An and Bình have a positive integer $X$ and want to split it into the sum of two positive integers $A$ and $B$. The true value of a positive integer is not in its magnitude but is determined by the sum of its digits. The two friends will be happy if $A$ and $B$ have equal digit sums.
**Objective:** There are $T$ test cases, each providing a positive integer $X$. For each test case, help An and Bình find two positive integers $A$ and $B$ such that they add up to $X$ and have equal digit sums.
### Input
- The first line contains an integer $T$ ($1 \leq T \leq 10000$);
- Each of the following $T$ lines contains a positive integer $X$ ($X \geq 2$).
### Output
- For each test case, print any two positive integers $A$ and $B$ that satisfy the conditions on a single line. If no solution exists, print -1.
### Example
Input:
```
4
4
33
243
29
```
Output:
```
2 2
12 21
117 126
-1
```
Let $C(X)$ and $S(X)$ denote the number of digits and the digit sum of the positive integer $X$.
### Subtasks
- **Subtask 1 (20 points)**: $X \leq 10000$ for all test cases.
- **Subtask 2 (30 points)**: The total $C(X)$ across all test cases does not exceed 1000.
- **Subtask 3 (20 points)**: The total $C(X)$ across all test cases does not exceed $10^6$ and $S(X)$ is even for all test cases.
- **Subtask 4 (30 points)**: The total $C(X)$ across all test cases does not exceed $10^6$.
