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

 1 #include <iostream> 2 #include <cstdio> 3 using namespace std; 4 int main(){ 5     int n, a, b, c; 6     while(cin >> n){ 7         a = n / 100; 8         b = n % 100 / 10; 9         c = n % 10;10         if(n == a * a * a + b * b *b + c * c * c)11             cout << "Yes" << endl;12         else13             cout << "No" << endl;14     }15     return 0;16 }

zoj 2736 Daffodil number