Find the smallest root
Easy Accuracy: 10.27% Submissions: 223 Points: 2

You are given an integer n, find the smallest positive integer root of equation x, or else print -1 if no roots are found.
Equation: x^2+s(x)*x-n=0
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.

Input: 
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.

Output:
For each test case, print the smallest positive integer root of equation x, or else print -1 if no roots are found.

Constraints: 
1 <= T <= 100
1 <= N <= 1018

Example:
Input:
1
110
Output:
10

Explanation:
In the above test case x=10 is the minimum root. As s(10)=1+0=1 and 102+1*10-110=0.

 

 

 

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