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43 lines
1.0 KiB
Python
43 lines
1.0 KiB
Python
"""
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Project Euler Problem 6: https://projecteuler.net/problem=6
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Sum square difference
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The sum of the squares of the first ten natural numbers is,
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1^2 + 2^2 + ... + 10^2 = 385
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The square of the sum of the first ten natural numbers is,
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(1 + 2 + ... + 10)^2 = 55^2 = 3025
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Hence the difference between the sum of the squares of the first ten
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natural numbers and the square of the sum is 3025 - 385 = 2640.
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Find the difference between the sum of the squares of the first one
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hundred natural numbers and the square of the sum.
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"""
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import math
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def solution(n: int = 100) -> int:
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"""
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Returns the difference between the sum of the squares of the first n
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natural numbers and the square of the sum.
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>>> solution(10)
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2640
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>>> solution(15)
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13160
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>>> solution(20)
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41230
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>>> solution(50)
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1582700
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"""
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sum_of_squares = sum(i * i for i in range(1, n + 1))
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square_of_sum = int(math.pow(sum(range(1, n + 1)), 2))
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return square_of_sum - sum_of_squares
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if __name__ == "__main__":
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print(f"{solution() = }")
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