|
| 1 | +from typing import Optional |
| 2 | +from unittest import TestCase, main |
| 3 | + |
| 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 | + |
| 13 | +class Solution: |
| 14 | + def isSubtree(self, root: Optional[TreeNode], subRoot: Optional[TreeNode]) -> bool: |
| 15 | + return self.solve_dfs(root, subRoot) |
| 16 | + |
| 17 | + """ |
| 18 | + Runtime: 35 ms (Beats 90.24%) |
| 19 | + Time Complexity: O(n) |
| 20 | + - root 트리의 크기를 n이라 하면, root 트리의 모든 노드를 조회하는데 O(n) |
| 21 | + - 각 노드마다 is_same_tree 실행하는데, subRoot 트리의 크기를 m이라 하면, 최대 subRoot의 노드의 크기만큼 조회하므로 * O(m) |
| 22 | + > O(n) * O(m) ~= O(n * m) |
| 23 | +
|
| 24 | + Memory: 17.09 (Beats 9.93%) |
| 25 | + Space Complexity: O(max(n, m)) |
| 26 | + - stack의 최대 크기는 root 트리가 편향된 경우이며, 이는 root 트리의 노드의 총 갯수와 같으므로 O(n), upper bound |
| 27 | + - is_same_tree 함수의 재귀 스택의 최대 깊이는 subRoot 트리가 편향된 경우이며, 이는 subRoot 트리의 노드의 총 갯수와 같으므로 O(m), upper bound |
| 28 | + > O(n) + O(m) ~= O(max(n, m)) |
| 29 | + """ |
| 30 | + def solve_dfs(self, root: Optional[TreeNode], subRoot: Optional[TreeNode]) -> bool: |
| 31 | + |
| 32 | + def is_same_tree(p: Optional[TreeNode], q: Optional[TreeNode]) -> bool: |
| 33 | + if p is None and q is None: |
| 34 | + return True |
| 35 | + elif (p is not None and q is not None) and (p.val == q.val): |
| 36 | + return is_same_tree(p.left, q.left) and is_same_tree(p.right, q.right) |
| 37 | + else: |
| 38 | + return False |
| 39 | + |
| 40 | + result = False |
| 41 | + stack = [root] |
| 42 | + while stack: |
| 43 | + curr = stack.pop() |
| 44 | + if (curr and subRoot) and curr.val == subRoot.val: |
| 45 | + result = result or is_same_tree(curr, subRoot) |
| 46 | + |
| 47 | + if curr.left: |
| 48 | + stack.append(curr.left) |
| 49 | + |
| 50 | + if curr.right: |
| 51 | + stack.append(curr.right) |
| 52 | + |
| 53 | + return result |
| 54 | + |
| 55 | + |
| 56 | +class _LeetCodeTestCases(TestCase): |
| 57 | + def test_1(self): |
| 58 | + root = TreeNode(3) |
| 59 | + root_1 = TreeNode(4) |
| 60 | + root_2 = TreeNode(5) |
| 61 | + root.left = root_1 |
| 62 | + root.right = root_2 |
| 63 | + root_3 = TreeNode(1) |
| 64 | + root_4 = TreeNode(2) |
| 65 | + root.left.left = root_3 |
| 66 | + root.left.right = root_4 |
| 67 | + |
| 68 | + subRoot = TreeNode(4) |
| 69 | + sub_1 = TreeNode(1) |
| 70 | + sub_2 = TreeNode(2) |
| 71 | + subRoot.left = sub_1 |
| 72 | + subRoot.right = sub_2 |
| 73 | + |
| 74 | + output = True |
| 75 | + self.assertEqual(Solution.isSubtree(Solution(), root, subRoot), output) |
| 76 | + |
| 77 | + def test_2(self): |
| 78 | + root = TreeNode(3) |
| 79 | + root_1 = TreeNode(4) |
| 80 | + root_2 = TreeNode(5) |
| 81 | + root.left = root_1 |
| 82 | + root.right = root_2 |
| 83 | + root_3 = TreeNode(1) |
| 84 | + root_4 = TreeNode(2) |
| 85 | + root.left.left = root_3 |
| 86 | + root.left.right = root_4 |
| 87 | + root_5 = TreeNode(0) |
| 88 | + root_4.left = root_5 |
| 89 | + |
| 90 | + subRoot = TreeNode(4) |
| 91 | + sub_1 = TreeNode(1) |
| 92 | + sub_2 = TreeNode(2) |
| 93 | + subRoot.left = sub_1 |
| 94 | + subRoot.right = sub_2 |
| 95 | + |
| 96 | + output = False |
| 97 | + self.assertEqual(Solution.isSubtree(Solution(), root, subRoot), output) |
| 98 | + |
| 99 | + def test_3(self): |
| 100 | + root = TreeNode(1) |
| 101 | + root.right = TreeNode(1) |
| 102 | + root.right.right = TreeNode(1) |
| 103 | + root.right.right.right = TreeNode(1) |
| 104 | + root.right.right.right.right = TreeNode(1) |
| 105 | + root.right.right.right.right.right = TreeNode(2) |
| 106 | + |
| 107 | + subRoot = TreeNode(1) |
| 108 | + subRoot.right = TreeNode(1) |
| 109 | + subRoot.right.right = TreeNode(2) |
| 110 | + |
| 111 | + output = True |
| 112 | + self.assertEqual(Solution.isSubtree(Solution(), root, subRoot), output) |
| 113 | + |
| 114 | + |
| 115 | +if __name__ == '__main__': |
| 116 | + main() |
0 commit comments