Problem:
Problem Statement

You are given two integers a and b (a≤b). Determine if the product of the integers a, a+1, …, b is positive, negative or zero.

Constraints

a and b are integers.

-10^9≤a≤b≤10^9

Partial Score

In test cases worth 100 points, -10≤a≤b≤10.

Input

The input is given from Standard Input in the following format:

a b

Output

If the product is positive, print Positive. If it is negative, print Negative. If it is zero, print Zero.

Sample Input 1

1 3

Sample Output 1

Positive

1×2×3=6 is positive.

Sample Input 2

-3 -1

Sample Output 2

Negative

(-3)×(-2)×(-1)=-6 is negative.

Sample Input 3

-1 1

Sample Output 3

Zero

(-1)×0×1=0.

Solution in Haskell (GHC 7.10.3) (judge verdict: Accepted)

import Control.Applicative ((<$>), (<*>))
import Control.Monad
import Data.List

main :: IO ()
main = do
  solve <$> getl (wrds toInt) >>= putStrLn

solve :: [Int] -> String
solve [a,b]
  | a > 0 = "Positive"
  | b < 0 = if even (b - a) then "Negative" else "Positive"
  | otherwise = "Zero"

toInt :: String -> Int
toInt = read

wrds :: (String -> a) -> String -> [a]
wrds f = map f . words

getl :: (String -> a) -> IO a
getl f = f <$> getLine