People Whose List of Favorite Companies Is Not a Subset of Another List

Problem Description

Given the array favoriteCompanies where favoriteCompanies[i] is the list of favorites companies for the ith person (indexed from 0). Return the indices of people whose list of favorite companies is not a subset of any other list of favorites companies. You must return the indices in increasing order.

Key Insights

• A list of favorite companies is considered a subset of another if all elements in the first list are present in the second list.
• We need to compare each person's list against every other person's list to determine if it is a subset.
• The solution can leverage set data structures for efficient subset checks.

Space and Time Complexity

Time Complexity: O(n^2 * m), where n is the number of people and m is the average length of favorite companies lists.
Space Complexity: O(n), for storing the indices of the result.

Solution

To solve the problem, we will use the following steps:

1. Use a list to store the indices of people whose favorite companies are not subsets of any other person's favorites.
2. Convert each person's list of favorite companies into a set for efficient subset checking.
3. Compare each person's set with every other person's set.
4. If a person's set is found to be a subset of any other set, they will not be added to the result list.
5. Return the list of indices in increasing order.

Code Solutions