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28 changes: 23 additions & 5 deletions project_euler/problem_26/sol1.py
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"""
Euler Problem 26
https://projecteuler.net/problem=26

Problem Statement:

A unit fraction contains 1 in the numerator. The decimal representation of the
unit fractions with denominators 2 to 10 are given:

1/2 = 0.5
1/3 = 0.(3)
1/4 = 0.25
1/5 = 0.2
1/6 = 0.1(6)
1/7 = 0.(142857)
1/8 = 0.125
1/9 = 0.(1)
1/10 = 0.1
Where 0.1(6) means 0.166666..., and has a 1-digit recurring cycle. It can be
seen that 1/7 has a 6-digit recurring cycle.

Find the value of d < 1000 for which 1/d contains the longest recurring cycle
in its decimal fraction part.
"""


def find_digit(numerator: int, digit: int) -> int:
def solution(numerator: int = 1, digit: int = 1000) -> int:
"""
Considering any range can be provided,
because as per the problem, the digit d < 1000
>>> find_digit(1, 10)
>>> solution(1, 10)
7
>>> find_digit(10, 100)
>>> solution(10, 100)
97
>>> find_digit(10, 1000)
>>> solution(10, 1000)
983
"""
the_digit = 1
Expand All @@ -35,8 +53,8 @@ def find_digit(numerator: int, digit: int) -> int:
return the_digit


# Tests
if __name__ == "__main__":
import doctest

doctest.testmod()
print(solution(digit=int(str(input()).strip())))