結果

問題 No.1754 T-block Tiling
ユーザー RVindicatio
提出日時 2021-11-20 14:01:55
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 2,581 bytes
コンパイル時間 2,244 ms
コンパイル使用メモリ 169,820 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-06-11 14:54:18
合計ジャッジ時間 2,336 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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 * 1
other AC * 1
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;
using ll = long long;
const int INF = 1e9;
const ll inf = 1LL<<60;
template<int MOD> struct ModInt {
    static const int Mod = MOD; unsigned x; ModInt() : x(0) { }
    ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    int get() const { return (int)x; }
    ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
    ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }
    ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
    ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
    ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
    ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
    ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0;
        while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); }
        return ModInt(u); }
    bool operator==(ModInt that) const { return x == that.x; }
    bool operator!=(ModInt that) const { return x != that.x; }
    ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; };
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
    ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; }
typedef ModInt<998244353> mint;
template<typename T>
struct Combination {
private:
  int sz;
  vector<T> F, F_;
public:
  Combination(int sz) : sz(sz), F(sz+1), F_(sz+1) {
    F[0] = 1;
    for(int i = 0; i < sz; ++i) F[i+1] = F[i]*(i+1);
    F_.back() = (T)1/F.back();
    for(int i = sz-1; i >= 0; --i) F_[i] = F_[i+1]*(i+1);
  }
  T C(int n, int k){
    assert(n <= sz);
    if(n < 0 or k > n) return (T)0;
    return F[n]*F_[k]*F_[n-k];
  }
  T P(int n, int k){
    assert(n <= sz);
    if(n < 0 or k > n) return (T)0;
    return F[n]*F_[n-k];
  }
};
int main() {
  int t; cin >> t;
  Combination<mint> comb(1000);
  while (t--) {
    int n; cin >> n;
    mint ans = mint(0);
    for (int i=n; i>=1; i--) {
      int k = n-i;
      mint tmp = comb.C(k+(i-1), k);
      mint q = mint(2)^(i);
      ans += q*tmp;
    }
    cout << ans << endl;
  }
}
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