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I got the BFS part for the length pretty quickly, that felt fine.
Model the problem as a graph where each word is a node and edges connect words differing by one letter. Use BFS to find the shortest transformation length, then extend BFS to track predecessors for path reconstruction or to collect all shortest paths.
Pro tip: When extending to all shortest paths, avoid exponential blowup by storing only the shortest distance to each word and building paths backward from the end word using the distance map.
Confirm constraints (word length, list size, case sensitivity) and model the problem as an unweighted graph where nodes are words and edges connect words differing by exactly one letter.
Run BFS from the start word, exploring neighbors level by level. Stop when the end word is reached, returning the current depth as the shortest length.
Use precomputed patterns (e.g., replacing each character with '*') to group words and quickly find neighbors, reducing time from O(N^2 * L) to O(N * L).
During BFS, store each word's predecessor(s) or distance. After reaching the end, backtrack from the end word to the start using the stored information to reconstruct one or all shortest paths.
To return all shortest paths, maintain a list of predecessors for each word at the same BFS level. Then perform DFS from the end word to collect all paths, ensuring no cycles.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.