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 Ruby (2.3.3) (judge verdict: Accepted)

io = STDIN
a,b=io.gets.chomp.split.map(&:to_i)
#        -1  0  1
#      a  b
#         a     b
#               a     b
if b<0
  ans = (a..b).size.odd? ? "Negative" : "Positive"
else  #b>=0
  if a<=0
    ans = "Zero"
  else   #
    ans = "Positive"
  end
end
puts ans