mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-24 12:10:16 +00:00
44254cf112
* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
38 lines
1.0 KiB
Python
38 lines
1.0 KiB
Python
"""
|
|
Project Euler Problem 80: https://projecteuler.net/problem=80
|
|
Author: Sandeep Gupta
|
|
Problem statement: For the first one hundred natural numbers, find the total of
|
|
the digital sums of the first one hundred decimal digits for all the irrational
|
|
square roots.
|
|
Time: 5 October 2020, 18:30
|
|
"""
|
|
import decimal
|
|
|
|
|
|
def solution() -> int:
|
|
"""
|
|
To evaluate the sum, Used decimal python module to calculate the decimal
|
|
places up to 100, the most important thing would be take calculate
|
|
a few extra places for decimal otherwise there will be rounding
|
|
error.
|
|
|
|
>>> solution()
|
|
40886
|
|
"""
|
|
answer = 0
|
|
decimal_context = decimal.Context(prec=105)
|
|
for i in range(2, 100):
|
|
number = decimal.Decimal(i)
|
|
sqrt_number = number.sqrt(decimal_context)
|
|
if len(str(sqrt_number)) > 1:
|
|
answer += int(str(sqrt_number)[0])
|
|
sqrt_number = str(sqrt_number)[2:101]
|
|
answer += sum([int(x) for x in sqrt_number])
|
|
return answer
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|