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pre-commit-ci[bot] 2024-10-18 17:44:17 +00:00
parent 849e0b38d5
commit 545d4aaa64
1 changed files with 10 additions and 8 deletions
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18
recursions/recursive_digit_sum.py
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@ -1,7 +1,7 @@
""" """
The super digit problem is defined as follows: The super digit problem is defined as follows:
Given an integer n represented as a string and an integer k, 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 goal is to find the super digit of the number formed by concatenating
the integer n k times. the integer n k times.
The super digit of a number is defined recursively: The super digit of a number is defined recursively:
@ -14,6 +14,7 @@ super_digit(9875987598759875), which can be reduced by summing its digits.
from __future__ import annotations from __future__ import annotations
def super_digit(n_str: str, repetitions: int) -> int: def super_digit(n_str: str, repetitions: int) -> int:
""" """
Computes the super digit of a number formed by concatenating n_str repetitions times. Computes the super digit of a number formed by concatenating n_str repetitions times.
@ -35,23 +36,24 @@ def super_digit(n_str: str, repetitions: int) -> int:
# Calculate the initial sum of the digits in n_str # Calculate the initial sum of the digits in n_str
digit_sum = sum(int(digit) for digit in n_str) digit_sum = sum(int(digit) for digit in n_str)
# Multiply the sum by repetitions # Multiply the sum by repetitions
total_sum = digit_sum * repetitions total_sum = digit_sum * repetitions
# Recursive function to find the super digit # Recursive function to find the super digit
while total_sum >= 10: while total_sum >= 10:
total_sum = sum(int(digit) for digit in str(total_sum)) total_sum = sum(int(digit) for digit in str(total_sum))
return total_sum return total_sum
if __name__ == '__main__':
if __name__ == "__main__":
# Read input and split it into n_str and repetitions # Read input and split it into n_str and repetitions
first_multiple_input = input().rstrip().split() first_multiple_input = input().rstrip().split()
n_str = first_multiple_input[0] # n as a string n_str = first_multiple_input[0] # n as a string
repetitions = int(first_multiple_input[1]) # repetitions as an integer repetitions = int(first_multiple_input[1]) # repetitions as an integer
# Call the super_digit function and print the result # Call the super_digit function and print the result
result = super_digit(n_str, repetitions) result = super_digit(n_str, repetitions)
print(result) print(result)