#849. Strong number
A number that equals the sum of the factorials of its digits (example: 145 = 1!+4!+5!). `Yes`/`No`.
### Input
One integer n (1 ≤ n ≤ 10⁶).
### Output
Answer.
Examples
Input
2
Output
Yes
Input
1
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.