"""

Recently, I encountered an interview question whose description was as below:

The number 89 is the first integer with more than one digit whose digits when raised up to

consecutive powers give the same number. For example, 89 = 8**1 + 9**2 gives the number 89.

The next number after 89 with this property is 135 = 1**1 + 3**2 + 5**3 = 135.

Write a function that returns a list of numbers with the above property. The function will

receive range as parameter.

"""

def sum_dig_pow(low, high):

result = []

for number in range(low, high + 1):

exponent = 1 # set to 1

summation = 0 # set to 1

number_as_string = str(number)

tokens = list(map(int, number_as_string)) # parse the string into individual digits

for k in tokens:

summation = summation + (k ** exponent)

exponent += 1

if summation == number:

result.append(number)

return result

# Some test cases:

assert sum_dig_pow(1, 10) == [1, 2, 3, 4, 5, 6, 7, 8, 9]

assert sum_dig_pow(1, 100) == [1, 2, 3, 4, 5, 6, 7, 8, 9, 89]