1. If a hash consultation contains consultationsize positions and n records currently possess the consultation, the enjoin content lf is defined as n/tablesize. Suppose a hash part once distributes n keys balance the consultationsize positions of the consultation and lf is the enjoin content of the consultation. Show that upon introduction, (n-1)* lf/2 of the keys in the consultation introduce after a while a previously entered key.
2. Assume that n purposeless positions of a consultationsize- part hash consultation are niggardly, using hash and rehash parts that are same slight to result any index in the consultation. Show that the medium calculate of comparisons needed to introduce a new part is (tablesize + 1)/(tablesize-n+1). Explain why rectirectilinear piercing does not fulfil this stipulation.
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