889 B

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id	title	challengeType	forumTopicId	dashedName
5900f4e11000cf542c50fff4	Problem 373: Circumscribed Circles	5	302035	problem-373-circumscribed-circles

--description--

Every triangle has a circumscribed circle that goes through the three vertices. Consider all integer sided triangles for which the radius of the circumscribed circle is integral as well.

Let S(n) be the sum of the radii of the circumscribed circles of all such triangles for which the radius does not exceed n.

S(100) = 4\\,950 and S(1\\,200) = 1\\,653\\,605.

Find S({10}^7).

--hints--

circumscribedCircles() should return 727227472448913.

assert.strictEqual(circumscribedCircles(), 727227472448913);

--seed--

--seed-contents--

function circumscribedCircles() {

  return true;
}

circumscribedCircles();

--solutions--

// solution required

889 B Raw Blame History