--description--

A simple quadrilateral is a polygon that has four distinct vertices, has no straight angles and does not self-intersect.

Let $Q(m, n)$ be the number of simple quadrilaterals whose vertices are lattice points with coordinates ($x$, $y$) satisfying $0 ≤ x ≤ m$ and $0 ≤ y ≤ n$.

For example, $Q(2, 2) = 94$ as can be seen below:

It can also be verified that $Q(3, 7) = 39\,590$, $Q(12, 3) = 309\,000$ and $Q(123, 45) = 70\,542\,215\,894\,646$.

Find $Q(12\,345, 6\,789)\bmod 135\,707\,531$.

--hints--

latticeQuadrilaterals() should return 104354107.

assert.strictEqual(latticeQuadrilaterals(), 104354107);

--seed--

--seed-contents--

function latticeQuadrilaterals() {

  return true;
}

latticeQuadrilaterals();

--solutions--

// solution required