Answer :
Final answer:
Inserting elements in a balanced tree varies with tree structure; advanced structures like red-black and AVL trees ensure efficient insertions by maintaining balance.
Explanation:
Inserting an element in a balanced tree in the worst case involves considering the tree's structure. In a nicely balanced or "bushy" tree, insertion time is logarithmic, typically O(log2(n)). On the contrary, in severely unbalanced trees like a reverse-sorted linked list, insertion time can be O(n).
More advanced binary tree structures like red-black trees and AVL trees are designed to maintain balance during insertions. These trees ensure efficient insertion even in real-world scenarios where item order may vary.
While simple binary search trees can exhibit worst-case linear insertion time, sophisticated balanced trees offer improved performance by maintaining bushiness, thus enhancing efficiency.
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