#581274 (C++17) No.529 帰省ラッシュ

提出ソース

結果

問題	No.529 帰省ラッシュ
ユーザー	Forested
提出日時	2020-11-19 18:13:57
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	256 ms / 4,500 ms
コード長	10,652 bytes
コンパイル時間	2,790 ms
コンパイル使用メモリ	223,656 KB
実行使用メモリ	32,768 KB
最終ジャッジ日時	2024-07-23 10:08:52
合計ジャッジ時間	8,372 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 6,812 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	4 ms 6,944 KB
testcase_05	AC	4 ms 6,940 KB
testcase_06	AC	4 ms 6,940 KB
testcase_07	AC	4 ms 6,944 KB
testcase_08	AC	182 ms 15,744 KB
testcase_09	AC	170 ms 16,256 KB
testcase_10	AC	199 ms 21,632 KB
testcase_11	AC	214 ms 21,888 KB
testcase_12	AC	144 ms 16,768 KB
testcase_13	AC	171 ms 32,768 KB
testcase_14	AC	160 ms 19,328 KB
testcase_15	AC	256 ms 24,100 KB
testcase_16	AC	252 ms 24,164 KB
testcase_17	AC	231 ms 30,592 KB
testcase_18	AC	248 ms 30,832 KB
testcase_19	AC	234 ms 28,940 KB

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ソースコード

raw source code

// Template
#include "bits/stdc++.h"
#define rep_override(x, y, z, name, ...) name
#define rep2(i, n) for (int i = 0; i < (int)(n); ++i)
#define rep3(i, l, r) for (int i = (int)(l); i < (int)(r); ++i)
#define rep(...) rep_override(__VA_ARGS__, rep3, rep2)(__VA_ARGS__)
#define per(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define all(x) (x).begin(), (x).end()
using namespace std;
using ll = long long;
constexpr int inf = 1001001001;
constexpr ll INF = 3003003003003003003LL;
template <typename T>
inline bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T> 
inline bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
struct IOSET {
    IOSET() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(10);
    }
} ioset;
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
    for (T &element : vec) is >> element;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &vec) {
    for (int i = 0, vec_len = (int)vec.size(); i < vec_len; ++i) {
        os << vec[i] << (i + 1 == vec_len ? "" : " ");
    }
    return os;
}

// Two Edge Connected Components
#include <vector>
#include <stack>

template <typename G>
class TwoEdgeConnectedComponents {
    const G &g;
    
    std::stack<int> st0, st1;
    std::vector<int> order;
    int t;
    
    void dfs(int v, int p) {
        order[v] = t++;
        st0.push(v);
        st1.push(v);
        
        bool pcnt = false;
        for (int u : g[v]) {
            if (order[u] == -1) {
                dfs(u, v);
            } else {
                if (u == p && !pcnt) {
                    pcnt = true;
                    continue;
                }
                while (order[st1.top()] > order[u]) {
                    st1.pop();
                }
            }
        }
        
        if (st1.top() == v) {
            while (true) {
                int x = st0.top();
                st0.pop();
                comp[x] = k;
                if (x == v) {
                    break;
                }
            }
            ++k;
            st1.pop();
        }
    }
    
public:
    std::vector<int> comp;
    int k;
    
    TwoEdgeConnectedComponents(const G &_g) : g(_g) {
        build();
    }
    
    void build() {
        int sz = g.size();
        order.assign(sz, -1);
        comp.assign(sz, -1);
        t = 0;
        k = 0;
        for (int i = 0; i < sz; ++i) {
            if (order[i] == -1) {
                dfs(i, -1);
            }
        }
    }
};

// Graph
#include <vector>
#include <iostream>

template <typename E>
class Graph {
    std::vector<std::vector<E>> g;
    
public:
    Graph() : g(0) {}
    
    Graph(int n) : g(n) {}
    
    Graph(int n, int m) : g(n) {
        while (m--) {
            int v;
            E e;
            std::cin >> v >> e;
            add_edge(v, e);
        }
    }
    
    int size() const {
        return (int)g.size();
    }
    
    void add_edge(int from, const E &edge) {
        g[from].push_back(edge);
    }
    
    const std::vector<E> &operator[](int v) const {
        return g[v];
    }
    
    std::vector<E> &operator[](int v) {
        return g[v];
    }
};

template <typename T>
struct Wedge {
    int to;
    T cost;
    
    Wedge(int _to, T _cost) : to(_to), cost(_cost) {}
    
    operator int() const {
        return to;
    }
};

template <typename T>
std::istream &operator>>(std::istream &is, Wedge<T> &e) {
    is >> e.to >> e.cost;
    return is;
}

// Heavy-Light Decomposition
#include <vector>
#include <utility>

template <typename G>
struct HeavyLightDecomposition {
    G &g;
    std::vector<int> sz, par, head, in, rin;
    
    HeavyLightDecomposition(G &_g) : g(_g) {
        build();
    }
    
    void build() {
        sz.assign(g.size(), 0);
        par.assign(g.size(), 0);
        dfs_size(0, -1);
        head.assign(g.size(), 0);
        in.assign(g.size(), 0);
        rin.assign(g.size(), 0);
        int t = 0;
        dfs_hld(0, -1, t);
    }
    
    int lca(int u, int v) {
        while (true) {
            if (in[u] > in[v]) {
                std::swap(u, v);
            }
            if (head[u] == head[v]) {
                return u;
            }
            v = par[head[v]];
        }
    }
    
    template <typename T, typename F0, typename F1>
    T query(int u, int v, const T &identity, const F0 &f0, const F1 &f1, bool edge) {
        T _u = identity, _v = identity;
        while (true) {
            if (in[u] > in[v]) {
                std::swap(u, v);
                std::swap(_u, _v);
            }
            if (head[u] == head[v]) {
                break;
            }
            _v = f1(f0(in[head[v]], in[v] + 1), _v);
            v = par[head[v]];
        }
        return f1(f1(f0(in[u] + edge, in[v] + 1), _v), _u);
    }
    
    template <typename F>
    void update(int u, int v, const F &f, bool edge) {
        while (true) {
            if (in[u] > in[v]) {
                std::swap(u, v);
            }
            if (head[u] == head[v]) {
                break;
            }
            f(in[head[v]], in[v] + 1);
            v = par[head[v]];
        }
        f(in[u] + edge, in[v] + 1);
    }
    
private:
    void dfs_size(int v, int p) {
        par[v] = p;
        sz[v] = 1;
        int l = g[v].size();
        if (l && (int)g[v][0] == p) std::swap(g[v][0], g[v][l - 1]);
        for (int i = 0; i < l; ++i) {
            if ((int)g[v][i] == p) {
                continue;
            }
            dfs_size((int)g[v][i], v);
            sz[v] += sz[(int)g[v][i]];
            if (sz[(int)g[v][i]] > sz[(int)g[v][0]]) {
                std::swap(g[v][0], g[v][i]);
            }
        }
    }
    
    void dfs_hld(int v, int p, int &t) {
        in[v] = t++;
        rin[in[v]] = v;
        int l = g[v].size();
        for (int i = 0; i < l; ++i) {
            if ((int)g[v][i] == p) {
                continue;
            }
            head[(int)g[v][i]] = (i ? (int)g[v][i] : head[v]);
            dfs_hld((int)g[v][i], v, t);
        }
    }
};

// Segment Tree
#include <vector>
#include <cassert>

template <typename Operator>
struct SegmentTree {
    using NodeType = decltype(Operator::identity());
    int length, n_;
    std::vector<NodeType> node;
    
    SegmentTree(int n) {
        assert(n >= 0);
        n_ = n;
        length = 1;
        while (length < n) length <<= 1;
        node.assign(length << 1, Operator::identity());
    }
    
    SegmentTree(int n, NodeType x) {
        assert(n >= 0);
        n_ = n;
        length = 1;
        while (length < n) length <<= 1;
        node.assign(length << 1, x);
        for (int i = length - 1; i > 0; --i) node[i] = Operator::func(node[(i << 1) | 0], node[(i << 1) | 1]);
    }
    
    SegmentTree(std::vector<NodeType> &vec) : n_((int)vec.size()) {
        length = 1;
        while (length < (int)vec.size()) length <<= 1;
        node.assign(2 * length, Operator::identity());
        for (int i = 0; i < (int)vec.size(); ++i) node[i + length] = vec[i];
        for (int i = length - 1; i > 0; --i) node[i] = Operator::func(node[(i << 1) | 0], node[(i << 1) | 1]);
    }
    
    void update(int idx, NodeType val) {
        assert(idx >= 0 && idx < n_);
        idx += length;
        node[idx] = val;
        while (idx >>= 1) node[idx] = Operator::func(node[(idx << 1) | 0], node[(idx << 1) | 1]);
    }
    
    NodeType get(int l, int r) {
        assert(l >= 0 && l <= n_ && r >= 0 && r <= n_ && l <= r);
        l += length;
        r += length;
        NodeType vl = Operator::identity(), vr = Operator::identity();
        while (r > l) {
            if (l & 1) vl = Operator::func(vl, node[l++]);
            if (r & 1) vr = Operator::func(node[--r], vr);
            l >>= 1;
            r >>= 1;
        }
        return Operator::func(vl, vr);
    }
    
    template <typename F>
    int max_right(int l, F f) {
        assert(l >= 0 && l < n_);
        l += length;
        NodeType sum = Operator::identity();
        do {
            while (!(l & 1)) l >>= 1;
            if (!f(Operator::func(sum, node[l]))) {
                while (l < length) {
                    l <<= 1;
                    if (f(Operator::func(sum, node[l]))) {
                        sum = Operator::func(sum, node[l]);
                        ++l;
                    }
                }
                return l - length;
            }
            sum = Operator::func(sum, node[l]);
            ++l;
        } while ((l & -l) != l);
        return n_;
    }
};

// Main
struct RMQ {
    using NodeType = pair<int, int>;
    static NodeType identity() {
        return pair<int, int>(0, 0);
    }
    static NodeType func(NodeType x, NodeType y) {
        return max(x, y);
    }
};

int main() {
    int n, m, q;
    cin >> n >> m >> q;
    Graph<int> g(n);
    rep(i, m) {
        int a, b;
        cin >> a >> b;
        --a;
        --b;
        g.add_edge(a, b);
        g.add_edge(b, a);
    }
    
    TwoEdgeConnectedComponents<Graph<int>> c(g);
    Graph<int> tree(c.k);
    rep(i, n) for (int j : g[i]) {
        if (c.comp[i] != c.comp[j]) tree.add_edge(c.comp[i], c.comp[j]);
    }
    
    HeavyLightDecomposition<Graph<int>> hld(tree);
    SegmentTree<RMQ> seg(c.k);
    vector<priority_queue<int>> pq(c.k);
    
    while (q--) {
        int t;
        cin >> t;
        if (t == 1) {
            int u, w;
            cin >> u >> w;
            --u;
            u = c.comp[u];
            int old = 0;
            if (!pq[u].empty()) old = pq[u].top();
            pq[u].push(w);
            if (w > old) {
                seg.update(hld.in[u], pair<int, int>(w, u));
            }
        } else {
            int s, t;
            cin >> s >> t;
            --s;
            --t;
            s = c.comp[s];
            t = c.comp[t];
            auto f0 = [&](int x, int y) -> RMQ::NodeType {
                return seg.get(x, y);
            };
            auto f1 = [&](RMQ::NodeType x, RMQ::NodeType y) -> RMQ::NodeType {
                return RMQ::func(x, y);
            };
            RMQ::NodeType p = hld.query(s, t, RMQ::identity(), f0, f1, false);
            if (p.first == 0) {
                cout << "-1\n";
            } else {
                cout << p.first << "\n";
                pq[p.second].pop();
                seg.update(hld.in[p.second], pair<int, int>((pq[p.second].empty() ? 0 : pq[p.second].top()), p.second));
            }
        }
    }
}

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結果

テストケース

ソースコード