#840121 (C++17) No.96 圏外です。

提出ソース

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 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2,431 ms / 5,000 ms
コード長	9,757 bytes
コンパイル時間	4,676 ms
コンパイル使用メモリ	260,836 KB
実行使用メモリ	23,092 KB
最終ジャッジ日時	2024-07-17 15:22:25
合計ジャッジ時間	28,006 ms
ジャッジサーバーID （参考情報）	judge5 / judge3

このコードへのチャレンジ
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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	2 ms 6,816 KB
testcase_01	AC	2 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,944 KB
testcase_04	AC	23 ms 6,940 KB
testcase_05	AC	53 ms 6,940 KB
testcase_06	AC	74 ms 6,944 KB
testcase_07	AC	139 ms 6,944 KB
testcase_08	AC	167 ms 6,940 KB
testcase_09	AC	280 ms 6,940 KB
testcase_10	AC	304 ms 7,424 KB
testcase_11	AC	477 ms 9,052 KB
testcase_12	AC	481 ms 10,956 KB
testcase_13	AC	709 ms 10,496 KB
testcase_14	AC	1,015 ms 13,632 KB
testcase_15	AC	1,452 ms 12,708 KB
testcase_16	AC	1,305 ms 18,072 KB
testcase_17	AC	1,772 ms 23,092 KB
testcase_18	AC	1,885 ms 20,844 KB
testcase_19	AC	1,888 ms 20,844 KB
testcase_20	AC	1,479 ms 14,972 KB
testcase_21	AC	1,352 ms 14,048 KB
testcase_22	AC	2,431 ms 15,364 KB
testcase_23	AC	764 ms 15,368 KB
testcase_24	AC	2 ms 6,944 KB
testcase_25	AC	1,461 ms 17,060 KB
testcase_26	AC	1,512 ms 21,396 KB
testcase_27	AC	1,138 ms 19,244 KB

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ソースコード

raw source code

#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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結果

テストケース

ソースコード