Problem10731--ABC135 - A - Harmony

10731: ABC135 - A - Harmony

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

We have two distinct integers $A$ and $B$.

Print the integer $K$ such that $|A - K| = |B - K|$.

If such an integer does not exist, print `IMPOSSIBLE` instead.

Input

Input is given from Standard Input in the following format:

```
$A$ $B$
```

Output

Print the integer $K$ satisfying the condition.

If such an integer does not exist, print `IMPOSSIBLE` instead.

Constraints

-   All values in input are integers.
-   $0 \leq A,\ B \leq 10^9$
-   $A$ and $B$ are distinct.

Sample 1 Input

2 16

Sample 1 Output

9

$|2 - 9| = 7$ and $|16 - 9| = 7$, so $9$ satisfies the condition.

Sample 2 Input

0 3

Sample 2 Output

IMPOSSIBLE
No integer satisfies the condition.

Sample 3 Input

998244353 99824435

Sample 3 Output

549034394

Source/Category