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Project Euler Problem 80 #2885
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dhruvmanila
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TheAlgorithms:master
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sandeepgupta007:sandeep-dev-80
Oct 10, 2020
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Project Euler Problem 80 #2885
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db93362
Merge pull request #1 from TheAlgorithms/master
sandeepgupta007 20d5169
adding solution to problem 80
sandeepgupta007 1f333ce
updating DIRECTORY.md
8a7fd15
fixing spell check
sandeepgupta007 9587755
Merge branch 'sandeep-dev-80' of https://github.com/sandeepgupta007/P…
sandeepgupta007 24c3b7e
updating sol as per comments
sandeepgupta007 c3b76e1
Add reference link to the problem
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""" | ||
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 | ||
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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. | ||
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>>> 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 | ||
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if __name__ == "__main__": | ||
import doctest | ||
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doctest.testmod() |
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