Suppose that a human being is capable of lining up blocks to a tolerance
of 1/10 of an inch. For example, if the person doing the stacking is supposed
to allow a block to extend beyond the block below it by exactly 3 inches, he or
she will actually place it so that it extends between 2.9 and 3.1 inches.
Modify the approach to stacking blocks developed in this lesson so that you can
guarantee that the stack will not collapse when it is arranged according
to the constraint given above. Do not develop an overly conservative approach:
you should ensure that the stacker can make as much progress as possible with
each brick.
Describe your approach clearly. How far out is it possible to extend a stack
of bricks using your approach? How many bricks can be stacked before this
limit is reached?