Conditional Check

Background

Dawei is writing a program that needs to determine the positivity/negativity of two numbers based on certain conditions.

Problem Description

Given two integer values, return true if one is negative and one is positive. Except if the parameter $negative$ is true, then return true only if both are negative.

Input Format

Input is given from standard input in the following format.

a b negative

Output Format

Output is printed to standard output in the following format.

result

Sample

1 -1 false

true

-1 1 false

true

-4 -5 true

true

Sample Explanation

Sample 1: Input is $a=1, b=-1, negative=false$. Since $negative$ is false, and $a$ is positive while $b$ is negative, the condition "one is negative and one is positive" is met, so true is returned.

Sample 2: Input is $a=-1, b=1, negative=false$. Since $negative$ is false, and $a$ is negative while $b$ is positive, the condition "one is negative and one is positive" is met, so true is returned.

Sample 3: Input is $a=-4, b=-5, negative=true$. Since $negative$ is true, and both $a$ and $b$ are negative, the condition "both are negative" is met, so true is returned.

Constraints

Time limit: 1 second, Memory limit: 1024 KiB for each test case.