#include #include #include #include namespace nachia{ namespace prime_sieve_explicit_internal{ std::vector isprime = { false }; // a[x] := isprime(2x+1) void CalcIsPrime(int z){ if((int)isprime.size() *2+1 < z+1){ int new_z = isprime.size(); while(new_z*2+1 < z+1) new_z *= 2; z = new_z-1; isprime.resize(z+1, true); for(int i=1; i*(i+1)*2<=z; i++) if(isprime[i]){ for(int j=i*(i+1)*2; j<=z; j+=i*2+1) isprime[j] = false; } } } std::vector prime_list = {2}; int prime_list_max = 0; void CalcPrimeList(int z){ while((int)prime_list.size() < z){ if((int)isprime.size() <= prime_list_max + 1) CalcIsPrime(prime_list_max * 2 + 10); for(int p=prime_list_max+1; p<(int)isprime.size(); p++){ if(isprime[p]) prime_list.push_back(p*2+1); } prime_list_max = isprime.size() - 1; } } void CalcPrimeListUntil(int z){ if(prime_list_max < z){ CalcIsPrime(z); for(int p=prime_list_max+1; p<(int)isprime.size(); p++){ if(isprime[p]) prime_list.push_back(p*2+1); } prime_list_max = isprime.size() - 1; } } } bool IsprimeExplicit(int n){ using namespace prime_sieve_explicit_internal; if(n == 2) return true; if(n % 2 == 0) return false; CalcIsPrime(n); return isprime[(n-1)/2]; } int NthPrimeExplicit(int n){ using namespace prime_sieve_explicit_internal; CalcPrimeList(n); return prime_list[n]; } int PrimeCountingExplicit(int n){ using namespace prime_sieve_explicit_internal; if(n < 2) return 0; CalcPrimeListUntil(n); auto res = std::upper_bound(prime_list.begin(), prime_list.end(), n) - prime_list.begin(); return (int)res; } // [l, r) std::vector SegmentedSieveExplicit(long long l, long long r){ assert(0 <= l); assert(l <= r); long long d = r - l; if(d == 0) return {}; std::vector res(d, true); for(long long p=2; p*p<=r; p++) if(IsprimeExplicit(p)){ long long il = (l+p-1)/p, ir = (r+p-1)/p; if(il <= p) il = p; for(long long i=il; i #define rep(i,n) for(int i=0; i=0; i--) using namespace std; const int MOD = 998244353; int f(int N, int p, int q){ if(p == 1 && q == 1) return 1; if(p == 1 || q == 1) return 2; if(p + q <= N) return 4; vector A(N); rep(i,N){ int j = i; if(j < p) j = p - 1 - j; j = N - 1 - j; if(j < q) j = q - 1 - j; j = N - 1 - j; A[i] = j; } vector vis(N, 0); vector P(N+1); rep(s,N) if(!vis[s]){ int p = s; int cnt = 0; while(true){ if(vis[p]) break; vis[p] = 1; cnt++; p = A[p]; } P[cnt] = 1; } long long ans = 1; for(int p=2; p<=N; p++) if(nachia::IsprimeExplicit(p)){ long long pp = p; while(true){ bool ok = false; for(long long q=pp; q<=N; q+=pp) if(P[q]) ok = true; if(!ok) break; pp *= p; } ans = (ans * (pp / p)) % MOD; } ans = ans * 2 % MOD; return ans; } int main(){ std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int N, p, q; cin >> N >> p >> q; cout << f(N,p,q) << endl; return 0; }