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AI: Search Methods for Problem Solving · Quiz 1 · 26 Oct 2025 · September 2025 term

Question 2: STATE SPACE\ Consider 3-puzzle (a smaller version of 8-pu…

Question 2

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STATE SPACE
Consider 3-puzzle (a smaller version of 8-puzzle) where a tile (carrying a numeric label) can slide one position either horizontally or vertically into the adjacent empty spot, effectively swapping the tile and the adjacent empty spot. A tile cannot slide diagonally.

Begin from the start state and build the state space graph by generating valid moves, call it Graph- 1230, use this graph to answer the sub-questions.

Select the statements that are true about Graph-1230.

Select all that apply.

  1. A

    Every move is reversible.

  2. B

    Every state has a path to every other state.

  3. C

    Some states have more than two neighbours.

  4. D

    Every state has exactly two neighbours.

  5. E

    Every state has exactly one neighbour.

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Correct answers

  • A

    Every move is reversible.

  • B

    Every state has a path to every other state.

  • D

    Every state has exactly two neighbours.

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Question 2 of 20 in the IIT Madras BS AI: Search Methods for Problem Solving (AI Search Methods) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term (IIT M DEGREE AN EXAM QDB2 26 Oct 2025). It carries 1 mark.

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