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id	title	challengeType	forumTopicId	dashedName
5900f4371000cf542c50ff49	Problem 202: Laserbeam	5	301843	problem-202-laserbeam

--description--

Three mirrors are arranged in the shape of an equilateral triangle, with their reflective surfaces pointing inwards. There is an infinitesimal gap at each vertex of the triangle through which a laser beam may pass.

Label the vertices A, B and C. There are 2 ways in which a laser beam may enter vertex C, bounce off 11 surfaces, then exit through the same vertex: one way is shown below; the other is the reverse of that.

There are 80840 ways in which a laser beam may enter vertex C, bounce off 1000001 surfaces, then exit through the same vertex.

In how many ways can a laser beam enter at vertex C, bounce off 12017639147 surfaces, then exit through the same vertex?

--hints--

euler202() should return 1209002624.

assert.strictEqual(euler202(), 1209002624);

--seed--

--seed-contents--

function euler202() {

  return true;
}

euler202();

--solutions--

// solution required

1.1 KiB Raw Blame History