id	title	challengeType	forumTopicId	dashedName
5900f43e1000cf542c50ff50	Problem 210: Obtuse Angled Triangles	5	301852	problem-210-obtuse-angled-triangles

--description--

Consider the set S(r) of points (x,y) with integer coordinates satisfying |x| + |y| ≤ r.

Let O be the point (0,0) and C the point (\frac{r}{4},\frac{r}{4}).

Let N(r) be the number of points B in S(r), so that the triangle OBC has an obtuse angle, i.e. the largest angle α satisfies 90°<α<180°.

So, for example, N(4)=24 and N(8)=100.

What is N(1\\,000\\,000\\,000)?

--hints--

obtuseAngledTriangles() should return 1598174770174689500.

assert.strictEqual(obtuseAngledTriangles(), 1598174770174689500);

function obtuseAngledTriangles() {

  return true;
}

obtuseAngledTriangles();

// solution required