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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

namespace kakomon
{
    class Program
    {
        static void Main(string[] args)
        {
            agc002_a();
        }

        static void agc002_a()
        {
            // A - Range Product
            long[] input = Console.ReadLine().Trim().Split().Select(long.Parse).ToArray();
            long a = input[0];
            long b = input[1];
            string ans;
            // すべて1以上なら積は正
            if (0 < a) ans = "Positive";
            // 0を含む区間なら積は0
            else if (a <= 0 && 0 <= b) ans = "Zero";
            // bが0より小さい、すべて負の値の場合
            else
            {
                // 同じ値なら、積は正の値
                if (a == b) ans = "Positive";
                // 個数が偶数なら、積は正の値
                else if ((b-a+1) % 2 == 0) ans = "Positive";
                // 個数が奇数なら、積は負の値
                else ans = "Negative";
            }
            Console.WriteLine(ans);
        }
    }
}