結果

問題 No.96 圏外です。
ユーザー 👑 rin204
提出日時 2023-02-15 04:26:00
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 3,308 ms / 5,000 ms
コード長 9,757 bytes
コンパイル時間 15,813 ms
コンパイル使用メモリ 315,392 KB
最終ジャッジ日時 2025-02-10 15:39:22
ジャッジサーバーID
(参考情報)
judge5 / judge3
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ファイルパターン 結果
other AC * 28
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ソースコード

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プレゼンテーションモードにする

#line 1 "A.cpp"
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)
#define fori1(a) for(ll _ = 0; _ < (a); _++)
#define fori2(i, a) for(ll i = 0; i < (a); i++)
#define fori3(i, a, b) for(ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for(ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
template <typename T>
vector<tuple<ll, T>> ENUMERATE(vector<T> &A, ll s = 0){
vector<tuple<ll, T>> ret(A.size());
for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
return ret;
}
vector<tuple<ll, char>> ENUMERATE(string &A, ll s = 0){
vector<tuple<ll, char>> ret(A.size());
for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
return ret;
}
#define enum1(A) fori(A.size())
#define enum2(a, A) for(auto a:A)
#define enum3(i, a, A) for(auto&& [i, a]: ENUMERATE(A))
#define enum4(i, a, A, s) for(auto&& [i, a]: ENUMERATE(A, s))
#define enum(...) overload4(__VA_ARGS__, enum4, enum3, enum2, enum1)(__VA_ARGS__)
template <typename T, typename S>
vector<tuple<T, S>> ZIP(vector<T> &A, vector<S> &B){
int n = min(A.size(), B.size());
vector<tuple<T, S>> ret(n);
for(int i = 0; i < n; i++) ret[i] = {A[i], B[i]};
return ret;
}
template <typename T, typename S>
vector<tuple<ll, T, S>> ENUMZIP(vector<T> &A, vector<S> &B, ll s = 0){
int n = min(A.size(), B.size());
vector<tuple<ll, T, S>> ret(n);
for(int i = 0; i < n; i++) ret[i] = {i + s, A[i], B[i]};
return ret;
}
#define zip4(a, b, A, B) for(auto&& [a, b]: ZIP(A, B))
#define enumzip5(i, a, b, A, B) for(auto&& [i, a, b]: ENUMZIP(A, B))
#define enumzip6(i, a, b, A, B, s) for(auto&& [i, a, b]: ENUMZIP(A, B, s))
#define overload6(a, b, c, d, e, f, g, ...) g
#define zip(...) overload6(__VA_ARGS__, enumzip6, enumzip5, zip4, _, _, _)(__VA_ARGS__)
vector<char> stoc(string &S){
int n = S.size();
vector<char> ret(n);
for(int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
template<class T> auto min(const T& a){
return *min_element(all(a));
}
template<class T> auto max(const T& a){
return *max_element(all(a));
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
void FLUSH(){cout << flush;}
void print(){cout << endl;}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(forward<Tail>(tail)...);
}
template<typename T>
void print(vector<T> &A){
int n = A.size();
for(int i = 0; i < n; i++){
cout << A[i];
if(i == n - 1) cout << endl;
else cout << spa;
}
}
template<typename T>
void print(vector<vector<T>> &A){
for(auto &row: A) print(row);
}
template<typename T, typename S>
void print(pair<T, S> &A){
cout << A.first << spa << A.second << endl;
}
template<typename T, typename S>
void print(vector<pair<T, S>> &A){
for(auto &row: A) print(row);
}
template<typename T, typename S>
void prisep(vector<T> &A, S sep){
int n = A.size();
for(int i = 0; i < n; i++){
cout << A[i];
if(i == n - 1) cout << endl;
else cout << sep;
}
}
template<typename T, typename S>
void priend(T A, S end){
cout << A << end;
}
template<typename T>
void priend(T A){
priend(A, spa);
}
template<class... T>
void inp(T&... a){
(cin >> ... >> a);
}
template<typename T>
void inp(vector<T> &A){
for(auto &a:A) cin >> a;
}
template<typename T>
void inp(vector<vector<T>> &A){
for(auto &row:A) inp(row);
}
template<typename T, typename S>
void inp(pair<T, S> &A){
inp(A.first, A.second);
}
template<typename T, typename S>
void inp(vector<pair<T, S>> &A){
for(auto &row: A) inp(row.first, row.second);
}
template<typename T>
T sum(vector<T> &A){
T tot = 0;
for(auto a:A) tot += a;
return tot;
}
template<typename T>
pair<vector<T>, map<T, int>> compression(vector<T> X){
sort(all(X));
X.erase(unique(all(X)), X.end());
map<T, int> mp;
for(int i = 0; i < X.size(); i++) mp[X[i]] = i;
return {X, mp};
}
#line 2 "Library/C++/data_structure/UnionFind.hpp"
struct UnionFind{
int n;
vector<int> par;
int group;
UnionFind(int n) : n(n){
par.assign(n, -1);
group = n;
}
int find(int x){
if(par[x] < 0) return x;
par[x] = find(par[x]);
return par[x];
}
bool unite(int x, int y){
x = find(x);
y = find(y);
if(x == y) return false;
if(par[x] > par[y]) swap(x, y);
group--;
par[x] += par[y];
par[y] = x;
return true;
}
bool same(int x, int y){
return find(x) == find(y);
}
int size(int x){
return -par[find(x)];
}
vector<int> roots(){
vector<int> ret;
for(int i = 0; i < n; i++){
if(i == find(i)) ret.push_back(i);
}
return ret;
}
};
#line 2 "Library/C++/geometry/Point.hpp"
struct Point{
long long x;
long long y;
Point(){}
Point(long long x, long long y) : x(x), y(y) {}
int area(){
if(y < 0){
if(x < 0) return 1;
else return 2;
}
else{
if(x >= 0) return 3;
else return 4;
}
}
bool operator<(Point& rhs){
int ap = area();
int aq = rhs.area();
if(ap == aq){
if (x == 0 && y == 0) return true;
return x * rhs.y > rhs.x * y;
}
else{
return ap < aq;
}
}
};
#line 3 "Library/C++/geometry/cross3.hpp"
long long cross3(Point &a, Point &b, Point &c){
return (b.x - a.x) * (c.y - a.y) - (b.y - a.y) * (c.x - a.x);
}
#line 4 "Library/C++/geometry/convexHull.hpp"
vector<Point> convexHull(vector<Point> P, bool multi=true){
sort(P.begin(), P.end(), [](Point &l, Point &r){
if(l.x == r.x) return l.y < r.y;
return l.x < r.x;
});
vector<Point> Q;
int n = P.size();
if(multi){
for(auto p:P){
while(Q.size() > 1 && cross3(Q[Q.size() - 1], Q[Q.size() - 2], p) > 0){
Q.pop_back();
}
Q.push_back(p);
}
int t = Q.size();
for(int i = n - 2; i >= 0; i--){
Point p = P[i];
while(Q.size() > t && cross3(Q[Q.size() - 1], Q[Q.size() - 2], p) > 0){
Q.pop_back();
}
Q.push_back(p);
}
}
else{
for(auto p:P){
while(Q.size() > 1 && cross3(Q[Q.size() - 1], Q[Q.size() - 2], p) >= 0){
Q.pop_back();
}
Q.push_back(p);
}
int t = Q.size();
for(int i = n - 2; i >= 0; i--){
Point p = P[i];
while(Q.size() > t && cross3(Q[Q.size() - 1], Q[Q.size() - 2], p) >= 0){
Q.pop_back();
}
Q.push_back(p);
}
}
Q.pop_back();
return Q;
}
#line 189 "A.cpp"
using ld = long double;
void solve(){
INT(n);
if(n == 0){
print(1);
return;
}
unordered_map<ll, int> mp;
vec(ll, X, n);
vec(ll, Y, n);
fori(i, n){
inp(X[i], Y[i]);
X[i] += 10000;
Y[i] += 10000;
mp[(X[i] << 30) | Y[i]] = i;
}
UnionFind UF(n);
vector<pair<int, int>> D;
fori(i, -10, 11) fori(j, -10, 11){
if(i == 0 && j == 0) continue;
if(i * i + j * j <= 100) D.push_back({i, j});
}
fori(i, n){
for(auto tmp:D){
ll x = X[i] + tmp.first;
ll y = Y[i] + tmp.second;
ll t = (x << 30) | y;
if(mp.count(t)) UF.unite(i, mp[t]);
}
}
// vvec(Point, points, n);
map<ll, vector<Point>> points;
fori(i, n){
points[UF.find(i)].push_back({X[i], Y[i]});
}
ld ans = 2.0;
for(auto &tmp:points){
// if(tmp.empty()) continue;
if(tmp.second.size() == 1) continue;
auto res = convexHull(tmp.second, false);
int le = len(res);
res.insert(res.end(), all(res));
auto dist=[&](int i, int j){
ld dx = res[i].x - res[j].x;
ld dy = res[i].y - res[j].y;
return sqrt(dx * dx + dy * dy) + 2.0;
};
int r = 1;
fori(l, le){
while(dist(l, r + 1) > dist(l, r)) r++;
chmax(ans, dist(l, r));
}
}
print(ans);
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while(t--) solve();
return 0;
}
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