Let S be the set consisting of all 10 digits and all upper- and lowercase letters. Let U be the set of all (ordered) strings consisting of exactly four elements from S. Construct an injective hash function h: U -> N with the smallest possible value of maxUh(u). Modify your hash function to give a simply uniform map h' to the set {0, ..., 30}. In other words, if U is a probability space with P(u) = P(u') for all u, u' in U, then the random variable h': U -> {0, ..., 30} should have a uniform distribution.

Q: 4 Given a hash tahle T with 25 slots that stores 2000 clerments, the load factor a for T is

A: In this question, we are going to find out load factor for hash table T.

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A: the all three answers is provided below:-

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A: Below i have answered:

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A: the answer is

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A: Here I have created an object of a linked list and then used a for loop to iterate 5 million times.…

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A: Lets see the solution.

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A: Answer for the question is given below with explanation

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A: Given : Keys to insert: 19,26,13,48,17

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A:

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A: Here is the solution for the above problem

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A: 900 700 444 587 356 568 234 987

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Q: Algorithm  : Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of…

A: given data: Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of f~ = { 1,2 ..... n…

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Q: Algorithm  : Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of…

A: Algorithm  : Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of…

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A: Answer the above question are as follows

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A: Answer: I have given answered in the handwritten format in brief explanation.

Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.