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1. In computer science, a classic problem is how to dynamically store information so as to let for quick look up. This searching problem arises frequently in dictionaries, symbol tables for compilers, telephone directory and while storing business records etc. The records are stored into a balanced binary tree, depend on the keys (numerical or alphabetical) order. The balanced nature of the tree limits its height to O (log n), where n is the number of added records.
2. AVL trees are extremely fast on searches & replacements. However, have a moderately high cost for insertion and deletion. If application does a lot more searches and replacements than it does addition & deletions, the balanced (AVL) binary tree is a good option for a data structure.
3. AVL tree also contain applications in file systems.
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The complexity of searching an element from a set of n elements using Binary search algorithm is O(log n)
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