freeCodeCamp/problem-292-pythagorean-polygons.english.md at 92377cf71af628cb5ea6b28ff7d6fa66a9b52449

mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f4911000cf542c50ffa3	5	false	Problem 292: Pythagorean Polygons	301944

Description

We shall define a pythagorean polygon to be a convex polygon with the following properties:there are at least three vertices, no three vertices are aligned, each vertex has integer coordinates, each edge has integer length.For a given integer n, define P(n) as the number of distinct pythagorean polygons for which the perimeter is ≤ n. Pythagorean polygons should be considered distinct as long as none is a translation of another.

You are given that P(4) = 1, P(30) = 3655 and P(60) = 891045. Find P(120).

Instructions

Tests

tests:
  - text: <code>euler292()</code> should return 3600060866.
    testString: assert.strictEqual(euler292(), 3600060866);

Challenge Seed

function euler292() {
  // Good luck!
  return true;
}

euler292();

Solution

// solution required

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