#include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } struct UnionFind{ vector par; vector siz; vector edg; UnionFind(int N) : par(N), siz(N), edg(N){ for(int i = 0; i < N; ++i){ par[i] = i; siz[i] = 1; edg[i] = 0; } } int root(int x){ if(par[x] == x) return x; return par[x] = root(par[x]); } void unite(int x, int y){ int rx = root(x); int ry = root(y); if(rx == ry){ edg[rx]++; return; } par[rx] = ry; siz[ry] += siz[rx]; edg[ry] += edg[rx] + 1; } bool same(int x, int y){ int rx = root(x); int ry = root(y); return rx == ry; } long long size(int x){ return siz[root(x)]; } long long edge(int x){ return edg[root(x)]; } }; template struct ModInt{ long long val; constexpr ModInt(const long long &_val = 0) noexcept : val(_val) { normalize(); } void normalize(){ val = (val % Modulus + Modulus) % Modulus; } inline ModInt& operator+=(const ModInt& rhs) noexcept { if(val += rhs.val, val >= Modulus) val -= Modulus; return *this; } inline ModInt& operator-=(const ModInt& rhs) noexcept { if(val -= rhs.val, val < 0) val += Modulus; return *this; } inline ModInt& operator*=(const ModInt& rhs) noexcept { val = val * rhs.val % Modulus; return *this; } inline ModInt& operator/=(const ModInt& rhs) noexcept { val = val * inv(rhs.val).val % Modulus; return *this; } inline ModInt& operator++() noexcept { if(++val >= Modulus) val -= Modulus; return *this; } inline ModInt operator++(int) noexcept { ModInt t = val; if(++val >= Modulus) val -= Modulus; return t; } inline ModInt& operator--() noexcept { if(--val < 0) val += Modulus; return *this; } inline ModInt operator--(int) noexcept { ModInt t = val; if(--val < 0) val += Modulus; return t; } inline ModInt operator-() const noexcept { return (Modulus - val) % Modulus; } inline ModInt inv(void) const { return inv(val); } ModInt inv(const long long& n) const { long long a = n, b = Modulus, u = 1, v = 0; while(b){ long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= Modulus; if(u < 0) u += Modulus; return u; } friend inline ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) += rhs; } friend inline ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) -= rhs; } friend inline ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) *= rhs; } friend inline ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) /= rhs; } friend inline bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val == rhs.val; } friend inline bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val != rhs.val; } friend inline istream& operator>>(istream& is, ModInt& x) noexcept { is >> x.val; x.normalize(); return is; } friend inline ostream& operator<<(ostream& os, const ModInt& x) noexcept { return os << x.val; } }; namespace modcalc{ template T modpow(T x, T n, const T &m){ T ret = 1 % m; x %= m; while(n > 0){ if(n & 1) (ret *= x) %= m; (x *= x) %= m; n >>= 1; } return ret; } template T modinv(T a, T m){ T b = m, u = 1, v = 0; while(b){ T t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } template T modarithmeticsum(T a, T d, T n, T m){ T m2 = m * 2; a %= m2, n %= m2, d %= m2; T b = (n - 1) * d % m2; return ((n * (a * 2 + b) % m2) / 2) % m; } template T modgeometricsum(T a, T r, T n, T m){ a %= m; if(r == 1){ n %= m; return a * n % m; } return a * (modpow(r, n, m) + m - 1) % m * modinv(r - 1, m) % m; } template T modgeometricsum2(T a, T r, T n, T m){ a %= m; if(r == 1){ n %= m; return a * n % m; } T ret = 0; T x = 1 % m; T sum = 0; for(int i = 0; n > 0; ++i){ if(n & 1){ (ret += x * modpow(r, sum, m) % m) %= m; sum |= 1LL << i; } (x += x * modpow(r, 1LL << i, m) % m) %= m; n >>= 1; } return a * ret % m; } } struct Combination{ vector memo, memoinv, inv; const long long mod; Combination(const int &N, const long long &m) : memo(N + 1), memoinv(N + 1), inv(N + 1), mod(m){ memo[0] = memo[1] = 1; memoinv[0] = memoinv[1] = 1; inv[1] = 1; for(int i = 2; i <= N; ++i){ memo[i] = memo[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (m / i) % mod; memoinv[i] = memoinv[i - 1] * inv[i] % mod; } } inline long long fact(const long long &n) const { return memo[n]; } inline long long factinv(const long long &n) const { return memoinv[n]; } inline long long ncr(const long long &n, const long long &r) const { if(n < r || r < 0) return 0; return (memo[n] * memoinv[r] % mod) * memoinv[n - r] % mod; } inline long long npr(const long long &n, const long long &r) const { if(n < r || r < 0) return 0; return (memo[n] % mod) * memoinv[n - r] % mod; } inline long long nhr(const long long &n, const long long &r) const { if(n == 0 && r == 0) return 1; return ncr(n + r - 1, r); } }; ll n, a, b; using mint = ModInt<998244353>; void input(){ in(n, a, b); } void solve(){ Combination comb(n, MOD); mint ans = comb.fact(n); ans -= 2 * comb.fact(n - 1); if(a != b) ans += comb.fact(n - 2); out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }