There is a certain shortcut in the final part of the rook mate:
Rook mate
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Very good, but that would require him to willingly walk to the back rank without first finding refuge in the corner.
I have noticed that most people mate using only a king and a rook like this
which I believe is a lot less efficient than this
which takes half as many moves. Tell me if there is something I did wrong, or of other useful ways to checkmate faster than the common mate strategy