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Suppose you are given a stack of n pancakes of different sizes. You want to sort the pancakes so that smaller pancakes are on top

Suppose you are given a stack of n pancakes of different sizes. You want to
sort the pancakes so that smaller pancakes are on top of larger pancakes.
The only operation you can perform is a flipinsert a spatula under the
top k pancakes, for some integer k between 1 and n, and flip them all over.
Figure 1.19. Flipping the top four pancakes.
(a) Describe an algorithm to sort an arbitrary stack of n pancakes using
O(n) flips. Exactly how many flips does your algorithm perform in the
worst case?15[Hint: This problem has nothing to do with the Tower of
Hanoi.]

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