#924604 (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	2023-10-31 13:59:42
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	183 ms / 3,000 ms
コード長	16,310 bytes
コンパイル時間	3,306 ms
コンパイル使用メモリ	219,900 KB
実行使用メモリ	25,080 KB
最終ジャッジ日時	2024-09-25 17:38:53
合計ジャッジ時間	9,383 ms
ジャッジサーバーID （参考情報）	judge2 / judge4
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	108 ms 25,080 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	4 ms 5,376 KB
testcase_03	AC	4 ms 5,376 KB
testcase_04	AC	4 ms 5,376 KB
testcase_05	AC	4 ms 5,376 KB
testcase_06	AC	4 ms 5,376 KB
testcase_07	AC	174 ms 21,164 KB
testcase_08	AC	178 ms 21,104 KB
testcase_09	AC	180 ms 21,120 KB
testcase_10	AC	180 ms 21,108 KB
testcase_11	AC	178 ms 21,120 KB
testcase_12	AC	171 ms 20,992 KB
testcase_13	AC	171 ms 21,120 KB
testcase_14	AC	174 ms 21,104 KB
testcase_15	AC	172 ms 20,992 KB
testcase_16	AC	168 ms 21,232 KB
testcase_17	AC	169 ms 21,236 KB
testcase_18	AC	183 ms 21,120 KB
testcase_19	AC	176 ms 21,120 KB
testcase_20	AC	175 ms 21,104 KB
testcase_21	AC	170 ms 21,108 KB
testcase_22	AC	163 ms 22,388 KB
testcase_23	AC	166 ms 22,400 KB
testcase_24	AC	165 ms 22,644 KB
testcase_25	AC	165 ms 22,388 KB
testcase_26	AC	164 ms 22,264 KB
testcase_27	AC	129 ms 21,108 KB
testcase_28	AC	129 ms 21,120 KB
testcase_29	AC	126 ms 21,120 KB
権限があれば一括ダウンロードができます
ソースコード

raw source code
#line 2 "data_structure/segtree.hpp"

#include <cassert>
#include <vector>

namespace ebi {

template <class S, S (*op)(S, S), S (*e)()> struct segtree {
  private:
    int n;
    int sz;
    std::vector<S> data;

    void update(int i) {
        data[i] = op(data[2 * i], data[2 * i + 1]);
    }

  public:
    segtree(int n_) : segtree(std::vector<S>(n_, e())) {}
    segtree(const std::vector<S> &v) : n((int)v.size()), sz(1) {
        while (sz < n) sz *= 2;
        data = std::vector<S>(2 * sz, e());
        for (int i = 0; i < n; i++) {
            data[sz + i] = v[i];
        }
        for (int i = sz - 1; i >= 1; i--) update(i);
    }

    void set(int p, S x) {
        assert(0 <= p && p < n);
        p += sz;
        data[p] = x;
        while (p > 1) {
            p >>= 1;
            update(p);
        }
    }

    S get(int p) const {
        assert(0 <= p && p < n);
        return data[p + sz];
    }

    S prod(int l, int r) const {
        assert(0 <= l && l <= r && r <= n);
        S sml = e(), smr = e();
        l += sz;
        r += sz;
        while (l < r) {
            if (l & 1) sml = op(sml, data[l++]);
            if (r & 1) smr = op(data[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }

    S all_prod() const {
        return data[1];
    }

    template <class F> int max_right(int l, F f) const {
        assert(0 <= l && l < n);
        assert(f(e()));
        if (l == n) return n;
        l += sz;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, data[l]))) {
                while (l < sz) {
                    l = 2 * l;
                    if (f(op(sm, data[l]))) {
                        sm = op(sm, data[l]);
                        l++;
                    }
                }
                return l - sz;
            }
            sm = op(sm, data[l]);
            l++;
        } while ((l & -l) != l);
        return n;
    }

    template <class F> int min_left(int r, F f) const {
        assert(0 <= r && r <= n);
        assert(f(e()));
        if (r == 0) return 0;
        r += sz;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(data[r], sm))) {
                while (r < sz) {
                    r = 2 * r + 1;
                    if (f(op(data[r], sm))) {
                        sm = op(data[r], sm);
                        r--;
                    }
                }
                return r + 1 - sz;
            }
            sm = op(data[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

    S operator[](int p) const {
        return data[sz + p];
    }
};

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

#line 4 "graph/template.hpp"

namespace ebi {

template <class T> struct Edge {
    int to;
    T cost;
    Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {}
};

template <class T> struct Graph : std::vector<std::vector<Edge<T>>> {
    using std::vector<std::vector<Edge<T>>>::vector;
    void add_edge(int u, int v, T w, bool directed = false) {
        (*this)[u].emplace_back(v, w);
        if (directed) return;
        (*this)[v].emplace_back(u, w);
    }
};

struct graph : std::vector<std::vector<int>> {
    using std::vector<std::vector<int>>::vector;
    void add_edge(int u, int v, bool directed = false) {
        (*this)[u].emplace_back(v);
        if (directed) return;
        (*this)[v].emplace_back(u);
    }
};

}  // namespace ebi
#line 1 "template/template.hpp"
#include <algorithm>
#include <bit>
#include <bitset>
#line 5 "template/template.hpp"
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstddef>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <memory>
#include <numbers>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <ranges>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#line 34 "template/template.hpp"

#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 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 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 7 "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"

namespace ebi {

struct heavy_light_decomposition {
  private:
    void dfs_sz(int v) {
        for (auto &nv : g[v]) {
            if (nv == par[v]) continue;
            par[nv] = v;
            depth[nv] = depth[v] + 1;
            dfs_sz(nv);
            sz[v] += sz[nv];
            if (sz[nv] > sz[g[v][0]] || g[v][0] == par[v])
                std::swap(nv, g[v][0]);
        }
    }

    void dfs_hld(int v) {
        in[v] = num++;
        rev[in[v]] = v;
        for (auto nv : g[v]) {
            if (nv == par[v]) continue;
            nxt[nv] = (nv == g[v][0] ? nxt[v] : nv);
            dfs_hld(nv);
        }
        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 std::vector<std::vector<int>> &gh,
                              int root = 0)
        : n((int)gh.size()),
          g(gh),
          sz(n, 1),
          in(n),
          out(n),
          nxt(n),
          par(n, -1),
          depth(n, 0),
          rev(n) {
        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];
    }

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

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

  private:
    int n;
    std::vector<std::vector<int>> g;
    std::vector<int> sz, in, out, nxt, par, depth, rev;

    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 {

std::pair<std::vector<int>, std::vector<std::vector<int>>>
heavy_light_decomposition::lca_based_auxiliary_tree(std::vector<int> vs) const {
    static std::vector<int> a(n, -1), p(n, -1);
    int k = vs.size();
    if (k == 1) {
        return {vs, std::vector(1, std::vector<int>())};
    }
    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;
    }
    std::vector tree(m, std::vector<int>());
    for (auto v : s) {
        if (p[v] < 0) continue;
        tree[a[p[v]]].emplace_back(a[v]);
    }
    for (auto v : s) {
        a[v] = -1;
        p[v] = -1;
    }
    return {s, tree};
}

}  // namespace ebi
#line 6 "a.cpp"

namespace ebi {

i64 op(i64 a, i64 b) {
    return a + b;
}

i64 e() {
    return 0;
}

void main_() {
    int n;
    std::cin >> n;
    std::vector<std::array<int, 3>> edges(n - 1);
    graph g(n);
    for (auto &[u, v, w] : edges) {
        std::cin >> u >> v >> w;
        g.add_edge(u, v);
    }
    heavy_light_decomposition hld(g);
    segtree<i64, op, e> seg(n);
    for (auto [u, v, w] : edges) {
        if (hld.parent(v) == u) std::swap(u, v);
        seg.set(hld.idx(u), w);
    }
    auto path_sum = [&](int u, int v) -> i64 {
        i64 sum = 0;
        auto f = [&](int l, int r) -> void {
            if (l > r) std::swap(l, r);
            sum += seg.prod(l, r);
        };
        hld.path_noncommutative_query(u, v, false, f);
        return sum;
    };
    int q;
    std::cin >> q;
    while (q--) {
        int k;
        std::cin >> k;
        std::vector<int> vs(k);
        for (auto &v : vs) std::cin >> v;
        auto [ids, tree] = hld.lca_based_auxiliary_tree(vs);
        i64 ans = 0;
        auto dfs = [&](auto &&self, int v) -> void {
            for (auto nv : tree[v]) {
                ans += path_sum(ids[v], ids[nv]);
                self(self, nv);
            }
        };
        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;
}
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結果

テストケース

ソースコード
