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Contest: Task: Related: TaskB

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

$(-1)×0×1=0$.