CSES - Datatähti Open 2021 - Greater Integers
  • Time limit: 1.00 s
  • Memory limit: 512 MB
Find the smallest integer greater than $n$ where each digit is the same.

Input

The first line of input consists of an integer $t$: the number of test cases.

The following lines each represent one test case, containing the integer $n$.

Output

Print the answer for each test on separate lines.

Example

Input:
3
5
9
123


Output:
6
11
222


Subtask 1 (35 points)
  • $1 \le t \le 1000$
  • $1 \le n \le 1000$
Subtask 2 (65 points)
  • $1 \le t \le 1000$
  • $1 \le n \le 10^{18}$