You are given an integer n, find the smallest positive integer root of equation x, or else print -1 if no roots are found.
where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system.
First line of input contains a single integer T denoting the number of test cases. First line of every test case has one number N.
For each test case, print the smallest positive integer root of equation x, or else print -1 if no roots are found.
1 <= T <= 100
1 <= N <= 1018
In the above test case x=10 is the minimum root. As s(10)=1+0=1 and 102+1*10-110=0.