You are basically brute-forcing the issue. By using the hint given in the descrption you can get a huge reduction in the possible solution space.

Because the instructions stated not to use dam or Hm.

excluding decameters and hectometers

This was probably to simplify the problem.

I have updated the description. Hope it helps.

Vector direction is important. In this example it goes downwards, so the point is to the right of tge vector. Let me know if you need more detailed explanation.

This would actually be a really good problem to help people get comfortable with recursion. Recursion was the first way I thought of solving this, I didn't realize until after submitting and seeing the other solutions that there was a constant depth to the nesting.