#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#include <array>
#define popcount __builtin_popcount
using namespace std;
typedef long long int ll;
typedef pair<ll, ll> P;
int f[100001];
int inv[9]={0, 1, 5, 0, 7, 2, 0, 4, 8};
int main()
{
    f[0]=1;
	for(int i=1; i<=100000; i++){
		int x=i;
		while(x%3==0){
			x/=3;
		}
		f[i]=f[i-1]*x%9;
	}
	int t;
	cin>>t;
	for(int q=0; q<t; q++){
		string s;
		cin>>s;
		int n=s.size();
		int e0=0;
		int n1=n-1;
		while(n1){
			n1/=3;
			e0+=n1;
		}
		bool z=1;
		int sum=0;
		for(int i=0; i<n; i++){
			int e=e0;
			int i1=i, i2=n-1-i;
			while(i1){
				i1/=3;
				e-=i1;
			}
			while(i2){
				i2/=3;
				e-=i2;
			}
			int x=s[i]-'0';
			if(x!=0){
				z=0;
			}
			if(e==0){
				sum+=x*f[n-1]*inv[f[i]]*inv[f[n-1-i]];
				sum%=9;
			}else if(e==1){
				sum+=x*f[n-1]*inv[f[i]]*inv[f[n-1-i]]*3;
				sum%=9;
			}
		}
		if(z) printf("0\n");
		else if(sum==0) printf("9\n");
		else printf("%d\n", sum);
	}
    return 0;
}