#include<bits/stdc++.h>
using namespace std;

#define int long long
typedef vector<int>vint;
typedef pair<int,int>pint;
typedef vector<pint>vpint;
#define rep(i,n) for(int i=0;i<(n);i++)
#define reps(i,f,n) for(int i=(f);i<(n);i++)
#define all(v) (v).begin(),(v).end()
#define each(it,v) for(__typeof((v).begin()) it=(v).begin();it!=(v).end();it++)
#define pb push_back
#define fi first
#define se second
template<typename A,typename B>inline void chmin(A &a,B b){if(a>b)a=b;}
template<typename A,typename B>inline void chmax(A &a,B b){if(a<b)a=b;}

const int SIZE=300000;
int fact[SIZE],cnt[SIZE];
int inv[9];

void solve(){
    string S;
    cin>>S;

    if(count(all(S),'0')==S.size()){
        cout<<0<<endl;
        return;
    }

    int N=S.size()-1;
    int ans=0;
    for(int i=0;i<=N;i++){
        int t=cnt[N]-cnt[i]-cnt[N-i];
        int f=fact[N]*inv[fact[i]]*inv[fact[N-i]]%9;
        if(t>=2)f=0;
        else if(t==1)f=f*3%9;
        ans=(ans+f*(S[i]-'0'))%9;
    }
    if(ans==0)ans=9;
    cout<<ans<<endl;
}

signed main(){
    
    fact[0]=1;
    cnt[0]=0;
    for(int i=1;i<SIZE;i++){
        int t=i;
        while(t%3==0){
            t/=3;
            cnt[i]++;
        }
        cnt[i]+=cnt[i-1];
        fact[i]=fact[i-1]*t%9;
    }
    for(int i=0;i<9;i++){
        if(i%3==0)continue;
        for(int j=0;j<9;j++)if(i*j%9==1)inv[i]=j;
    }

    int T;
    cin>>T;
    while(T--)solve();
    return 0;
}