from ctypes import *
libc=CDLL("libSystem.B.dylib")
#libc = CDLL("libc.so.6")     
printf = libc.printf
scanf = libc.scanf

#!/usr/bin/env python3
num_idx=[0,0,1,0,2,5,0,4,3,0]
two_idx=[1,2,4,8,7,5]

t=c_int()
scanf(b"%d",byref(t))
buf=(c_char* 2000001)()

for loop in range(t.value):
    scanf(b"%s",byref(buf))
    s=str(buf.value.decode('utf-8'))
    n=len(s)

    allzero=True
    for i in range(n):
        if s[i]!='0':
            allzero=False

    if allzero:
        print("0")
        continue
    
    ans=0
    num=n-1
    den=1
    two=0
    three=0

    for i in range(n):
        if three<=1:
            cur=int(s[i]);
            cur=cur*two_idx[two%6]
            if three==1:
                cur*=3
            ans+=cur;
                
        if i==n-1:
            break;

        tmp=num;
        while tmp%3==0:
            tmp/=3
            three+=1
            
        two+=(num_idx[int(tmp%9)]);
                
        tmp=den;
        while tmp%3==0:
            tmp/=3
            three-=1;

        two+=(6-num_idx[int(tmp%9)]);                
        num-=1
        den+=1

    ans%=9
    if ans ==0:
        ans=9;
    printf(b"%d\n",ans);