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 Common Lisp (SBCL 1.1.14) (judge verdict: Accepted)

(let* ((a (read))
       (b (read))
       (zp (or (and (minusp a) (plusp b))
               (zerop a)
               (zerop b)))
       (nm (if (minusp a)
               (if (minusp b)
                   (abs (- b a))
                   (abs a))
               0)))
  (format t "~A~%"
    (cond
      (zp "Zero")
      ((or (zerop nm)
           (and (minusp a) (oddp nm))
           (and (plusp a) (evenp nm)))
       "Positive")
      ((or (and (minusp a) (evenp nm))
           (and (plusp a) (oddp nm))) "Negative"))))