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Rook Polynomial of Quasi-Ferrers Board?

One can compute the rook polynomial of the following board:

enter image description here

by transforming it to the following equivalent board,

enter image description here

which is a Ferrers board, and then using the formula given here: How to compute the rook polynomial of a Ferrers board?

Is it possible to use a similar trick to compute the rook polynomial of boards that look something like this?

enter image description here

ruadath
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