What Is a Human

Time limit1sMemory limit1024 MB

Summary

Given N, decide whether N is a multiple of 2024 that is at most 2024 times 100000, and print Yes or No.

Level: Easy2 of 10
Topics: Math, Implementation
Solved: No attempts yet

Preface

Then the question left to us is this.

What is a human.

What must we do so that we do not become something other than human?

From Han Kang's Human Acts (소년이 온다)

"A powerful poetic prose that confronts historical trauma and reveals the fragility of human life."

Heartfelt congratulations to Han Kang, a Korean Language and Literature graduate of Yonsei University (class of '89), on winning the Nobel Prize in Literature.

Problem

Hyungjin memorized every multiple of $2024$ up to $100\,000$ to commemorate the year $2024$ . Given a positive integer $N$ , print Yes if Hyungjin remembers it, and No otherwise.

Input

The first line contains a positive integer $N$ . $(1 \le N \le 10^9)$

Output

Print Yes if $N$ is a number Hyungjin remembers, and No otherwise.

Examples3

Example 1
Input
```
2024
```
Expected output
```
Yes
```
Example 2
Input
```
2023
```
Expected output
```
No
```
Example 3
Input
```
202400
```
Expected output
```
No
```