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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>

int main()
{
    int a,b,i;
    while(~scanf("%d%d",&a,&b))
    {

        int f=0;
        if(a<=0&&b>=0)
        {
            printf("Zero\n");

        }
        else if(a>0)
        {
            printf("Positive\n");

        }

        else if(a<0&&b<0)
        {
            for(i=a;i<=b;i++)
            {
                if(i<0)
                    f++;
            }
            if(f%2==0)
                printf("Positive\n");
            else if(f%2!=0)
                printf("Negative\n");
        }

    }

    return 0;
}