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國立政治大學 2026 · 考試 · 第 9 題

(5%) Suppose we have a queue Q containing the sequence 1, 2, 3, 4, 5. We also have an empty stack S. The only allowable operations are:

  • Dequeue an element from Q and print it.
  • Dequeue an element from Q and push it onto S.
  • Pop an element from S and print it.

Which of the following permutations is impossible to generate as an output sequence?

  • (A)
    1, 5, 4, 3, 2
  • (B)
    3, 4, 5, 2, 1
  • (C)
    1, 3, 2, 5, 4
  • (D)
    4, 3, 1, 2, 5

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