""" The super digit problem is defined as follows: Given an integer n represented as a string and an integer k, the goal is to find the super digit of the number formed by concatenating the integer n k times. The super digit of a number is defined recursively: - If the number has only one digit, that digit is the super digit. - Otherwise, the super digit is the super digit of the sum of its digits. For example, for n = "9875" and k = 4, the concatenated number is: super_digit(9875987598759875), which can be reduced by summing its digits. """ from __future__ import annotations def super_digit(n_str: str, repetitions: int) -> int: """ Computes the super digit of a number formed by concatenating n_str repetitions times. Parameters: n_str (str): The string representation of the integer. repetitions (int): The number of times to concatenate n_str. Returns: int: The super digit of the concatenated number. >>> super_digit("148", 3) 3 >>> super_digit("9875", 4) 8 >>> super_digit("123", 3) 9 """ # Calculate the initial sum of the digits in n_str digit_sum = sum(int(digit) for digit in n_str) # Multiply the sum by repetitions total_sum = digit_sum * repetitions # Recursive function to find the super digit while total_sum >= 10: total_sum = sum(int(digit) for digit in str(total_sum)) return total_sum if __name__ == '__main__': # Read input and split it into n_str and repetitions first_multiple_input = input().rstrip().split() n_str = first_multiple_input[0] # n as a string repetitions = int(first_multiple_input[1]) # repetitions as an integer # Call the super_digit function and print the result result = super_digit(n_str, repetitions) print(result)