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Consider the following graph:Which one of the following cannot be the sequence of edges added, in that order, to a minimum spanning tree using Kruskal's algorithm?<image 1>



(A) (a-b),(d-f),(b-f),(d-c),(d-e)


(B) (a-b),(d-f),(d-c),(b-f),(d-e)


(C) (d-f),(a-b),(d-c),(b-f),(d-e)


(D) (d-f),(a-b),(b-f),(d-e),(d-c)


Answer with the option's letter from the given choices directly. No punctuation.


Google: Gemini Pro Vision 1.0
mmmu / Computer_SciencePublic

A


Expected Answer: D

Difficulty: Hard

Subfield: Data Structure and Algorithm


Explanation: The edge (d-e) cannot be considered before (d-c) in Kruskal's minimum spanning tree algorithm because Kruskal's algorithm picks the edge with minimum weight from the current set of edges at each step.

Evaluation

Evaluation ID
32b9ac1d-5464-49f5-ad32-05d171db0664
Created
February 21, 2024
Raw Output
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  "model": "google/gemini-pro-vision",
  "choices": [
    {
      "message": {
        "role": "assistant",
        "content": " A"
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      "finish_reason": "STOP"
    }
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  "object": "chat.completion",
  "created": 1708555951,
  "usage": {
    "prompt_tokens": 1656,
    "completion_tokens": 4,
    "total_tokens": 1660
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}