Problem:
Score: 100 points

Problem Statement

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.

Constraints

All values in input are integers.

0 \leq A,\ B \leq 10^9

A and B are distinct.

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.

Sample Input 1

2 16

Sample Output 1

9

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

Sample Input 2

0 3

Sample Output 2

IMPOSSIBLE

No integer satisfies the condition.

Sample Input 3

998244353 99824435

Sample Output 3

549034394

Solution in Haskell (GHC 8.8.3) (judge verdict: Wrong Answer)

solve :: Int -> Int -> String
solve a b
    | abs(a - b) `div` 2 == 1 = "IMPOSSIBLE"
    | otherwise = show $ (a + b) `div` 2


main :: IO()
main = do
    line <- getLine
    let a:b:_ = map read $ words line :: [Int]
    putStrLn $ solve a b