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Design algorithms for the following operations for a binary tree T: • preorderNext(p): Return the…

Design algorithms for the following operations for a binary tree T: • preorderNext(p): Return the…

Design algorithms for the following operations for a binary tree T:• preorderNext(p): Return the position visited after p in a preorder traversal of T (or null if p is the last node visited). • inorderNext(p): Return the position visited after p in an inorder traversal of T (or null if p is the last node visited). • postorderNext(p): Return the position visited after p in a postorder traversal of T (or null if p is the last node visited).What are the worst-case running times of your algorithms?