#417. Perfect number
You get n. Print `Yes` if the sum of its divisors other than n equals n, otherwise `No` (example: 6 = 1+2+3).
### Input
One integer n (2 ≤ n ≤ 10⁵).
### Output
`Yes` or `No`.
Examples
Input
8128
Output
Yes
Input
6
Output
Yes
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.