February 24, 2025 |56.3K Views

Morris traversal for Inorder

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Morris Traversal is an efficient method for performing an inorder traversal of a binary tree without using recursion or a stack. The key idea behind Morris Traversal is to use threaded binary trees, which create temporary links (or "threads") to the inorder successors of nodes, allowing traversal without additional space. The process involves traversing the tree and making changes to the tree's structure temporarily, which are reverted after the traversal is complete.

The algorithm works by setting the current node as the root and iterating through the tree. If a node does not have a left child, the node's value is printed and the traversal moves to the right child. If a node has a left child, the inorder predecessor is found (the rightmost node in the left subtree). If the right child of the predecessor points back to the current node, the changes made to the tree structure are undone, and the current node’s data is printed before moving to the right child. This process ensures that no extra space is used, and the tree is restored to its original form at the end. The time complexity of this approach is O(n), where n is the number of nodes in the tree, and the space complexity is O(1), as no extra data structures are used.

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