#762098 (C++17) No.1254 補強への架け橋

提出ソース

結果

問題	No.1254 補強への架け橋
ユーザー	iiljj
提出日時	2022-05-18 23:38:55
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	97 ms / 2,000 ms
コード長	13,594 bytes
コンパイル時間	1,714 ms
コンパイル使用メモリ	151,264 KB
実行使用メモリ	24,576 KB
最終ジャッジ日時	2024-09-17 03:42:58
合計ジャッジ時間	13,909 ms
ジャッジサーバーID （参考情報）	judge1 / judge2

このコードへのチャレンジ
（要ログイン）

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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	2 ms 5,376 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	AC	2 ms 5,376 KB
testcase_17	AC	2 ms 5,376 KB
testcase_18	AC	2 ms 5,376 KB
testcase_19	AC	2 ms 5,376 KB
testcase_20	AC	2 ms 5,376 KB
testcase_21	AC	2 ms 5,376 KB
testcase_22	AC	2 ms 5,376 KB
testcase_23	AC	2 ms 5,376 KB
testcase_24	AC	2 ms 5,376 KB
testcase_25	AC	2 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	2 ms 5,376 KB
testcase_28	AC	2 ms 5,376 KB
testcase_29	AC	2 ms 5,376 KB
testcase_30	AC	2 ms 5,376 KB
testcase_31	AC	2 ms 5,376 KB
testcase_32	AC	2 ms 5,376 KB
testcase_33	AC	2 ms 5,376 KB
testcase_34	AC	2 ms 5,376 KB
testcase_35	AC	2 ms 5,376 KB
testcase_36	AC	2 ms 5,376 KB
testcase_37	AC	2 ms 5,376 KB
testcase_38	AC	2 ms 5,376 KB
testcase_39	AC	2 ms 5,376 KB
testcase_40	AC	2 ms 5,376 KB
testcase_41	AC	2 ms 5,376 KB
testcase_42	AC	2 ms 5,376 KB
testcase_43	AC	3 ms 5,376 KB
testcase_44	AC	2 ms 5,376 KB
testcase_45	AC	2 ms 5,376 KB
testcase_46	AC	3 ms 5,376 KB
testcase_47	AC	2 ms 5,376 KB
testcase_48	AC	2 ms 5,376 KB
testcase_49	AC	2 ms 5,376 KB
testcase_50	AC	2 ms 5,376 KB
testcase_51	AC	3 ms 5,376 KB
testcase_52	AC	2 ms 5,376 KB
testcase_53	AC	3 ms 5,376 KB
testcase_54	AC	3 ms 5,376 KB
testcase_55	AC	3 ms 5,376 KB
testcase_56	AC	2 ms 5,376 KB
testcase_57	AC	3 ms 5,376 KB
testcase_58	AC	2 ms 5,376 KB
testcase_59	AC	2 ms 5,376 KB
testcase_60	AC	2 ms 5,376 KB
testcase_61	AC	2 ms 5,376 KB
testcase_62	AC	2 ms 5,376 KB
testcase_63	AC	7 ms 5,376 KB
testcase_64	AC	4 ms 5,376 KB
testcase_65	AC	5 ms 5,376 KB
testcase_66	AC	4 ms 5,376 KB
testcase_67	AC	3 ms 5,376 KB
testcase_68	AC	4 ms 5,376 KB
testcase_69	AC	5 ms 5,376 KB
testcase_70	AC	4 ms 5,376 KB
testcase_71	AC	4 ms 5,376 KB
testcase_72	AC	6 ms 5,376 KB
testcase_73	AC	3 ms 5,376 KB
testcase_74	AC	5 ms 5,376 KB
testcase_75	AC	5 ms 5,376 KB
testcase_76	AC	2 ms 5,376 KB
testcase_77	AC	4 ms 5,376 KB
testcase_78	AC	7 ms 5,376 KB
testcase_79	AC	7 ms 5,376 KB
testcase_80	AC	5 ms 5,376 KB
testcase_81	AC	6 ms 5,376 KB
testcase_82	AC	7 ms 5,376 KB
testcase_83	AC	63 ms 16,220 KB
testcase_84	AC	72 ms 15,912 KB
testcase_85	AC	36 ms 10,872 KB
testcase_86	AC	60 ms 14,560 KB
testcase_87	AC	63 ms 15,312 KB
testcase_88	AC	10 ms 5,376 KB
testcase_89	AC	79 ms 16,268 KB
testcase_90	AC	40 ms 11,316 KB
testcase_91	AC	30 ms 9,784 KB
testcase_92	AC	17 ms 6,728 KB
testcase_93	AC	60 ms 14,092 KB
testcase_94	AC	48 ms 13,352 KB
testcase_95	AC	45 ms 13,208 KB
testcase_96	AC	65 ms 15,680 KB
testcase_97	AC	26 ms 9,168 KB
testcase_98	AC	64 ms 15,728 KB
testcase_99	AC	39 ms 10,592 KB
testcase_100	AC	73 ms 16,428 KB
testcase_101	AC	15 ms 6,528 KB
testcase_102	AC	8 ms 5,376 KB
testcase_103	AC	17 ms 6,784 KB
testcase_104	AC	21 ms 8,268 KB
testcase_105	AC	49 ms 14,096 KB
testcase_106	AC	28 ms 9,416 KB
testcase_107	AC	70 ms 16,140 KB
testcase_108	AC	69 ms 16,004 KB
testcase_109	AC	51 ms 13,984 KB
testcase_110	AC	47 ms 13,168 KB
testcase_111	AC	48 ms 13,732 KB
testcase_112	AC	21 ms 7,540 KB
testcase_113	AC	45 ms 11,956 KB
testcase_114	AC	24 ms 9,332 KB
testcase_115	AC	10 ms 5,504 KB
testcase_116	AC	30 ms 10,144 KB
testcase_117	AC	19 ms 8,080 KB
testcase_118	AC	61 ms 15,528 KB
testcase_119	AC	32 ms 10,556 KB
testcase_120	AC	57 ms 15,088 KB
testcase_121	AC	16 ms 6,912 KB
testcase_122	AC	28 ms 9,932 KB
testcase_123	AC	2 ms 5,376 KB
testcase_124	AC	97 ms 24,576 KB
testcase_125	AC	91 ms 24,576 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

/* #region Head */

// #include <bits/stdc++.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert> // assert.h
#include <cmath>   // math.h
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i))
#define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i))
#define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i))
#define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d))
#define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d))

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define ISIZE(x) ((int)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))

#define endl '\n'

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, const vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, const vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array 入力
    REP(i, 0, SIZE(arr)) is >> arr[i];
    return is;
}
template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, const T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &map_var) {
    return out_iter(os, map_var);
}
template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// tuple 出力
template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) {
    if constexpr (N < std::tuple_size_v<tuple<Args...>>) {
        os << get<N>(a);
        if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) {
            os << ' ';
        } else if constexpr (end_line) {
            os << '\n';
        }
        return operator<<<N + 1, end_line>(os, a);
    }
    return os;
}
template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<<<0, true>(cout, a); }

void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail) > 0) cout << ' ';
    pprint(move(tail)...);
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&...tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#ifndef ONLINE_JUDGE
#define DEBUG_
#endif

#ifndef MYLOCAL
#undef DEBUG_
#endif

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

#define VAR(type, ...)                                                                                                 \
    type __VA_ARGS__;                                                                                                  \
    cin >> __VA_ARGS__;

template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

template <typename T> constexpr void operator--(vc<T> &v, int) noexcept {
    for (int i = 0; i < ISIZE(v); ++i) v[i]--;
}

/* #endregion */

// #include <atcoder/all>
// using namespace atcoder;

/* #region Graph */

// エッジ（本来エッジは双方向だが，ここでは単方向で管理）
template <class weight_t = int, class flow_t = int> struct Edge {
    int src;         // エッジ始点となる頂点
    int dst;         // エッジ終点となる頂点
    weight_t weight; // 重み
    flow_t cap;
    Edge() : src(0), dst(0), weight(0) {}
    Edge(int src, int dst, weight_t weight) : src(src), dst(dst), weight(weight) {}
    Edge(int src, int dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {}
    // Edge 標準出力
    friend ostream &operator<<(ostream &os, Edge &edge) {
        os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")";
        return os;
    }
};

// 同じ頂点を始点とするエッジ集合
template <class weight_t = int, class flow_t = int> class Node : public vc<Edge<weight_t, flow_t>> {
  public:
    int idx;
    Node() : vc<Edge<weight_t, flow_t>>() {}
    // void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); };
};

// graph[i] := 頂点 i を始点とするエッジ集合
template <class weight_t = int, class flow_t = int> class Graph : public vc<Node<weight_t, flow_t>> {
  public:
    Graph() : vc<Node<weight_t, flow_t>>() {}
    Graph(int n) : vc<Node<weight_t, flow_t>>(n) { REP(i, 0, n)(*this)[i].idx = i; }
    /** 単方向 */
    void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); }
    /** 双方向 */
    void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); }
    /** ノード追加 */
    int add_node() {
        int idx = (int)this->size();
        this->emplace_back();
        Node<weight_t, flow_t> &node = this->back();
        node.idx = idx;
        return idx;
    }
};
// using Array = vc<Weight>;
// using Matrix = vc<Array>;

/* #endregion */

/* #region LowLink */

// struct Edge {
//     int to;
// };
// using Graph = vector<vector<Edge>>;
using P = pair<int, int>;
/* Lowlink: グラフの関節点・橋を列挙する構造体
    作成: O(E+V)
    関節点の集合: vector<int> aps
    橋の集合: vector<P> bridges
*/
template <class weight_t = int, class flow_t = int> struct LowLink {
    const Graph<weight_t, flow_t> &G;
    const int n;
    vc<int> used; // dfs 時に頂点 i を問済みかどうか
    vc<int> ord;  // 頂点 i の dfs 順を格納
    vc<int> low;  // 頂点 i から後退辺を高々 1 回通って到達可能な頂点の ord の最小値(lowlink)

    vc<int> aps;                        // 関節点（articulation points）
    vc<Edge<weight_t, flow_t>> bridges; // 橋

    // グラフ G で初期化する．計算量 O(n)
    LowLink(const Graph<weight_t, flow_t> &G_) : G(G_), n(ISIZE(G)) {
        used.assign(n, 0);
        ord.assign(n, 0);
        low.assign(n, 0);
        int k = 0;
        TREP(int, i, 0, n) {
            if (!used[i]) {
                k = dfs(i, k, -1);
            }
        }
        sort(ALL(aps)); // 必要ならソートする
        // sort(ALL(bridges)); // 必要ならソートする
    }

    // id:探索中の頂点, k:dfsで何番目に探索するか, par:idの親
    int dfs(int id, int k, int par) {
        used[id] = true;
        ord[id] = k++;
        low[id] = ord[id];
        bool is_aps = false; // 頂点 id が関節点かどうか
        int count = 0;       // 子の数
        for (const Edge<weight_t, flow_t> &e : G[id]) {
            if (!used[e.dst]) {
                count++;
                k = dfs(e.dst, k, id);
                chmin(low[id], low[e.dst]);
                // 関節点の判定
                if (par != -1 && ord[id] <= low[e.dst]) is_aps = true;
                // 橋の判定
                if (ord[id] < low[e.dst]) bridges.push_back(e);
            } else if (e.dst != par) {
                // eが後退辺（DFS木で使わない辺）のとき
                // DFS tree の後退辺は，明らかに橋になり得ない
                // 訪問先が visited なら，そのノードのDFS順で自分の lowlink を更新する
                chmin(low[id], ord[e.dst]);
            }
        }
        if (par == -1 && count >= 2) is_aps = true;
        if (is_aps) aps.push_back(id);
        return k;
    }
};

/* #endregion */

// Problem
void solve() {
    VAR(ll, n);
    vll a(n), b(n);
    REP(i, 0, n) cin >> a[i], b[i];
    a--, b--;

    vc<int> is_bridge(n, 0);
    Graph<> g(n);
    TREP(int, i, 0, n) { g.add_edge(a[i], b[i], i); }

    LowLink lnk(g);
    for (const Edge<> &bridge : lnk.bridges) {
        is_bridge[bridge.weight] = 1;
    }

    vc<int> out;
    REP(i, 0, n) {
        if (is_bridge[i] == 0) out.push_back(i + 1);
    }
    pprint(SIZE(out));
    cout >> out;
}

// entry point
int main() {
    solve();
    return 0;
}

yukicoder

結果

テストケース

ソースコード