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)

• $1 \le t \le 1000$
• $1 \le n \le 10^{18}$