Coding interview questionHard
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Fewest Moves to Solve a Sliding Tile Puzzle

Given a small 2-by-3 sliding tile puzzle board with one blank space, find the minimum number of adjacent tile slides needed to reach a specified target arrangement, or report it is unreachable.

1. Problem Statement

You are given a 2x3 sliding tile board (6 cells, one of which is blank, represented as 0) in a start arrangement and a target arrangement. Each move slides a tile adjacent to the blank into the blank space. Return the minimum number of moves to reach the target arrangement from the start, or -1 if it cannot be reached.

2. Live Coding Format

Work in the provided coding workspace while explaining your decisions to the live interviewer. Validation may use inline tests, examples, comments, or a verbal walkthrough.

3. Key Focus Areas

  • 1
    Problem clarification and contract
  • 2
    Approach exploration and optimality
  • 3
    Think-aloud communication and pacing
  • 4
    Implementation correctness
  • 5
    Code quality and language fluency
  • 6
    Tests and dry run
  • 7
    Debugging and self-correction
  • 8
    Complexity analysis
  • 9
    Follow-up performance

4. What Strong Candidates Should Demonstrate

  • Clarify board encoding, move rules, and unreachable-case behavior before coding.
  • Explain why a naive search can loop or miss the shortest answer, and improve it to an approach that always finds the fewest moves.
  • Think aloud while implementing readable, correct code.
  • Validate with explicit expected outputs and a top-to-bottom dry run.
  • Analyze time and space complexity and handle a focused follow-up extension.

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Core Concepts

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