#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(a) for(int i = (a)-1; i >= 0; i--) #define rrep2(i, a) for(int i = (a)-1; i >= 0; i--) #define rrep3(i, a, b) for(int i = (b)-1; i >= a; i--) #define rrep4(i, a, b, c) for(int i = (b)-1; i >= a; i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; using vi = vector; using vl = vector; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % mod) { if (val < 0) val += mod; } constexpr int getmod() { return mod; } constexpr Fp operator - () const noexcept { return val ? mod - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= mod) val -= mod; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += mod; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % mod; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = mod, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % mod; if (val < 0) val += mod; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream &is, const Fp& x) noexcept { int val; is >> val; x = Fp(val); return is; } friend constexpr ostream& operator << (ostream &os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; //const int mod = 1e9+7; const int mod = 998244353; using mint = Fp; struct eratosthenes{ vector isprime; vector minfactor; vector mobius; eratosthenes(int n) : isprime(n+1,true), minfactor(n+1, -1), mobius(n+1,1){ isprime[1] = false; minfactor[1] = 1; for(int i = 2; i <= n; i++){ if(!isprime[i]) continue; minfactor[i] = i; mobius[i] = -1; for(int j = i+i; j <= n; j += i){ isprime[j] = false; if(minfactor[j] == -1) minfactor[j] = i; if((j/i)%i == 0) mobius[j] = 0; else mobius[j] *= -1; } } } vector> factorize(int n){ vector> res; while(n > 1){ int p = minfactor[n]; int e = 0; while(minfactor[n] == p){ n /= p; e++; } res.push_back({p,e}); } return res; } vector divisor(int n){ vector res; res.pb(1); auto v = factorize(n); for(auto x : v){ int s = res.size(); rep(i,s){ int m = 1; rep(j,x.second){ m *= x.first; res.push_back(res[i]*m); } } } return res; } template void fzt(vector &f){ int n = f.size(); for(int p = 2; p < n; p++){ if(!isprime[p]) continue; for(int q = (n-1)/p; q > 0; q--){ f[q] += f[p*q]; } } } template void fmt(vector &f){ int n = f.size(); for(int p = 2; p < n; p++){ if(!isprime[p]) continue; for(int q = 1; q*p < n; q++){ f[q] -= f[p*q]; } } } template vector conv(const vector &f, const vector &g){ int n = max(f.size(), g.size()); vector nf(n), ng(n), h(n); rep(i,f.size()) nf[i] = f[i]; rep(i,g.size()) ng[i] = g[i]; fzt(nf); fzt(ng); rep(i,n) h[i] = nf[i]*ng[i]; fmt(h); return h; } }; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n,p,q; in(n,p,q); if(p == 1 or q == 1) { out(2); return 0; } else if(p+q <= n) { out(4); return 0; } eratosthenes si(n+1); vector f(n); iota(ALL(f),0); reverse(f.begin(), f.begin()+p); reverse(f.begin()+n-q, f.begin()+n); vector ex(n+1); vector seen(n,false); rep(i,n) if(!seen[i]){ int c = 0; int now = i; while(!seen[now]){ c++; seen[now] = true; now = f[now]; } for(auto [p,e] : si.factorize(c)){ chmax(ex[p],e); } } mint ans = 1; rep(i,1,n+1) if(ex[i]) ans *= modpow(mint(i), ex[i]); out(ans*2); }