Pre-order
root -> left -> right
# recursive solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def preorderTraversal(self, root: TreeNode) -> List[int]:
'''
:param root: TreeNode
:return: List[int]
'''
# order: root, left, right
# recursive solution
res = []
if root:
res.append(root.val)
res += self.preorderTraversal(root.left)
res += self.preorderTraversal(root.right)
return res
# iterative solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def preorderTraversal(self, root: TreeNode) -> List[int]:
'''
:param root: TreeNode
:return: List[int]
'''
# order: root, left, right
# iterative solution
# add root val in res first, then stack pop the left node val, finally right ones
# finally, the stack contains root, left and right subtree val
res, stack = [], [root]
while stack:
node = stack.pop()
if node:
res.append(node.val)
stack.append(node.right)
stack.append(node.left)
return res
In-order
left -> root -> right
# recursive solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def inorderTraversal(self, root):
'''
:param root: TreeNode
:return: List[int]
'''
res = []
if root:
res = self.inorderTraversal(root.left)
res.append(root.val)
res += self.inorderTraversal(root.right)
return res
# Iterative solution using stack
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def inorderTraversal(self, root):
'''
:param root: TreeNode
:return: List[int]
'''
# order: left -> root -> right
res, stack = [], []
while True:
# iteratively till root and all left subtree branch are pushed into the stack
while root:
stack.append(root) # add root addr in stack
root = root.left # now root changes to be its left node
# use pop method and finally return res as result
if not stack:
return res
# pop left subtree first, then root and finally right subtree
node = stack.pop()
# add data into res
res.append(node.val)
# check right child of the poped node
root = node.right
Post-order
left -> right -> root
# recursive solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def postorderTraversal(self, root: TreeNode) -> List[int]:
'''
:param root: TreeNode
:return: List[int]
'''
# order: left, right, root
# recursive solution
res = []
if root:
res = self.postorderTraversal(root.left)
res += self.postorderTraversal(root.right)
res.append(root.val)
return res
# iterative solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def postorderTraversal(self, root: TreeNode) -> List[int]:
'''
:param root: TreeNode
:return: List[int]
'''
# order: left, right, root
# iterative solution
# add root val in res first, then stack pop the right node val, finally left ones
# finally, the stack contains root, right and left subtree val
res, stack = [], [root]
while stack:
node = stack.pop()
if node:
res.append(node.val)
stack.append(node.left)
stack.append(node.right)
return res[::-1]
Level-order
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def levelOrder(self, root: TreeNode) -> List[List[int]]:
if root is None:
return []
# cur represents level or node addr
res, cur = [], [root]
# loop till cur traverse to the leaf node
while cur:
tmp, new = [], []
for node in cur:
# add value into tmp
tmp.append(node.val)
# new to store addr
if node.left:
new.append(node.left)
if node.right:
new.append(node.right)
res.append(tmp)
#update cur
cur = new
return res
Construct tree via pre-order and in-order
- find root in pre-order
- fetch left and right part of tree in in-order and search in pre-order
- root -> left -> right
# Definition for a binary tree node.
# class TreeNode(object):
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution(object):
def buildTree(self, preorder, inorder):
"""
:type preorder: List[int]
:type inorder: List[int]
:rtype: TreeNode
"""
if inorder:
ind = inorder.index(preorder.pop(0))
root = TreeNode(inorder[ind])
root.left = self.buildTree(preorder, inorder[0:ind])
root.right = self.buildTree(preorder, inorder[ind+1:])
return root
Construct tree via in-order and post-order
- find root in post-order
- fetch left and right part of tree in in-order and search in post-order
- root -> right -> left
That’s because inorder traversal goes ‘Left-Parent-Right’ and postorder traversal goes ‘Left-Right-Parent’.
And, postorder.pop() keeps picking the right-most element of the list, that means it should go ‘Parent-(one of parents of) Right (subtree) - Left’.
So, switching the order doesn’t work.
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution:
def buildTree(self, inorder: List[int], postorder: List[int]) -> TreeNode:
if not inorder or not postorder:
return None
if inorder:
ind = inorder.index(postorder.pop())
root = TreeNode(inorder[ind])
root.right = self.buildTree(inorder[ind+1:], postorder)
root.left = self.buildTree(inorder[0:ind], postorder)
return root
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