#696852 (C++17) No.1667 Forest

• 問題: No.1667 Forest
• ユーザー: rniya
• 提出日時: 2021-09-06 17:34:26
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 173 ms / 3,000 ms
• コード長: 9,455 bytes
• コンパイル時間: 2,319 ms
• コンパイル使用メモリ: 200,172 KB
• 最終ジャッジ日時: 2025-01-24 08:27:36
• ジャッジサーバーID （参考情報）: judge1 / judge5

ファイルパターン	結果
sample	AC * 3
other	AC * 15

ソースコード

#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(), (x).end()

template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {
    os << '{';
    for (auto itr = m.begin(); itr != m.end();) {
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr != m.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {
    os << '{';
    for (auto itr = s.begin(); itr != s.end();) {
        os << *itr;
        if (++itr != s.end()) os << ',';
    }
    os << '}';
    return os;
}
template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {
    for (int i = 0; i < (int)v.size(); i++) {
        os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
    }
    return os;
}

template <int i, typename T> void print_tuple(ostream&, const T&) {}
template <int i, typename T, typename H, class... Args> void print_tuple(ostream& os, const T& t) {
    if (i) os << ',';
    os << get<i>(t);
    print_tuple<i + 1, T, Args...>(os, t);
}
template <typename... Args> ostream& operator<<(ostream& os, const tuple<Args...>& t) {
    os << '{';
    print_tuple<0, tuple<Args...>, Args...>(os, t);
    return os << '}';
}

void debug_out() { cerr << '\n'; }
template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {
    cerr << head;
    if (sizeof...(Tail) > 0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...)                                                                   \
    cerr << " ";                                                                     \
    cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \
    cerr << " ";                                                                     \
    debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }

template <class T> T ceil(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? x / y : (x - y + 1) / y);
}

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
#pragma endregion

/**
 * @brief 実行時 modint
 * @docs docs/modulo/modint.md
 */
class dynamic_modint {
    using i64 = int64_t;
    using u32 = uint32_t;
    using u64 = uint64_t;
    static u32& mod() {
        static u32 mod_ = 0;
        return mod_;
    }

public:
    u32 v;
    static void set_mod(const u32 x) {
        assert(x < (u32(1) << 31));
        mod() = x;
    }
    static u32 get_mod() { return mod(); }
    dynamic_modint(const i64 x = 0) : v(x < 0 ? get_mod() - 1 - (-(x + 1) % get_mod()) : x % get_mod()) {}
    u32& value() noexcept { return v; }
    const u32& value() const noexcept { return v; }
    dynamic_modint operator+(const dynamic_modint& rhs) const { return dynamic_modint(*this) += rhs; }
    dynamic_modint operator-(const dynamic_modint& rhs) const { return dynamic_modint(*this) -= rhs; }
    dynamic_modint operator*(const dynamic_modint& rhs) const { return dynamic_modint(*this) *= rhs; }
    dynamic_modint operator/(const dynamic_modint& rhs) const { return dynamic_modint(*this) /= rhs; }
    dynamic_modint& operator+=(const dynamic_modint& rhs) {
        v += rhs.v;
        if (v >= get_mod()) v -= get_mod();
        return *this;
    }
    dynamic_modint& operator-=(const dynamic_modint& rhs) {
        if (v < rhs.v) v += get_mod();
        v -= rhs.v;
        return *this;
    }
    dynamic_modint& operator*=(const dynamic_modint& rhs) {
        v = (u64)v * rhs.v % get_mod();
        return *this;
    }
    dynamic_modint& operator/=(const dynamic_modint& rhs) { return *this *= rhs.pow(get_mod() - 2); }
    dynamic_modint pow(u64 exp) const {
        dynamic_modint self(*this), res(1);
        while (exp > 0) {
            if (exp & 1) res *= self;
            self *= self;
            exp >>= 1;
        }
        return res;
    }
    dynamic_modint& operator++() {
        if (++v == get_mod()) v = 0;
        return *this;
    }
    dynamic_modint& operator--() {
        if (v == 0) v = get_mod();
        return --v, *this;
    }
    dynamic_modint operator++(int) {
        dynamic_modint t = *this;
        return ++*this, t;
    }
    dynamic_modint operator--(int) {
        dynamic_modint t = *this;
        return --*this, t;
    }
    dynamic_modint operator-() { return dynamic_modint(get_mod() - v); }
    template <class T> friend dynamic_modint operator+(T x, dynamic_modint y) { return dynamic_modint(x) + y; }
    template <class T> friend dynamic_modint operator-(T x, dynamic_modint y) { return dynamic_modint(x) - y; }
    template <class T> friend dynamic_modint operator*(T x, dynamic_modint y) { return dynamic_modint(x) * y; }
    template <class T> friend dynamic_modint operator/(T x, dynamic_modint y) { return dynamic_modint(x) / y; }
    bool operator==(const dynamic_modint& rhs) { return v == rhs.v; }
    bool operator!=(const dynamic_modint& rhs) { return v != rhs.v; }
    bool operator!() { return !v; }
    friend istream& operator>>(istream& s, dynamic_modint& rhs) {
        i64 v;
        rhs = dynamic_modint{(s >> v, v)};
        return s;
    }
    friend ostream& operator<<(ostream& s, const dynamic_modint& rhs) { return s << rhs.v; }
};

/**
 * @brief combination
 * @docs docs/combinatorics/combination.md
 */
template <class M> struct Combination {
    vector<M> _fac, _inv, _finv;
    Combination(int n) : _fac(n + 1), _inv(n + 1), _finv(n + 1) {
        _fac[0] = _finv[n] = _inv[0] = 1;
        for (int i = 1; i <= n; i++) _fac[i] = _fac[i - 1] * i;
        _finv[n] /= _fac[n];
        for (int i = n - 1; i >= 0; i--) _finv[i] = _finv[i + 1] * (i + 1);
        for (int i = 1; i <= n; i++) _inv[i] = _finv[i] * _fac[i - 1];
    }
    M fac(int k) const { return _fac[k]; }
    M finv(int k) const { return _finv[k]; }
    M inv(int k) const { return _inv[k]; }
    M P(int n, int r) const {
        if (n < 0 || r < 0 || n < r) return 0;
        return _fac[n] * _finv[n - r];
    }
    M C(int n, int r) const {
        if (n < 0 || r < 0 || n < r) return 0;
        return _fac[n] * _finv[r] * _finv[n - r];
    }
};

const int INF = 1e9;
const long long IINF = 1e18;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const char dir[4] = {'D', 'R', 'U', 'L'};
const long long MOD = 1000000007;
// const long long MOD = 998244353;

using mint = dynamic_modint;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N, mod;
    cin >> N >> mod;
    mint::set_mod(mod);
    Combination<mint> COM(N + 1);

    vector<mint> tree(N + 1);  // i 頂点のラベル付き木の数
    tree[1] = 1;
    for (int i = 2; i <= N; i++) tree[i] = mint(i).pow(i - 2);
    vector<vector<mint>> dp(N + 1, vector<mint>(N + 1, 0));
    dp[0][0] = 1;
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            mint val = dp[i][j];
            if (val == 0) continue;
            for (int k = 1; j + k <= N; k++) {
                dp[i + 1][j + k] += val * COM.C(N - j - 1, k - 1) * tree[k];
            }
        }
    }

    for (int i = 0; i < N; i++) cout << dp[N - i][N] << '\n';
    return 0;
}