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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
)

func main() {
	var a, b int
	fmt.Scanf("%d %d", &a, &b)
	ps := 1
	for i := a; i <= b; i++ {
		if i < 0 {
			ps *= -1
		} else if i == 0 {
			ps *= 0
			break
		} else {
			ps *= 1
		}
	}
	if ps < 0 {
		fmt.Println("Negative")
	} else if ps == 0 {
		fmt.Println("Zero")
	} else {
		fmt.Println("Positive")
	}
}