/* Problem URL: https://codeforces.com/contest/1000/problem/D */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vl a(n); cin >> a; ll mod = 998244353; vvl comb(n, vl(n)); comb[0][0] = 1; nrep(i, 1, n) { comb[i][0] = 1; comb[i][i] = 1; nrep(k, 1, n) { comb[i][k] = (comb[i - 1][k] + comb[i - 1][k - 1]) % mod; } } vl memo(n, -1); function dp = [&](int i) -> ll { if (i >= n) { return 1; } ll &ans = memo[i]; if (ans != -1) { return ans; } ans = 0; if (a[i] <= 0 || a[i] + i + 1 > n) { return 0; } ll now = 0; nrep(j, i + a[i] + 1, n + 1) { ans += dp(j) * comb[a[i] + now][a[i]]; ans %= mod; now++; } return ans; }; ll ans = 0; rep(i, n) { ans += dp(i); ans %= mod; } cout << ans << '\n'; }