結果

問題 No.2160 みたりのDominator
ユーザー 👑 NachiaNachia
提出日時 2022-11-29 23:53:10
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 121 ms / 2,000 ms
コード長 9,368 bytes
コンパイル時間 1,465 ms
コンパイル使用メモリ 97,568 KB
実行使用メモリ 30,068 KB
最終ジャッジ日時 2023-08-04 02:49:56
合計ジャッジ時間 8,304 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

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 1 ms
4,384 KB
testcase_01 AC 43 ms
20,724 KB
testcase_02 AC 2 ms
4,384 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,380 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 2 ms
4,384 KB
testcase_08 AC 1 ms
4,384 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 2 ms
4,384 KB
testcase_11 AC 1 ms
4,384 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 2 ms
4,380 KB
testcase_14 AC 1 ms
4,384 KB
testcase_15 AC 2 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 1 ms
4,380 KB
testcase_18 AC 1 ms
4,384 KB
testcase_19 AC 2 ms
4,380 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 2 ms
4,380 KB
testcase_23 AC 2 ms
4,380 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 2 ms
4,384 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 2 ms
4,384 KB
testcase_28 AC 2 ms
4,384 KB
testcase_29 AC 2 ms
4,380 KB
testcase_30 AC 2 ms
4,512 KB
testcase_31 AC 1 ms
4,380 KB
testcase_32 AC 1 ms
4,384 KB
testcase_33 AC 1 ms
4,380 KB
testcase_34 AC 43 ms
23,216 KB
testcase_35 AC 2 ms
4,380 KB
testcase_36 AC 2 ms
4,380 KB
testcase_37 AC 2 ms
4,384 KB
testcase_38 AC 2 ms
4,380 KB
testcase_39 AC 1 ms
4,384 KB
testcase_40 AC 52 ms
21,344 KB
testcase_41 AC 47 ms
20,220 KB
testcase_42 AC 32 ms
13,068 KB
testcase_43 AC 42 ms
17,404 KB
testcase_44 AC 50 ms
20,636 KB
testcase_45 AC 48 ms
17,528 KB
testcase_46 AC 39 ms
16,224 KB
testcase_47 AC 23 ms
10,080 KB
testcase_48 AC 30 ms
12,744 KB
testcase_49 AC 37 ms
14,884 KB
testcase_50 AC 35 ms
15,088 KB
testcase_51 AC 35 ms
14,020 KB
testcase_52 AC 46 ms
18,968 KB
testcase_53 AC 52 ms
19,680 KB
testcase_54 AC 32 ms
12,568 KB
testcase_55 AC 110 ms
28,320 KB
testcase_56 AC 101 ms
26,100 KB
testcase_57 AC 102 ms
26,200 KB
testcase_58 AC 113 ms
29,316 KB
testcase_59 AC 109 ms
27,772 KB
testcase_60 AC 107 ms
29,956 KB
testcase_61 AC 109 ms
27,292 KB
testcase_62 AC 121 ms
30,068 KB
testcase_63 AC 114 ms
28,692 KB
testcase_64 AC 98 ms
27,448 KB
testcase_65 AC 53 ms
15,860 KB
testcase_66 AC 59 ms
16,436 KB
testcase_67 AC 62 ms
17,084 KB
testcase_68 AC 111 ms
27,892 KB
testcase_69 AC 81 ms
22,296 KB
testcase_70 AC 109 ms
27,752 KB
testcase_71 AC 43 ms
13,560 KB
testcase_72 AC 80 ms
22,224 KB
testcase_73 AC 111 ms
27,968 KB
testcase_74 AC 106 ms
26,376 KB
testcase_75 AC 17 ms
10,316 KB
testcase_76 AC 14 ms
8,920 KB
testcase_77 AC 60 ms
19,508 KB
testcase_78 AC 74 ms
21,804 KB
testcase_79 AC 11 ms
7,184 KB
testcase_80 AC 12 ms
7,828 KB
testcase_81 AC 22 ms
11,700 KB
testcase_82 AC 25 ms
14,168 KB
testcase_83 AC 29 ms
12,964 KB
61_evil_bias_nocross_01.txt AC 52 ms
20,864 KB
61_evil_bias_nocross_02.txt AC 48 ms
20,660 KB
61_evil_bias_nocross_03.txt AC 31 ms
12,992 KB
61_evil_bias_nocross_04.txt AC 41 ms
17,108 KB
61_evil_bias_nocross_05.txt AC 49 ms
20,416 KB
61_evil_bias_nocross_06.txt AC 50 ms
21,052 KB
61_evil_bias_nocross_07.txt AC 34 ms
14,016 KB
61_evil_bias_nocross_08.txt AC 46 ms
18,640 KB
61_evil_bias_nocross_09.txt AC 48 ms
19,688 KB
61_evil_bias_nocross_10.txt AC 30 ms
12,660 KB
61_evil_bias_nocross_11.txt AC 40 ms
16,664 KB
61_evil_bias_nocross_12.txt AC 47 ms
19,408 KB
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ソースコード

diff #

#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);

    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);
    }

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

    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);
    }

    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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