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In the algorithm SELECT ( using median of median as a pivot value ) discussed in the class we created 5 groups and showed that

In the algorithm SELECT (using median of median
as a pivot value) discussed in the class we created 5 groups and showed
that you can make ith selection in O(n) in the worst case.
(a) What will happen to the complexity of SELECT algorithm (dis-
cussed in chapter-9) if we create 9 groups instead of 5? Show all
your work/steps.
(b) Show that if you create 3 groups then algorithm will no longer
be linear.

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