No Ones and Threes

Background

Congcong is learning how to check for specific elements in an array.

Problem Description

Given an array of integers, return true if the array contains no $1$'s and no $3$'s. Otherwise, return false.

Input Format

Input is given from standard input in the following format.

An array of integers, with elements separated by spaces. For example: [0 2 4]

Output Format

Output is printed to standard output in the following format.

Output true if the array contains no $1$'s and no $3$'s; otherwise, output false.

Sample

[0 2 4]

true

[1 2 3]

false

[1 2 4]

false

Sample Explanation

Sample 1: The array [0 2 4] contains neither $1$ nor $3$, so it returns true. Sample 2: The array [1 2 3] contains $1$ and $3$, so it returns false. Sample 3: The array [1 2 4] contains $1$, so it returns false.

Constraints

Time limit: 1 second Memory limit: 1024KB