--description--

The four right-angled triangles with sides (9,12,15), (12,16,20), (5,12,13) and (12,35,37) all have one of the shorter sides (catheti) equal to 12. It can be shown that no other integer sided right-angled triangle exists with one of the catheti equal to 12.

Find the smallest integer that can be the length of a cathetus of exactly 47547 different integer sided right-angled triangles.

--hints--

trianglesSharingCathetus() should return 96818198400000.

assert.strictEqual(trianglesSharingCathetus(), 96818198400000);

--seed--

--seed-contents--

function trianglesSharingCathetus() {

  return true;
}

trianglesSharingCathetus();

--solutions--

// solution required