@boboquack seems to have already solved the majority of the puzzle, so I just want to add some observations:
The first picture of the two seems to be the introductory puzzle. The solution to this puzzle is to fit the three "clusters" in the bottom of the picture into the orange area. If you then fill all empty spaces with black squares and satisfy the condition that no two black squares are next to each other, you get the following unique solution:
Note that this solution also satisfies the sudoku ruleset, at least for the rows and colums.
Furthermore, I noticed something else:
There seems to be a pink patch in the bottom left of the orange area in the first picture. At first I thought it might just have been a mistake while painting the picture, but the fact that it's pink seems to make it deliberate.