Here we use the set of thirty pieces using the non-symmetric convex one-sided tridominoes.

Alternatively, we can use the set of hexominoes which can fit into a 4x4 square. This consists of 29 pieces and so one of the omitted pieces is included.

The same set with the five squares arranged differently.

Another version of the above pattern with only 22 clues.

Finally a version with only 19 clues. Although this has a unique solution it is extremely difficult by hand.One extra clue makes a big difference - that version in here

Next we use the set of forty octominoes formed by adding two dominoes to a 2x2 square.

Click on the above to see a solutionFive more such problems are below.