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solutions.problem6.solve() A
last analyzed 2018-07-11 15:35 UTC

↳ Parent: solutions.problem6

Complexity

Conditions

Size

Total Lines	11
Code Lines	10

Duplication

Lines	0
Ratio	0 %

Importance

Changes

Metric	Value
cc	2
eloc	10
nop	0
dl	0
loc	11
rs	9.9
c	0
b	0
f	0

"""
Project Euler Problem 6: Sum Square Difference
==============================================

.. module:: solutions.problem6
   :synopsis: My solution to problem #6.

The source code for this problem can be
`found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem6.py>`_.

Problem Statement
#################

The sum of the squares of the first ten natural numbers is,
    :math:`1^2 + 2^2 + \\dots + 10^2 = 385`

The square of the sum of the first ten natural numbers is,
    :math:`(1 + 2 + \\dots + 10)^2 = 55^2 = 3025`

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is

:math:`3025 - 385 = 2640`.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.


Solution Discussion
###################

Simply iteratively build and sum the components of the two sequences:

* sum of the squares
* square of the sums

for the natural numbers :math:`1,2,\\dots,100`

Return the absolute value of the difference of these two sums.

Solution Implementation
#######################

.. literalinclude:: ../../solutions/problem6.py
   :language: python
   :lines: 45-
"""

from math import fabs


def solve():
    """ Compute the answer to Project Euler's problem #6 """
    upper_bound = 100
    sum_of_squares = 0
    square_of_sums = 0
    for i in range(1, upper_bound + 1):
        sum_of_squares += i * i
        square_of_sums += i
    square_of_sums = square_of_sums * square_of_sums
    answer = int(fabs(square_of_sums - sum_of_squares))
    return answer


expected_answer = 25164150



1			"""
2			Project Euler Problem 6: Sum Square Difference
3			==============================================
4
5			.. module:: solutions.problem6
6			:synopsis: My solution to problem #6.
7
8			The source code for this problem can be
9			`found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem6.py>`_.
10
11			Problem Statement
12			#################
13
14			The sum of the squares of the first ten natural numbers is,
15			:math:`1^2 + 2^2 + \\dots + 10^2 = 385`
16
17			The square of the sum of the first ten natural numbers is,
18			:math:`(1 + 2 + \\dots + 10)^2 = 55^2 = 3025`
19
20			Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is
			0 ignored issues – show Coding Style introduced 2018-06-11 05:49 UTC by Report Bug Copy Issue Report This line is too long as per the coding-style (113/100). This check looks for lines that are too long. You can specify the maximum line length. Loading history...
21			:math:`3025 - 385 = 2640`.
22
23			Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
			0 ignored issues – show Coding Style introduced 2018-06-11 05:49 UTC by Report Bug Copy Issue Report This line is too long as per the coding-style (118/100). This check looks for lines that are too long. You can specify the maximum line length. Loading history...
24
25			Solution Discussion
26			###################
27
28			Simply iteratively build and sum the components of the two sequences:
29
30			* sum of the squares
31			* square of the sums
32
33			for the natural numbers :math:`1,2,\\dots,100`
34
35			Return the absolute value of the difference of these two sums.
36
37			Solution Implementation
38			#######################
39
40			.. literalinclude:: ../../solutions/problem6.py
41			:language: python
42			:lines: 45-
43			"""
44
45			from math import fabs
46
47
48			def solve():
49			""" Compute the answer to Project Euler's problem #6 """
50			upper_bound = 100
51			sum_of_squares = 0
52			square_of_sums = 0
53			for i in range(1, upper_bound + 1):
54			sum_of_squares += i * i
55			square_of_sums += i
56			square_of_sums = square_of_sums * square_of_sums
57			answer = int(fabs(square_of_sums - sum_of_squares))
58			return answer
59
60
61			expected_answer = 25164150
			0 ignored issues – show Coding Style Naming introduced 2018-06-11 05:49 UTC by Report Bug Copy Issue Report The name `expected_answer` does not conform to the constant naming conventions (`(([A-Z_][A-Z0-9_])\|(__.__))$`). This check looks for invalid names for a range of different identifiers. You can set regular expressions to which the identifiers must conform if the defaults do not match your requirements. If your project includes a Pylint configuration file, the settings contained in that file take precedence. To find out more about Pylint, please refer to their site. Loading history...
62

nekedome / project-euler

solutions.problem6.solve() A last analyzed 2018-07-11 15:35 UTC

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solutions.problem6.solve() A
last analyzed 2018-07-11 15:35 UTC