結果

問題 No.1817 Reversed Edges
ユーザー Forested
提出日時 2022-01-21 22:08:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 119 ms / 2,000 ms
コード長 5,932 bytes
コンパイル時間 1,459 ms
コンパイル使用メモリ 133,320 KB
最終ジャッジ日時 2025-01-27 13:53:13
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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ファイルパターン 結果
sample AC * 2
other AC * 23
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

diff #
プレゼンテーションモードにする

// ===== template.hpp =====
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (n); ++i)
#define REP3(i, m, n) for (i32 i = (m); i < (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)
using namespace std;
using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
template <typename T>
using Vec = vector<T>;
template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
[[maybe_unused]] constexpr i32 inf = 1000000100;
[[maybe_unused]] constexpr i64 inf64 = 3000000000000000100;
struct SetIO {
    SetIO() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
        cout << fixed << setprecision(10);
    }
} set_io;
// ===== template.hpp =====
#ifdef DEBUGF
#include  "../new_library/other/debug.hpp"
#else
#define DBG(x) (void) 0
#endif
// ===== rerooting.hpp =====
#ifndef REROOTING_HPP
#define REROOTING_HPP
#include <optional>
#include <queue>
#include <utility>
#include <vector>
template <typename G, typename T, typename Apply, typename Merge>
T rerooting_sub1(
    const G &g,
    const T &id,
    const Apply &ap,
    const Merge &me,
    std::size_t v,
    std::size_t p,
    std::vector<std::vector<std::optional<T>>> &dp) {
    T acc = id;
    for (std::size_t i = 0; i < g[v].size(); ++i) {
        if ((std::size_t)g[v][i] != p) {
            T val = rerooting_sub1(g, id, ap, me, (std::size_t)g[v][i], v, dp);
            dp[v][i] = ap(val, v, g[v][i]);
            acc = me(acc, *dp[v][i]);
        }
    }
    return acc;
}
template <typename G, typename T, typename Apply, typename Merge>
void rerooting_sub2(
    const G &g,
    const T &id,
    const Apply &ap,
    const Merge &me,
    std::size_t root,
    std::vector<std::vector<std::optional<T>>> &dp) {
    std::queue<std::pair<std::size_t, T>> que;
    que.emplace(root, id);
    while (!que.empty()) {
        auto [v, val] = que.front();
        que.pop();
        std::vector<T> acc_l(g[v].size() + 1);
        acc_l[0] = id;
        std::size_t emp_idx = -1;
        for (std::size_t i = 0; i < g[v].size(); ++i) {
            if (!(bool)dp[v][i]) {
                dp[v][i] = ap(val, v, g[v][i]);
                emp_idx = i;
            }
            acc_l[i + 1] = me(acc_l[i], *dp[v][i]);
        }
        T acc_r = id;
        for (std::size_t i = g[v].size() - 1; i < g[v].size(); --i) {
            if (i != emp_idx) {
                que.emplace((std::size_t)g[v][i], me(acc_l[i], acc_r));
            }
            acc_r = me(*dp[v][i], acc_r);
        }
    }
}
// Apply: Fn(T, size_t, E) -> T
// Merge: Fn(T, T) -> T
template <typename G, typename T, typename Apply, typename Merge>
std::vector<T>
rerooting(const G &g, const T &id, const Apply &ap, const Merge &me) {
    std::vector<std::vector<std::optional<T>>> dp(g.size());
    for (std::size_t i = 0; i < g.size(); ++i) {
        dp[i].resize(g[i].size(), std::nullopt);
    }
    rerooting_sub1(g, id, ap, me, 0, 0, dp);
    rerooting_sub2(g, id, ap, me, 0, dp);
    std::vector<T> buf(g.size(), id);
    for (std::size_t i = 0; i < g.size(); ++i) {
        for (std::optional<T> &val : dp[i]) {
            buf[i] = me(buf[i], std::move(*val));
        }
    }
    return buf;
}
#endif
// ===== rerooting.hpp =====
// ===== graph.hpp =====
#ifndef GRAPH_HPP
#define GRAPH_HPP
#include <utility>
#include <vector>
template <typename Edge>
class Graph {
    std::vector<std::vector<Edge>> edges;
public:
    Graph() : edges() {}
    Graph(std::size_t v) : edges(v) {}
    template <typename... T>
    void add_edge(std::size_t from, std::size_t to, T &&...val) {
        edges[from].emplace_back(Edge(to, std::forward<T>(val)...));
    }
    template <typename... T>
    void add_undirected_edge(std::size_t u, std::size_t v, const T &...val) {
        edges[u].emplace_back(Edge(v, val...));
        edges[v].emplace_back(Edge(u, val...));
    }
    std::size_t size() const {
        return edges.size();
    }
    const std::vector<Edge> &operator[](std::size_t v) const {
        return edges[v];
    }
    std::vector<Edge> &operator[](std::size_t v) {
        return edges[v];
    }
};
struct UnweightedEdge {
    std::size_t to;
    UnweightedEdge(std::size_t t) : to(t) {}
    
    operator std::size_t() const {
        return to;
    }
    using Weight = std::size_t;
    Weight wt() const {
        return 1;
    }
};
template <typename T>
struct WeightedEdge {
    std::size_t to;
    T wt;
    WeightedEdge(std::size_t t, const T &w) : to(t), wt(w) {}
    operator std::size_t() const {
        return to;
    }
    using Weight = T;
    Weight weight() const {
        return wt;
    }
};
#endif
// ===== graph.hpp =====
int main() {
    i32 n;
    cin >> n;
    Graph<i32> g(n);
    REP(i, n - 1) {
        i32 a, b;
        cin >> a >> b;
        --a;
        --b;
        g.add_undirected_edge(a, b);
    }
    
    const auto ap = [](i32 s, i32 v, i32 e) -> i32 {
        if (e < v) {
            return s + 1;
        } else {
            return s;
        }
    };
    const auto me = [](i32 s1, i32 s2) -> i32 {
        return s1 + s2;
    };
    Vec<i32> dp = rerooting(g, 0, ap, me);
    REP(i, n) {
        cout << dp[i] << '\n';
    }
}
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