atcoder#AGC002A. [AGC002A] Range Product

[AGC002A] Range Product

Problem Statement

You are given two integers aa and bb (aba \leq b). Determine if the product of the integers aa, a+1a+1, \cdots, bb is positive, negative or zero.

Constraints

  • aa and bb are integers.
  • 109ab109-10^9 \leq a \leq b \leq 10^9

Partial Score

  • In test cases worth 100100 points, 10ab10-10 \leq a \leq b \leq 10.

Input

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

aa bb

Output

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

1 3
Positive

1×2×3=61 \times 2 \times 3=6 is positive.

-3 -1
Negative

(3)×(2)×(1)=6(-3) \times (-2) \times (-1)=-6 is negative.

-1 1
Zero

(1)×0×1=0(-1) \times 0 \times 1=0.