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 CPP):

Solution:
#include "bits/stdc++.h"
using namespace std;
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// #define ordered_set tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update>
//adds two more functions to set
//(1)*(set.find_by_order(k))[kth element in the sorted set]
//(2)set.order_of_key(k)[count of elements strictly less than k]
#define ll long long
#define ld long double
#define vv vector
#define pp pair
#define ff first
#define ss second
#define all(v) v.begin(), v.end()
#define fastio                    \
	ios_base::sync_with_stdio(0); \
	cin.tie(0);
typedef pair<ll, ll> pll;
typedef vv<bool> vbool;
typedef vv<ll> vll;
typedef vv<ld> vld;
typedef vv<pll> vpll;
#ifdef LOCAL
#include "prettyprint.hpp"
#define LG(args...)                               \
	{                                             \
		string _s = #args;                        \
		replace(_s.begin(), _s.end(), ',', ' ');  \
		stringstream _ss(_s);                     \
		err(istream_iterator<string>(_ss), args); \
		cerr << endl;                             \
	}
void err(istream_iterator<string> it) {}
template <typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
	cerr << "(" << *it << ":" << a << ") ";
	err(++it, args...);
}
#else
#define LG(...)
#define endl "\n"
#endif
//:::::::::::::::::::::::::::::::::::::::::::::
const ll INF = 9e18;
const ll MOD = 1e9 + 7;
int main() {
	fastio;
	ll t;
	cin >> t;
	while (t--) {
		ll n;
		cin >> n;
		string s;
		ll x = 9;
		while (n >= x and x > 0) {
			s.push_back(x + '0');
			n -= x;
			x--;
		}
		if (n > 0 and n <= 9 and x > n) {
			s.push_back(n + '0');
			n = 0;
		}
		reverse(all(s));
		if (n != 0)
			s = "-1";
		cout << s << endl;
	}
}