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.
Example 1:
Input: favoriteCompanies = [["leetcode","google","facebook"],["google","microsoft"],["google","facebook"],["google"],["amazon"]]
Output: [0,1,4]
Explanation:
Person with index=2 has favoriteCompanies[2]=["google","facebook"] which is a subset of favoriteCompanies[0]=["leetcode","google","facebook"] corresponding to the person with index 0.
Person with index=3 has favoriteCompanies[3]=["google"] which is a subset of favoriteCompanies[0]=["leetcode","google","facebook"] and favoriteCompanies[1]=["google","microsoft"].
Other lists of favorite companies are not a subset of another list, therefore, the answer is [0,1,4].
Example 2:
Input: favoriteCompanies = [["leetcode","google","facebook"],["leetcode","amazon"],["facebook","google"]]
Output: [0,1]
Explanation: In this case favoriteCompanies[2]=["facebook","google"] is a subset of favoriteCompanies[0]=["leetcode","google","facebook"], therefore, the answer is [0,1].
All lists of favorite companies are distinct, that is, If we sort alphabetically each list then favoriteCompanies[i] != favoriteCompanies[j].
All strings consist of lowercase English letters only.
Solutions
Solution 1: Hash Table
We can map each company to a unique integer. Then, for each person, we convert their favorite companies into a set of integers. Finally, we check if the favorite companies of one person are a subset of another person's favorite companies.
The time complexity is $(n \times m \times k + n^2 \times m)$, and the space complexity is $O(n \times m)$. Here, $n$ and $m$ are the lengths of favoriteCompanies and the average length of each company's list, respectively, and $k$ is the average length of each company.