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國立中央大學 2026 · 考試 · 第 22 題

Height: Assume that the height of a tree node is the number of edges on the longest path from the node to a leaf. A leaf node will have a height of 0.

Balance: The balance of a binary tree node is defined as the left child node's height minus the right child node's height. The balance of a leaf node is 0 (since the height of a NULL child node is defined as -1).

What is the height of the root of a Binary Search Tree (BST) after inserting 5, 3, 9, 2, 4, 7, 1, 6, 10, 8? The tree is empty initially.

  • (A)
    3
  • (B)
    4
  • (C)
    5
  • (D)
    6
  • (E)
    7

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