#include <iostream>
#include <vector>
#include <cstdio>
#include <sstream>
#include <map>
#include <string>
#include <algorithm>
#include <queue>
#include <cmath>
#include <functional>
#include <set>
#include <ctime>
#include <random>
#include <chrono>
#include <cassert>
using namespace std;

namespace {
	using Integer = long long; //__int128;
	template<class T> istream& operator >> (istream& is, vector<T>& vec){for(T& val: vec) is >> val; return is;}
	template<class T> istream& operator ,  (istream& is, T& val){ return is >> val;}
	template<class T> ostream& operator << (ostream& os, const vector<T>& vec){for(int i=0; i<vec.size(); i++) os << vec[i] << (i==vec.size()-1?"":" "); return os;}
	template<class T> ostream& operator ,  (ostream& os, const T& val){ return os << " " << val;}

	template<class H> void print(const H& head){ cout << head; }
	template<class H, class ... T> void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); }
	template<class ... T> void println(const T& ... values){ print(values...); cout << endl; }

	template<class H> void eprint(const H& head){ cerr << head; }
	template<class H, class ... T> void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); }
	template<class ... T> void eprintln(const T& ... values){ eprint(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::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count());

	template<class T> string join(const vector<T>& v, const string& sep){
		stringstream ss; for(int i=0; i<v.size(); i++){ if(i>0) ss << sep; ss << v[i]; } return ss.str();
	}
}

constexpr long long mod = 9_ten + 7;

char buff[5_ten + 100];

vector<long long> Eratosthenes(long long N){
	vector<bool> v(N+1, true);
	v[0] = v[1] = false;
	long long sqN = sqrt(N);
	for(int i=2; i<=sqN; i++){
		if(v[i] == false) continue;
		for(long long j=i*i; j<=N; j+=i){
			v[j] = false;
		}
	}
	vector<long long> Prime;
	for(long long i=2; i<=N; i++){
		if(v[i]==true) Prime.push_back(i);
	}
	return Prime;
}


int main(){
	int t;
	cin >> t;

	auto prime = Eratosthenes(5_ten + 10);

	while(t--){
		scanf("%s", buff);
		string s(buff);

		int ans = 0;
		bool zero = true;
		int n = s.size()-1;

		vector<int> cnt_n(9,0);
		for(long long p : prime){
			int q = p%9;
			for(long long z = p; z<=n; z*=p){
				cnt_n[q] += n/z;
			}
		}

		for(int i=0; i<=n; i++){
			if(s[i] != '0') zero = false;
			vector<int> cnt_r(9,0);
			for(long long p : prime){
				int q = p%9;
				for(long long z = p; z<=i; z*=p){
					cnt_r[q] += i/z;
				}
				for(long long z = p; z<=n-i; z*=p){
					cnt_r[q] += (n-i)/z;
				}
			}

			int k = 1;
			for(int p : {2,3,5,7}){
				k *= my_pow_mod(p,cnt_n[p]-cnt_r[p], 9);
				k %= 9;
			}
			k = k * (s[i] - '0');
			ans += k%10 + k/10;
			if(ans >= 9) ans -= 9;
		}

		if(ans == 0 && !zero) ans = 9;

		printf("%d\n", ans);

	}


	return 0;
}