polygon_contains.hpp"

namespace geometry {
int convex_polygon_contains(const Polygon &Q, const Point &p) {
  int N = (int)Q.size();
  Point g = (Q[0] + Q[N / 3] + Q[N * 2 / 3]) / 3.0;
  if (equals(imag(g), imag(p)) && equals(real(g), real(p))) return IN;
  Point gp = p - g;
  int l = 0, r = N;
  while (r - l > 1) {
    int mid = (l + r) / 2;
    Point gl = Q[l] - g;
    Point gm = Q[mid] - g;
    if (cross(gl, gm) > 0) {
      if (cross(gl, gp) >= 0 && cross(gm, gp) <= 0)
        r = mid;
      else
        l = mid;
    } else {
      if (cross(gl, gp) <= 0 && cross(gm, gp) >= 0)
        l = mid;
      else
        r = mid;
    }
  }
  r %= N;
  Real v = cross(Q[l] - p, Q[r] - p);
  return sign(v) == 0 ? ON : sign(v) == -1 ? OUT : IN;
}
}  // namespace geometry
#line 6 "test/verify/aoj-0412.test.cpp"

using namespace geometry;

int main() {
  int N, Q;
  cin >> N;
  Polygon g(N);
  for(int i = 0; i < N; i++) {
    double x, y;
    cin >> x >> y;
    g[i] = Point(x, y);
  }
  cin >> Q;
  while(Q--) {
    double x, y;
    cin >> x >> y;
    Point p(x - x / 10000, y - y / 10000);
    if(convex_polygon_contains(g, p)) cout << 1 << "\n";
    else cout << 0 << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_01.in	AC	6 ms	4 MB
g++	00_sample_02.in	AC	6 ms	4 MB
g++	01_small_00.in	AC	6 ms	4 MB
g++	01_small_01.in	AC	6 ms	4 MB
g++	03_tri_00.in	AC	6 ms	4 MB
g++	04_tri_00.in	AC	10 ms	4 MB
g++	05_tri_00.in	AC	23 ms	4 MB
g++	06_tri_00.in	AC	23 ms	4 MB
g++	10_small_hull_00.in	AC	19 ms	4 MB
g++	10_small_hull_01.in	AC	19 ms	4 MB
g++	10_small_hull_02.in	AC	18 ms	4 MB
g++	10_small_hull_03.in	AC	18 ms	4 MB
g++	10_small_hull_04.in	AC	19 ms	4 MB
g++	11_mid_hull_00.in	AC	19 ms	4 MB
g++	11_mid_hull_01.in	AC	19 ms	4 MB
g++	11_mid_hull_02.in	AC	19 ms	4 MB
g++	11_mid_hull_03.in	AC	19 ms	4 MB
g++	11_mid_hull_04.in	AC	19 ms	4 MB
g++	12_large_hull_00.in	AC	20 ms	4 MB
g++	12_large_hull_01.in	AC	20 ms	4 MB
g++	12_large_hull_02.in	AC	19 ms	4 MB
g++	12_large_hull_03.in	AC	19 ms	4 MB
g++	12_large_hull_04.in	AC	20 ms	4 MB
g++	20_small_ellipse_00.in	AC	10 ms	4 MB
g++	20_small_ellipse_01.in	AC	10 ms	4 MB
g++	20_small_ellipse_02.in	AC	10 ms	4 MB
g++	20_small_ellipse_03.in	AC	10 ms	4 MB
g++	20_small_ellipse_04.in	AC	10 ms	4 MB
g++	21_mid_ellipse_00.in	AC	12 ms	4 MB
g++	21_mid_ellipse_01.in	AC	12 ms	4 MB
g++	21_mid_ellipse_02.in	AC	12 ms	4 MB
g++	21_mid_ellipse_03.in	AC	12 ms	4 MB
g++	21_mid_ellipse_04.in	AC	12 ms	4 MB
g++	22_large_ellipse_00.in	AC	46 ms	4 MB
g++	22_large_ellipse_01.in	AC	47 ms	4 MB
g++	22_large_ellipse_02.in	AC	47 ms	4 MB
g++	22_large_ellipse_03.in	AC	47 ms	4 MB
g++	23_bf_killer_00.in	AC	46 ms	4 MB
clang++	00_sample_01.in	AC	6 ms	4 MB
clang++	00_sample_02.in	AC	6 ms	4 MB
clang++	01_small_00.in	AC	6 ms	4 MB
clang++	01_small_01.in	AC	6 ms	4 MB
clang++	03_tri_00.in	AC	6 ms	4 MB
clang++	04_tri_00.in	AC	9 ms	4 MB
clang++	05_tri_00.in	AC	23 ms	4 MB
clang++	06_tri_00.in	AC	23 ms	4 MB
clang++	10_small_hull_00.in	AC	18 ms	4 MB
clang++	10_small_hull_01.in	AC	18 ms	4 MB
clang++	10_small_hull_02.in	AC	18 ms	4 MB
clang++	10_small_hull_03.in	AC	18 ms	4 MB
clang++	10_small_hull_04.in	AC	18 ms	4 MB
clang++	11_mid_hull_00.in	AC	19 ms	4 MB
clang++	11_mid_hull_01.in	AC	18 ms	4 MB
clang++	11_mid_hull_02.in	AC	19 ms	4 MB
clang++	11_mid_hull_03.in	AC	18 ms	4 MB
clang++	11_mid_hull_04.in	AC	19 ms	4 MB
clang++	12_large_hull_00.in	AC	19 ms	4 MB
clang++	12_large_hull_01.in	AC	19 ms	4 MB
clang++	12_large_hull_02.in	AC	19 ms	4 MB
clang++	12_large_hull_03.in	AC	19 ms	4 MB
clang++	12_large_hull_04.in	AC	19 ms	4 MB
clang++	20_small_ellipse_00.in	AC	10 ms	4 MB
clang++	20_small_ellipse_01.in	AC	10 ms	4 MB
clang++	20_small_ellipse_02.in	AC	10 ms	4 MB
clang++	20_small_ellipse_03.in	AC	10 ms	4 MB
clang++	20_small_ellipse_04.in	AC	10 ms	4 MB
clang++	21_mid_ellipse_00.in	AC	11 ms	4 MB
clang++	21_mid_ellipse_01.in	AC	11 ms	4 MB
clang++	21_mid_ellipse_02.in	AC	11 ms	4 MB
clang++	21_mid_ellipse_03.in	AC	12 ms	4 MB
clang++	21_mid_ellipse_04.in	AC	11 ms	4 MB
clang++	22_large_ellipse_00.in	AC	42 ms	4 MB
clang++	22_large_ellipse_01.in	AC	42 ms	4 MB
clang++	22_large_ellipse_02.in	AC	42 ms	4 MB
clang++	22_large_ellipse_03.in	AC	42 ms	4 MB
clang++	23_bf_killer_00.in	AC	42 ms	4 MB

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