This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_4_B
// competitive-verifier: ERROR 0.00000001
#include "../../template/template.hpp"
#include "../../geometry/convex_polygon_diameter.hpp"
using namespace geometry;
int main() {
int N;
cin >> N;
Polygon p(N);
for(int i = 0; i < N; i++) {
cin >> p[i];
}
auto ret = convex_polygon_diameter(p);
cout << abs(p[ret.first] - p[ret.second]) << "\n";
}
#line 1 "test/verify/aoj-cgl-4-b.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_4_B
// competitive-verifier: ERROR 0.00000001
#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 5 "test/verify/aoj-cgl-4-b.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;
}
}
#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 >;
}
#line 2 "geometry/polygon.hpp"
#line 4 "geometry/polygon.hpp"
namespace geometry {
using Polygon = vector< Point >;
using Polygons = vector< Polygon >;
}
#line 3 "geometry/convex_polygon_diameter.hpp"
namespace geometry {
// http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_4_B
pair< int, int > convex_polygon_diameter(const Polygon &p) {
int N = (int) p.size();
int is = 0, js = 0;
for(int i = 1; i < N; i++) {
if(imag(p[i]) > imag(p[is])) is = i;
if(imag(p[i]) < imag(p[js])) js = i;
}
Real maxdis = 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(norm(p[i] - p[j]) > maxdis) {
maxdis = norm(p[i] - p[j]);
maxi = i;
maxj = j;
}
} while(i != is || j != js);
return minmax(maxi, maxj);
}
}
#line 7 "test/verify/aoj-cgl-4-b.test.cpp"
using namespace geometry;
int main() {
int N;
cin >> N;
Polygon p(N);
for(int i = 0; i < N; i++) {
cin >> p[i];
}
auto ret = convex_polygon_diameter(p);
cout << abs(p[ret.first] - p[ret.second]) << "\n";
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | 00_sample_00.in | AC | 6 ms | 4 MB |
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++ | 01_small_02.in | AC | 6 ms | 4 MB |
g++ | 01_small_03.in | AC | 6 ms | 4 MB |
g++ | 01_small_04.in | AC | 6 ms | 4 MB |
g++ | 03_rand_00.in | AC | 6 ms | 4 MB |
g++ | 03_rand_01.in | AC | 6 ms | 4 MB |
g++ | 03_rand_02.in | AC | 6 ms | 4 MB |
g++ | 03_rand_03.in | AC | 6 ms | 4 MB |
g++ | 03_rand_04.in | AC | 6 ms | 4 MB |
g++ | 03_rand_05.in | AC | 6 ms | 4 MB |
g++ | 03_rand_06.in | AC | 6 ms | 4 MB |
g++ | 04_radial_00.in | AC | 6 ms | 4 MB |
g++ | 04_radial_01.in | AC | 7 ms | 4 MB |
g++ | 05_maximum_00.in | AC | 11 ms | 4 MB |
g++ | 05_maximum_01.in | AC | 10 ms | 4 MB |
g++ | 06_linear_00.in | AC | 6 ms | 4 MB |
g++ | 06_linear_01.in | AC | 10 ms | 4 MB |
g++ | 06_linear_02.in | AC | 7 ms | 4 MB |
g++ | 06_linear_03.in | AC | 35 ms | 5 MB |
g++ | 06_linear_04.in | AC | 16 ms | 4 MB |
clang++ | 00_sample_00.in | AC | 6 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++ | 01_small_02.in | AC | 6 ms | 4 MB |
clang++ | 01_small_03.in | AC | 6 ms | 4 MB |
clang++ | 01_small_04.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_00.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_01.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_02.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_03.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_04.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_05.in | AC | 6 ms | 4 MB |
clang++ | 03_rand_06.in | AC | 6 ms | 4 MB |
clang++ | 04_radial_00.in | AC | 6 ms | 4 MB |
clang++ | 04_radial_01.in | AC | 7 ms | 4 MB |
clang++ | 05_maximum_00.in | AC | 10 ms | 4 MB |
clang++ | 05_maximum_01.in | AC | 10 ms | 4 MB |
clang++ | 06_linear_00.in | AC | 6 ms | 4 MB |
clang++ | 06_linear_01.in | AC | 10 ms | 4 MB |
clang++ | 06_linear_02.in | AC | 7 ms | 4 MB |
clang++ | 06_linear_03.in | AC | 36 ms | 5 MB |
clang++ | 06_linear_04.in | AC | 15 ms | 4 MB |