Minimum Number of Operations to Sort a Binary Tree by Level — LeetCode 2471 Python Solution
MediumTreeBreadth-First SearchBinary Tree
- Problem
- #2471
- Pattern
- Tree Traversal
- Reading time
- 6 min
- Source
- leetcode.com
The problem
You are given the root of a binary tree with unique values. In one operation, you can choose any two nodes at the same level and swap their values.
Example
- Input
- root = [1,4,3,7,6,8,5,null,null,null,null,9,null,10]
- Output
- 3
- Explanation
- - Swap 4 and 3. The 2nd level becomes [3,4].
Python solution
Python
# 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
class Solution:
def minimumOperations(self, root: Optional[TreeNode]) -> int:
def swap(arr, i, j):
arr[i], arr[j] = arr[j], arr[i]
def f(t):
n = len(t)
m = {v: i for i, v in enumerate(sorted(t))}
for i in range(n):
t[i] = m[t[i]]
ans = 0
for i in range(n):
while t[i] != i:
swap(t, i, t[i])
ans += 1
return ans
q = deque([root])
ans = 0
while q:
t = []
for _ in range(len(q)):
node = q.popleft()
t.append(node.val)
if node.left:
q.append(node.left)
if node.right:
q.append(node.right)
ans += f(t)
return ansComplexity
| Measure | Complexity |
|---|---|
| Time | O(n \times \log n) |
| Space | O(V) auxiliary |
Pattern: Tree Traversal
Choose the order — preorder, inorder, postorder, level — and the problem solves itself. LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level 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 2471. Minimum Number of Operations to Sort a Binary Tree by Level?
- LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level is rated Medium on LeetCode.
- What is the time complexity of LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level?
- The Python solution on this page runs in O(n \times \log n).
- What is the space complexity of LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level?
- The Python solution on this page uses O(V) auxiliary space.
- What topics does LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level cover?
- LeetCode 2471. Minimum Number of Operations to Sort a Binary Tree by Level is tagged Tree, Breadth-First Search and Binary Tree on LeetCode.