Fencing

There is a field with plants — a grid with $N$ rows (numbered $1$ through $N$) and $M$ columns (numbered $1$ through $M$); out of its $NM$ cells, $K$ cells contain plants, while the rest contain weeds. Two cells are adjacent if they have a common side. You want to build fences in the field in such a way that the following conditions hold for each cell that contains a plant: - it is possible to