Added solution for Project Euler problem 75.#3129
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Added solution for Project Euler problem 75.#3129dhruvmanila merged 5 commits intoTheAlgorithms:masterfrom fpringle:problem_75
dhruvmanila merged 5 commits intoTheAlgorithms:masterfrom
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Travis tests have failedHey @fpringle, TravisBuddy Request Identifier: 4bd0dec0-0d95-11eb-9111-f326d0cb7f09 |
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* Added solution for Project Euler problem 75. * Added doctest for solution() in project_euler/problem_75/sol1.py * Update docstring and 0-padding of directory name. Reference: TheAlgorithms#3256 * More descriptive variable names * Moved solution explanation to module-level docstring
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* Added solution for Project Euler problem 75. * Added doctest for solution() in project_euler/problem_75/sol1.py * Update docstring and 0-padding of directory name. Reference: TheAlgorithms#3256 * More descriptive variable names * Moved solution explanation to module-level docstring
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Name: Singular integer right triangles
It turns out that 12 cm is the smallest length of wire that can be bent to form an integer sided right angle triangle in exactly one way, but there are many more examples.
12 cm: (3,4,5)
24 cm: (6,8,10)
30 cm: (5,12,13)
36 cm: (9,12,15)
40 cm: (8,15,17)
48 cm: (12,16,20)
In contrast, some lengths of wire, like 20 cm, cannot be bent to form an integer sided right angle triangle, and other lengths allow more than one solution to be found; for example, using 120 cm it is possible to form exactly three different integer sided right angle triangles.
120 cm: (30,40,50), (20,48,52), (24,45,51)
Given that L is the length of the wire, for how many values of L ≤ 1,500,000 can exactly one integer sided right angle triangle be formed?
Reference: https://projecteuler.net/problem=75
Reference: #2695
Checklist:
Fixes: #{$ISSUE_NO}.