#824495 (C++17) No.2160 みたりのDominator

提出ソース

結果

問題	No.2160 みたりのDominator
ユーザー	👑 Nachia
提出日時	2022-12-10 16:35:56
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	129 ms / 2,000 ms
コード長	9,565 bytes
コンパイル時間	1,607 ms
コンパイル使用メモリ	98,872 KB
実行使用メモリ	29,780 KB
最終ジャッジ日時	2024-04-22 23:59:03
合計ジャッジ時間	8,925 ms
ジャッジサーバーID （参考情報）	judge4 / judge1

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	41 ms 20,792 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,944 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,944 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	2 ms 6,940 KB
testcase_15	AC	2 ms 6,940 KB
testcase_16	AC	2 ms 6,944 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	2 ms 6,944 KB
testcase_19	AC	2 ms 6,940 KB
testcase_20	AC	2 ms 6,940 KB
testcase_21	AC	2 ms 6,940 KB
testcase_22	AC	2 ms 6,940 KB
testcase_23	AC	2 ms 6,944 KB
testcase_24	AC	2 ms 6,940 KB
testcase_25	AC	2 ms 6,940 KB
testcase_26	AC	2 ms 6,940 KB
testcase_27	AC	2 ms 6,944 KB
testcase_28	AC	2 ms 6,940 KB
testcase_29	AC	2 ms 6,940 KB
testcase_30	AC	3 ms 6,944 KB
testcase_31	AC	1 ms 6,940 KB
testcase_32	AC	2 ms 6,944 KB
testcase_33	AC	2 ms 6,940 KB
testcase_34	AC	44 ms 20,916 KB
testcase_35	AC	2 ms 6,944 KB
testcase_36	AC	2 ms 6,940 KB
testcase_37	AC	2 ms 6,940 KB
testcase_38	AC	2 ms 6,944 KB
testcase_39	AC	2 ms 6,944 KB
testcase_40	AC	53 ms 20,664 KB
testcase_41	AC	48 ms 20,528 KB
testcase_42	AC	32 ms 13,288 KB
testcase_43	AC	44 ms 18,300 KB
testcase_44	AC	53 ms 19,876 KB
testcase_45	AC	51 ms 17,608 KB
testcase_46	AC	41 ms 16,628 KB
testcase_47	AC	24 ms 10,412 KB
testcase_48	AC	33 ms 13,376 KB
testcase_49	AC	39 ms 15,084 KB
testcase_50	AC	36 ms 15,168 KB
testcase_51	AC	37 ms 14,104 KB
testcase_52	AC	47 ms 18,612 KB
testcase_53	AC	54 ms 20,044 KB
testcase_54	AC	34 ms 12,776 KB
testcase_55	AC	119 ms 28,192 KB
testcase_56	AC	108 ms 25,908 KB
testcase_57	AC	113 ms 26,012 KB
testcase_58	AC	117 ms 28,920 KB
testcase_59	AC	110 ms 26,932 KB
testcase_60	AC	110 ms 29,428 KB
testcase_61	AC	117 ms 27,112 KB
testcase_62	AC	129 ms 29,780 KB
testcase_63	AC	117 ms 28,276 KB
testcase_64	AC	103 ms 27,640 KB
testcase_65	AC	54 ms 16,140 KB
testcase_66	AC	61 ms 16,524 KB
testcase_67	AC	64 ms 16,932 KB
testcase_68	AC	117 ms 27,332 KB
testcase_69	AC	85 ms 21,396 KB
testcase_70	AC	115 ms 28,016 KB
testcase_71	AC	44 ms 13,852 KB
testcase_72	AC	83 ms 22,508 KB
testcase_73	AC	119 ms 28,172 KB
testcase_74	AC	110 ms 25,820 KB
testcase_75	AC	18 ms 10,380 KB
testcase_76	AC	15 ms 8,932 KB
testcase_77	AC	63 ms 19,372 KB
testcase_78	AC	76 ms 22,080 KB
testcase_79	AC	12 ms 7,024 KB
testcase_80	AC	14 ms 7,960 KB
testcase_81	AC	24 ms 11,888 KB
testcase_82	AC	26 ms 13,388 KB
testcase_83	AC	31 ms 13,764 KB
61_evil_bias_nocross_01.txt	AC	52 ms 20,564 KB
61_evil_bias_nocross_02.txt	AC	49 ms 21,052 KB
61_evil_bias_nocross_03.txt	AC	32 ms 13,164 KB
61_evil_bias_nocross_04.txt	AC	43 ms 17,376 KB
61_evil_bias_nocross_05.txt	AC	50 ms 20,160 KB
61_evil_bias_nocross_06.txt	AC	51 ms 22,508 KB
61_evil_bias_nocross_07.txt	AC	40 ms 14,108 KB
61_evil_bias_nocross_08.txt	AC	50 ms 18,572 KB
61_evil_bias_nocross_09.txt	AC	52 ms 21,500 KB
61_evil_bias_nocross_10.txt	AC	32 ms 12,776 KB
61_evil_bias_nocross_11.txt	AC	42 ms 16,284 KB
61_evil_bias_nocross_12.txt	AC	50 ms 19,364 KB

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ソースコード

raw source code

#line 1 "Main.cpp"
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#line 4 "nachia\\graph\\graph.hpp"
#include <cassert>
#line 5 "nachia\\array\\csr-array.hpp"

namespace nachia{

template<class Elem>
class CsrArray{
public:
    struct ListRange{
        using iterator = typename std::vector<Elem>::iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        Elem& operator[](int i) const { return begi[i]; }
    };
    struct ConstListRange{
        using iterator = typename std::vector<Elem>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        const Elem& operator[](int i) const { return begi[i]; }
    };
private:
    int m_n;
    std::vector<Elem> m_list;
    std::vector<int> m_pos;
public:
    CsrArray() : m_n(0), m_list(), m_pos() {}
    static CsrArray Construct(int n, const std::vector<std::pair<int, Elem>>& items){
        CsrArray res;
        res.m_n = n;
        std::vector<int> buf(n+1, 0);
        for(auto& [u,v] : items){ ++buf[u]; }
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.m_list.resize(buf[n]);
        for(int i=(int)items.size()-1; i>=0; i--){
            res.m_list[--buf[items[i].first]] = items[i].second;
        }
        res.m_pos = std::move(buf);
        return res;
    }
    static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
        CsrArray res;
        res.m_n = pos.size() - 1;
        res.m_list = std::move(list);
        res.m_pos = std::move(pos);
        return res;
    }
    ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    int size() const { return m_n; }
    int fullSize() const { return (int)m_list.size(); }
};

} // namespace nachia
#line 6 "nachia\\graph\\graph.hpp"

namespace nachia{


struct Graph {
public:
    struct Edge{
        int from, to;
        void reverse(){ std::swap(from, to); }
    };
    using Base = std::vector<std::pair<int, int>>;
    Graph(int n = 0, bool undirected = false) : m_n(n), m_e(), m_isUndir(undirected) {}
    Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){
        m_e.resize(edges.size());
        for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
    }
    Graph(int n, const std::vector<Edge>& edges, bool undirected = false) : m_n(n), m_e(edges), m_isUndir(undirected) {}
    Graph(int n, std::vector<Edge>&& edges, bool undirected = false) : m_n(n), m_e(edges), m_isUndir(undirected) {}
    int numVertices() const noexcept { return m_n; }
    int numEdges() const noexcept { return int(m_e.size()); }
    int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
    Edge& operator[](int ei) noexcept { return m_e[ei]; }
    const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
    Edge& at(int ei) { return m_e.at(ei); }
    const Edge& at(int ei) const { return m_e.at(ei); }
    auto begin(){ return m_e.begin(); }
    auto end(){ return m_e.end(); }
    auto begin() const { return m_e.begin(); }
    auto end() const { return m_e.end(); }
    bool isUndirected() const noexcept { return m_isUndir; }
    void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
    void contract(int newV, const std::vector<int>& mapping){
        assert(numVertices() == int(mapping.size()));
        for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
        for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
    }
    std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
        int n = numVertices();
        assert(n == int(mapping.size()));
        for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
        std::vector<int> indexV(n), newV(num);
        for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = ++newV[mapping[i]];
        std::vector<Graph> res; res.reserve(num);
        for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
        for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
        return res;
    }
    CsrArray<int> getEdgeIndexArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(int i=0; i<numEdges(); i++){
            auto e = operator[](i);
            src.emplace_back(e.from, i);
            if(undirected) src.emplace_back(e.to, i);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
    CsrArray<int> getAdjacencyArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(auto e : m_e){
            src.emplace_back(e.from, e.to);
            if(undirected) src.emplace_back(e.to, e.from);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
    int m_n;
    std::vector<Edge> m_e;
    bool m_isUndir;
};

} // namespace nachia
#line 4 "nachia\\graph\\strongly-connected-components.hpp"

namespace nachia{

struct SCC{
    int m_n;
    CsrArray<int> induce;
    int componentNum;

    SCC() : m_n(0), induce(), componentNum(0) {}
    SCC(Graph E) {
        int n = E.numVertices();
        m_n = n;
        std::vector<int> O(n);
        {
            auto adj = E.getAdjacencyArray();
            int Oi = n;
            std::vector<int> P(n, -1), EI(n, 0);
            for(int s=0; s<n; s++) if(P[s] == -1){
                P[s] = -2;
                int p = s;
                while(p >= 0){
                    if(EI[p] == adj[p].size()){ O[--Oi] = p; p = P[p]; continue; }
                    int q = adj[p][EI[p]++];
                    if(P[q] == -1){ P[q] = p; p = q; }
                }
            }
        }
        E.reverseEdges();
        auto adj = E.getAdjacencyArray();
        std::vector<int> sep = {0}, csr(n), vis(n,0);
        int p1 = 0, p2 = 0;
        for(int s : O) if(!vis[s]){
            csr[p2++] = s; vis[s] = 1;
            for(; p1<p2; p1++){
                int v = csr[p1];
                for(auto e : adj[v]) if(!vis[e]){ vis[e] = 1; csr[p2++] = e; }
            }
            sep.push_back(p2);
        }
        induce = CsrArray<int>::FromRaw(std::move(csr), std::move(sep));
        componentNum = induce.size();
    }

    int numComponent() const { return componentNum; }
    const CsrArray<int>& getCsr() const { return induce; }
};

} // namespace nachia
#line 7 "Main.cpp"

using namespace std;
using i64 = long long;
#define rep(i,n) for(int i=0; i<(int)(n); i++)

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

// グラフの入力・整形

    int N1, N2, N3, M; cin >> N1 >> N2 >> N3 >> M;
    int s = N1+N2+N3, t = N1+N2+N3+1, N = N1+N2+N3+2;
    nachia::Graph graph(N, false);

    if(N1 != 0){
        graph.addEdge(s, 0);
        for(int i=0; i<N1-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1-1, t);
    } else {
        graph.addEdge(s, t);
    }
    
    if(N2 != 0){
        graph.addEdge(s, N1);
        for(int i=N1; i<N1+N2-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1+N2-1, t);
    } else {
        graph.addEdge(s, t);
    }
    
    if(N3 != 0){
        graph.addEdge(s, N1+N2);
        for(int i=N1+N2; i<N1+N2+N3-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1+N2+N3-1, t);
    } else {
        graph.addEdge(s, t);
    }

    rep(i,M){
        int u, v; cin >> u >> v; u--; v--;
        graph.addEdge(u, v);
        graph.addEdge(v, u);
    }

// 強連結成分分解

    auto scc = nachia::SCC(graph).getCsr();
    vector<int> sccid(N);
    rep(i,scc.size()) for(int j : scc[i]) sccid[j] = i;

// 強連結成分の縮約

    N = scc.size();
    s = sccid[s];
    t = sccid[t];
    if(s == t){ cout << "0\n"; return 0; }
    nachia::Graph graph2(N, false);
    for(auto e : graph) if(sccid[e.from] != sccid[e.to]) graph2.addEdge(sccid[e.from], sccid[e.to]);

// 次数 1,1 の頂点を検出

    vector<int> SkipV(N, 0);
    auto adj_graph2u = graph2.getAdjacencyArray(true);
    rep(i,N) if(adj_graph2u[i].size() == 2) SkipV[i] = -1;
    int N4 = 0;
    for(int& i : SkipV) if(i != -1) i = N4++;

// 次数 1,1 の頂点を飛ばしたグラフを作成

    nachia::Graph graph3(N4, false);
    std::vector<i64> W;
    auto adj_graph2d = graph2.getAdjacencyArray(false);
    rep(v, N) if(SkipV[v] != -1) for(int w : adj_graph2d[v]){
        int weight = 1;
        while(SkipV[w] == -1){ w = adj_graph2d[w][0]; weight++; }
        graph3.addEdge(SkipV[v], SkipV[w]);
        W.push_back(weight);
    }

// 数え上げ

    std::vector<i64> partAns(N4-1, 1);
    rep(e,graph3.numEdges()) for(int i=graph3[e].from; i<graph3[e].to; i++) partAns[i] *= W[e];
    i64 ans = 0;
    for(auto w : partAns) ans += w;
    cout << ans << '\n';

    return 0;
}

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結果

テストケース

ソースコード