結果
問題 | No.96 圏外です。 |
ユーザー |
👑 |
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 |
ソースコード
#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;}