--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