#959391 (C++23) No.901 K-ary εxtrεεmε

提出ソース
結果

問題	No.901 K-ary εxtrεεmε
ユーザー	ebi_fly
提出日時	2024-03-12 16:29:39
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	142 ms / 3,000 ms
コード長	17,374 bytes
コンパイル時間	5,485 ms
コンパイル使用メモリ	283,464 KB
実行使用メモリ	38,384 KB
最終ジャッジ日時	2024-09-29 22:22:06
合計ジャッジ時間	8,038 ms
ジャッジサーバーID （参考情報）	judge3 / 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	78 ms 38,384 KB
testcase_01	AC	6 ms 11,072 KB
testcase_02	AC	5 ms 11,088 KB
testcase_03	AC	5 ms 11,136 KB
testcase_04	AC	6 ms 11,120 KB
testcase_05	AC	5 ms 11,176 KB
testcase_06	AC	5 ms 11,100 KB
testcase_07	AC	98 ms 31,280 KB
testcase_08	AC	98 ms 32,364 KB
testcase_09	AC	98 ms 32,440 KB
testcase_10	AC	103 ms 31,168 KB
testcase_11	AC	103 ms 30,964 KB
testcase_12	AC	114 ms 32,372 KB
testcase_13	AC	115 ms 32,248 KB
testcase_14	AC	111 ms 31,828 KB
testcase_15	AC	116 ms 30,924 KB
testcase_16	AC	117 ms 31,128 KB
testcase_17	AC	142 ms 31,776 KB
testcase_18	AC	134 ms 31,724 KB
testcase_19	AC	135 ms 32,932 KB
testcase_20	AC	113 ms 31,524 KB
testcase_21	AC	109 ms 31,108 KB
testcase_22	AC	98 ms 34,612 KB
testcase_23	AC	100 ms 35,372 KB
testcase_24	AC	99 ms 33,896 KB
testcase_25	AC	98 ms 34,556 KB
testcase_26	AC	96 ms 34,828 KB
testcase_27	AC	74 ms 23,604 KB
testcase_28	AC	73 ms 23,256 KB
testcase_29	AC	73 ms 24,496 KB
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ソースコード

raw source code
#line 1 "test/yuki/yuki_901.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/901"

#line 2 "graph/base.hpp"

#include <cassert>
#include <iostream>
#include <ranges>
#include <vector>

#line 2 "data_structure/simple_csr.hpp"

#line 4 "data_structure/simple_csr.hpp"
#include <utility>
#line 6 "data_structure/simple_csr.hpp"

namespace ebi {

template <class E> struct simple_csr {
    simple_csr() = default;

    simple_csr(int n, const std::vector<std::pair<int, E>>& elements)
        : start(n + 1, 0), elist(elements.size()) {
        for (auto e : elements) {
            start[e.first + 1]++;
        }
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] += start[i];
        }
        auto counter = start;
        for (auto [i, e] : elements) {
            elist[counter[i]++] = e;
        }
    }

    simple_csr(const std::vector<std::vector<E>>& es)
        : start(es.size() + 1, 0) {
        int n = es.size();
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] = (int)es[i].size() + start[i];
        }
        elist.resize(start.back());
        for (auto i : std::views::iota(0, n)) {
            std::copy(es[i].begin(), es[i].end(), elist.begin() + start[i]);
        }
    }

    int size() const {
        return (int)start.size() - 1;
    }

    const auto operator[](int i) const {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }
    auto operator[](int i) {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }

    const auto operator()(int i, int l, int r) const {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }
    auto operator()(int i, int l, int r) {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }

  private:
    std::vector<int> start;
    std::vector<E> elist;
};

}  // namespace ebi
#line 9 "graph/base.hpp"

namespace ebi {

template <class T> struct Edge {
    int to;
    T cost;
    int id;
};

template <class E> struct Graph {
  private:
    using cost_type = E;
    using edge_type = Edge<cost_type>;

  public:
    Graph(int n_) : n(n_) {}

    Graph() = default;

    void add_edge(int u, int v, cost_type c) {
        edges.emplace_back(u, edge_type{v, c, m++});
    }

    void read_tree(int offset = 1, bool is_weighted = false) {
        read_graph(n - 1, offset, false, is_weighted);
    }

    void read_parents(int offset = 1) {
        for (auto i : std::views::iota(1, n)) {
            int p;
            std::cin >> p;
            p -= offset;
            add_edge(p, i, 1);
            add_edge(i, p, 1);
        }
        build();
    }

    void read_graph(int e, int offset = 1, bool is_directed = false,
                    bool is_weighted = false) {
        for (int i = 0; i < e; i++) {
            int u, v;
            std::cin >> u >> v;
            u -= offset;
            v -= offset;
            if (is_weighted) {
                cost_type c;
                std::cin >> c;
                add_edge(u, v, c);
                if (!is_directed) {
                    add_edge(v, u, c);
                }
            } else {
                add_edge(u, v, 1);
                if (!is_directed) {
                    add_edge(v, u, 1);
                }
            }
        }
        build();
    }

    void build() {
        assert(!prepared);
        csr = simple_csr<edge_type>(n, edges);
        edges.clear();
        prepared = true;
    }

    int size() const {
        return n;
    }

    const auto operator[](int i) const {
        return csr[i];
    }
    auto operator[](int i) {
        return csr[i];
    }

  private:
    int n, m = 0;

    std::vector<std::pair<int, edge_type>> edges;
    simple_csr<edge_type> csr;
    bool prepared = false;
};

}  // namespace ebi
#line 1 "template/template.hpp"
#include <bits/stdc++.h>

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}  // namespace ebi
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using ld = long double;
using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}  // namespace ebi
#line 2 "template/io.hpp"

#line 5 "template/io.hpp"
#include <optional>
#line 7 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 8 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T safe_ceil(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return (a / b) + 1;
    else
        return -((-a) / b);
}

template <class T> T safe_floor(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return a / b;
    else
        return -((-a) / b) - 1;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 2 "tree/heavy_light_decomposition.hpp"

#line 6 "tree/heavy_light_decomposition.hpp"

#line 8 "tree/heavy_light_decomposition.hpp"

namespace ebi {

template <class T> struct heavy_light_decomposition {
  private:
    void dfs_sz(int v) {
        for (auto &e : g[v]) {
            if (e.to == par[v]) continue;
            par[e.to] = v;
            depth_[e.to] = depth_[v] + 1;
            dist[e.to] = dist[v] + e.cost;
            dfs_sz(e.to);
            sz[v] += sz[e.to];
            if (sz[e.to] > sz[g[v][0].to] || g[v][0].to == par[v])
                std::swap(e, g[v][0]);
        }
    }

    void dfs_hld(int v) {
        in[v] = num++;
        rev[in[v]] = v;
        for (auto e : g[v]) {
            if (e.to == par[v]) continue;
            nxt[e.to] = (e.to == g[v][0].to ? nxt[v] : e.to);
            dfs_hld(e.to);
        }
        out[v] = num;
    }

    // [u, v) パスの取得 (v は u の祖先)
    std::vector<std::pair<int, int>> ascend(int u, int v) const {
        std::vector<std::pair<int, int>> res;
        while (nxt[u] != nxt[v]) {
            res.emplace_back(in[u], in[nxt[u]]);
            u = par[nxt[u]];
        }
        if (u != v) res.emplace_back(in[u], in[v] + 1);
        return res;
    }

    // (u, v] パスの取得 (u は v の祖先)
    std::vector<std::pair<int, int>> descend(int u, int v) const {
        if (u == v) return {};
        if (nxt[u] == nxt[v]) return {{in[u] + 1, in[v]}};
        auto res = descend(u, par[nxt[v]]);
        res.emplace_back(in[nxt[v]], in[v]);
        return res;
    }

  public:
    heavy_light_decomposition(const Graph<T> &gh, int root = 0)
        : n(gh.size()),
          g(gh),
          sz(n, 1),
          in(n),
          out(n),
          nxt(n),
          par(n, -1),
          depth_(n, 0),
          rev(n),
          dist(n, 0) {
        nxt[root] = root;
        dfs_sz(root);
        dfs_hld(root);
    }

    int idx(int u) const {
        return in[u];
    }

    int rev_idx(int i) const {
        return rev[i];
    }

    int la(int v, int k) const {
        while (1) {
            int u = nxt[v];
            if (in[u] <= in[v] - k) return rev[in[v] - k];
            k -= in[v] - in[u] + 1;
            v = par[u];
        }
    }

    int lca(int u, int v) const {
        while (nxt[u] != nxt[v]) {
            if (in[u] < in[v]) std::swap(u, v);
            u = par[nxt[u]];
        }
        return depth_[u] < depth_[v] ? u : v;
    }

    int jump(int s, int t, int i) const {
        if (i == 0) return s;
        int l = lca(s, t);
        int d = depth_[s] + depth_[t] - depth_[l] * 2;
        if (d < i) return -1;
        if (depth_[s] - depth_[l] >= i) return la(s, i);
        i = d - i;
        return la(t, i);
    }

    std::vector<int> path(int s, int t) const {
        int l = lca(s, t);
        std::vector<int> a, b;
        for (; s != l; s = par[s]) a.emplace_back(s);
        for (; t != l; t = par[t]) b.emplace_back(t);
        a.emplace_back(l);
        std::reverse(b.begin(), b.end());
        a.insert(a.end(), b.begin(), b.end());
        return a;
    }

    int parent(int u) const {
        return par[u];
    }

    T distance(int u, int v) const {
        return dist[u] + dist[v] - 2 * dist[lca(u, v)];
    }

    T distance_from_root(int v) const {
        return dist[v];
    }

    T depth(int v) const {
        return depth_[v];
    }

    bool at_path(int u, int v, int s) const {
        return distance(u, v) == distance(u, s) + distance(s, v);
    }

    template <class F>
    void path_noncommutative_query(int u, int v, bool vertex,
                                   const F &f) const {
        int l = lca(u, v);
        for (auto [a, b] : ascend(u, l)) f(a + 1, b);
        if (vertex) f(in[l], in[l] + 1);
        for (auto [a, b] : descend(l, v)) f(a, b + 1);
    }

    std::vector<std::pair<int, int>> path_sections(int u, int v,
                                                   bool vertex) const {
        int l = lca(u, v);
        std::vector<std::pair<int, int>> sections;
        for (auto [a, b] : ascend(u, l)) sections.emplace_back(a + 1, b);
        if (vertex) sections.emplace_back(in[l], in[l] + 1);
        for (auto [a, b] : descend(l, v)) sections.emplace_back(a, b + 1);
        return sections;
    }

    template <class F>
    int max_path(int u, int v, bool vertex, F binary_search) const {
        int prev = -1;
        int l = lca(u, v);
        for (auto [a, b] : ascend(u, l)) {
            a++;
            int m = binary_search(a, b);
            if (m == b) {
                prev = rev[b];
            } else {
                return (m == a ? prev : rev[m]);
            }
        }
        if (vertex) {
            int m = binary_search(in[l], in[l] + 1);
            if (m == in[l]) {
                return prev;
            } else {
                prev = l;
            }
        }
        for (auto [a, b] : descend(l, v)) {
            b++;
            int m = binary_search(a, b);
            if (m == b) {
                prev = rev[b - 1];
            } else {
                return m == a ? prev : rev[m - 1];
            }
        }
        return v;
    }

    template <class F> void subtree_query(int u, bool vertex, const F &f) {
        f(in[u] + int(!vertex), out[u]);
    }

    const std::vector<int> &dfs_order() const {
        return rev;
    }

    std::vector<std::pair<int, int>> lca_based_auxiliary_tree_dfs_order(
        std::vector<int> vs) const;

    std::pair<std::vector<int>, Graph<T>>
    lca_based_auxiliary_tree(std::vector<int> vs) const;

  private:
    int n;
    Graph<T> g;
    std::vector<int> sz, in, out, nxt, par, depth_, rev;
    std::vector<T> dist;

    int num = 0;
};

}  // namespace ebi
#line 2 "tree/lca_based_auxiliary_tree.hpp"

#line 8 "tree/lca_based_auxiliary_tree.hpp"

#line 10 "tree/lca_based_auxiliary_tree.hpp"

namespace ebi {

template<class T>
std::vector<std::pair<int, int>>
heavy_light_decomposition<T>::lca_based_auxiliary_tree_dfs_order(
    std::vector<int> vs) const {
    if (vs.empty()) return {};
    std::sort(vs.begin(), vs.end(),
              [&](int u, int v) -> bool { return in[u] < in[v]; });
    auto s = vs;
    for (int i = 1; i < int(vs.size()); i++) {
        s.emplace_back(lca(vs[i - 1], vs[i]));
    }
    std::sort(s.begin(), s.end(),
              [&](int u, int v) -> bool { return in[u] < in[v]; });
    s.erase(std::unique(s.begin(), s.end()), s.end());
    std::stack<int> stack;
    stack.push(s[0]);
    int sz = s.size();
    std::vector<std::pair<int, int>> dfs_order(sz);
    dfs_order[0] = {s[0], -1};
    for (int i = 1; i < int(s.size()); i++) {
        int v = s[i];
        while (!stack.empty()) {
            int u = stack.top();
            if (in[u] <= in[v] && in[v] < out[u]) {
                break;
            } else {
                stack.pop();
            }
        }
        assert(!stack.empty());
        int par = stack.top();
        dfs_order[i] = {v, par};
        stack.push(v);
    }
    return dfs_order;
}

template<class T>
std::pair<std::vector<int>, Graph<T>>
heavy_light_decomposition<T>::lca_based_auxiliary_tree(std::vector<int> vs) const {
    static std::vector<int> a(1'000'000, -1), p(1'000'000, -1);
    int k = vs.size();
    if (k == 1) {
        return {vs, Graph<T>(1)};
    }
    std::sort(vs.begin(), vs.end(),
              [&](int v, int u) { return in[v] < in[u]; });
    std::stack<int> stack;
    std::vector<int> s;
    stack.push(vs[0]);
    for (int i : std::views::iota(1, k)) {
        int w = lca(vs[i - 1], vs[i]);
        int prev = -1;
        while (!stack.empty() && depth_[w] <= depth_[stack.top()]) {
            if (prev != -1) {
                s.emplace_back(prev);
                p[prev] = stack.top();
            }
            prev = stack.top();
            stack.pop();
        }
        if (prev != w) {
            assert(prev != -1);
            s.emplace_back(prev);
            p[prev] = w;
        }
        stack.push(w);
        stack.push(vs[i]);
    }
    {
        int prev = -1;
        while (!stack.empty()) {
            int v = stack.top();
            s.emplace_back(v);
            if (prev != -1) p[prev] = v;
            prev = v;
            stack.pop();
        }
    }
    std::reverse(s.begin(), s.end());
    int m = s.size();
    for (int i : std::views::iota(0, m)) {
        a[s[i]] = i;
    }
    Graph<T> tree(m);
    for (auto v : s) {
        if (p[v] < 0) continue;
        T cost = distance(p[v], v);
        tree.add_edge(a[p[v]], a[v], cost);
        tree.add_edge(a[v], a[p[v]], cost);
    }
    tree.build();
    for (auto v : s) {
        a[v] = -1;
        p[v] = -1;
    }
    return {s, tree};
}

}  // namespace ebi
#line 7 "test/yuki/yuki_901.test.cpp"

namespace ebi {

void main_() {
    int n;
    std::cin >> n;
    Graph<i64> g(n);
    g.read_tree(0, true);
    heavy_light_decomposition hld(g);
    int q;
    std::cin >> q;
    while (q--) {
        int k;
        std::cin >> k;
        std::vector<int> vs(k);
        for (auto &v : vs) std::cin >> v;
        if(k == 1) {
            std::cout << "0\n";
            continue;
        }
        auto [ids, tree] = hld.lca_based_auxiliary_tree(vs);
        std::vector<int> par(tree.size(), -1);
        i64 ans = 0;
        auto dfs = [&](auto &&self, int v) -> void {
            for (auto e : tree[v]) {
                if (par[v] == e.to) continue;
                ans += e.cost;
                par[e.to] = v;
                self(self, e.to);
            }
        };
        dfs(dfs, 0);
        std::cout << ans << '\n';
    }
}

}  // namespace ebi

int main() {
    ebi::fast_io();
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ebi::main_();
    }
    return 0;
}