Background

Description

Given an array of ints, return true if the value 3 appears in the array exactly 3 times, and no 3's are next to each other.

Format

Input

Output

Samples

[3 1 3 1 3]

true

[3 1 3 3]

false

[3 4 3 3 4]

false

Limitation

1s, 1024KiB for each test case.