My first instinct was to build a lookup map from character to its rank in the custom alphabet, then compare adjacent strings pairwise.
First, map each character in the custom alphabet to its index for O(1) lookups. Then, iterate through the array and compare each adjacent pair of strings character by character using the custom order. If all pairs are in non-decreasing order, return true; otherwise, return false.
Pro tip: Clarify edge cases upfront, such as strings of different lengths and the scenario where one string is a prefix of another. Also, mention that the solution should handle large inputs efficiently by avoiding unnecessary conversions.
Ask questions to confirm the definition of lexicographical order with a custom alphabet, including how to handle strings of different lengths and prefix cases. Discuss constraints like input size and character set.
Create a hash map or array to store the index of each character in the custom alphabet. This allows O(1) comparison of characters.
Write a helper function that compares two strings lexicographically using the custom order. It should return true if the first string is less than or equal to the second.
Loop through the array from index 0 to n-2, comparing each pair of adjacent strings with the helper function. If any pair is out of order, return false immediately.
If all pairs are in order, return true. State the time complexity O(N * L) where N is the number of strings and L is the average length, and space complexity O(1) excluding the alphabet map.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.