I'd done trie problems before so this felt familiar at first.
Start by clarifying requirements and assumptions, then describe the trie data structure and how it supports insert and suggest operations. Explain the ordering strategy (e.g., lexicographical or frequency-based) and how to efficiently retrieve up to five suggestions. Finally, analyze time and space complexity for both operations.
Pro tip: Mention that storing the top suggestions at each node can optimize the suggest operation to O(1) after the prefix is found, but this increases space usage. Discuss the trade-off between time and space, and consider whether the word list is static or dynamic.
Ask about expected input size, whether suggestions should be ordered by frequency or lexicographically, and if the word list is static or dynamic. Confirm that the service should return up to five words.
Describe a trie where each node represents a character and has children pointers (e.g., array or hashmap) and a flag indicating the end of a word. Optionally, store additional data like frequency or top suggestions at each node.
Traverse the trie, creating nodes as needed, and mark the final node as a word end. If using frequency, increment the count. Update any cached top suggestions along the path if applicable.
Traverse the trie to the node corresponding to the prefix. Then perform a traversal (e.g., DFS) to collect up to five words in the desired order. If using cached suggestions, return them directly.
For insert: O(L) time, O(L) space per word. For suggest: O(P + K) where P is prefix length and K is the number of nodes visited to collect suggestions, or O(P) if cached. Discuss space overhead of caching and alternatives like ternary search trees.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
This one tripped me up more than I expected.
Reframe the problem as maximizing the gain from flipping a window of length at most k, where gain is the sum of values at indices that are not yet decrypted. Use a sliding window to compute the maximum gain in O(n), then add the base score of already decrypted indices.
Pro tip: Clarify edge cases upfront (e.g., k=0, all decrypted, negative values) and mention that the window can be shorter than k; this shows attention to detail and avoids incorrect assumptions.
Restate the problem: you have a base score from already decrypted indices, and you can decrypt a contiguous subarray of length at most k. The goal is to maximize the total score.
Calculate the sum of values where flag is 1 (base score). Create an array where each element is the value if flag is 0, else 0, representing the potential gain from decrypting that index.
Use a sliding window of size up to k to find the maximum sum of the gain array over any contiguous subarray of length at most k. This can be done in O(n) by maintaining a running sum and updating the maximum.
Add the maximum gain to the base score to get the maximum possible total score. Handle edge cases such as k=0 or no negative gains by ensuring the window sum is at least 0 (i.e., you can choose an empty subarray).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the definition of 'touching' and confirm input assumptions. Then, sort the ranges by start, iterate through them, and merge overlapping or adjacent ranges into a result list. Finally, analyze time and space complexity, noting the O(n log n) sorting step and O(n) merging step.
Pro tip: Mention that sorting is necessary for efficiency and that in-place merging can save space if the input can be modified. Also, discuss edge cases like empty input or single range to show thoroughness.
Ask about input format, whether ranges are inclusive, and if the input can be modified. Confirm that 'touching' means end + 1 >= next start.
Sort the list of ranges by their start value. This ensures that any overlapping or adjacent ranges will be consecutive.
Initialize a result list with the first range. For each subsequent range, if it overlaps or touches the last range in the result, merge them by updating the end; otherwise, append it.
State that sorting takes O(n log n) time, merging takes O(n) time, so overall O(n log n). Space is O(n) for the result, or O(1) extra if merging in-place.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.