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You4. Hash Function Design:Design a hash function for storing strings (e.g., names) in a hash table of size 10. Describe how your hash function handles collisions and provide an example of inserting three names into the hash table.

Question

You4. Hash Function Design:Design a hash function for storing strings (e.g., names) in a hash table of size 10. Describe how your hash function handles collisions and provide an example of inserting three names into the hash table.

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Solution

Designing a hash function for storing strings in a hash table of size 10 involves a few steps. Here's a simple example:

  1. Hash Function Design: A simple hash function can be designed by taking the ASCII value of the characters in the string, summing them up, and then taking the modulus of the sum by the size of the hash table. In Python, this can be implemented as follows:
def hash_function(key):
    return sum(ord(c) for c in key) % 10
  1. Handling Collisions: There are several ways to handle collisions, but one common method is separate chaining. In separate chaining, each slot in the hash table points to a linked list of entries that have hashed to the same slot.

  2. Inserting Names: To insert names into the hash table, you would first use the hash function to determine the appropriate slot, and then add the name to the linked list at that slot. Here's an example with three names:

hash_table = [[] for _ in range(10)]  # Initialize an empty hash table

def insert(hash_table, key):
    hash_key = hash_function(key)
    hash_table[hash_key].append(key)

names = ['Alice', 'Bob', 'Charlie']
for name in names:
    insert(hash_table, name)

After running this code, the hash table might look something like this (assuming the hash function distributes the names evenly):

[['Alice'], [], [], [], ['Bob'], [], [], [], [], ['Charlie']]

In this example, 'Alice' hashes to slot 0, 'Bob' hashes to slot 4, and 'Charlie' hashes to slot 9. Since there are no collisions in this example, each slot contains a single-element list. If there were collisions, the lists would contain multiple elements.

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Similar Questions

Design a hash function for storing strings (e.g., names) in a hash table of size 10. Describe how your hash function handles collisions and provide an example of inserting three names into the hash table.

Suppose we want to store items a, b, c, d, e, f, g, whose keys are:a.key=23b.key=7c.key=54d.key=21e.key=12f.key=42g.key=39We want to store them in a hash table of size 7 implemented with a dynamic array A, using the hash function h(k) = k mod 7, by handling collisions using chains.Start with the array A being of size 7, with all entries initialised to None (case-sensitive), and insert the items above in order (a, b, c, d, e, f, and then g). Fill the blanks with the contents of each entry: if there is only one item in A[ i ], then just write the name of the item (not the key!), for instance "c" without the double quotes; if A points to a chain containing multiple items, just list them in alphabetical order by separating them with a comma and no spaces. For example, if A[ 2 ] points to a chain containing items a and b, fill the blank next to A[ 2 ] with "a,b" without the double quotes.

What is the primary purpose of a hash function in data structures?Group of answer choicesTo generate a unique key for a given inputTo reduce the size of dataTo divide data into fixed-size blocksTo sort the data

Define Hash Function. List out properties of Hash function.

What is a hash function?Group of answer choicesA function that maps keys to their memory addresses.A function that maps keys to unique integer values.A function that maps keys to random integer values.A function that maps keys to a fixed range of integer values.

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