#include #include #include #include #include #include #include using namespace std; using ll = long long; #include #include using mint = atcoder::modint998244353; #define conv(a,b) atcoder::convolution(a,b) ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } template < typename mint > struct FPS:vector{ FPS(){} FPS(int n){ this->resize(n); } FPS(vectora){ *this = a; } FPS &operator+=(const FPS&r){ if(r.size()>this->size()) this->resize(r.size()); for(int i = 0;i<(int)r.size();i++) (*this)[i] += r[i]; return *this; } FPS &operator+=(const mint&r){ if(this->empty()) this->resize(1); (*this)[0] += r; return *this; } FPS &operator-=(const FPS&r){ if(r.size()>this->size()) this->resize(r.size()); for(int i = 0;i<(int)r.size();i++) (*this)[i] -= r[i]; return *this; } FPS &operator-=(const mint&r){ if(this->empty()) this->resize(1); (*this)[0] -= r; return *this; } FPS &operator*=(const FPS&r){ vector nxt = conv(*this,r); this->resize(nxt.size()); for(int i = 0;isize();i++) (*this)[i] *= r; return *this; } FPS operator+(const FPS&r) const {return FPS(*this)+=r;} FPS operator+(const mint&r) const {return FPS(*this)+=r;} FPS operator-(const FPS&r) const {return FPS(*this)-=r;} FPS operator-(const mint&r) const {return FPS(*this)-=r;} FPS operator*(const FPS&r) const {return FPS(*this)*=r;} void print(){ for(int i = 0;i<(int)this->size();i++){ if(i) cout<<" "; cout<<(*this)[i]; } cout<size()-1;} // f^-1 mod x^n FPS inv(int n){ assert((*this)[0].val()!=0); FPS g(1); g[0] = 1/(*this)[0]; ll now = 1; FPS tmp(1); tmp[0] = 2; while(nownow) g.resize(now); } g.resize(n); return g; } FPS diff(){ FPSg(this->size()-1); for(int i = 0;i+1size();i++) g[i] = mint(i+1) * (*this)[i+1]; return g; } FPS integral(){ FPSg(this->size()+1); g[0] = 0; for(int i = 1;i<=this->size();i++) g[i] = (*this)[i-1] / mint(i); return g; } FPS log(int n){ assert((*this)[0].val()==1); return ((*this).diff() * (*this).inv(n-1)).integral(); } FPS exp(int n){ assert((*this)[0].val()==0); FPS g(1); g[0] = 1; ll now = 1; FPS tmp(1); tmp[0] = 1; while(nownow) g.resize(now); } return g; } }; template < typename mint > FPS pow(FPS&a,ll k,int n){ FPS ans(n+1); ans[0] += 1; FPS tmp = a; tmp.resize(n+1); while(k){ if(k&1){ ans *= tmp; ans.resize(n+1); } tmp *= tmp; tmp.resize(n+1); k>>=1; } return ans; } mint fac[1<<17],ifac[1<<17]; int main(){ cin.tie(nullptr); ios::sync_with_stdio(false); ll n,b,c; cin>>n>>b>>c; fac[0] = 1; for(int i = 1;i<1<<17;i++) fac[i] = fac[i-1] * i; for(int i = 0;i<1<<17;i++) ifac[i] = fac[i].inv(); FPS f(n+1),g(n+1); FPS now(1); now[0] = 1; for(int i = 0;i<=n;i++){ if(i%2==0) f[i] += fac[n] * ifac[i] * ifac[n-i]; else g[i] += fac[n] * ifac[i] * ifac[n-i]; } for(int i = 0;i<=60;i++){ FPS nxt; if(c&1) nxt = now * g; else nxt = now * f; now = FPS(1); for(int j = 0;jb) break; if(j%2==b%2){ int want = j >> 1; if(want>=now.size()) now.resize(want+1); now[want] += nxt[j]; } } c >>= 1; b >>= 1; } cout<