// Problem: No.2156 ぞい文字列 No.2156 小串 // Contest: yukicoder // URL: https://yukicoder.me/problems/no/2156 // Memory Limit: 512 MB // Time Limit: 2000 ms #include #define fastio ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); #define dbg(x) cout << #x << " = " << (x) << "\n"; #define popcount(x) __builtin_popcountll((x)) #define all(v) (v).begin(), (v).end() #define pb emplace_back #define x first #define y second using namespace std; typedef long long ll; typedef pair pll; const int inf = 0x3f3f3f3f; const int MOD = 998244353; const int sz = 2; struct MAT { ll a[sz][sz]; inline MAT() { memset(a, 0, sizeof a); } inline MAT operator-(const MAT& T) const { MAT res; for (int i = 0; i < sz; ++i) for (int j = 0; j < sz; ++j) { res.a[i][j] = (a[i][j] - T.a[i][j]) % MOD; } return res; } inline MAT operator+(const MAT& T) const { MAT res; for (int i = 0; i < sz; ++i) for (int j = 0; j < sz; ++j) { res.a[i][j] = (a[i][j] + T.a[i][j]) % MOD; } return res; } inline MAT operator*(const MAT& T) const { MAT res; int r; for (int i = 0; i < sz; ++i) for (int k = 0; k < sz; ++k) { r = a[i][k]; for (int j = 0; j < sz; ++j) res.a[i][j] += T.a[k][j] * r, res.a[i][j] %= MOD; } return res; } inline MAT operator^(ll x) const { MAT res, bas; for (int i = 0; i < sz; ++i) res.a[i][i] = 1; for (int i = 0; i < sz; ++i) for (int j = 0; j < sz; ++j) bas.a[i][j] = a[i][j] % MOD; while (x) { if (x & 1) res = res * bas; bas = bas * bas; x >>= 1; } return res; } }; void solve() { ll n; cin >> n; n -= 1; MAT a, b; a.a[0][0] = a.a[0][1] = 1; b.a[0][0] = b.a[0][1] = b.a[1][0] = 1; b = b ^ n; a = a * b; cout << (a.a[0][0] - 1 + MOD) % MOD << "\n"; } int main() { fastio; int t = 1; // cin >> t; while (t--) { solve(); } return 0; }