796 B

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id	title	challengeType	forumTopicId	dashedName
5900f4f91000cf542c51000c	Problem 397: Triangle on parabola	5	302062	problem-397-triangle-on-parabola

--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).

--hints--

euler397() should return 141630459461893730.

assert.strictEqual(euler397(), 141630459461893730);

--seed--

--seed-contents--

function euler397() {

  return true;
}

euler397();

--solutions--

// solution required

796 B Raw Blame History