#include #include #include using namespace std; #include using mint = atcoder::modint998244353; // Hook length formula // Complexity: O(sum(hook)) // Verify: https://yukicoder.me/problems/no/2149 template T hook_length_formula(std::vector hook) { if (hook.empty()) return T(1); std::sort(hook.begin(), hook.end()); std::vector len(hook.back()); T num(1), den(1); int sum = 0; for (int l : hook) { for (int j = 0; j < l; ++j) num *= ++sum, den *= (++len.at(j)) + l - 1 - j; } return num / den; } pair solve(const vector &v) { vector hook; int n0 = 0; int total_move = 0; for (auto x : v) { if (x == 0) { ++n0; } else if (n0) { total_move += n0; hook.push_back(n0); } } mint ret = hook_length_formula(hook); return {total_move, ret}; } int main() { cin.tie(nullptr), ios::sync_with_stdio(false); int N; cin >> N; vector seq; int lasta = 0; for (int i = 0; i < N; ++i) { int a; cin >> a; seq.resize(seq.size() + a - lasta, 0); seq.push_back(1); lasta = a; } vector v0, v1; for (int i = 0; i < int(seq.size()); ++i) { (i % 2 ? v1 : v0).push_back(seq.at(i)); } const int n0 = count(v0.cbegin(), v0.cend(), 1); const int n1 = count(v1.cbegin(), v1.cend(), 1); if (n0 < n1 or n1 + 1 < n0) { puts("0"); return 0; } auto [len0, sol0] = solve(v0); auto [len1, sol1] = solve(v1); mint ret = sol0 * sol1; mint den = 1; for (int i = 0; i < len0; ++i) ret *= len0 + len1 - i, den *= i + 1; cout << (ret / den).val() << endl; }