#line 2 "/Users/kaage/Desktop/ProgrammingWorkspace/library/other/template.hpp" #define _CRT_SECURE_NO_WARNINGS #pragma target("avx") #pragma optimize("O3") #pragma optimize("unroll-loops") #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 #define rep(i,n) for(int i=0;i<(n);i++) #define REP(i,n) for(int i=1;i<=(n);i++) #define all(V) V.begin(),V.end() typedef long long lint; typedef unsigned long long ulint; typedef std::pair P; typedef std::pair LP; constexpr int INF = INT_MAX/2; constexpr lint LINF = LLONG_MAX/2; constexpr double eps = DBL_EPSILON; constexpr double PI=3.141592653589793238462643383279; template class prique :public std::priority_queue, std::greater> {}; template inline bool chmax(T& lhs, const U& rhs) { if (lhs < rhs) { lhs = rhs; return 1; } return 0; } template inline bool chmin(T& lhs, const U& rhs) { if (lhs > rhs) { lhs = rhs; return 1; } return 0; } inline lint gcd(lint a, lint b) { while (b) { lint c = a; a = b; b = c % b; } return a; } inline lint lcm(lint a, lint b) { return a / gcd(a, b) * b; } bool isprime(lint n) { if (n == 1)return false; for (int i = 2; i * i <= n; i++) { if (n % i == 0)return false; } return true; } template T mypow(T a, lint b) { if (!b)return T(1); if (b & 1)return mypow(a, b - 1) * a; T memo = mypow(a, b >> 1); return memo * memo; } lint modpow(lint a, lint b, lint m) { if (!b)return 1; if (b & 1)return modpow(a, b - 1, m) * a % m; lint memo = modpow(a, b >> 1, m); return memo * memo % m; } template void printArray(std::vector& vec) { rep(i, vec.size()){ std::cout << vec[i]; std::cout<<(i==(int)vec.size()-1?"\n":" "); } } template void printArray(T l, T r) { T rprev = r; rprev--; for (T i = l; i != rprev; i++) { std::cout << *i << " "; } std::cout << *rprev << std::endl; } #line 3 "/Users/kaage/Desktop/ProgrammingWorkspace/library/algebraic/ModInt.hpp" class ModInt { lint value; public: static const unsigned int modulo; ModInt() : value(0) {} template ModInt(T value = 0) : value(value) { if (value < 0)value = -(lint)(-value % modulo) + modulo; this->value = value % modulo; } inline operator int()const { return value; } inline ModInt& operator+=(const ModInt& x) { value += x.value; if (value >= modulo)value -= modulo; return *this; } inline ModInt& operator++() { if (value == modulo - 1)value = 0; else value++; return *this; } inline ModInt operator-()const { return ModInt(0) -= *this; } inline ModInt& operator-=(const ModInt& x) { value -= x.value; if (value < 0)value += modulo; return *this; } inline ModInt& operator--() { if (value == 0)value = modulo - 1; else value--; return *this; } inline ModInt& operator*=(const ModInt& x) { value = value * x.value % modulo; return *this; } inline ModInt& operator/=(ModInt rhs) { int exp = modulo - 2; while (exp) { if (exp & 1)*this *= rhs; rhs *= rhs; exp >>= 1; } return *this; } template ModInt operator+(const T& rhs)const { return ModInt(*this) += rhs; } template ModInt& operator+=(const T& rhs) { return operator+=(ModInt(rhs)); } template ModInt operator-(const T& rhs)const { return ModInt(*this) -= rhs; } template ModInt& operator-=(const T& rhs) { return operator-=(ModInt(rhs)); } template ModInt operator*(const T& rhs)const { return ModInt(*this) *= rhs; } template ModInt& operator*=(const T& rhs) { return operator*=(ModInt(rhs)); } template ModInt operator/(const T& rhs)const { return ModInt(*this) /= rhs; } template ModInt& operator/=(const T& rhs) { return operator/=(ModInt(rhs)); } }; std::istream& operator>>(std::istream& ist, ModInt& x) { lint a; ist >> a; x = a; return ist; } #line 4 "/Users/kaage/Desktop/ProgrammingWorkspace/library/algebraic/NumberTheoreticTransform.hpp" //167772161,3 //469762049,3 //924844033,5 //998244353,3 //1012924417,5 //1224736769,3 const unsigned int ModInt::modulo=998244353; class NumberTheoreticTransform{ private: static void ntt(std::vector& func, const bool& inverse) { int sz = func.size(); if (sz == 1)return; std::vector veca, vecb; rep(i, sz / 2) { veca.push_back(func[2 * i]); vecb.push_back(func[2 * i + 1]); } ntt(veca, inverse); ntt(vecb, inverse); ModInt now = 1, zeta; if(inverse)zeta=mypow(ModInt(3),ModInt::modulo-1-(ModInt::modulo-1)/sz); else zeta=mypow(ModInt(3),(ModInt::modulo-1)/sz); rep(i, sz) { func[i] = veca[i % (sz / 2)] + now * vecb[i % (sz / 2)]; now *= zeta; } } public: template static std::vector multiply(std::vector f, std::vector g) { if(f.size() nf, ng; int sz = 1; while (sz < f.size() + g.size())sz *= 2; nf.resize(sz); ng.resize(sz); rep(i, f.size()) { nf[i] = f[i]; if(i>s; rep(i,s.size())a[s[i]-'a']++; std::sort(a,a+26); fact[0]=1; REP(i,s.size())fact[i]=fact[i-1]*i; inv[s.size()]=ModInt(1)/fact[s.size()]; for(int i=s.size()-1;i>=0;i--)inv[i]=inv[i+1]*(i+1); std::vector ans={1}; rep(i,26){ if(!a[i])continue; std::vector vec(a[i]+1,1); rep(j,ans.size())ans[j]*=inv[j]; rep(j,vec.size())vec[j]*=inv[j]; ans=NumberTheoreticTransform::multiply(ans,vec); while(!ans.back())ans.pop_back(); rep(j,ans.size())ans[j]*=fact[j]; } ModInt res=0; REP(i,ans.size()-1)res+=ans[i]; std::cout<