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1. Suppose we want to add an extra operation, remove(x), which removes x from its current set and places it in its own. Show how to modify the union/?nd algorithm so that the running time of a sequence ofM union, find, and remove operations is O(Mα(M, N)).
2. Show that if all of the unions precede the finds, then the disjoint sets algorithm with path compression requires linear time, even if the unions are done arbitrarily.
3. Prove that if unions are done arbitrarily, but path compression is performed on the finds, then the worst-case running time is 8(M log N).
4. Prove that if unions are done by size and path compression is performed, the worst- case running time is O(Mα(M, N)).
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List of references used (IEEE style) - please specify if none have been used. Please Note, only scenario#3 is to be completed from the 6 provided & the use of Windows 2008 on a virtualbox is required.
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A great opportunity for us to share what we know and discuss some of our shell script programming tips with each other. For this discussion, compile a list of at least 10 shell script programming tips. You may need to perform some research from credi..
Demonstrate the ability to recover servers to include files and volumes
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