Step 5: Expose submatrices to be updated and moved
The purpose of the game now is to write a loop-body that
has the property that the double lines sweep through the
operands so that the state of the partitionings is changed
from how it was initialized in Step 4 to one where the
loop-guard becomes false.
To do so, we repartition the partitioned matrices to expose
subblocks, after which the double lines are moved so that
regions expand or shrink.
This is indicated by the repartitioning
followed by the "moving of the double lines"
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