freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-397-triangle-on-parabola.english.md

id	challengeType	title	forumTopicId
5900f4f91000cf542c51000c	5	Problem 397: Triangle on parabola	302062

Description

On the parabola y = x2/k, three points A(a, a2/k), B(b, b2/k) and C(c, c2/k) are chosen.

Let F(K, X) be the number of the integer quadruplets (k, a, b, c) such that at least one angle of the triangle ABC is 45-degree, with 1 ≤ k ≤ K and -X ≤ a < b < c ≤ X.

For example, F(1, 10) = 41 and F(10, 100) = 12492. Find F(106, 109).

Instructions

Tests

tests:
  - text: <code>euler397()</code> should return 141630459461893730.
    testString: assert.strictEqual(euler397(), 141630459461893730);

Challenge Seed

function euler397() {
  // Good luck!
  return true;
}

euler397();

Solution

// solution required