Representation of Persistent Segment Tree

Each node in a Persistent Segment Tree contains:

  • Value: The value stored at this node, which typically represents an aggregate (like sum, min, or max) over a segment of the array.
  • Left: A reference to the left child node.
  • Right: A reference to the right child node.
Node Structure
class Node:
    def __init__(self, value=0, left=None, right=None):

        # Initialize a new node
        self.value = value  # The value stored in this node
        self.left = left    # Reference to the left child node
        self.right = right  # Reference to the right child node

Persistent Segment Tree in Python

Persistent data structures are a powerful tool in computer science, enabling us to maintain and access multiple versions of a data structure over time. One such structure is the Persistent Segment Tree. Segment trees are versatile data structures that allow efficient querying and updating of array intervals. By making a segment tree persistent, we enhance its capability to maintain historical versions, which is particularly useful in competitive programming and real-time applications where rollback and point-in-time queries are needed. This article explores the concept, implementation in Python.

Persistent segment trees

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Representation of Persistent Segment Tree:

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