Recover a Tree From Preorder Traversal — LeetCode 1028 Python Solution
- Problem
- #1028
- Pattern
- Tree Traversal
- Reading time
- 6 min
- Source
- leetcode.com
The problem
We run a preorder depth-first search (DFS) on the root of a binary tree. At each node in this traversal, we output D dashes (where D is the depth of this node), then we output the value of this node.
Example
- Input
- traversal = "1-2--3--4-5--6--7"
- Output
- [1,2,5,3,4,6,7]
Python solution
from typing import Optional
# Definition for a binary tree node.
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
def recoverFromPreorder(traversal: str) -> Optional[TreeNode]:
i = 0
stack = [] # (node, depth)
while i < len(traversal):
depth = 0
while i < len(traversal) and traversal[i] == '-':
depth += 1
i += 1
val = 0
while i < len(traversal) and traversal[i].isdigit():
val = val * 10 + int(traversal[i])
i += 1
node = TreeNode(val)
while stack and stack[-1][1] >= depth:
stack.pop()
if stack:
parent = stack[-1][0]
if parent.left is None:
parent.left = node
else:
parent.right = node
stack.append((node, depth))
return stack[0][0] if stack else NoneComplexity
| Measure | Complexity |
|---|---|
| Time | O(V+E) |
| Space | O(V) auxiliary |
Pattern: Tree Traversal
Choose the order — preorder, inorder, postorder, level — and the problem solves itself. LeetCode 1028. Recover a Tree From Preorder Traversal is filed here because LeetCode tags it Tree and Binary Tree, which is the vocabulary this hub collects.
The tree traversal guide has the Python template for the pattern and the 225 LeetCode problems that use it.
Related problems
Frequently asked questions
- How hard is LeetCode 1028. Recover a Tree From Preorder Traversal?
- LeetCode 1028. Recover a Tree From Preorder Traversal is rated Hard on LeetCode.
- What is the time complexity of LeetCode 1028. Recover a Tree From Preorder Traversal?
- The Python solution on this page runs in O(V+E).
- What is the space complexity of LeetCode 1028. Recover a Tree From Preorder Traversal?
- The Python solution on this page uses O(V) auxiliary space.
- What topics does LeetCode 1028. Recover a Tree From Preorder Traversal cover?
- LeetCode 1028. Recover a Tree From Preorder Traversal is tagged Tree, Depth-First Search, String and Binary Tree on LeetCode.