#581291 (C++17) No.1197 モンスターショー

提出ソース

結果

問題	No.1197 モンスターショー
ユーザー	Forested
提出日時	2020-11-19 19:14:15
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	495 ms / 3,000 ms
コード長	12,649 bytes
コンパイル時間	2,717 ms
コンパイル使用メモリ	220,496 KB
実行使用メモリ	20,480 KB
最終ジャッジ日時	2024-07-23 10:11:24
合計ジャッジ時間	14,430 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

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 6,820 KB
testcase_01	AC	2 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,940 KB
testcase_07	AC	77 ms 18,432 KB
testcase_08	AC	149 ms 9,600 KB
testcase_09	AC	182 ms 14,848 KB
testcase_10	AC	273 ms 14,464 KB
testcase_11	AC	182 ms 6,944 KB
testcase_12	AC	149 ms 6,944 KB
testcase_13	AC	74 ms 9,984 KB
testcase_14	AC	281 ms 10,240 KB
testcase_15	AC	204 ms 6,940 KB
testcase_16	AC	295 ms 16,000 KB
testcase_17	AC	337 ms 16,128 KB
testcase_18	AC	118 ms 7,168 KB
testcase_19	AC	263 ms 14,464 KB
testcase_20	AC	54 ms 6,944 KB
testcase_21	AC	171 ms 6,944 KB
testcase_22	AC	18 ms 6,940 KB
testcase_23	AC	296 ms 10,624 KB
testcase_24	AC	220 ms 10,624 KB
testcase_25	AC	133 ms 8,960 KB
testcase_26	AC	274 ms 9,216 KB
testcase_27	AC	316 ms 15,360 KB
testcase_28	AC	242 ms 9,472 KB
testcase_29	AC	186 ms 10,368 KB
testcase_30	AC	129 ms 11,136 KB
testcase_31	AC	117 ms 9,728 KB
testcase_32	AC	102 ms 6,940 KB
testcase_33	AC	68 ms 8,832 KB
testcase_34	AC	495 ms 16,512 KB
testcase_35	AC	475 ms 16,640 KB
testcase_36	AC	477 ms 16,640 KB
testcase_37	AC	488 ms 16,640 KB
testcase_38	AC	473 ms 16,640 KB
testcase_39	AC	483 ms 16,640 KB
testcase_40	AC	273 ms 20,480 KB
testcase_41	AC	2 ms 6,944 KB
testcase_42	AC	2 ms 6,940 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, dep;
    
    HeavyLightDecomposition(G &_g) : g(_g) {
        build();
    }
    
    void build() {
        sz.assign(g.size(), 0);
        par.assign(g.size(), 0);
        dep.assign(g.size(), 0);
        dfs_size(0, -1, 0);
        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, int d) {
        par[v] = p;
        sz[v] = 1;
        dep[v] = d;
        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, d + 1);
            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);
        }
    }
};

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

template <typename Operator>
class LazySegmentTree {
    using NodeType = decltype(Operator::node_identity());
    using FuncType = decltype(Operator::func_identity());
    int length, height, n_;
    std::vector<NodeType> node;
    std::vector<FuncType> lazy;
    std::vector<int> width;
    
    void eval(int n) {
        node[n] = Operator::node_func(node[n], lazy[n], width[n]);
        if (n < length) {
            lazy[(n << 1) | 0] = Operator::merge_func(lazy[(n << 1) | 0], lazy[n]);
            lazy[(n << 1) | 1] = Operator::merge_func(lazy[(n << 1) | 1], lazy[n]);
        }
        lazy[n] = Operator::func_identity();
    }
    
public:
    LazySegmentTree(int n) {
        assert(n >= 0);
        n_ = n;
        length = 1;
        height = 0;
        while (length < n) {
            length <<= 1;
            ++height;
        }
        node.resize(length << 1, Operator::node_identity());
        lazy.resize(length << 1, Operator::func_identity());
        width.resize(length << 1, 1);
        for (int i = length - 1; i > 0; --i) width[i] = width[i << 1] << 1;
    }
    
    LazySegmentTree(int n, NodeType x) {
        assert(n >= 0);
        n_ = n;
        length = 1;
        height = 0;
        while (length < n) {
            length <<= 1;
            ++height;
        }
        node.resize(length << 1, x);
        for (int i = length - 1; i > 0; --i) node[i] = Operator::merge_node(node[(i << 1) | 0], node[(i << 1) | 1]);
        lazy.resize(length << 1, Operator::func_identity());
        width.resize(length << 1, 1);
        for (int i = length - 1; i > 0; --i) width[i] = width[i << 1] << 1;
    }
    
    LazySegmentTree(std::vector<NodeType> &vec) : n_((int)vec.size()) {
        length = 1;
        height = 0;
        while (length < (int)vec.size()) {
            length <<= 1;
            ++height;
        }
        node.resize(length << 1, Operator::node_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::merge_node(node[(i << 1) | 0], node[(i << 1) | 1]);
        lazy.resize(length << 1, Operator::func_identity());
        width.resize(length << 1, 1);
        for (int i = length - 1; i > 0; --i) width[i] = width[i << 1] << 1;
    }
    
    void update(int a, int b, FuncType x) {
        assert(a >= 0 && a <= n_ && b >= 0 && b <= n_ && a <= b);
        int l = a + length, r = b + length - 1;
        for (int i = height; i > 0; --i) {
            eval(l >> i);
            eval(r >> i);
        }
        ++r;
        while (r > l) {
            if (l & 1) {
                lazy[l] = Operator::merge_func(lazy[l], x);
                eval(l);
                ++l;
            }
            if (r & 1) {
                --r;
                lazy[r] = Operator::merge_func(lazy[r], x);
                eval(r);
            }
            l >>= 1; r >>= 1;
        }
        l = a + length; r = b + length - 1;
        while (l >>= 1) node[l] = Operator::merge_node(Operator::node_func(node[(l << 1) | 0], lazy[(l << 1) | 0], width[(l << 1) | 0]), Operator::node_func(node[(l << 1) | 1], lazy[(l << 1) | 1], width[(l << 1) | 1]));
        while (r >>= 1) node[r] = Operator::merge_node(Operator::node_func(node[(r << 1) | 0], lazy[(r << 1) | 0], width[(r << 1) | 0]), Operator::node_func(node[(r << 1) | 1], lazy[(r << 1) | 1], width[(r << 1) | 1]));
    }
    
    void update(int idx, NodeType x) {
        assert(idx >= 0 && idx < n_);
        idx += length;
        for (int i = height; i >= 0; --i) eval(idx >> i);
        node[idx] = x;
        while (idx >>= 1) node[idx] = Operator::merge_node(Operator::node_func(node[(idx << 1) | 0], lazy[(idx << 1) | 0], width[(idx << 1) | 0]), Operator::node_func(node[(idx << 1) | 1], lazy[(idx << 1) | 1], width[(idx << 1) | 1]));
    }
    
    NodeType get(int a, int b) {
        assert(a >= 0 && a <= n_ && b >= 0 && b <= n_ && a <= b);
        int l = a + length, r = b + length - 1;
        for (int i = height; i >= 0; --i) {
            eval(l >> i);
            eval(r >> i);
        }
        ++r;
        NodeType vl = Operator::node_identity(), vr = Operator::node_identity();
        while (l < r) {
            if (l & 1) {
                vl = Operator::merge_node(vl, Operator::node_func(node[l], lazy[l], width[l]));
                ++l;
            }
            if (r & 1) {
                --r;
                vr = Operator::merge_node(Operator::node_func(node[r], lazy[r], width[r]), vr);
            }
            l >>= 1; r >>= 1;
        }
        return Operator::merge_node(vl, vr);
    }
};

// Main
struct RSQ {
    using NodeType = ll;
    using FuncType = ll;
    static NodeType node_identity() {
        return 0;
    }
    static FuncType func_identity() {
        return 0;
    }
    static NodeType merge_node(NodeType x, NodeType y) {
        return x + y;
    }
    static FuncType merge_func(FuncType x, FuncType y) {
        return x + y;
    }
    static NodeType node_func(NodeType x, FuncType y, int len) {
        return x + y * len;
    }
};

int main() {
    int n, k, q;
    cin >> n >> k >> q;
    vector<int> c(k);
    rep(i, k) {
        cin >> c[i];
        --c[i];
    }
    Graph<int> g(n);
    rep(i, n - 1) {
        int a, b;
        cin >> a >> b;
        --a;
        --b;
        g.add_edge(a, b);
        g.add_edge(b, a);
    }
    
    HeavyLightDecomposition<Graph<int>> hld(g);
    LazySegmentTree<RSQ> seg(n);
    rep(i, k) hld.update(0, c[i], [&](int x, int y) {seg.update(x, y, 1);}, true);
    ll sum = 0;
    rep(i, k) sum += hld.dep[c[i]];
    rep(i, q) {
        int t;
        cin >> t;
        if (t == 1) {
            int p, d;
            cin >> p >> d;
            --p;
            --d;
            hld.update(0, c[p], [&](int x, int y) {seg.update(x, y, -1);}, true);
            hld.update(0, d, [&](int x, int y) {seg.update(x, y, 1);}, true);
            sum -= hld.dep[c[p]];
            sum += hld.dep[d];
            c[p] = d;
        } else {
            int e;
            cin >> e;
            --e;
            cout << sum + (ll)hld.dep[e] * k - hld.query(0, e, 0LL, [&](int x, int y) {return seg.get(x, y);}, [&](ll x, ll y) {return x + y;}, true) * 2 << "\n";
        }
    }
}

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結果

テストケース

ソースコード