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:
import sys
for i in range(int(sys.stdin.readline())):
    n = int(sys.stdin.readline())
    
    ans = [0,1,2,3,4,5,6,7,8,9,19,29,39,49,59,69,79,89,189,289,389,489,589,689,789
    ,1789,2789,3789,4789,5789,6789,16789,26789,36789,46789,56789,156789,256789,356789
    ,456789,1456789,2456789,3456789,13456789,23456789,123456789,-1,-1,-1,-1,-1,-1,-1]

    print(ans[n])