結果

問題 No.2584 The University of Tree
ユーザー hitonanodehitonanode
提出日時 2023-12-12 00:50:52
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 378 ms / 3,000 ms
コード長 20,319 bytes
コンパイル時間 2,664 ms
コンパイル使用メモリ 200,676 KB
実行使用メモリ 67,972 KB
最終ジャッジ日時 2024-09-27 04:43:45
合計ジャッジ時間 12,943 ms
ジャッジサーバーID
(参考情報)
judge1 / 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
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 3 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 3 ms
5,376 KB
testcase_07 AC 3 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 3 ms
5,376 KB
testcase_10 AC 3 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 3 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 180 ms
35,344 KB
testcase_23 AC 165 ms
17,904 KB
testcase_24 AC 85 ms
11,764 KB
testcase_25 AC 90 ms
12,760 KB
testcase_26 AC 61 ms
12,144 KB
testcase_27 AC 127 ms
21,220 KB
testcase_28 AC 75 ms
16,256 KB
testcase_29 AC 35 ms
9,344 KB
testcase_30 AC 311 ms
32,696 KB
testcase_31 AC 349 ms
48,188 KB
testcase_32 AC 56 ms
17,792 KB
testcase_33 AC 179 ms
66,932 KB
testcase_34 AC 40 ms
9,024 KB
testcase_35 AC 366 ms
46,984 KB
testcase_36 AC 253 ms
27,448 KB
testcase_37 AC 269 ms
24,228 KB
testcase_38 AC 273 ms
24,232 KB
testcase_39 AC 307 ms
33,456 KB
testcase_40 AC 335 ms
47,412 KB
testcase_41 AC 355 ms
41,000 KB
testcase_42 AC 360 ms
42,792 KB
testcase_43 AC 326 ms
37,284 KB
testcase_44 AC 378 ms
55,652 KB
testcase_45 AC 375 ms
55,140 KB
testcase_46 AC 177 ms
67,972 KB
testcase_47 AC 241 ms
27,576 KB
testcase_48 AC 81 ms
12,052 KB
testcase_49 AC 233 ms
22,556 KB
testcase_50 AC 205 ms
20,128 KB
testcase_51 AC 104 ms
12,664 KB
testcase_52 AC 39 ms
7,804 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

diff #

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif

template <int md> struct ModInt {
    using lint = long long;
    constexpr static int mod() { return md; }
    static int get_primitive_root() {
        static int primitive_root = 0;
        if (!primitive_root) {
            primitive_root = [&]() {
                std::set<int> fac;
                int v = md - 1;
                for (lint i = 2; i * i <= v; i++)
                    while (v % i == 0) fac.insert(i), v /= i;
                if (v > 1) fac.insert(v);
                for (int g = 1; g < md; g++) {
                    bool ok = true;
                    for (auto i : fac)
                        if (ModInt(g).pow((md - 1) / i) == 1) {
                            ok = false;
                            break;
                        }
                    if (ok) return g;
                }
                return -1;
            }();
        }
        return primitive_root;
    }
    int val_;
    int val() const noexcept { return val_; }
    constexpr ModInt() : val_(0) {}
    constexpr ModInt &_setval(lint v) { return val_ = (v >= md ? v - md : v), *this; }
    constexpr ModInt(lint v) { _setval(v % md + md); }
    constexpr explicit operator bool() const { return val_ != 0; }
    constexpr ModInt operator+(const ModInt &x) const {
        return ModInt()._setval((lint)val_ + x.val_);
    }
    constexpr ModInt operator-(const ModInt &x) const {
        return ModInt()._setval((lint)val_ - x.val_ + md);
    }
    constexpr ModInt operator*(const ModInt &x) const {
        return ModInt()._setval((lint)val_ * x.val_ % md);
    }
    constexpr ModInt operator/(const ModInt &x) const {
        return ModInt()._setval((lint)val_ * x.inv().val() % md);
    }
    constexpr ModInt operator-() const { return ModInt()._setval(md - val_); }
    constexpr ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
    constexpr ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
    constexpr ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
    constexpr ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
    friend constexpr ModInt operator+(lint a, const ModInt &x) { return ModInt(a) + x; }
    friend constexpr ModInt operator-(lint a, const ModInt &x) { return ModInt(a) - x; }
    friend constexpr ModInt operator*(lint a, const ModInt &x) { return ModInt(a) * x; }
    friend constexpr ModInt operator/(lint a, const ModInt &x) { return ModInt(a) / x; }
    constexpr bool operator==(const ModInt &x) const { return val_ == x.val_; }
    constexpr bool operator!=(const ModInt &x) const { return val_ != x.val_; }
    constexpr bool operator<(const ModInt &x) const {
        return val_ < x.val_;
    } // To use std::map<ModInt, T>
    friend std::istream &operator>>(std::istream &is, ModInt &x) {
        lint t;
        return is >> t, x = ModInt(t), is;
    }
    constexpr friend std::ostream &operator<<(std::ostream &os, const ModInt &x) {
        return os << x.val_;
    }

    constexpr ModInt pow(lint n) const {
        ModInt ans = 1, tmp = *this;
        while (n) {
            if (n & 1) ans *= tmp;
            tmp *= tmp, n >>= 1;
        }
        return ans;
    }

    static constexpr int cache_limit = std::min(md, 1 << 21);
    static std::vector<ModInt> facs, facinvs, invs;

    constexpr static void _precalculation(int N) {
        const int l0 = facs.size();
        if (N > md) N = md;
        if (N <= l0) return;
        facs.resize(N), facinvs.resize(N), invs.resize(N);
        for (int i = l0; i < N; i++) facs[i] = facs[i - 1] * i;
        facinvs[N - 1] = facs.back().pow(md - 2);
        for (int i = N - 2; i >= l0; i--) facinvs[i] = facinvs[i + 1] * (i + 1);
        for (int i = N - 1; i >= l0; i--) invs[i] = facinvs[i] * facs[i - 1];
    }

    constexpr ModInt inv() const {
        if (this->val_ < cache_limit) {
            if (facs.empty()) facs = {1}, facinvs = {1}, invs = {0};
            while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
            return invs[this->val_];
        } else {
            return this->pow(md - 2);
        }
    }
    constexpr ModInt fac() const {
        while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
        return facs[this->val_];
    }
    constexpr ModInt facinv() const {
        while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
        return facinvs[this->val_];
    }
    constexpr ModInt doublefac() const {
        lint k = (this->val_ + 1) / 2;
        return (this->val_ & 1) ? ModInt(k * 2).fac() / (ModInt(2).pow(k) * ModInt(k).fac())
                                : ModInt(k).fac() * ModInt(2).pow(k);
    }

    constexpr ModInt nCr(int r) const {
        if (r < 0 or this->val_ < r) return ModInt(0);
        return this->fac() * (*this - r).facinv() * ModInt(r).facinv();
    }

    constexpr ModInt nPr(int r) const {
        if (r < 0 or this->val_ < r) return ModInt(0);
        return this->fac() * (*this - r).facinv();
    }

    static ModInt binom(int n, int r) {
        static long long bruteforce_times = 0;

        if (r < 0 or n < r) return ModInt(0);
        if (n <= bruteforce_times or n < (int)facs.size()) return ModInt(n).nCr(r);

        r = std::min(r, n - r);

        ModInt ret = ModInt(r).facinv();
        for (int i = 0; i < r; ++i) ret *= n - i;
        bruteforce_times += r;

        return ret;
    }

    // Multinomial coefficient, (k_1 + k_2 + ... + k_m)! / (k_1! k_2! ... k_m!)
    // Complexity: O(sum(ks))
    template <class Vec> static ModInt multinomial(const Vec &ks) {
        ModInt ret{1};
        int sum = 0;
        for (int k : ks) {
            assert(k >= 0);
            ret *= ModInt(k).facinv(), sum += k;
        }
        return ret * ModInt(sum).fac();
    }

    // Catalan number, C_n = binom(2n, n) / (n + 1)
    // C_0 = 1, C_1 = 1, C_2 = 2, C_3 = 5, C_4 = 14, ...
    // https://oeis.org/A000108
    // Complexity: O(n)
    static ModInt catalan(int n) {
        if (n < 0) return ModInt(0);
        return ModInt(n * 2).fac() * ModInt(n + 1).facinv() * ModInt(n).facinv();
    }

    ModInt sqrt() const {
        if (val_ == 0) return 0;
        if (md == 2) return val_;
        if (pow((md - 1) / 2) != 1) return 0;
        ModInt b = 1;
        while (b.pow((md - 1) / 2) == 1) b += 1;
        int e = 0, m = md - 1;
        while (m % 2 == 0) m >>= 1, e++;
        ModInt x = pow((m - 1) / 2), y = (*this) * x * x;
        x *= (*this);
        ModInt z = b.pow(m);
        while (y != 1) {
            int j = 0;
            ModInt t = y;
            while (t != 1) j++, t *= t;
            z = z.pow(1LL << (e - j - 1));
            x *= z, z *= z, y *= z;
            e = j;
        }
        return ModInt(std::min(x.val_, md - x.val_));
    }
};
template <int md> std::vector<ModInt<md>> ModInt<md>::facs = {1};
template <int md> std::vector<ModInt<md>> ModInt<md>::facinvs = {1};
template <int md> std::vector<ModInt<md>> ModInt<md>::invs = {0};

using mint = ModInt<998244353>;


// Rerooting
// Reference:
// - https://atcoder.jp/contests/abc222/editorial/2749
// - https://null-mn.hatenablog.com/entry/2020/04/14/124151
template <class Edge, class St, class Ch, Ch (*merge)(Ch, Ch), Ch (*f)(St, int, Edge),
          St (*g)(Ch, int), Ch (*e)()>
struct rerooting {
    int n_;
    std::vector<int> par, visited;
    std::vector<std::vector<std::pair<int, Edge>>> to;
    std::vector<St> dp_subtree;
    std::vector<St> dp_par;
    std::vector<St> dpall;
    rerooting(const std::vector<std::vector<std::pair<int, Edge>>> &to_)
        : n_(to_.size()), par(n_, -1), visited(n_, 0), to(to_) {
        for (int i = 0; i < n_; ++i) dp_subtree.push_back(g(e(), i));
        dp_par = dpall = dp_subtree;
    }

    void run_connected(int root) {
        if (visited[root]) return;
        visited[root] = 1;
        std::vector<int> visorder{root};

        for (int t = 0; t < int(visorder.size()); ++t) {
            int now = visorder[t];
            for (const auto &edge : to[now]) {
                int nxt = edge.first;
                if (visited[nxt]) continue;
                visorder.push_back(nxt);
                visited[nxt] = 1;
                par[nxt] = now;
            }
        }

        for (int t = int(visorder.size()) - 1; t >= 0; --t) {
            int now = visorder[t];
            Ch ch = e();
            for (const auto &edge : to[now]) {
                int nxt = edge.first;
                if (nxt == par[now]) continue;
                ch = merge(ch, f(dp_subtree[nxt], nxt, edge.second));
            }
            dp_subtree[now] = g(ch, now);
        }

        std::vector<Ch> left;
        for (int now : visorder) {
            int m = int(to[now].size());
            left.assign(m + 1, e());
            for (int j = 0; j < m; j++) {
                int nxt = to[now][j].first;
                const St &st = (nxt == par[now] ? dp_par[now] : dp_subtree[nxt]);
                left[j + 1] = merge(left[j], f(st, nxt, to[now][j].second));
            }
            dpall[now] = g(left.back(), now);

            Ch rprod = e();
            for (int j = m - 1; j >= 0; --j) {
                int nxt = to[now][j].first;
                if (nxt != par[now]) dp_par[nxt] = g(merge(left[j], rprod), now);

                const St &st = (nxt == par[now] ? dp_par[now] : dp_subtree[nxt]);
                rprod = merge(f(st, nxt, to[now][j].second), rprod);
            }
        }
    }

    void run() {
        for (int i = 0; i < n_; ++i) {
            if (!visited[i]) run_connected(i);
        }
    }

    const St &get_subtree(int root_, int par_) const {
        if (par_ < 0) return dpall.at(root_);
        if (par.at(root_) == par_) return dp_subtree.at(root_);
        if (par.at(par_) == root_) return dp_par.at(par_);
        std::exit(1);
    }
};
/* Template:
struct Subtree {};
struct Child {};
struct Edge {};
Child e() { return Child(); }
Child merge(Child x, Child y) { return Child(); }
Child f(Subtree x, int ch_id, Edge edge) { return Child(); }
Subtree g(Child x, int v_id) { return Subtree(); }

vector<vector<pair<int, Edge>>> to;
rerooting<Edge, Subtree, Child, merge, f, g, e> tree(to);
*/


int main() {
    int N;
    cin >> N;
    vector<vector<int>> to_edges(N);
    REP(i, N) {
        int C;
        cin >> C;
        REP(t, C) {
            int e;
            cin >> e;
            --e;
            to_edges.at(i).push_back(e);
        }
    }
    dbg(to_edges);
    vector<pair<pint, pint>> edges(N - 1, make_pair(make_pair(-1, -1), make_pair(-1, -1)));
    REP(i, N) {
        REP(pos, to_edges.at(i).size()) {
            int eid = to_edges.at(i).at(pos);
            if (edges.at(eid).first.first == -1) {
                edges.at(eid).first = make_pair(i, pos);
            } else {
                edges.at(eid).second = make_pair(i, pos);
            }
        }
    }
    dbg(edges);

    vector<mint> dpchild(N), dppar(N);
    vector<mint> ret(N);
    vector<int> curs(N, -1);

    auto rec1 = [&](auto &&self, int now, int prvvid, int prveid) -> void {

        if (prveid >= 0) {
            int cur = 0;
            while (to_edges.at(now).at(cur) != prveid) ++cur;
            curs.at(now) = cur;
        }

        const int D = to_edges.at(now).size();

        for (int eid : to_edges.at(now)) {
            if (eid == prveid) continue;
            int nxt = edges.at(eid).first.first;
            if (nxt == now) nxt = edges.at(eid).second.first;
            self(self, nxt, now, eid);
        }

        vector<mint> tmp;
        tmp.reserve((1 + D) * 2);
        tmp.push_back(1);
        for (int eid : to_edges.at(now)) {
            int nxt = edges.at(eid).first.first;
            if (nxt == now) nxt = edges.at(eid).second.first;
            tmp.push_back(dpchild.at(nxt));
        }
        REP(i, 1 + D) tmp.push_back(tmp.at(i));
        assert((int)tmp.size() == (1 + D) * 2);

        vector<mint> tmp_cs(tmp.size() + 1);
        const mint w = mint(now + 1).inv();
        const mint winvpow = mint(now + 1).pow(D);

        {
            REP(i, tmp.size()) {
                tmp_cs.at(i + 1) = tmp_cs.at(i) * w + tmp.at(i);
            }
        }

        dbg(make_tuple(now, tmp, tmp_cs));

        auto get_sum = [&](int l, int r) -> mint {
            assert(r - l == D);
            auto ans = tmp_cs.at(r) * winvpow - tmp_cs.at(l);
            dbg(make_tuple(now, l, r, ans));
            return ans;
        };

        ret.at(now) += get_sum(1, D + 1);

        // dpchild.at(now) += 1;
        if (curs.at(now) >= 0) dpchild.at(now) += get_sum(1 + curs.at(now) + 1, 1 + curs.at(now) + D + 1);

        REP(d, D) {
            int nxt = edges.at(to_edges.at(now).at(d)).first.first;
            if (nxt == now) nxt = edges.at(to_edges.at(now).at(d)).second.first;
            if (nxt == prvvid) continue;
            dppar.at(nxt) += get_sum(1 + d + 1, 1 + d + 1 + D);
        }
    };

    rec1(rec1, 0, -1, -1);

    auto rec2 = [&](auto &&self, int now, int prveid) -> void {
        const int D = to_edges.at(now).size();

        ret.at(now) += dppar.at(now) * mint(now + 1).pow(1 + curs.at(now));
        REP(d, D) {
            const int eid = to_edges.at(now).at(d);
            if (eid == prveid) continue;
            int nxt = edges.at(eid).first.first;
            if (nxt == now) nxt = edges.at(eid).second.first;

            if (prveid >= 0) {
                dppar.at(nxt) += dppar.at(now) * mint(now + 1).pow((curs.at(now) + (D + 1) - d) % (D + 1));
            }


            self(self, nxt, eid);
        }
    };
    rec2(rec2, 0, -1);

    dbg(dpchild);
    dbg(dppar);
    dbg(ret);

    for (auto x : ret) cout << x << '\n';
}
0