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| 1 | +# https://leetcode.com/problems/subtree-of-another-tree/ |
| 2 | + |
| 3 | +from typing import Optional |
| 4 | + |
| 5 | +# Definition for a binary tree node. |
| 6 | +class TreeNode: |
| 7 | + def __init__(self, val=0, left=None, right=None): |
| 8 | + self.val = val |
| 9 | + self.left = left |
| 10 | + self.right = right |
| 11 | + |
| 12 | +class Solution: |
| 13 | + def isSubtree(self, root: Optional[TreeNode], subRoot: Optional[TreeNode]) -> bool: |
| 14 | + """ |
| 15 | + [Complexity] |
| 16 | + - TC: O(n * m) (n = root ๋ด ๋
ธ๋ ๊ฐ์, m = subRoot ๋ด ๋
ธ๋ ๊ฐ์) |
| 17 | + - SC: O(n + m) (call stack) |
| 18 | +
|
| 19 | + [Approach] |
| 20 | + ๋ค์๊ณผ ๊ฐ์ด ๋์์ ๋๋ ์ ์๋ค. |
| 21 | + (1) tree๋ฅผ ํ๊ณ ๋ด๋ ค๊ฐ๋ ๋ก์ง : dfs |
| 22 | + (2) ๋ tree๊ฐ ๋์ผํ์ง ํ๋จํ๋ ๋ก์ง : check |
| 23 | + """ |
| 24 | + |
| 25 | + def check(node1, node2): |
| 26 | + # base condition |
| 27 | + if not node1 and not node2: |
| 28 | + return True |
| 29 | + if not node1 or not node2: |
| 30 | + return False |
| 31 | + |
| 32 | + # recur |
| 33 | + return ( |
| 34 | + node1.val == node2.val # ๋ ๋
ธ๋์ ๊ฐ์ด ๊ฐ๊ณ |
| 35 | + and check(node1.left, node2.left) # ํ์ children๋ ๋ชจ๋ ๊ฐ์์ผ ํจ |
| 36 | + and check(node1.right, node2.right) |
| 37 | + ) |
| 38 | + |
| 39 | + def dfs(node, sub_tree): |
| 40 | + # base condition |
| 41 | + if not node: |
| 42 | + return False |
| 43 | + |
| 44 | + # recur |
| 45 | + return ( |
| 46 | + check(node, sub_tree) # ํ์ฌ node๋ถํฐ sub_tree์ ๋์ผํ์ง ํ์ธ |
| 47 | + or dfs(node.left, sub_tree) # ๋์ผํ์ง ์๋ค๋ฉด, node.left๋ก ํ๊ณ ๋ด๋ ค๊ฐ์ ํ์ธ |
| 48 | + or dfs(node.right, sub_tree) # ๋์ผํ์ง ์๋ค๋ฉด, node.right๋ก๋ ํ๊ณ ๋ด๋ ค๊ฐ์ ํ์ธ |
| 49 | + ) |
| 50 | + |
| 51 | + return dfs(root, subRoot) |
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