Facebook Coding Interview Question and Answer #: All Subsets of a Set

Опубликовано: 05 Февраль 2025
на канале: Web Dev ET

How to Generate All Subsets of a Set

In this video, we will learn how to generate all subsets of a set. We will also see how to do this in C++ and Python.

Subsets of a Set

A subset of a set is a set that is contained within the original set. For example, the set {1, 2, 3} has the following subsets:

{}
{1}
{2}
{3}
{1, 2}
{1, 3}
{2, 3}
{1, 2, 3}

Generating All Subsets of a Set

There are a few different ways to generate all subsets of a set. One way is to use the following algorithm:

1. Start with the empty set.
2. For each element in the set, add the element to the current set and generate all of its subsets.
3. Repeat step 2 until all elements in the set have been added to the current set.

For example, to generate all subsets of the set {1, 2, 3}, we would start with the empty set. Then, we would add the element 1 to the current set and generate all of its subsets. This would give us the following sets:

{}
{1}

We would then add the element 2 to the current set and generate all of its subsets. This would give us the following sets:

{}
{1}
{2}
{1, 2}

Finally, we would add the element 3 to the current set and generate all of its subsets. This would give us the following sets:

{}
{1}
{2}
{1, 2}
{3}
{1, 3}
{2, 3}
{1, 2, 3}