Background

Description

Given an array of ints, return true if it contains a 2, 7, 1 pattern: a value, followed by the value plus 5, followed by the value minus 1. Additionally the 271 counts even if the "1" differs by 2 or less from the correct value.

Format

Input

Output

Samples

[1 2 7 1]

true

[1 2 8 1]

false

[2 7 1]

true

Limitation

1s, 1024KiB for each test case.