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Many algorithms use the divide-and-conquer strategy. Thus, it makes sense to try to use it to construct new sorting networks. We call keys that are out of their locations “strangers”. A strategy that can be used to design faster sorting networks using the divide-and-conquer technique is proposed here. Firstly, connect the N keys together into a poset. Afterwards, define the number of keys in each...
We have already seen, in Chap. 9, that there is a gap in the number of steps between the fastest-known network and the information-theoretic lower bound. Thus, while trying to find a faster N-key sorting network , try to select a value for N for which this gap is the greatest. The initial steps of your network should combine all N keys into a single-segment poset. After that, apply the divide-and-conquer...
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