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Convert a Sorted Doubly Linked List to Balanced BST.

Objective: Given a sorted doubly linked list, convert it into Balanced binary search tree

Input: A Doubly Linked List


DLL TO BST Example
DLL TO BST Example


  1. Get the size of the Doubly Linked list.
  2. Take left n/2 nodes and recursively construct left subtree
  3. Make the middle node as root and assign the left subtree( constructed in step 2) to root's left.
  4. Recursively construct right subtree and link it to the the right of root made in step 3.
  5. See picture below
Doubly Linked List To BST
Doubly Linked List TO BST - Output
Doubly Linked List TO BST - Output



DLL is :
1 2 3 4 5 6 7 8 9
Inorder traversal of contructed BST
1 2 3 4 5 6 7 8 9

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