Number Range Check

Background

Congcong is learning how to determine if a number falls within a specific range based on different conditions.

Problem Description

Given an integer $n$ and a boolean value $outsideMode$.

If $outsideMode$ is false, return true if $n$ is in the range $1$ to $10$, inclusive. If $outsideMode$ is true, return true if $n$ is less than or equal to $1$, or greater than or equal to $10$. Otherwise, return false.

Input Format

Input is given from standard input in the following format.

$n$ $outsideMode$

Where $n$ is an integer and $outsideMode$ is a boolean value (true or false).

Output Format

Output is printed to standard output in the following format.

true or false

Sample

5 false

true

11 false

false

11 true

true

Sample Explanation

Sample 1: $n=5$, $outsideMode=\text{false}$. Since $outsideMode$ is false, we check if $n$ is between $1$ and $10$. $5$ is within this range, so true is returned.

Sample 2: $n=11$, $outsideMode=\text{false}$. Since $outsideMode$ is false, we check if $n$ is between $1$ and $10$. $11$ is not within this range, so false is returned.

Sample 3: $n=11$, $outsideMode=\text{true}$. Since $outsideMode$ is true, we check if $n$ is less than or equal to $1$ or greater than or equal to $10$. $11$ is greater than or equal to $10$, so true is returned.

Constraints

For all test cases: $n$ is an integer. $outsideMode$ is a boolean value.