Background

Description

Given three ints, a b c, return true if b is greater than a, and c is greater than b. However, with the exception that if "bOk" is true, b does not need to be greater than a.

Format

Input

Output

Samples

1 2 4 false

true

1 2 1 false

false

1 1 2 true

true

Limitation

1s, 1024KiB for each test case.