Number 6 Check

Background

Dawei is currently studying the properties of numbers. He has discovered some interesting characteristics of the number $6$ and wants you to help him write a program to determine if two integers satisfy specific conditions related to $6$.

Problem Description

The number $6$ is a truly great number. Given two integer values, $a$ and $b$, return true if either one is $6$. Or if their sum is $6$ or their difference's absolute value is $6$. Otherwise, return false. Note: The function Math.abs(num) computes the absolute value of a number.

Input Format

The input consists of two integers $a$ and $b$, separated by a space.

$a$ $b$

Output Format

Output true if the conditions are met, otherwise output false.

true or false

Sample

6 4

true

4 5

false

1 5

true

Sample Explanation

• Sample 1: $a=6, b=4$. Since $a$ is $6$, return true.
• Sample 2: $a=4, b=5$. $a$ is not $6$, and $b$ is not $6$. $a+b = 4+5 = 9 \neq 6$. $|a-b| = |4-5| = |-1| = 1 \neq 6$. So return false.
• Sample 3: $a=1, b=5$. $a$ is not $6$, and $b$ is not $6$. $a+b = 1+5 = 6$. Since their sum is $6$, return true.

Constraints

For all test cases: $-1000 \le a, b \le 1000$ Time limit: 1 second, Memory limit: 1024 KB.