Knossos Games - Rubber Stamp

Detailed Solution:

Since each column in the left vertical tier of blocks totals three, each block must be filled with Stamp 1. The arrangement of the two blocks with hints is clear because Stamp 1 has only one shaded corner square. The bottom block in the tier can then be determined.

Next, in the top horizontal tier of blocks, the bottom row now totals zero. Thus both blocks must use Stamp 2 aligned with an empty bottom row.

This is the hardest step of the puzzle. In trying to determine which stamp should go in the middle block, let's examine the middle vertical tier and the middle horizontal tier. The vertical tier will require two of Stamp 2, and the horizontal tier will require one Stamp 1 and one Stamp 2. Thus, the middle block must use Stamp 2, and since the row and column totals cannot equal 2,1,1,2 from both directions, the orientation can be determined.

The right vertical tier needs a Stamp 1 in the middle block, but what about the bottom block? If we subtract 1,2,0,1 from the column numbers, we get 0,1,3,2, which describes neither of the stamps. But subtracting 1,0,2,1 yields 0,3,1,2, which describes Stamp 2. This reveals the orientation of the lower two blocks of the right vertical tier.

The final block can be determined by working horizontally. The bottom row of the bottom tier of blocks now totals zero, which describes Stamp 2.

	Since each column in the left vertical tier of blocks totals three, each block must be filled with Stamp 1. The arrangement of the two blocks with hints is clear because Stamp 1 has only one shaded corner square. The bottom block in the tier can then be determined.
	Next, in the top horizontal tier of blocks, the bottom row now totals zero. Thus both blocks must use Stamp 2 aligned with an empty bottom row.
	This is the hardest step of the puzzle. In trying to determine which stamp should go in the middle block, let's examine the middle vertical tier and the middle horizontal tier. The vertical tier will require two of Stamp 2, and the horizontal tier will require one Stamp 1 and one Stamp 2. Thus, the middle block must use Stamp 2, and since the row and column totals cannot equal 2,1,1,2 from both directions, the orientation can be determined.
	The right vertical tier needs a Stamp 1 in the middle block, but what about the bottom block? If we subtract 1,2,0,1 from the column numbers, we get 0,1,3,2, which describes neither of the stamps. But subtracting 1,0,2,1 yields 0,3,1,2, which describes Stamp 2. This reveals the orientation of the lower two blocks of the right vertical tier.
	The final block can be determined by working horizontally. The bottom row of the bottom tier of blocks now totals zero, which describes Stamp 2.