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 JAVA):

Solution:
import javax.print.attribute.standard.PrinterMessageFromOperator;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class Main {
    static long dp[][]= new long[300][300];

    static long ways(int i,int n,int cuts){
        if (i>n)return 0;
        if (cuts==0)return 1;
        if (dp[i][cuts]!=0)return dp[i][cuts];
        long ans=0;
        for (int j=i+1;j<n;j++){
            ans+=(ways(j,n,cuts-1));
        }
        return dp[i][cuts]=ans;
    }

    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
//        Scanner sc= new Scanner(System.in);
        PrintWriter out = new PrintWriter(System.out);
      int t=sc.nextInt();
      outer:while (t-->=1){
          int n=sc.nextInt();
          if (n>45){
              System.out.println(-1);
              continue outer;
          }
          StringBuilder sb = new StringBuilder();
          loop:for (int i=9;i>=1;i--){
              if (n<=9&&n<=i){
                  sb.append(n);
                  n=0;
                  break loop;
              }
              else{
                  sb.append(i);
                  n-=i;
              }
          }
          System.out.println(sb.reverse());
      }

        out.flush();
    }

    //-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

    static void sort(int[] a) {
        ArrayList<Integer> l = new ArrayList<>();
        for (int i : a) l.add(i);
        Collections.sort(l);
        for (int i = 0; i < a.length; i++) a[i] = l.get(i);
    }

    static String sortString(String s) {
        char temp[] = s.toCharArray();
        Arrays.sort(temp);
        return new String(temp);
    }

    static class Pair implements Comparable<Pair> {
        int a, b;

        public Pair(int a, int b) {
            this.a = a;
            this.b = b;
        }

        public int compareTo(Pair other) {
            if (this.a == other.a) return other.b > this.b ? -1 : 1;
            else if (this.a > other.a) return 1;
            else return -1;
        }

    }

    static int mod = (int) 1e9 + 7;

    static long mod(long x) {
        return ((x % mod + mod) % mod);
    }

    static long add(long x, long y) {
        return mod(mod(x) + mod(y));
    }

    static long mul(long x, long y) {
        return mod(mod(x) * mod(y));
    }

    static int[] find(int n, int start, int diff) {
        int a[] = new int[n];
        a[0] = start;
        for (int i = 1; i < n; i++) a[i] = a[i - 1] + diff;
        return a;
    }

    static void swap(int a, int b) {
        int c = a;
        a = b;
        b = c;
    }

    static void printArray(int a[]) {
        for (int i = 0; i < a.length; i++) {
            System.out.print(a[i] + " ");
        }
    }

    static boolean sorted(int a[]) {
        int n = a.length;
        boolean flag = true;
        for (int i = 0; i < n - 1; i++) {
            if (a[i] > a[i + 1]) flag = false;
        }
        if (flag) return true;
        else return false;
    }

    public static int findlog(long n) {
        if (n == 0)
            return 0;

        if (n == 1)
            return 0;
        if (n == 2)
            return 1;
        double num = Math.log(n);
        double den = Math.log(2);
        if (den == 0)
            return 0;
        return (int) (num / den);
    }

    public static long gcd(long a, long b) {
        if (b % a == 0)
            return a;
        return gcd(b % a, a);
    }

    public static int gcdInt(int a, int b) {

        if (b % a == 0)
            return a;

        return gcdInt(b % a, a);

    }

    static void sortReverse(int[] a) {
        ArrayList<Integer> l = new ArrayList<>();
        for (int i : a) l.add(i);
//        Collections.sort.(l);
        Collections.sort(l, Collections.reverseOrder());
        for (int i = 0; i < a.length; i++) a[i] = l.get(i);
    }

    static class FastScanner {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st = new StringTokenizer("");

        String next() {
            while (!st.hasMoreTokens())
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        int[] readArray(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = nextInt();
            return a;
        }

        long[] readArrayLong(long n) {
            long[] a = new long[(int) n];
            for (int i = 0; i < n; i++) a[i] = nextLong();
            return a;
        }

        long nextLong() {
            return Long.parseLong(next());
        }
    }

}