Four digit number is called Armstrong number if the sum of fourth power of its digits equals to the number. For example, 8208 = 8^4
+ 2^4
+ 0^4
+ 8^4
is an Armstrong number. Print all Armstrong numbers from a to b.
Two integers a and b (1000 ≤ a ≤ b ≤ 9999).
Print in one line all Armstrong numbers from a to b.