Chapter 10, Problem 6E

These factors should be taken into account while designing a fully working open hash table:

Design a hash function for representing the state of a tic-tac-toe board.(It would—for strategy reasons—be useful to have mirror images of a board beconsidered equal.)

Prove that, under the assumption of simple uniform hashing, a successful search in a hash table with collisions handled by chaining takes average-case time.1C/.

Given two hash functions h1 = k % 16, and h2 = 5 – k % 5, produce the hashtable contents based on linear probing, quadratic probing, double hashing and chaining hash collision schemes.    - In Java please      No hand written and fast answer with explanation

Suppose that keys are t-bit integers. For a modular hash function with prime M, prove that each key bit has the property that there exist two keys differing only in that bit that have different hash values.

code in python attached please Define a hash table with an associated hash function ℎ(?)h(k) mapping keys ?k to their associated hash value. b) In simple uniform hashing, each key is assumed to have equal probability to map to any of the hashes in a given table of size m. Given an open-address table of size 500500 and 22 random keys, what is the probability that they hash to the same value? What is the probability that they hash to different values?

The Java hash function for Strings computes a hash code based on a fixed maximum number of characters of the string. Given that Strings have no meaningful upper bound in length, describe how an effective, constant-time hashing algorithm can be constructed. (Hint: If you were to pick, say, eight characters to represent a string of length l, which would you choose?)

How safe is Lamport's OLP algorithm, considering the importance of hash function properties?

Hey, Given is a hash table with an initial size of 1000 and a hash function that ensures ahashing, where the keys are chosen randomly under the uniformity assumption.me are chosen. After how many insertions do you have to expect a collision probability of more than 80%?of more than 80%?To keep the number of collisions low during hashing, one can reduce the size of the has-hash table after a certain number of insertions. After which number n of inserted elements must the table be increased for the first time, if no collision occurred in the previous n - 1 elements and the probability of a collision in the n-th insertion should be less than 20%?