Question: Answer this question in Java. 1. (15 marks) Design an algorithm for the following operations for a binary tree BT, and show the worst-case running

Answer this question in Java.

1. (15 marks) Design an algorithm for the following operations for a binary tree BT, and show the worst-case running times for each implementation: preorderNext (x): return the node visited after node x in a pre-order traversal of BT postorderNext(x): return the node visited after node x in a post-order traversal of BT. inorderNext (x): return the node visited after node x in an in-order traversal of BT 1. (15 marks) Design an algorithm for the following operations for a binary tree BT, and show the worst-case running times for each implementation: preorderNext (x): return the node visited after node x in a pre-order traversal of BT postorderNext(x): return the node visited after node x in a post-order traversal of BT. inorderNext (x): return the node visited after node x in an in-order traversal of BT

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