796 B
796 B
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