Explanation

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

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)