#include using namespace std; using LL = long long; using ULL = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) template struct static_modint { ULL x; static_modint(ULL val = 0) : x(val) {} template::value&& is_unsigned::value, void*> isUnsignedInt = nullptr> static static_modint mod_construct(intTy val) { return static_modint(val % M); } template::value&& is_signed::value, void*> isSignedInt = nullptr> static static_modint mod_construct(intTy val) { LL buf = val % (LL)M; if (buf < 0) buf += M; return static_modint((ULL)buf); } static_modint operator-() const { if (x == 0) return 0; else return M - x; } static_modint& operator+=(static_modint r) { x += r.x; if (x >= M) x -= M; return *this; } static_modint operator+(static_modint r) const { static_modint res = x; return res += r; } static_modint& operator-=(static_modint r) { x += M - r.x; if (x >= M) x -= M; return *this; } static_modint operator-(static_modint r) const { static_modint res = x; return res -= r; } static_modint& operator*=(static_modint r) { x = x * r.x % M; return *this; } static_modint operator*(static_modint r) const { return static_modint(x * r.x % M); } static_modint pow(ULL r) const { if (r == 0) return static_modint(1); static_modint res = pow(r / 2); res *= res; if (r % 2) res *= *this; return res; } static_modint inv() const { return pow(M - 2); } static_modint& operator/=(static_modint r) { *this *= r.inv(); return *this; } static_modint operator/(static_modint r) const { return *this * r.inv(); } ULL& operator*() { return x; } const ULL& operator*() const { return x; } bool operator==(static_modint r) const { return x == *r; } bool operator!=(static_modint r) const { return x != *r; } }; const ULL M = 998244353; using MLL = static_modint; void NTT(vector& A,MLL g){ int N=A.size(); for(int i=0,j=0; j>1; k>(i^=k); k>>=1); } for(int i=1; i convolution(const vector& A,const vector& B) { const MLL g=3; int Z=1; while(Z Ax(Z),Bx(Z); MLL iZ=MLL(Z).inv(); rep(i,Z) Ax[i]=Bx[i]=0; rep(i,A.size()) Ax[i]=A[i]; rep(i,B.size()) Bx[i]=B[i]; NTT(Ax,g); NTT(Bx,g); rep(i,Z) Ax[i]=Ax[i]*Bx[i]; NTT(Ax,g.inv()); rep(i,Z) Ax[i]=Ax[i]*iZ; Ax.resize(A.size()+B.size()-1); return move(Ax); } const int Z = 300000; MLL F[Z+1], I[Z+1], iF[Z+1]; vector A[26]; int main() { rep(i,26) A[i] = {1}; { string S; cin>>S; for(int c:S) A[c-'a'].push_back(1); } F[0]=I[1]=iF[0]=1; for(int i=1; i<=Z; i++) F[i]=F[i-1]*i; for(int i=2; i<=Z; i++) I[i]=-MLL(M/i)*I[M%i]; for(int i=1; i<=Z; i++) iF[i]=iF[i-1]*I[i]; rep(c,26) rep(i,A[c].size()) A[c][i] *= iF[i]; priority_queue> Q; rep(i,26) Q.push({ -(int)A[i].size(), i }); while(Q.size()>=2){ int p1=Q.top().second; Q.pop(); int p2=Q.top().second; Q.pop(); A[p1]=convolution(A[p1],A[p2]); Q.push({-(int)A[p1].size(),p1}); } int p=Q.top().second; Q.pop(); rep(i,A[p].size()) A[p][i] *= F[i]; MLL ans = 0; for(int i=1; i