#826255 (C++17) No.5011 Better Mo's Algorithm is Needed!! (Weighted)

提出ソース

結果

問題	No.5011 Better Mo's Algorithm is Needed!! (Weighted)
ユーザー	👑 Nachia
提出日時	2022-12-17 00:14:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	708 ms / 5,000 ms
コード長	12,578 bytes
コンパイル時間	1,807 ms
実行使用メモリ	28,700 KB
スコア	34,379,656,960
最終ジャッジ日時	2022-12-17 00:16:21
合計ジャッジ時間	124,941 ms
ジャッジサーバーID （参考情報）	judge11 / judge12
	純コード判定しない問題か言語

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	645 ms 28,644 KB
testcase_01	AC	664 ms 28,652 KB
testcase_02	AC	663 ms 28,636 KB
testcase_03	AC	655 ms 28,632 KB
testcase_04	AC	641 ms 28,680 KB
testcase_05	AC	658 ms 28,628 KB
testcase_06	AC	640 ms 28,644 KB
testcase_07	AC	631 ms 28,440 KB
testcase_08	AC	675 ms 28,588 KB
testcase_09	AC	647 ms 28,648 KB
testcase_10	AC	674 ms 28,512 KB
testcase_11	AC	647 ms 28,652 KB
testcase_12	AC	684 ms 28,648 KB
testcase_13	AC	658 ms 28,632 KB
testcase_14	AC	685 ms 28,600 KB
testcase_15	AC	648 ms 28,636 KB
testcase_16	AC	651 ms 28,556 KB
testcase_17	AC	689 ms 28,612 KB
testcase_18	AC	637 ms 28,612 KB
testcase_19	AC	652 ms 28,544 KB
testcase_20	AC	677 ms 28,636 KB
testcase_21	AC	657 ms 28,620 KB
testcase_22	AC	663 ms 28,532 KB
testcase_23	AC	653 ms 28,592 KB
testcase_24	AC	651 ms 28,508 KB
testcase_25	AC	651 ms 28,656 KB
testcase_26	AC	655 ms 28,588 KB
testcase_27	AC	662 ms 28,632 KB
testcase_28	AC	679 ms 28,512 KB
testcase_29	AC	648 ms 28,508 KB
testcase_30	AC	668 ms 28,524 KB
testcase_31	AC	628 ms 28,528 KB
testcase_32	AC	661 ms 28,700 KB
testcase_33	AC	657 ms 28,560 KB
testcase_34	AC	664 ms 28,588 KB
testcase_35	AC	652 ms 28,632 KB
testcase_36	AC	647 ms 28,588 KB
testcase_37	AC	681 ms 28,648 KB
testcase_38	AC	648 ms 28,584 KB
testcase_39	AC	670 ms 28,592 KB
testcase_40	AC	663 ms 28,644 KB
testcase_41	AC	667 ms 28,512 KB
testcase_42	AC	653 ms 28,528 KB
testcase_43	AC	643 ms 28,508 KB
testcase_44	AC	642 ms 28,652 KB
testcase_45	AC	664 ms 28,592 KB
testcase_46	AC	671 ms 28,560 KB
testcase_47	AC	666 ms 28,564 KB
testcase_48	AC	648 ms 28,652 KB
testcase_49	AC	660 ms 28,512 KB
testcase_50	AC	679 ms 28,652 KB
testcase_51	AC	661 ms 28,592 KB
testcase_52	AC	660 ms 28,524 KB
testcase_53	AC	656 ms 28,592 KB
testcase_54	AC	661 ms 28,556 KB
testcase_55	AC	651 ms 28,652 KB
testcase_56	AC	657 ms 28,648 KB
testcase_57	AC	659 ms 28,508 KB
testcase_58	AC	656 ms 28,520 KB
testcase_59	AC	660 ms 28,608 KB
testcase_60	AC	685 ms 28,584 KB
testcase_61	AC	662 ms 28,588 KB
testcase_62	AC	658 ms 28,588 KB
testcase_63	AC	658 ms 28,504 KB
testcase_64	AC	673 ms 28,588 KB
testcase_65	AC	646 ms 28,588 KB
testcase_66	AC	645 ms 28,556 KB
testcase_67	AC	647 ms 28,512 KB
testcase_68	AC	654 ms 28,648 KB
testcase_69	AC	664 ms 28,588 KB
testcase_70	AC	669 ms 28,636 KB
testcase_71	AC	708 ms 28,584 KB
testcase_72	AC	664 ms 28,632 KB
testcase_73	AC	667 ms 28,516 KB
testcase_74	AC	664 ms 28,516 KB
testcase_75	AC	674 ms 28,560 KB
testcase_76	AC	652 ms 28,592 KB
testcase_77	AC	656 ms 28,628 KB
testcase_78	AC	647 ms 28,516 KB
testcase_79	AC	657 ms 28,636 KB
testcase_80	AC	649 ms 28,564 KB
testcase_81	AC	675 ms 28,516 KB
testcase_82	AC	672 ms 28,508 KB
testcase_83	AC	668 ms 28,632 KB
testcase_84	AC	661 ms 28,616 KB
testcase_85	AC	666 ms 28,520 KB
testcase_86	AC	672 ms 28,584 KB
testcase_87	AC	658 ms 28,648 KB
testcase_88	AC	705 ms 28,592 KB
testcase_89	AC	653 ms 28,632 KB
testcase_90	AC	686 ms 28,592 KB
testcase_91	AC	637 ms 28,524 KB
testcase_92	AC	678 ms 28,616 KB
testcase_93	AC	651 ms 28,520 KB
testcase_94	AC	683 ms 28,508 KB
testcase_95	AC	649 ms 28,584 KB
testcase_96	AC	655 ms 28,608 KB
testcase_97	AC	660 ms 28,636 KB
testcase_98	AC	656 ms 28,516 KB
testcase_99	AC	687 ms 28,520 KB
testcase_100	AC	650 ms 28,592 KB
testcase_101	AC	662 ms 28,612 KB
testcase_102	AC	652 ms 28,616 KB
testcase_103	AC	641 ms 28,512 KB
testcase_104	AC	645 ms 28,632 KB
testcase_105	AC	685 ms 28,520 KB
testcase_106	AC	656 ms 28,592 KB
testcase_107	AC	675 ms 28,632 KB
testcase_108	AC	661 ms 28,564 KB
testcase_109	AC	658 ms 28,656 KB
testcase_110	AC	658 ms 28,512 KB
testcase_111	AC	661 ms 28,512 KB
testcase_112	AC	658 ms 28,560 KB
testcase_113	AC	654 ms 28,620 KB
testcase_114	AC	662 ms 28,520 KB
testcase_115	AC	651 ms 28,516 KB
testcase_116	AC	632 ms 28,328 KB
testcase_117	AC	661 ms 28,636 KB
testcase_118	AC	690 ms 28,516 KB
testcase_119	AC	651 ms 28,644 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>
#include <atcoder/modint>

#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, 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]] = std::move(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 addNode() noexcept { return m_n++; }
    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 5 "nachia\\tree\\heavy-light-decomposition.hpp"

namespace nachia{

struct HeavyLightDecomposition{
private:

    int N;
    std::vector<int> P;
    std::vector<int> PP;
    std::vector<int> PD;
    std::vector<int> D;
    std::vector<int> I;

    std::vector<int> rangeL;
    std::vector<int> rangeR;

public:

    HeavyLightDecomposition(const CsrArray<int>& E = CsrArray<int>::Construct(1, {}), int root = 0){
        N = E.size();
        P.assign(N, -1);
        I = {root};
        I.reserve(N);
        for(int i=0; i<(int)I.size(); i++){
            int p = I[i];
            for(int e : E[p]) if(P[p] != e){
                I.push_back(e);
                P[e] = p;
            }
        }
        std::vector<int> Z(N, 1);
        std::vector<int> nx(N, -1);
        PP.resize(N);
        for(int i=0; i<N; i++) PP[i] = i;
        for(int i=N-1; i>=1; i--){
            int p = I[i];
            Z[P[p]] += Z[p];
            if(nx[P[p]] == -1) nx[P[p]] = p;
            if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p;
        }

        for(int p : I) if(nx[p] != -1) PP[nx[p]] = p;

        PD.assign(N,N);
        PD[root] = 0;
        D.assign(N,0);
        for(int p : I) if(p != root){
            PP[p] = PP[PP[p]];
            PD[p] = std::min(PD[PP[p]], PD[P[p]]+1);
            D[p] = D[P[p]]+1;
        }
        
        rangeL.assign(N,0);
        rangeR.assign(N,0);
        
        for(int p : I){
            rangeR[p] = rangeL[p] + Z[p];
            int ir = rangeR[p];
            for(int e : E[p]) if(P[p] != e) if(e != nx[p]){
                rangeL[e] = (ir -= Z[e]);
            }
            if(nx[p] != -1){
                rangeL[nx[p]] = rangeL[p] + 1;
            }
        }

        I.resize(N);
        for(int i=0; i<N; i++) I[rangeL[i]] = i;
    }

    int depth(int p) const { return D[p]; }
    int to_seq(int vertex) const { return rangeL[vertex]; }
    int to_vtx(int seqidx) const { return I[seqidx]; }
    int parent_of(int v) const { return P[v]; }
    int heavy_root_of(int v) const { return PP[v]; }
    int heavy_child_of(int v) const {
        if(to_seq(v) == N-1) return -1;
        int cand = to_vtx(to_seq(v) + 1);
        if(PP[v] == PP[cand]) return cand;
        return -1;
    }

    int lca(int u, int v) const {
        if(PD[u] < PD[v]) std::swap(u, v);
        while(PD[u] > PD[v]) u = P[PP[u]];
        while(PP[u] != PP[v]){ u = P[PP[u]]; v = P[PP[v]]; }
        return (D[u] > D[v]) ? v : u;
    }

    int dist(int u, int v) const {
        return depth(u) + depth(v) - depth(lca(u,v)) * 2;
    }

    std::vector<std::pair<int,int>> path(int r, int c, bool include_root = true, bool reverse_path = false) const {
        if(PD[c] < PD[r]) return {};
        std::vector<std::pair<int,int>> res(PD[c]-PD[r]+1);
        for(int i=0; i<(int)res.size()-1; i++){
            res[i] = std::make_pair(rangeL[PP[c]], rangeL[c]+1);
            c = P[PP[c]];
        }
        if(PP[r] != PP[c] || D[r] > D[c]) return {};
        res.back() = std::make_pair(rangeL[r]+(include_root?0:1), rangeL[c]+1);
        if(res.back().first == res.back().second) res.pop_back();
        if(!reverse_path) std::reverse(res.begin(),res.end());
        else for(auto& a : res) a = std::make_pair(N - a.second, N - a.first);
        return res;
    }

    std::pair<int,int> subtree(int p){
        return std::make_pair(rangeL[p], rangeR[p]);
    }

    int median(int x, int y, int z) const {
        return lca(x,y) ^ lca(y,z) ^ lca(x,z);
    }

    int la(int from, int to, int d) const {
        if(d < 0) return -1;
        int g = lca(from,to);
        int dist0 = D[from] - D[g] * 2 + D[to];
        if(dist0 < d) return -1;
        int p = from;
        if(D[from] - D[g] < d){ p = to; d = dist0 - d; }
        while(D[p] - D[PP[p]] < d){
            d -= D[p] - D[PP[p]] + 1;
            p = P[PP[p]];
        }
        return I[rangeL[p] - d];
    }
};

} // namespace nachia
#line 10 "Main.cpp"

using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
#define rep(i,n) for(int i=0; i<(int)(n); i++)
const i64 INF = 1001001001001001001;

using Modint = atcoder::static_modint<998244353>;

#include <map>


pair<i64, vector<pair<int, int>>> ManhattanMST(const vector<pair<i64, i64>>& pos) {
    auto dist = [&pos](int a, int b)->i64 {
        return abs(pos[a].first - pos[b].first) + abs(pos[a].second - pos[b].second);
    };
    int n = pos.size();
    using POS2 = pair<i64, i64>;
    vector<POS2> P(n);
    rep(i, n) P[i] = make_pair(pos[i].first + pos[i].second, pos[i].first - pos[i].second);
    vector<int> I(n);
    rep(i, n) I[i] = i;
    vector<pair<i64, pair<int, int>>> res;
    rep(s, 2) {
        rep(t, 2) {
            sort(I.begin(), I.end(), [&P](int l, int r) { return P[l].first < P[r].first; });
            map<i64, int> G;
            for (auto i : I) {
                for (auto ig = G.lower_bound(-P[i].first - P[i].second);
                    ig != G.end();  ig = G.erase(ig))
                {
                    int j = ig->second;
                    if (P[i].second > P[j].second) break;
                    res.emplace_back(dist(i, j), make_pair(i, j));
                }
                G[-P[i].first - P[i].second] = i;
            }
            rep(i, n) swap(P[i].first, P[i].second);
        }
        rep(i, n) P[i].first = -P[i].first;
    }
    struct DSU {
        vector<int> A;
        DSU(int n) { A.assign(n, -1); }
        int leader(int a) {
            if (A[a] < 0) return a;
            return A[a] = leader(A[a]);
        }
        void merge(int a, int b) {
            a = leader(a);
            b = leader(b);
            if (a == b) return;
            A[a] = b;
        }
    } dsu(n);
    sort(res.begin(), res.end());
    i64 ans_val = 0;
    vector<pair<int, int>> ans;
    for (auto e : res) {
        if (dsu.leader(e.second.first) == dsu.leader(e.second.second)) continue;
        ans_val += e.first;
        ans.push_back(e.second);
        dsu.merge(e.second.first, e.second.second);
    }
    return make_pair(ans_val, move(ans));
}

int main(){
    int N, Q, WT, ST; cin >> N >> Q >> WT >> ST;
    vector<i64> W(N+1); rep(i,N){ i64 w; cin >> w; W[i+1] = W[i] + w; }
    vector<pair<i64, i64>> pos(Q);
    rep(i,Q){
        int l,r; cin >> l >> r; l--;
        pos[i] = { W[l], W[r] };
    }
    nachia::Graph g(Q, true);
    for(auto [u,v] : ManhattanMST(pos).second) g.addEdge(u,v);
    nachia::HeavyLightDecomposition hld(g.getAdjacencyArray());
    rep(i,Q){
        if(i) cout << ' ';
        cout << (hld.to_vtx(i) + 1);
    }
    cout << '\n';
    return 0;
}


struct ios_do_not_sync{
    ios_do_not_sync(){
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
    }
} ios_do_not_sync_instance;

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結果

テストケース

ソースコード