There are four polyominoes, one of each size 1-4, in the 4x4 grid below. They have been placed so that none of them are able to slide inside the grid.
+--+--+--+--+
| 3 3| |
+ +--+ + +
| 3| 2| |
+--+ +--+--+
| | 2| 4 4|
+ +--+ +--+
| | 4 4| 1|
+--+--+--+--+
Place five polyominoes, one of each size 1-5, in a 6x6 grid so that none of them can slide.
Similarily place six polyominoes, one of each size 1-6, in an 8x8 grid.
Note, the polyominoes can be any valid shape of connected squares for each size. The size 3 piece used may be either the L shape or the straight shape. There are 5 possible shapes for the size 4 piece, 12 for the size 5 piece, and 35 for the size 6 piece.
Extra: Does a solution for the 4 pieces in a 4x4 grid exist for each of the size 4 pieces?
Does a solution for the 5 pieces in a 6x6 grid exist for each of the size 5 pieces?
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