What algorithm is used to determine the position of an element in a TreeMap structure and what is its time complexity?

In Java, TreeMap is implemented based on a red-black tree — a balanced binary search tree. To determine the position of an element (for example, during insertion or search), a binary search is used on the keys, comparing the keys with the current nodes of the tree.

The time complexity of search, insertion, and deletion operations in TreeMap is O(log n), where n is the number of elements in the map. This is achieved through tree balancing, which ensures that the height of the tree is proportional to the logarithm of the number of elements.