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Perceptual Puzzle #25- How Many Z's -

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What is the maximum number of z-shaped tetrominoes (rotated any way):

Puzzle Image
that can fit in the 6 by 6 grid below:

Click on the squares in the grid to simulate adding the tetrominoes.

Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?