Problems
Four digit Armstrong numbers
Four digit Armstrong numbers
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.
Input data
Two integers a and b (1000 ≤ a ≤ b ≤ 9999).
Output data
Print in one line all Armstrong numbers from a to b.
Examples
Input example #1
1000 3000
Output example #1
1634