#include using namespace std; #define ALL(x) (x).begin(),(x).end() #define REP(i, n) for(ll i=0; i<(ll)(n); i++) #define PER(i, n) for(ll i=(ll)(n)-1; i>=0; i--) template int LB(const T& v, T x) { return lower_bound(ALL(v),x)-v.begin(); } template int UQ(T& v) { sort(ALL(v)); v.erase(unique(ALL(v)),v.end()); return v.size(); } template bool chmax(T &a, T b) { return a bool chmin(T &a, T b) { return a>b ? a=b, true : false; } template using rpriority_queue = priority_queue,greater>; using ll=long long; const int INF=1e9+10; const ll INFL=4e18; using ld=long double; using lll=__int128_t; using VI=vector; using VVI=vector; using VL=vector; using VVL=vector; using PL=pair; using VP=vector; using WG=vector>>; #ifdef LOCAL #include "./debug.hpp" #else #define debug(...) #define print_line #endif /// @brief ModInt template struct ModInt { ModInt(ll x=0){ value=(x>=0?x%MOD:MOD-(-x)%MOD); } ModInt operator-() const { return ModInt(-value); } ModInt operator+() const { return ModInt(*this); } ModInt& operator+=(const ModInt& other) { value+=other.value; if(value>=MOD) value-=MOD; return*this; } ModInt& operator-=(const ModInt& other) { value+=MOD-other.value; if(value>=MOD) value-=MOD; return*this; } ModInt& operator*=(const ModInt other) { value=value*other.value%MOD; return*this; } ModInt& operator/=(ModInt other) { (*this)*=other.inv(); return*this; } ModInt operator+(const ModInt& other) const { return ModInt(*this)+=other; } ModInt operator-(const ModInt& other) const { return ModInt(*this)-=other; } ModInt operator*(const ModInt& other) const { return ModInt(*this)*=other; } ModInt operator/(const ModInt& other) const { return ModInt(*this)/=other; } bool operator==(const ModInt& other) const { return value==other.value; } bool operator!=(const ModInt& other) const { return value!=other.value; } friend ostream& operator<<(ostream& os, const ModInt& x) { return os<>(istream& is, ModInt& x) { ll v; is>>v; x=ModInt(v); return is; } ModInt pow(ll x) const { ModInt ret(1),mul(value); while(x) { if(x&1) ret*=mul; mul*=mul; x>>=1; } return ret; } ModInt inv() const { return pow(MOD-2); } ll val() {return value; } static constexpr ll get_mod() { return MOD; } private: ll value; }; using Mod998=ModInt<998244353>; using Mod107=ModInt<1000000007>; #define VM vector #define VVM vector> using mint=Mod998; /// @brief 二項係数・階乗計算 template struct Combinatorics { Combinatorics()=default; /// @brief 二項係数の前計算 /// @note O(N) Combinatorics(int n) { fac=vector(n+1); finv=vector(n+1); fac[0]=1; for(int i=1; i<=n; i++) fac[i]=fac[i-1]*i; finv[n]=fac[n].inv(); for(int i=n; i>=1; i--) finv[i-1]=finv[i]*i; } /// @brief nCr を返す /// @note n < 0, r < 0, n < r のときは 0 を返す T comb(ll n, ll r) { if(n<0||r<0||n-r<0) return 0; return fac[n]*finv[r]*finv[n-r]; } /// @brief nPr を返す /// @note n < 0, r < 0, n < r のときは 0 を返す T perm(ll n, ll r) { if(n<0||r<0||n-r<0) return 0; return fac[n]*finv[n-r]; } /// @brief n! を返す T factrial(int n) { return fac[n]; } /// @brief (n!)^-1 を返す T factinv(int n) { return finv[n]; } /// @brief nCr を返す T operator()(ll n, ll r) { return comb(n,r); } private: vector fac,finv; }; //---------------------------------------------------------- void solve() { string S; cin>>S; int N=S.size(); VI C(10); REP(i,N) C[S[i]-'0']++; Combinatorics comb(N); mint ans=comb.factrial(N); REP(i,10) ans*=comb.factinv(C[i]); if(C[0]==0) { cout<>T; while(T--) solve(); }