fmad

Instead of trying to see which combinations map to the desired outcome,
I did it the other way around: look at the desired outcome and stop as soon as we can't match.

E.g.: ?###???????? 3,2,1

It HAS to start with a group of 3, so starting from the 1st, it could be possible, so I'd imagine that's a #.
However, that quickly rules it out as it then would be 4 consecutive # and we need to to start with a 3, so we can now safely
skip to position 1, the 1st #, and ignore all possible combinations for position 0 as they will not work.

Then, looking at position 1, we see we have exactly 3 #, so that could work, so we can try again, this time with a subset of