BlueBook

Write a program that will find all the three-digit natural numbers that are equal to the sum of the cubes of their digits. The range of numbers will be ~100 \le M \le N \le 999~. The input will be two numbers: ~M~ and ~N~ where ~M~ is the lesser 3 digit number and ~N~ is the greater 3 digit number.

Sample Input

100 200

Sample Output

153

Explanation for Sample Output

For example, the number ~153 = 1 \times 1 \times 1 + 5 \times 5 \times 5 + 3 \times 3 \times 3~ should be outputted.