Word Ladder

Algorithms
Hard
Salesforce
88.4K views

Given two words, `beginWord` and `endWord`, and a dictionary `wordList`, find the length of the shortest transformation sequence from `beginWord` to `endWord`.

Why Interviewers Ask This

Salesforce asks this Hard-level graph problem to evaluate a candidate's mastery of Breadth-First Search (BFS) for shortest path discovery. It specifically tests the ability to model implicit graphs where nodes are words and edges represent single-character transformations. Interviewers assess whether you can optimize space complexity using bidirectional search or efficient neighbor generation, reflecting Salesforce's focus on scalable, high-performance data processing solutions.

How to Answer This Question

1. Clarify constraints: Confirm if wordList contains duplicates, case sensitivity rules, and if beginWord is guaranteed to be in the list. This mirrors Salesforce's emphasis on edge-case handling in production code. 2. Model the problem: Explicitly state that this is an unweighted graph traversal where each node is a word and edges connect words differing by one character. 3. Select the algorithm: Propose BFS as the standard approach for finding the shortest path in unweighted graphs. Mention Bidirectional BFS as an optimization strategy to reduce the search space significantly. 4. Discuss implementation details: Explain how to generate neighbors efficiently without checking every dictionary word against every other word, perhaps by using a hash set for O(1) lookups or a Trie structure. 5. Analyze complexity: Clearly articulate time and space complexity, noting that generating all possible variations of a word takes O(L * 26) where L is word length. 6. Walk through an example: Trace the logic with a small input like 'hit' to 'cog' to demonstrate your thought process before writing code.

Key Points to Cover

  • Explicitly identifying the problem as an unweighted graph traversal requiring BFS
  • Demonstrating knowledge of Bidirectional BFS as a performance optimization
  • Explaining efficient neighbor generation to avoid O(N*M) comparisons
  • Correctly handling edge cases like unreachable targets or empty dictionaries
  • Articulating clear time and space complexity analysis

Sample Answer

To solve the Word Ladder problem at Salesforce, I first recognize this as a classic shortest-path problem in an unweighted graph. The goal is to find the minimum number of steps to transform beginWord into endWord, chang…

Common Mistakes to Avoid

  • Using Depth-First Search (DFS) which finds any path but not necessarily the shortest one
  • Failing to use a HashSet for the wordList, leading to O(N) lookups inside the loop
  • Ignoring the constraint that intermediate words must exist in the dictionary
  • Not considering memory usage when storing visited nodes in very large word lists

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