Write a program to print all the Armstrong numbers in the given range A to B (including A and B). An N – digit number is an Armstrong number if the number equals the sum of the Nth power of its digits.

Input

The first line has an integer A

The second line has an integer B

Output

Print all Armstrong numbers separated by a space.

If there are no Armstrong numbers in the given range, print -1

Sample Input 1

150

200

Sample Output 1

153

**Code:**

```
a=int(input())
b=int(input())
flag=False
for i in range(a,b+1):
i=str(i)
l=len(i)
s=0
for j in range(0,l):
s=s+(int(str(i[j]))**l)
if str(s)==str(i):
k=""
k=k+str(i)+" "
flag=True
print(k,end="")
if not flag:
print("-1")
```