Problem Description

An integer $ A $ is given.

Output YES if the integer $ A $ is a cubic number, otherwise output NO.

A cubic number is a number that can be made by cubing an integer.

Input Format

The input is given from the standard input in the following format:

$ A $

• The first line contains a single integer $A\ (1\ ≦\ A\ ≦\ 1000000)$.

Output Format

Output YES if $ A $ is a cubic number, otherwise output NO. The output should be on a single line, and a newline should be included at the end.

Sample Input and Output

Sample Input #1

8

Sample Output #1

YES

Sample Input #2

24

Sample Output #2

NO

Notes/Hints

Sample Explanation 1

Since $ 8 $ is a cubic number, output YES.

Sample Explanation 2

Since $ 24 $ is not a cubic number, output NO.

见题面 Input 部分

见题面 Output 部分