Explanation

- A **Van Emde Boas Tree** is a data structure that supports **efficient priority queue** operations.
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- It works for integer keys in a specific range and allows operations like **insert**, **delete**, and **minimum** in O(log log n) time.

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Steps

  • The tree uses recursive structure and recursive splitting of the universe to maintain fast operations.
  • It supports operations on a fixed-size universe (e.g., 0 to 1000).

Time Complexity

  • Insert/Delete/Min: O(log log n)
class VanEmdeBoasTree:
    def __init__(self, universe_size):
        self.universe_size = universe_size
        self.tree = [None] * (universe_size + 1)
    
    def insert(self, key):
        # Insert operation
        pass
 
# Example usage
veb_tree = VanEmdeBoasTree(1000)
veb_tree.insert(10)