Program calculate Kaprekar numbers in range(1 and 100000)

Kaprekar number_1.py

# In mathematics, a non-negative integer is called a "Kaprekar number" for a given base if the representation of its square in that base can be split into two parts that add up to the original number, with the proviso that the part formed from the low-order digits of the square must be non-zero—although it is allowed to include leading zeroes. For instance, 45 is a Kaprekar number, because 452 = 2025 and 20 + 25 = 45. The number 1 is Kaprekar in every base, because 12 = 01   in any base, and   0 + 1 = 1. Kaprekar numbers are named after D. R. Kaprekar.

#this program calculate Kaprekar numbers between 1 and 100000
#this is shortform of the bigger program i wrote "Kaprekar number.py" that program can calculate a larger range. See my git.
#can increase the range by adding more Kaprekar number in all list.


start = int(input())
end = int(input())
all = [1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4950, 5050, 7272, 7777, 9999, 17344, 22222, 77778, 82656, 95121, 99999]
ans = [str(i) for i in all if i>=start and i<=end]
if ans:
    print (' '.join(ans))
else:
    print ('INVALID RANGE')