結果

問題 No.1310 量子アニーリング
ユーザー 👑 Nachia
提出日時 2020-12-07 00:15:23
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 14 ms / 2,000 ms
コード長 2,433 bytes
コンパイル時間 2,269 ms
コンパイル使用メモリ 194,672 KB
最終ジャッジ日時 2025-01-16 18:45:07
ジャッジサーバーID
(参考情報)
judge3 / judge2
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 * 3
other AC * 21
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<atcoder/all>
//using namespace atcoder;
#include<bits/stdc++.h>
using namespace std;
using LL=long long;
using ULL=unsigned long long;
#define rep(i,n) for(int i=0;i<(n);i++)
template<ULL M>
struct static_modint {
ULL x;
static_modint(ULL val = 0) : x(val) {}
template<class intTy, enable_if_t<is_integral<intTy>::value&& is_unsigned<intTy>::value, void*> isUnsignedInt = nullptr>
static static_modint mod_construct(intTy val) { return static_modint(val % M); }
template<class intTy, enable_if_t<is_integral<intTy>::value&& is_signed<intTy>::value, void*> isSignedInt = nullptr>
static static_modint mod_construct(intTy val) { LL buf = val % (LL)M; if (buf < 0) buf += M; return static_modint((ULL)buf); }
static_modint operator-() const { if (x == 0) return 0; else return M - x; }
static_modint& operator+=(static_modint r) { x += r.x; if (x >= M) x -= M; return *this; }
static_modint operator+(static_modint r) const { static_modint res = x; return res += r; }
static_modint& operator-=(static_modint r) { x += M - r.x; if (x >= M) x -= M; return *this; }
static_modint operator-(static_modint r) const { static_modint res = x; return res -= r; }
static_modint& operator*=(static_modint r) { x = x * r.x % M; return *this; }
static_modint operator*(static_modint r) const { return static_modint(x * r.x % M); }
static_modint pow(ULL r) const {
if (r == 0) return static_modint(1);
static_modint res = pow(r / 2);
res *= res;
if (r % 2) res *= *this;
return res;
}
static_modint inv() const { return pow(M - 2); }
static_modint& operator/=(static_modint r) { *this *= r.inv(); return *this; }
static_modint operator/(static_modint r) const { return *this * r.inv(); }
ULL& operator*() { return x; }
const ULL& operator*() const { return x; }
bool operator==(static_modint r) const { return x == *r; }
bool operator!=(static_modint r) const { return x != *r; }
};
const ULL M=998244353;
using MLL = static_modint<M>;
const int Z=200000;
MLL F[Z+1], I[Z+1], iF[Z+1];
MLL P[Z+1];
int main(){
int N; cin>>N;
F[0]=I[1]=iF[0]=1;
for(int i=1; i<=N; i++) F[i]=F[i-1]*i;
for(int i=2; i<=N; i++) I[i]=-(MLL(M/i)*I[M%i]);
for(int i=1; i<=N; i++) iF[i]=iF[i-1]*I[i];
P[0]=1;
for(int i=1; i<=N; i++) P[i]=P[i-1]*2;
vector<MLL> C(N+1); rep(i,N+1) C[i]=F[N]*iF[i]*iF[N-i];
MLL ans=0;
for(int i=0; i<=N; i+=2) ans+=C[i]*P[abs(N-2*i)]*2;
cout<<*ans<<endl;
return 0;
}
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