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4. N o t e t h a t each of the two (n/2) x (n/2) merging networks is constructed by applying t h e s a m e rule recursively, t h a t is, by using t w o (n/4) x (n/4) merging net works followed by a r a n k of (n/2) - 1 c o m p a r a t o r s . T h e correctness of this m e t h o d , k n o w n as O d d - E v e n Merging, is established in the following theorem. }, respectively, (2) then computing c2i = min(di +l, ei) and c2i + l = m a x ( r f / + ,1 ei) for i = 1, 2 , n - l (3) and finally letting cx = dx a n d c2n = en.

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