Problem: You are given a positive number x. Find the smallest positive integer number that has the sum of digits equal to x and all digits are distinct (unique).

Input

The first line contains a single positive integer t (1 ≤ t ≤ 50) — the number of test cases in the test. Then t test cases follow.

Each test case consists of a single integer number x (1 ≤ x ≤ 50).

Output

Output t answers to the test cases:

  * if a positive integer number with the sum of digits equal to x and all digits are different exists, print the smallest such number; 
  * otherwise print -1. 

Example

Input


4
1
5
15
50


Output


1
5
69
-1

Solution (in PYTHON3):

Solution:
for _ in range (int(input())):
    n = int(input())
    ans = ''
    curr = 9
    if n>45:
        print(-1)
    else:
        while(n>0):
            if n>curr:
                ans+= str(curr)
                n -= curr
                curr -= 1
            else:
                ans += str(n)
                n = 0
        a = sorted(ans)
        ans = ''
        for i in a:
            ans+=i
        print(ans)