--description--

In a 3x2 cross-hatched grid, a total of 37 different rectangles could be situated within that grid as indicated in the sketch.

There are 5 grids smaller than 3x2, vertical and horizontal dimensions being important, i.e. 1x1, 2x1, 3x1, 1x2 and 2x2. If each of them is cross-hatched, the following number of different rectangles could be situated within those smaller grids:

$$\begin{array}{|c|c|} \hline 1 \times 1 & 1 \\ \hline 2 \times 1 & 4 \\ \hline 3 \times 1 & 8 \\ \hline 1 \times 2 & 4 \\ \hline 2 \times 2 & 18 \\ \hline \end{array}$$

Adding those to the 37 of the 3x2 grid, a total of 72 different rectangles could be situated within 3x2 and smaller grids.

How many different rectangles could be situated within 47x43 and smaller grids?

--hints--

crossHatchedRectangles() should return 846910284.

assert.strictEqual(crossHatchedRectangles(), 846910284);

--seed--

--seed-contents--

function crossHatchedRectangles() {

  return true;
}

crossHatchedRectangles();

--solutions--

// solution required