Oliver Eyton-Williams ee1e8abd87

feat(curriculum): restore seed + solution to Chinese (#40683 )

* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>

2021-01-12 19:31:00 -07:00

1009 B

Raw Blame History

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4621000cf542c50ff75	Problem 246: Tangents to an ellipse	5	301893	problem-246-tangents-to-an-ellipse

--description--

A definition for an ellipse is:

Given a circle c with centre M and radius r and a point G such that d(G,M)

The construction of the points of the ellipse is shown below.

Given are the points M(-2000,1500) and G(8000,1500). Given is also the circle c with centre M and radius 15000. The locus of the points that are equidistant from G and c form an ellipse e. From a point P outside e the two tangents t1 and t2 to the ellipse are drawn. Let the points where t1 and t2 touch the ellipse be R and S.

For how many lattice points P is angle RPS greater than 45 degrees?

--hints--

euler246() should return 810834388.

assert.strictEqual(euler246(), 810834388);

--seed--

--seed-contents--

function euler246() {

  return true;
}

euler246();

--solutions--

// solution required

1009 B Raw Blame History