Flatten Binary Tree To Linked List
To solve this coding challenge, we need to understand the problem requirements and implement a solution that flattens a binary tree into a linked list using pre-order traversal. The right child pointer of each node should point to the next node in the list, and the left child pointer should be null.
# Explanation
The challenge involves manipulating a binary tree structure to transform it into a single, right-skewed list that reflects a pre-order traversal. Pre-order traversal means visiting the root node first, then recursively visiting the left subtree, followed by the right subtree.Requirements:
- Modify the original tree in place (O(1) extra space).
- Ensure the resultant list represents a pre-order traversal.
- Traverse the tree using a stack to simulate the recursive behavior without using extra space inherent in recursion.
- Begin from the root node and process nodes in pre-order fashion.
- Maintain a stack to store nodes temporarily.
- For each node, visit the node, push its right child onto the stack (if it exists), then push its left child onto the stack (if it exists).
- Adjust the pointers such that the left child pointer of the current node is always null, and the right child pointer points to the next node in pre-order traversal.
- Initialization :
- Check if the root is null. If null, there is nothing to flatten, so return immediately.
- Stack Setup :
- Initialize a stack and push the root node onto it. This simulates the beginning of the pre-order traversal.
- Iteration and Node Processing :
- While the stack is not empty, continue processing:
- Pop the node from the stack, which represents the current node.
- If the current node has a right child, push it onto the stack. This ensures the right child is processed after the left child but before siblings.
- If the current node has a left child, push it onto the stack.
- If the stack is not empty, adjust the current node's right pointer to point to the node on the top of the stack, ensuring the correct pre-order linkage.
- Set the current node's left child to null.
High-Level Approach:
Step-by-Step Explanation:
# Detailed Steps in Pseudocode:
// Definition of TreeNode:
// class TreeNode {
// value
// left child (TreeNode)
// right child (TreeNode)
// }
// Function to flatten the binary tree to a linked list
function flattenBinaryTreeToLinkedList(rootNode):
// Base case: if the root node is null, return immediately
if rootNode is null:
return
// Initialize a stack to keep track of nodes to process
stack = create new stack
stack.push(rootNode)
// Process nodes until the stack is empty
while stack is not empty:
// Pop the top node from the stack as the current node to process
currentNode = stack.pop()
// If the current node has a right child, push it onto the stack
if currentNode.rightChild is not null:
stack.push(currentNode.rightChild)
// If the current node has a left child, push it onto the stack
if currentNode.leftChild is not null:
stack.push(currentNode.leftChild)
// If the stack is not empty, set the current node's right child to the next node in pre-order
if stack is not empty:
currentNode.rightChild = stack.top()
// Set the current node's left child to null, as the left pointers are not used in the linked list format
currentNode.leftChild = null
// Example use case to call the function:
// rootNode = [ Example Tree ]
// flattenBinaryTreeToLinkedList(rootNode)
// The tree rooted at 'rootNode' should now be flattened into a linked list
By following this detailed explanation and accompanying pseudocode, you will be able to transform a binary tree into a linked list following the pre-order traversal sequence. This method ensures in-place modification of the original tree without requiring additional space, as dictated by the follow-up constraint of the problem.