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| 1 | +# [面试题26. 树的子结构](https://leetcode-cn.com/problems/shu-de-zi-jie-gou-lcof/) |
| 2 | + |
| 3 | +## 题目描述 |
| 4 | +输入两棵二叉树 A 和 B,判断 B 是不是 A W的子结构。(约定空树不是任意一个树的子结构) |
| 5 | + |
| 6 | +B 是 A 的子结构, 即 A 中有出现和 B 相同的结构和节点值。 |
| 7 | + |
| 8 | +**例如:** |
| 9 | + |
| 10 | +给定的树 A: |
| 11 | + |
| 12 | +``` |
| 13 | + 3 |
| 14 | + / \ |
| 15 | + 4 5 |
| 16 | + / \ |
| 17 | + 1 2 |
| 18 | +``` |
| 19 | + |
| 20 | +给定的树 B: |
| 21 | + |
| 22 | +``` |
| 23 | + 4 |
| 24 | + / |
| 25 | + 1 |
| 26 | +``` |
| 27 | + |
| 28 | +返回 true,因为 B 与 A 的一个子树拥有相同的结构和节点值。 |
| 29 | + |
| 30 | +**示例 1:** |
| 31 | + |
| 32 | +``` |
| 33 | +输入:A = [1,2,3], B = [3,1] |
| 34 | +输出:false |
| 35 | +``` |
| 36 | + |
| 37 | +**示例 2:** |
| 38 | + |
| 39 | +``` |
| 40 | +输入:A = [3,4,5,1,2], B = [4,1] |
| 41 | +输出:true |
| 42 | +``` |
| 43 | + |
| 44 | +**限制:** |
| 45 | + |
| 46 | +- `0 <= 节点个数 <= 10000` |
| 47 | + |
| 48 | +## 解法 |
| 49 | +### Python3 |
| 50 | +```python |
| 51 | +# Definition for a binary tree node. |
| 52 | +# class TreeNode: |
| 53 | +# def __init__(self, x): |
| 54 | +# self.val = x |
| 55 | +# self.left = None |
| 56 | +# self.right = None |
| 57 | + |
| 58 | +class Solution: |
| 59 | + def isSubStructure(self, A: TreeNode, B: TreeNode) -> bool: |
| 60 | + return self.sub(A, B) if B else False |
| 61 | + |
| 62 | + def sub(self, A: TreeNode, B: TreeNode) -> bool: |
| 63 | + if B is None: |
| 64 | + return True |
| 65 | + if A is None: |
| 66 | + return False |
| 67 | + if A.val == B.val: |
| 68 | + return self.same(A, B) or self.sub(A.left, B) or self.sub(A.right, B) |
| 69 | + return self.sub(A.left, B) or self.sub(A.right, B) |
| 70 | + |
| 71 | + def same(self, A: TreeNode, B: TreeNode) -> bool: |
| 72 | + if B is None: |
| 73 | + return True |
| 74 | + if A is None or A.val != B.val: |
| 75 | + return False |
| 76 | + return self.same(A.left, B.left) and self.same(A.right, B.right) |
| 77 | +``` |
| 78 | + |
| 79 | +### Java |
| 80 | +```java |
| 81 | +/** |
| 82 | + * Definition for a binary tree node. |
| 83 | + * public class TreeNode { |
| 84 | + * int val; |
| 85 | + * TreeNode left; |
| 86 | + * TreeNode right; |
| 87 | + * TreeNode(int x) { val = x; } |
| 88 | + * } |
| 89 | + */ |
| 90 | +class Solution { |
| 91 | + public boolean isSubStructure(TreeNode A, TreeNode B) { |
| 92 | + return B == null ? false : sub(A, B); |
| 93 | + } |
| 94 | + |
| 95 | + private boolean sub(TreeNode A, TreeNode B) { |
| 96 | + if (B == null) { |
| 97 | + return true; |
| 98 | + } |
| 99 | + if (A == null) { |
| 100 | + return false; |
| 101 | + } |
| 102 | + if (A.val == B.val) { |
| 103 | + return isSame(A, B) || sub(A.left, B) || sub(A.right, B); |
| 104 | + } |
| 105 | + return sub(A.left, B) || sub(A.right, B); |
| 106 | + |
| 107 | + } |
| 108 | + |
| 109 | + private boolean isSame(TreeNode A, TreeNode B) { |
| 110 | + if (B == null) { |
| 111 | + return true; |
| 112 | + } |
| 113 | + if (A == null || A.val != B.val) { |
| 114 | + return false; |
| 115 | + } |
| 116 | + return isSame(A.left, B.left) && isSame(A.right, B.right); |
| 117 | + } |
| 118 | +} |
| 119 | +``` |
| 120 | + |
| 121 | +### ... |
| 122 | +``` |
| 123 | +
|
| 124 | +``` |
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