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What is the time complexity to delete the root of a minimum-level BST with n nodes?...

What is the time complexity to delete the root of a minimum-level BST with n nodes? Explain.

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Solution:

The complexity of deleting the root of a minimum-level BST with n nodes is O(logn).

Explanation:

The deletion of root is a iterative process involving two steps:

  • The first step involves getting the root
  • The next step is to pick one of the child elements and replace to root node.
  • his step goes on until we reach one of the leaf nodes.

So getting the root is O(1)

getting the child process O(1)

keep this repeating until we reach a leave node.

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