#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const vector& vec){for(int i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; print(tail...); } template void eprintln(const T& ... values){ print(values...); cerr << endl; } string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(int i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } } constexpr long long mod = 9_ten + 7; namespace ExLucasTheorem{ // from uwicoder // http://www37.atwiki.jp/uwicoder/pages/2118.html#id_6779f709 long long C(long n, long r, int p, int q, vector& fact, vector& ifact) { if(n < 0 || r < 0 || r > n)return 0; int P = 1; for(int i = 0;i < q;i++)P*=p; long long z = n - r; int e0 = 0; for(long long u = n/p;u > 0;u /= p)e0 += u; for(long long u = r/p;u > 0;u /= p)e0 -= u; for(long long u = z/p;u > 0;u /= p)e0 -= u; int em = 0; for(long long u = n/P;u > 0;u /= p)em += u; for(long long u = r/P;u > 0;u /= p)em -= u; for(long long u = z/P;u > 0;u /= p)em -= u; long long ret = 1; while(n > 0){ ret = ret * fact[(int)(n%P)] % P * ifact[(int)(r%P)] % P * ifact[(int)(z%P)] % P; n /= p; r /= p; z /= p; } for(int i = 0;i < e0;i++)ret = ret * p % P; if(!(p == 2 && q >= 3) && (em&1)==1)ret = (P-ret) % P; return ret; } vector> makeFF(int p, int q) { int P = 1; for(int i = 0;i < q;i++)P*=p; vector fact(P+1); vector ifact(P+1); fact[0] = 1; for(int i = 1;i <= P;i++){ if(i % p == 0){ fact[i] = fact[i-1]; }else{ fact[i] = fact[i-1] * i % P; } } for(int i = 0;i <= P;i++){ long long ret = 1; long long mul = fact[i]; for(long long n = P/p*(p-1)-1;n > 0;n >>= 1){ if((n&1)==1){ ret = (ret * mul) % P; } mul = (mul * mul) % P; } ifact[i] = (int)ret; } return vector>{fact, ifact}; } } int main(){ int t; cin >> t; vector> f = ExLucasTheorem::makeFF(3,2); while(t--){ string s; cin >> s; bool zero = true; for(int i=0; i v(s.size()); for(int i=0; i