#include "bits/stdc++.h"
using namespace std;
#define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i))
#define rep(i,j) FOR(i,0,j)
#define each(x,y) for(auto &(x):(y))
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define debug(x) cout<<#x<<": "<<(x)<<endl
#define smax(x,y) (x)=max((x),(y))
#define smin(x,y) (x)=min((x),(y))
#define MEM(x,y) memset((x),(y),sizeof (x))
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;

string nstr(){
    static const int MAX_LEN = 1000000;
    static char res_[MAX_LEN];
    scanf("%s",res_);
    return string(res_);
}

template<class Val>
map<Val, int> factorize(Val n){
    map<Val, int> res;
    for(Val i=2; (long long)i*i<=n; ++i){
        while(n%i==0){
            n /= i;
            ++res[i];
        }
    }
    if(n!=1) ++res[n];
    return res;
}

int powMod(int n, int k, int mod){
    if(n==0)return 0;
    ll res = 1 % mod, nn = n;
    while(k){
        if(k&1)res=res*nn%mod;
        nn=nn*nn%mod;
        k>>=1;
    }
    return (int)res;
}

string S;


void solve() {

    int N = sz(S), ans = 0;
    if(count(all(S), '0') == N) {
        puts("0");
        return;
    }
    map<int, int> c;
    rep(i, N) {
        if(i != 0) {
            map<int, int> a = factorize<>(N - i), b = factorize<>(i);
            each(p, a)c[p.first] += p.second;
            vi r;
            each(p, b) {
                c[p.first] -= p.second;
                if(c[p.first] == 0) {
                    r.push_back(p.first);
                }
            }
            each(x, r)c.erase(x);
        }
        int x = 1;
        each(p, c)(x *= powMod(p.first, p.second, 9))%=9;
        (ans += x * (S[i]-'0')) %= 9;
    }
    if(ans == 0)ans = 9;
    printf("%d\n", ans);
}

int main(){
    int T; cin >> T;
    while(T--) {
        S = nstr();
        solve();
    }
}