Check Increasing Sequence

Background

This is a small problem about determining the order of a sequence of numbers.

Problem Description

Given three integers $a, b, c$ and a boolean equalOk, return true if they are in strict increasing order, such as $2, 5, 11$, or $5, 6, 7$, but not $6, 5, 7$ or $5, 5, 7$.

However, if equalOk is true, equality is allowed, such as $5, 5, 7$ or $5, 5, 5$ should also return true.

Input Format

Input is given from Standard Input in the following format.

a b c equalOk

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

Output Format

Output is printed to Standard Output in the following format.

true or false

Sample

2 5 11 false

true

5 7 6 false

false

5 5 7 true

true

Sample Explanation

Sample 1: $2 < 5 < 11$, and equalOk is false, which satisfies strict increasing order, so true is returned.

Sample 2: $5 < 7$ but $7 ot< 6$, which does not satisfy strict increasing order, so false is returned.

Sample 3: $5 \le 5 \le 7$, and equalOk is true, which satisfies non-decreasing order, so true is returned.

Constraints

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