950 B
950 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4311000cf542c50ff43 | Problem 195: Inscribed circles of triangles with one angle of 60 degrees | 5 | 301833 | problem-195-inscribed-circles-of-triangles-with-one-angle-of-60-degrees |
--description--
Let's call an integer sided triangle with exactly one angle of 60° a 60° triangle.
Let r
be the radius of the inscribed circle of such a 60° triangle.
There are 1234 60° triangles for which r ≤ 100
.
Let T(n)
be the number of 60° triangles for which r ≤ n
, so T(100) = 1234
, T(1000) = 22767
, and T(10000) = 359912
.
Find T(1053779)
.
--hints--
inscribedCirclesOfTriangles()
should return 75085391
.
assert.strictEqual(inscribedCirclesOfTriangles(), 75085391);
--seed--
--seed-contents--
function inscribedCirclesOfTriangles() {
return true;
}
inscribedCirclesOfTriangles();
--solutions--
// solution required