My first instinct was greedy but that falls apart fast.
First, filter out words with duplicate letters and represent each valid word as a bitmask of its characters. Then, use backtracking or dynamic programming to find the maximum number of unique characters covered by a subset of these masks with no overlapping bits.
Pro tip: Clarify that the goal is to maximize the total count of unique characters, not the number of words. Also, mention that bitmask DP can be optimized by grouping words with the same mask and only keeping the best (though all have the same character count).
Iterate through each word, check for duplicate characters, and if valid, compute a bitmask representing the set of characters in the word.
Decide between backtracking (exploring all subsets) and dynamic programming (using a map from mask to max characters) based on constraints and desired efficiency.
If backtracking, recursively try including or excluding each word, ensuring no character overlap. If DP, iterate through words and update a dictionary of achievable masks.
Maintain the maximum number of unique characters seen so far and return it after processing all words.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.