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Algorithms-Lecture,Section-2-Spring 2025

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Consider a double hashing scheme in which the primary hash function is:

h1(k) = k mod  13  

and the secondary hash function is:

h2(k) = 1+(k mod  5)

Assume that the table size is 13.

Find the address returned by probe 2 in the probe sequence for the key value k=20. Assume that the probe sequence begins at probe 0.

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Suppose you inserted the keys 1, 3, 4, 7, 12, 14, 16, 17, 30, 39 (exactly in this order) into a hash table of size 13 using the hash function:

h(x)=(3x+5) mod  13 also insert key 27 and 43 after that

using chaining for collision resolution.

According to the discussion in our lectures, which of the following represents a complete linked list as it appears in the resulting hash table (with the leftmost element as the head)?

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