結果

問題 No.1964 sum = length
ユーザー 🍮かんプリン
提出日時 2022-06-06 00:48:35
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 4,653 bytes
コンパイル時間 1,933 ms
コンパイル使用メモリ 177,488 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-09-21 04:25:23
合計ジャッジ時間 3,182 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
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 40
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

/**
 *   @FileName  a.cpp
 *   @Author    kanpurin
 *   @Created   2022.06.06 00:48:26
**/
#include "bits/stdc++.h" 
using namespace std; 
typedef long long ll;
template< int MOD >
struct mint {
public:
    unsigned int x;
    mint() : x(0) {}
    mint(long long v) {
        long long w = (long long)(v % (long long)(MOD));
        if (w < 0) w += MOD;
        x = (unsigned int)(w);
    }
    mint(std::string &s) {
        unsigned int z = 0;
        for (int i = 0; i < s.size(); i++) {
            z *= 10;
            z += s[i] - '0';
            z %= MOD;
        }
        x = z;
    }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint& operator+=(const mint &a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint &a) {
        if ((x -= a.x) >= MOD) x += MOD;
        return *this;
    }
    mint& operator*=(const mint &a) {
        unsigned long long z = x;
        z *= a.x;
        x = (unsigned int)(z % MOD);
        return *this;
    }
    mint& operator/=(const mint &a) {return *this = *this * a.inv(); }
    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs.x == rhs.x;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs.x != rhs.x;
    }
    friend std::ostream& operator<<(std::ostream &os, const mint &n) {
        return os << n.x;
    }
    friend std::istream &operator>>(std::istream &is, mint &n) {
        unsigned int x;
        is >> x;
        n = mint(x);
        return is;
    }
    mint inv() const {
        assert(x);
        return pow(MOD-2);
    }
    mint pow(long long n) const {        
        assert(0 <= n);
        mint p = *this, r = 1;
        while (n) {
            if (n & 1) r *= p;
            p *= p;
            n >>= 1;
        }
        return r;
    }
    
    mint sqrt() const {
        if (this->x < 2) return *this;
        if (this->pow((MOD-1)>>1).x != 1) return mint(0);
        mint b = 1, one = 1;
        while (b.pow((MOD-1) >> 1) == 1) b += one;
        long long m = MOD-1, e = 0;
        while (m % 2 == 0) m >>= 1, e += 1;
        mint x = this->pow((m - 1) >> 1);
        mint y = (*this) * x * x;
        x *= (*this);
        mint z = b.pow(m);
        while (y.x != 1) {
            int j = 0;
            mint t = y;
            while (t != one) j += 1, t *= t;
            z = z.pow(1LL << (e-j-1));
            x *= z; z *= z; y *= z; e = j;
        }
        return x;
    }
};
constexpr int MOD = 998244353;
vector<mint<MOD>> pow_sparse(vector<mint<MOD>> f, ll m) {
    assert(f.size() > 0 && f[0] != 0);
    vector<mint<MOD>> g(f.size());
    vector<int> fl;
    mint<MOD> invf0 = f[0].inv();
    vector<ll> inv(g.size(),1);
    g[0] = f[0].pow(m);
    for (int i = 2; i < g.size(); i++) inv[i] = MOD - (MOD / i) * inv[MOD%i] % MOD;
    for (int i = 0; i < f.size(); i++) {
        if (f[i] == 0) continue;
        fl.push_back(i);
    }
    for (int i = 1; i < g.size(); i++) {
        for (int j = 0; j < fl.size(); j++) {
            int p = fl[j];
            if (1 <= p && p <= i) g[i] += f[p]*g[i-p]*p*m;
            if (1 <= p && p <= i-1) g[i] -= f[p]*g[i-p]*(i-p);
        }
        g[i] = g[i]*f[0]*inv[i];
    }
    return g;
}
template<typename T>
struct Combination {
private:
    int N;
public:
    vector< T > FACT, IFACT;
    Combination(int n) : N(n) {
        FACT.resize(n + 1);
        IFACT.resize(n + 1);
        FACT[0] = 1;
        for (int i = 1; i <= n; i++) {
            FACT[i] = FACT[i - 1] * i;
        }
        IFACT[n] = T(1) / FACT[n];
        for (int i = n-1; i >= 0; i--) {
            IFACT[i] = IFACT[i+1] * (i+1);
        }
    }
    T comb(int n, int r) {
        if (n < 0 || r < 0 || r > n) return 0;
        if (r > n / 2) r = n - r;
        return FACT[n] * IFACT[n - r] * IFACT[r];
    }
};
int main() {
    int n;cin >> n;
    vector<mint<MOD>> f(201);
    Combination<mint<MOD>> cb(2*n);
    f[0] = 1;
    f[8] = 1;
    f[9] = -1;
    f[97] = 1;
    f[98] = -1;
    f = pow_sparse(f,n);
    mint<MOD> ans = 0;
    for (int i = 0; i <= n-1; i++) {
        ans += f[i]*cb.comb(2*n-i-2,n-1-i);
    }
    cout << ans << endl;
    return 0;
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0