--description--

How many triangles are there with integral sides, at least one integral angle (measured in degrees), and a perimeter that does not exceed ${10}^8$?

--hints--

trianglesWithIntegralSidesAndAngle() should return 416577688.

assert.strictEqual(trianglesWithIntegralSidesAndAngle(), 416577688);

--seed--

--seed-contents--

function trianglesWithIntegralSidesAndAngle() {

  return true;
}

trianglesWithIntegralSidesAndAngle();

--solutions--

// solution required