Problems
Three digit Armstrong numbers
Three digit Armstrong numbers
Three digit number is called Armstrong number if the sum of cubes of its digits equals to the number. For example, 153 = 1^3
+ 5^3
+ 3^3
is an Armstrong number. Print all Armstrong numbers from a to b.
Input data
Two integers a and b (100 ≤ a ≤ b ≤ 999).
Output data
Print in one line all Armstrong numbers from a to b.
Examples
Input example #1
100 400
Output example #1
153 370 371