652. Find Duplicate Subtrees

Medium (Trung bình) Python 🔗 Xem trên LeetCode

📋 Đề Bài

Given the root of a binary tree, return all duplicate subtrees.

For each kind of duplicate subtrees, you only need to return the root node of any one of them.

Two trees are duplicate if they have the same structure with the same node values.

 

Example 1:

Input: root = [1,2,3,4,null,2,4,null,null,4]
Output: [[2,4],[4]]

Example 2:

Input: root = [2,1,1]
Output: [[1]]

Example 3:

Input: root = [2,2,2,3,null,3,null]
Output: [[2,3],[3]]

 

Constraints:

  • The number of the nodes in the tree will be in the range [1, 5000]
  • -200 <= Node.val <= 200

🧠 Thuật Toán & Kỹ Thuật

DFS (Tìm kiếm theo chiều sâu)Hash Table (Bảng băm)Tree Traversal (Duyệt cây)
⏱️ Thời gian O(V+E)
💾 Không gian O(V)

💻 Lời Giải

Python 0652-find-duplicate-subtrees.py
# 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 __init__(self):
        self.hm = defaultdict(int)
        
    def dfs(self, root: Optional[TreeNode], res: List[Optional[TreeNode]]) -> str:
        if not root:
            return ''
        s = str(root.val) + ',' + self.dfs(root.left, res) + ',' + self.dfs(root.right, res)
        if self.hm[s] == 1:
            res.append(root)
        self.hm[s] += 1
        return s
        
    def findDuplicateSubtrees(self, root: Optional[TreeNode]) -> List[Optional[TreeNode]]:
        res = []
        self.dfs(root, res)
        return res