Multiple of 3 or 5 (Not Both)

Background

Dawei and Xiaoxiao are playing a number game. They want to determine if a given non-negative integer satisfies a special condition.

Problem Description

Given a non-negative integer, return true if it is a multiple of $3$ or $5$, but not both. Use the % (modulo) operator.

Input Format

Input is given from Standard Input in the following format.

A non-negative integer $n$.

Output Format

Output is to Standard Output in the following format.

Output true if the condition is met, otherwise false.

Sample

3

true

10

true

15

false

Sample Explanation

• For Sample $1$, the input is $3$. $3$ is a multiple of $3$ but not $5$. The condition (multiple of $3$ or $5$, but not both) is met, so output true.
• For Sample $2$, the input is $10$. $10$ is not a multiple of $3$ but is a multiple of $5$. The condition is met, so output true.
• For Sample $3$, the input is $15$. $15$ is a multiple of both $3$ and $5$. The condition (not both) is not met, so output false.

Constraints

The input integer $n$ satisfies $0 \le n \le 10^9$. Time limit: $1$ second, Memory limit: $1024$ KiB for each test case.