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Given the roots of two binary trees root
and subRoot
, return true
if there is a subtree of root
with the same structure and node values of subRoot
and false
otherwise.
A subtree of a binary tree tree
is a tree that consists of a node in tree
and all of this node's descendants. The tree tree
could also be considered as a subtree of itself.
Example 1:
Input: root = [3,4,5,1,2], subRoot = [4,1,2] Output: true
Example 2:
Input: root = [3,4,5,1,2,null,null,null,null,0], subRoot = [4,1,2] Output: false
Constraints:
- The number of nodes in the
root
tree is in the range[1, 2000]
. - The number of nodes in the
subRoot
tree is in the range[1, 1000]
. -10 4 <= root.val <= 10 4
-10 4 <= subRoot.val <= 10 4
Python
# time complexity: O(m*n) # space complexity: O(m+n) from typing import Optional class TreeNode: def __init__(self, val=0, left=None, right=None): self.val = val self.left = left self.right = right class Solution: def isSameTree(self, root1: Optional[TreeNode], root2: Optional[TreeNode]) -> bool: if not root1 and not root2: return True if not root1 or not root2: return False if root1.val != root2.val: return False return self.isSameTree(root1.left, root2.left) and self.isSameTree(root1.right, root2.right) def isSubtree(self, root: Optional[TreeNode], subRoot: Optional[TreeNode]) -> bool: def dfs(node): if node is None: return False elif self.isSameTree(node, subRoot): return True return dfs(node.left) or dfs(node.right) return dfs(root) root = TreeNode(3) root.left = TreeNode(4) root.left.left = TreeNode(1) root.left.right = TreeNode(2) root.right = TreeNode(5) subRoot = TreeNode(4) subRoot.left = TreeNode(1) subRoot.right = TreeNode(2) print(Solution().isSubtree(root, subRoot))