Python program: Generating power set of a frozenset

Last update on April 02 2025 05:30:13 (UTC/GMT +8 hours)

4. Frozenset Power Set

Write a Python program that implements a function to generate the power set (set of all subsets) of a given frozenset.

Sample Solution:

Code:

def powerset(frozenset_input):
    power_set = [[]]

    for element in frozenset_input:
        new_subsets = []
        for subset in power_set:
            new_subset = subset + [element]
            new_subsets.append(new_subset)
        power_set.extend(new_subsets)

    return [frozenset(subset) for subset in power_set]

def main():
    frozen_set = frozenset([1, 2, 3, 4])
    print("Original Power set")

    power_set_result = powerset(frozen_set)
    
    print("Power Set:")
    for subset in power_set_result:
        print(subset)

if __name__ == "__main__":
    main()

Output:

Original Power set
Power Set:
frozenset()
frozenset({1})
frozenset({2})
frozenset({1, 2})
frozenset({3})
frozenset({1, 3})
frozenset({2, 3})
frozenset({1, 2, 3})
frozenset({4})
frozenset({1, 4})
frozenset({2, 4})
frozenset({1, 2, 4})
frozenset({3, 4})
frozenset({1, 3, 4})
frozenset({2, 3, 4})
frozenset({1, 2, 3, 4})

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to generate the power set of a given frozenset using recursion and then print all the subsets.
• Write a Python script to compute the power set of a frozenset iteratively using bit manipulation, and then display the total number of subsets.
• Write a Python function that returns the power set of a frozenset as a frozenset of frozensets, ensuring immutability throughout the process.
• Write a Python program to generate the power set of a frozenset and compare the resulting number of subsets with 2 raised to the power of the frozenset’s length.

Python Code Editor :

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