Conditional Check

Background

In daily programming, we often need to determine program behavior based on a series of conditions. This problem will test your understanding and application of conditional logic.

Problem Description

Given three integers $a$, $b$, $c$, and a boolean value $bOk$. Return true if $b$ is greater than $a$ and $c$ is greater than $b$. However, with the exception that if $bOk$ is true, then $b$ does not need to be greater than $a$.

Input Format

Input is given from standard input in the following format.

a b c bOk

Where $a$, $b$, $c$ are integers, and $bOk$ is a boolean value (represented as true or false).

Output Format

Output to standard output in the following format.

result

Where result is true or false.

Sample

1 2 4 false

true

1 2 1 false

false

1 1 2 true

true

Sample Explanation

Sample 1: $a=1, b=2, c=4, bOk= ext{false}$. Since $bOk$ is false, we need $b > a$ and $c > b$. Here, $2 > 1$ is true and $4 > 2$ is true. Both conditions are met, so the result is true.

Sample 2: $a=1, b=2, c=1, bOk= ext{false}$. Since $bOk$ is false, we need $b > a$ and $c > b$. Here, $2 > 1$ is true, but $1 > 2$ is false. Not all conditions are met, so the result is false.

Sample 3: $a=1, b=1, c=2, bOk= ext{true}$. Since $bOk$ is true, we only need $c > b$. Here, $2 > 1$ is true. The condition is met, so the result is true.

Constraints

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