Files
gikf 397a9f0c3e fix(curriculum): clean-up Project Euler 462-480 (#43069)
* fix: clean-up Project Euler 462-480

* fix: missing image extension

* fix: corrections from review

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
2021-07-30 08:32:21 -07:00

997 B

id, title, challengeType, forumTopicId, dashedName
id title challengeType forumTopicId dashedName
5900f5411000cf542c510053 Problem 469: Empty chairs 5 302144 problem-469-empty-chairs

--description--

In a room N chairs are placed around a round table.

Knights enter the room one by one and choose at random an available empty chair.

To have enough elbow room the knights always leave at least one empty chair between each other.

When there aren't any suitable chairs left, the fraction C of empty chairs is determined. We also define E(N) as the expected value of C.

We can verify that E(4) = \frac{1}{2} and E(6) = \frac{5}{9}.

Find E({10}^{18}). Give your answer rounded to fourteen decimal places in the form 0.abcdefghijklmn.

--hints--

emptyChairs() should return 0.56766764161831.

assert.strictEqual(emptyChairs(), 0.56766764161831);

--seed--

--seed-contents--

function emptyChairs() {

  return true;
}

emptyChairs();

--solutions--

// solution required