#include #include #include using namespace std; using namespace atcoder; using mint2 = modint998244353; using ll = long long; #define FOR(i, a, b) for(ll i=(a); i<(b);i++) #define REP(i, n) for(ll i=0; i<(n);i++) #define ROF(i, a, b) for(ll i=(b-1); i>=(a);i--) #define PER(i, n) for(ll i=n-1; i>=0;i--) #define VL vector #define all(i) begin(i),end(i) template vector read(size_t n) { vector ts(n); for (size_t i = 0; i < n; i++) cin >> ts[i]; return ts; } ll n; VL a; vector rev(vector& f, ll mod) { vector res = { mint2(1) / f[0] }; ll t = 1; while (t < mod) { t *= 2; auto m = convolution(res, res); m = convolution(m, f); vector nres(t); REP(i, t) { if (i < res.size()) nres[i] += 2 * res[i]; if (i < m.size()) nres[i] += -m[i]; } res = nres; } return res; } vector div(vector& f, vector& g) { auto rf = f; auto rg = g; reverse(all(rf)); reverse(all(rg)); auto q = convolution(rf, rev(rg, f.size() - g.size() + 1)); while (q.size() > f.size() - g.size() + 1) { q.pop_back(); } reverse(all(q)); auto gq = convolution(g, q); auto res = f; REP(i, res.size()) { if (i < gq.size()) { res[i] -= gq[i]; } } while (res.back() == 0 && res.size() > 1) { res.pop_back(); } return res; } mint2 solve3(ll l1, ll l2, ll d) { ll c = 1; while (c < d) { c *= 2; } VL a1(d), a2(d); REP(i, d) { a2[i] = a[l1 + i]; a1[i] = a[l2 + i]; } vector> f1(c * 2); vector> f2(c * 2); FOR(i, c, c * 2) { if (i < c + d) { f1[i].assign(2, 1); f1[i][0] = -a1[i - c]; f2[i].assign(2, 1); f2[i][0] = -a2[i - c]; } else { f1[i].assign(1, 1); f2[i].assign(1, 1); } } PER(i, c) { f1[i] = convolution(f1[i * 2], f1[i * 2 + 1]); f2[i] = convolution(f2[i * 2], f2[i * 2 + 1]); } f1[1] = div(f1[1], f2[1]); FOR(i, 2, 2 * c) { auto& p = f1[i / 2]; if (f2[i].size() != 1) f1[i] = div(p, f2[i]); } mint2 res = 1; FOR(i, c, 2 * c) { res *= f1[i][0]; } return res; } mint2 solve2(ll l, ll r) { if (l >= r - 1) return 1; mint2 res = 1; ll d = (r - l) / 2; res *= solve3(l, r - d, d); res *= solve2(l, r - d); res *= solve2(l + d, r); return res; } void solve() { cin >> n; a = read(n); mint2 ans = 1; cout << solve2(0, n).val(); } int main() { ll t = 1; //cin >> t; while (t--) { solve(); } return 0; }