Background

Description

We'll say that a 1 immediately followed by a 3 in an array is an "unlucky" 1. Return true if the given array contains an unlucky 1 in the first 2 or last 2 positions in the array.

Format

Input

Output

Samples

[1 3 4 5]

true

[2 1 3 4 5]

true

[1 1 1]

false

Limitation

1s, 1024KiB for each test case.