#if !__INCLUDE_LEVEL__ #include __FILE__ //https://qiita.com/gnbrganchan/items/47118d45b3af9d5ae9a4 template struct mat { // 行列m vector> m; // コンストラクタ:第1引数⇒行数、第2引数⇒列数、第3引数⇒初期値 mat():m(vector>()){} mat(int h,int w):m(vector>(h,vector(w))){} mat(int h,int w, T d):m(vector>(h,vector(w,d))){} // 添字演算子 vector operator[](const int i) const {return m[i];} //読み取り vector& operator[](const int i){return m[i];} //書き込み // 行数・列数 int nrow = sz(m); int ncol = sz(m[0]); // 行列同士の演算 // constexpr mat& operator=(const mat& a){return *a;} constexpr mat& operator+=(const mat& a){assert(ncol == a.ncol && nrow == a.nrow);rep(i,nrow)rep(j,ncol)m[i][j] += a[i][j]; return *this;} constexpr mat& operator-=(const mat& a){assert(ncol == a.ncol && nrow == a.nrow);rep(i,nrow)rep(j,ncol)m[i][j] -= a[i][j]; return *this;} constexpr mat& operator*=(const mat& a){assert(ncol == a.nrow);mat m2(nrow, a.ncol, 0);rep(i,nrow)rep(j,a.ncol)rep(k,ncol)m2[i][j] += m[i][k]*a[k][j];ncol = a.ncol;rep(i,nrow)m[i].resize(ncol);rep(i,nrow)rep(j,ncol)m[i][j] = m2[i][j]; return *this;} constexpr mat operator+(const mat& a) const noexcept { return mat(*this) += a;} constexpr mat operator-(const mat& a) const noexcept { return mat(*this) -= a;} constexpr mat operator*(const mat& a) const noexcept { return mat(*this) *= a;} bool operator==(const mat& a){assert(ncol == a.ncol && nrow == a.nrow);bool flg = true;rep(i,nrow)rep(j,ncol)if(m[i][j] != a[i][j])flg = false; return flg;} // 行列とスカラの演算 mat& operator+=(const T& a){rep(i,nrow)rep(j,ncol)m[i][j] += a;return *this;} mat& operator-=(const T& a){rep(i,nrow)rep(j,ncol)m[i][j] -= a;return *this;} mat& operator*=(const T& a){rep(i,nrow)rep(j,ncol)m[i][j] *= a;return *this;} mat& operator/=(const T& a){rep(i,nrow)rep(j,ncol)m[i][j] /= a;return *this;} mat operator+(const T& a) const { return mat(*this) += a;} mat operator-(const T& a) const { return mat(*this) -= a;} mat operator*(const T& a) const { return mat(*this) *= a;} mat operator/(const T& a) const { return mat(*this) /= a;} // 回転(degの数だけ時計回りに90度回転) mat& rot(int deg){ mat m2(ncol, nrow); if(deg == 1 || deg == 3){ if(deg == 1)rep(i,nrow)rep(j,ncol)m2[j][nrow -i -1] = m[i][j]; if(deg == 3)rep(i,nrow)rep(j,ncol)m2[ncol -j -1][i] = m[i][j]; swap(ncol,nrow); // 列数と行数を入れ替える m.resize(nrow);rep(i,nrow)m[i].resize(ncol); //リサイズ } if(deg == 2)rep(i,nrow)rep(j,ncol)m2[nrow -i -1][ncol -j -1] = m[i][j]; rep(i,nrow)rep(j,ncol)m[i][j] = m2[i][j]; return *this; } //累乗 void pow(ll n){ mat m2=*this; mat res(ncol,nrow); rep(i,ncol)res[i][i]=1; while(n){ if(n&1){ res*=m2; } n>>=1; m2*=m2; } *this=res; return ; } // 標準出力 void show(){ rep(i,nrow)rep(j,ncol){ if(j != 0)cout << " "; cout << m[i][j]; if(j==ncol-1)cout << endl; } return ; } }; // int sample(){ // mat m(2,3,2),m2(3,2,1); // オブジェクトの作成 // V> g(10,mat(3,3)); // 3*3行列*10個 // m[0][0] = 1; // 一部の要素を書き換え // m.show(); // 表示 // cout << endl; // mat m3 = m * m2; // 行列同士の掛け算 // m3.show(); // cout << endl; // m.rot(1); //時計回りに90度回転 // m.show(); // return 0; // } template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator - () const noexcept { return val ? MOD - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr ostream& operator << (ostream &os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; // const int MOD = 1000000007; const int MOD = 998244353; using mint = Fp; struct Solver { void solve() { ll n;cin>>n; mat m(4,4); m[0][2]=m[1][3]=m[2][1]=m[3][0]=m[3][1]=1; m[2][0]=2; // m.show(); m.pow(n-2); mat x(4,1); x[0][0]=x[2][0]=x[3][0]=1; m*=x; // m.show(); mint ans=m[2][0]+m[3][0]-1; cout< #include using namespace atcoder; // #include // #include // using namespace __gnu_pbds; using namespace std; #define int ll using ll=long long; using ld = long double; using uint = unsigned; using ull = unsigned long long; using P=pair; using TP=tuple; template using V = vector; template using max_heap = priority_queue; template using min_heap = priority_queue, greater<>>; #define FOR1(a) for (ll _ = 0; _ < ll(a); ++_) #define FOR2(i, a) for (ll i = 0; i < ll(a); ++i) #define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i) #define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c)) #define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i) #define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c)) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define rrep(...) overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define fore(i,a) for(auto &i:a) #define all(x) x.begin(),x.end() #define sz(x) ((int)(x).size()) #define bp(x) (__builtin_popcountll((long long)(x))) #define elif else if #define mpa make_pair #define bit(n) (1LL<<(n)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()) templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (bistream& operator>>(istream&i,vector&v){rep(j,sz(v))i>>v[j];return i;} templatestring join(const T&v,const string& d=""){stringstream s;rep(i,sz(v))(i?s<ostream& operator<<(ostream&o,const vector&v){if(sz(v))o<istream& operator>>(istream&i,pair&v){return i>>v.first>>v.second;} templateostream& operator<<(ostream&o,const pair&v){return o<bool mins(T1& x,const T2&y){if(x>y){x=y;return true;}else return false;} templatebool maxs(T1& x,const T2&y){if(xTx dup(Tx x, Ty y){return (x+y-1)/y;} templatell suma(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} templatell suma(const V>&a){ll res(0);for(auto&&x:a)res+=suma(x);return res;} templatevoid uni(T& a){sort(rng(a));a.erase(unique(rng(a)),a.end());} templatevoid prepend(vector&a,const T&x){a.insert(a.begin(),x);} const int INF = 1001001001; const ll INFL = 3e18; const int MAX = 2e6+5; #endif