Problem Link:

http://oj.leetcode.com/problems/flatten-binary-tree-to-linked-list/

The problem is asking for flatterning a binary tree to linked list by the pre-order, therefore we could flatten tree from the root. For each node, we link it with its next child in the pre-order, and leave the other child for the furture flattening. We could do this by using a stack. The python code is as follows.

class Solution:
# @param root, a tree node
# @return nothing, do it in place
def flatten(self, root):
"""
Traverse the tree in pre-order,
for each node, we link it and its previous node.
"""
# Special case
if not root:
return
# Previous node
prev = root
# Unlinked node in stack
stack = []
# Check root's children
if root.right:
stack.append(root.right)
if root.left:
stack.append(root.left)
# Link all nodes in the tree
while stack:
# Get the next pre-order node
next_right = stack.pop()
# Flatten the previous node
prev.right = next_right
prev.left = None
# Go to next pre_order node, and flatten its sub-tree
prev = next_right
# Check its sub-tree
if prev.right:
stack.append(prev.right)
if prev.left:
stack.append(prev.left)

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