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40 lines
1.1 KiB
Python
40 lines
1.1 KiB
Python
"""
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Project Euler Problem 80: https://projecteuler.net/problem=80
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Author: Sandeep Gupta
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Problem statement: For the first one hundred natural numbers, find the total of
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the digital sums of the first one hundred decimal digits for all the irrational
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square roots.
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Time: 5 October 2020, 18:30
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"""
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import decimal
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def solution() -> int:
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"""
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To evaluate the sum, Used decimal python module to calculate the decimal
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places up to 100, the most important thing would be take calculate
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a few extra places for decimal otherwise there will be rounding
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error.
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>>> solution()
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40886
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"""
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answer = 0
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decimal_context = decimal.Context(prec=105)
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for i in range(2, 100):
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number = decimal.Decimal(i)
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sqrt_number = number.sqrt(decimal_context)
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if len(str(sqrt_number)) > 1:
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answer += int(str(sqrt_number)[0])
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sqrt_number_str = str(sqrt_number)[2:101]
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answer += sum(int(x) for x in sqrt_number_str)
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return answer
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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print(f"{solution() = }")
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