結果

問題 No.1667 Forest
ユーザー packer_jp
提出日時 2021-09-03 22:21:53
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 789 ms / 3,000 ms
コード長 5,098 bytes
コンパイル時間 3,005 ms
コンパイル使用メモリ 199,712 KB
最終ジャッジ日時 2025-01-24 06:06:53
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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ファイルパターン 結果
sample AC * 3
other AC * 15
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

#include <bits/stdc++.h>
using namespace std;
#define all(a) (a).begin(), (a).end()
using ll = long long;
using ull = unsigned long long;
using vll = vector<ll>;
ull bit(int n) { return 1ull << n; }
ll sign(ll a) { return (a > 0) - (a < 0); }
ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }
ll cdiv(ll a, ll b) { return -fdiv(-a, b); }
template <typename T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
template <typename T> T sq(const T &a) { return a * a; }
template <typename T, typename U> bool chmax(T &a, const U &b) { return ((a < b) ? (a = b, true) : (false)); }
template <typename T, typename U> bool chmin(T &a, const U &b) { return ((a > b) ? (a = b, true) : (false)); }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &a) {
    os << "(";
    for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); }
    os << ")";
    return os;
}
#ifdef ONLINE_JUDGE
#define dump(...) (void(0))
#else
void debug() { cerr << endl; }
template <typename Head, typename... Tail> void debug(Head &&head, Tail &&... tail) {
    cerr << head;
    if (sizeof...(Tail)) cerr << ", ";
    debug(tail...);
}
#define dump(...) cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ", debug(__VA_ARGS__)
#endif
struct rep {
    struct itr {
        int v;
        itr(int v) : v(v) {}
        void operator++() { ++v; }
        int operator*() const { return v; }
        bool operator!=(const itr &i) const { return v != i.v; }
    };
    int l, r;
    rep(int r) : l(min(0, r)), r(r) {}
    rep(int l, int r) : l(min(l, r)), r(r) {}
    itr begin() const { return l; };
    itr end() const { return r; };
};
struct per {
    struct itr {
        int v;
        itr(int v) : v(v) {}
        void operator++() { --v; }
        int operator*() const { return v; }
        bool operator!=(const itr &i) const { return v != i.v; }
    };
    int l, r;
    per(int r) : l(min(0, r)), r(r) {}
    per(int l, int r) : l(min(l, r)), r(r) {}
    itr begin() const { return r - 1; };
    itr end() const { return l - 1; };
};
ll MOD;
struct modint {
    ll val;
    modint(ll val = 0) : val(val >= 0 ? val % MOD : (MOD - (-val) % MOD) % MOD) {}
    static ll mod() { return MOD; }
    modint inv() const {
        ll a = val, b = MOD, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return modint(u);
    }
    modint pow(ll k) const {
        modint ret = 1, mul = val;
        while (k) {
            if (k & 1) ret *= mul;
            mul *= mul;
            k >>= 1;
        }
        return ret;
    }
    modint &operator+=(const modint &a) {
        if ((val += a.val) >= MOD) val -= MOD;
        return *this;
    }
    modint &operator-=(const modint &a) {
        if ((val += MOD - a.val) >= MOD) val -= MOD;
        return *this;
    }
    modint &operator*=(const modint &a) {
        (val *= a.val) %= MOD;
        return *this;
    }
    modint &operator/=(const modint &a) { return *this *= a.inv(); }
    bool operator==(const modint &a) const { return val == a.val; }
    bool operator!=(const modint &a) const { return rel_ops::operator!=(*this, a); }
    modint operator+() const { return *this; }
    modint operator-() const { return modint(-val); }
    friend modint operator+(const modint &a, const modint &b) { return modint(a) += b; }
    friend modint operator-(const modint &a, const modint &b) { return modint(a) -= b; }
    friend modint operator*(const modint &a, const modint &b) { return modint(a) *= b; }
    friend modint operator/(const modint &a, const modint &b) { return modint(a) /= b; }
    friend istream &operator>>(istream &is, modint &a) {
        ll val;
        is >> val;
        a = modint(val);
        return is;
    }
    friend ostream &operator<<(ostream &os, const modint &a) { return os << a.val; }
};
using mint = modint;
template <typename mint> struct combination {
    vector<mint> fact, finv, inv;
    combination(int n) : fact(n + 1), finv(n + 1), inv(n + 1) {
        fact[0] = fact[1] = finv[0] = finv[1] = inv[1] = 1;
        for (int i : rep(2, n + 1)) {
            fact[i] = fact[i - 1] * i;
            inv[i] = -inv[mint::mod() % i] * (mint::mod() / i);
            finv[i] = finv[i - 1] * inv[i];
        }
    }
    mint P(int n, int r) { return r < 0 || n < r ? 0 : (fact[n] * finv[n - r]); }
    mint C(int n, int r) { return P(n, r) * finv[r]; }
    mint H(int n, int r) { return C(n + r - 1, r); }
    mint catalan(int n) { return C(2 * n, n) / (n + 1); }
};
int main() {
    ll m;
    cin >> m >> MOD;
    combination<mint> comb(m);
    vector<mint> cayley(m + 1, 1);
    for (ll i : rep(2, m + 1)) cayley[i] = mint(i).pow(i - 2);
    vector dp(m + 1, vector<mint>(m + 1));
    dp[0][m] = 1;
    for (ll i : rep(m)) {
        for (ll j : rep(1, m + 1)) {
            for (ll k : rep(1, j + 1)) { dp[i + 1][j - k] += dp[i][j] * comb.C(j - 1, k - 1) * cayley[k]; }
        }
    }
    for (ll i : rep(m)) { cout << dp[m - i][0] << endl; }
}
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