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())
    if n>45:
        print(-1)
    else:
        l=[]
        for i in range(9,0,-1):
            if n<=i:
                l.append(str(n))
                break
            else:
                n-=i
                l.append(str(i))
        l.sort()
        x=""
        for i in range(len(l)):
            x+=l[i]
        print(x)