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 (GCC 5.4.1) (judge verdict: Accepted)

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

int ia, ib, ps;

void read(void)
{
    if (scanf("%d %d", &ia, &ib) != 2)
        exit(EXIT_FAILURE);
}

void exec(void)
{
    ps = (ia > 0) ? 1 : ((ib < 0) ? 2 * ((ib - ia) % 2) - 1 : 0);
}

void print(void)
{
    printf("%s\n", ps < 0 ? "Negative" : (ps > 0 ? "Positive" : "Zero"));
}

void repl(void)
{
    read();
    exec();
    print();
}

int main(void)
{
    repl();
    return 0;
}