#!/usr/bin/ruby
I=[nil,1,5,nil,7,2,nil,4,8]
def z(n)
	r=0
	while n%3==0
		r+=1
		n/=3
	end
	[n,r]
end
def comb(n,k)
	k0,z0=F[n]
	k1,z1=F[k]
	k2,z2=F[n-k]
	z=z0-z1-z2
	r=k0*I[k1]*I[k2]%9
	[r,r*3%9,0][z]
end

F=[[1,0]]
(1..100000).each{|i|
	k0,z0=F[i-1]
	k1,z1=z(i)
	F[i]=[k0*k1%9,z0+z1]
}
gets.to_i.times{
	r=0
	s=gets.chomp
	s.each_byte.with_index{|b,i|r=(r+(b-48)*comb(s.size-1,i))%9}
	p r!=0||s.each_byte.all?{|b|b==48} ? r : 9
}