The daffodil number is one of the famous interesting numbers in the mathematical world. A daffodil number is a three-digit number whose value is equal to the sum of cubes of each digit.
For example. 153 is a daffodil as 153 = 13 + 53 + 33.
Input
There are several test cases in the input, each case contains a three-digit number.
Output
One line for each case. if the given number is a daffodil number, then output "Yes", otherwise "No".
Sample Input
153
610
Sample Output
Yes
No