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45 | 45 |
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46 | 46 | <!-- 这里可写通用的实现逻辑 -->
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47 | 47 |
|
| 48 | +**方法一:后序遍历** |
| 49 | + |
| 50 | +时间复杂度 $O(n)$,空间复杂度 $O(n)$。其中 $n$ 是树的节点数。 |
| 51 | + |
48 | 52 | <!-- tabs:start -->
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49 | 53 |
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50 | 54 | ### **Python3**
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51 | 55 |
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52 | 56 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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53 | 57 |
|
54 | 58 | ```python
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| 59 | +# Definition for a binary tree node. |
| 60 | +# class TreeNode: |
| 61 | +# def __init__(self, val=0, left=None, right=None): |
| 62 | +# self.val = val |
| 63 | +# self.left = left |
| 64 | +# self.right = right |
| 65 | +class Solution: |
| 66 | + def delNodes(self, root: TreeNode, to_delete: List[int]) -> List[TreeNode]: |
| 67 | + def dfs(fa, root): |
| 68 | + if root is None: |
| 69 | + return |
| 70 | + dfs(root, root.left) |
| 71 | + dfs(root, root.right) |
| 72 | + if root.val in s: |
| 73 | + if fa and fa.left == root: |
| 74 | + fa.left = None |
| 75 | + if fa and fa.right == root: |
| 76 | + fa.right = None |
| 77 | + if root.left: |
| 78 | + ans.append(root.left) |
| 79 | + if root.right: |
| 80 | + ans.append(root.right) |
55 | 81 |
|
| 82 | + s = set(to_delete) |
| 83 | + ans = [] |
| 84 | + if root.val not in s: |
| 85 | + ans.append(root) |
| 86 | + dfs(None, root) |
| 87 | + return ans |
56 | 88 | ```
|
57 | 89 |
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58 | 90 | ### **Java**
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59 | 91 |
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60 | 92 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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61 | 93 |
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62 | 94 | ```java
|
| 95 | +/** |
| 96 | + * Definition for a binary tree node. |
| 97 | + * public class TreeNode { |
| 98 | + * int val; |
| 99 | + * TreeNode left; |
| 100 | + * TreeNode right; |
| 101 | + * TreeNode() {} |
| 102 | + * TreeNode(int val) { this.val = val; } |
| 103 | + * TreeNode(int val, TreeNode left, TreeNode right) { |
| 104 | + * this.val = val; |
| 105 | + * this.left = left; |
| 106 | + * this.right = right; |
| 107 | + * } |
| 108 | + * } |
| 109 | + */ |
| 110 | +class Solution { |
| 111 | + public List<TreeNode> delNodes(TreeNode root, int[] to_delete) { |
| 112 | + boolean[] del = new boolean[1001]; |
| 113 | + for (int d : to_delete) { |
| 114 | + del[d] = true; |
| 115 | + } |
| 116 | + List<TreeNode> res = new ArrayList<>(); |
| 117 | + dfs(root, true, del, res); |
| 118 | + return res; |
| 119 | + } |
| 120 | + |
| 121 | + private TreeNode dfs(TreeNode root, boolean isRoot, boolean[] del, List<TreeNode> res) { |
| 122 | + if (root == null) { |
| 123 | + return null; |
| 124 | + } |
| 125 | + boolean flag = del[root.val]; |
| 126 | + if (!flag && isRoot) { |
| 127 | + res.add(root); |
| 128 | + } |
| 129 | + root.left = dfs(root.left, flag, del, res); |
| 130 | + root.right = dfs(root.right, flag, del, res); |
| 131 | + return flag ? null : root; |
| 132 | + } |
| 133 | +} |
| 134 | +``` |
| 135 | + |
| 136 | +```java |
| 137 | +/** |
| 138 | + * Definition for a binary tree node. |
| 139 | + * public class TreeNode { |
| 140 | + * int val; |
| 141 | + * TreeNode left; |
| 142 | + * TreeNode right; |
| 143 | + * TreeNode() {} |
| 144 | + * TreeNode(int val) { this.val = val; } |
| 145 | + * TreeNode(int val, TreeNode left, TreeNode right) { |
| 146 | + * this.val = val; |
| 147 | + * this.left = left; |
| 148 | + * this.right = right; |
| 149 | + * } |
| 150 | + * } |
| 151 | + */ |
| 152 | +class Solution { |
| 153 | + private List<TreeNode> ans = new ArrayList<>(); |
| 154 | + private Set<Integer> s = new HashSet<>(); |
| 155 | + |
| 156 | + public List<TreeNode> delNodes(TreeNode root, int[] to_delete) { |
| 157 | + for (int v : to_delete) { |
| 158 | + s.add(v); |
| 159 | + } |
| 160 | + if (!s.contains(root.val)) { |
| 161 | + ans.add(root); |
| 162 | + } |
| 163 | + dfs(null, root); |
| 164 | + return ans; |
| 165 | + } |
| 166 | + |
| 167 | + private void dfs(TreeNode fa, TreeNode root) { |
| 168 | + if (root == null) { |
| 169 | + return; |
| 170 | + } |
| 171 | + dfs(root, root.left); |
| 172 | + dfs(root, root.right); |
| 173 | + if (s.contains(root.val)) { |
| 174 | + if (fa != null && fa.left == root) { |
| 175 | + fa.left = null; |
| 176 | + } |
| 177 | + if (fa != null && fa.right == root) { |
| 178 | + fa.right = null; |
| 179 | + } |
| 180 | + if (root.left != null) { |
| 181 | + ans.add(root.left); |
| 182 | + } |
| 183 | + if (root.right != null) { |
| 184 | + ans.add(root.right); |
| 185 | + } |
| 186 | + } |
| 187 | + } |
| 188 | +} |
| 189 | +``` |
| 190 | + |
| 191 | +### **C++** |
| 192 | + |
| 193 | +```cpp |
| 194 | +/** |
| 195 | + * Definition for a binary tree node. |
| 196 | + * struct TreeNode { |
| 197 | + * int val; |
| 198 | + * TreeNode *left; |
| 199 | + * TreeNode *right; |
| 200 | + * TreeNode() : val(0), left(nullptr), right(nullptr) {} |
| 201 | + * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {} |
| 202 | + * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {} |
| 203 | + * }; |
| 204 | + */ |
| 205 | +class Solution { |
| 206 | +public: |
| 207 | + vector<TreeNode*> delNodes(TreeNode* root, vector<int>& to_delete) { |
| 208 | + vector<TreeNode*> ans; |
| 209 | + unordered_set<int> s(to_delete.begin(), to_delete.end()); |
| 210 | + if (!s.count(root->val)) ans.push_back(root); |
| 211 | + dfs(nullptr, root, s, ans); |
| 212 | + return ans; |
| 213 | + } |
| 214 | + |
| 215 | + void dfs(TreeNode* fa, TreeNode* root, unordered_set<int>& s, vector<TreeNode*>& ans) { |
| 216 | + if (!root) return; |
| 217 | + dfs(root, root->left, s, ans); |
| 218 | + dfs(root, root->right, s, ans); |
| 219 | + if (s.count(root->val)) { |
| 220 | + if (fa && fa->left == root) fa->left = nullptr; |
| 221 | + if (fa && fa->right == root) fa->right = nullptr; |
| 222 | + if (root->left) ans.push_back(root->left); |
| 223 | + if (root->right) ans.push_back(root->right); |
| 224 | + } |
| 225 | + } |
| 226 | +}; |
| 227 | +``` |
| 228 | + |
| 229 | +### **Go** |
63 | 230 |
|
| 231 | +```go |
| 232 | +/** |
| 233 | + * Definition for a binary tree node. |
| 234 | + * type TreeNode struct { |
| 235 | + * Val int |
| 236 | + * Left *TreeNode |
| 237 | + * Right *TreeNode |
| 238 | + * } |
| 239 | + */ |
| 240 | +func delNodes(root *TreeNode, to_delete []int) []*TreeNode { |
| 241 | + s := map[int]bool{} |
| 242 | + for _, v := range to_delete { |
| 243 | + s[v] = true |
| 244 | + } |
| 245 | + ans := []*TreeNode{} |
| 246 | + if !s[root.Val] { |
| 247 | + ans = append(ans, root) |
| 248 | + } |
| 249 | + var fa *TreeNode |
| 250 | + var dfs func(fa, root *TreeNode) |
| 251 | + dfs = func(fa, root *TreeNode) { |
| 252 | + if root == nil { |
| 253 | + return |
| 254 | + } |
| 255 | + dfs(root, root.Left) |
| 256 | + dfs(root, root.Right) |
| 257 | + if s[root.Val] { |
| 258 | + if fa != nil && fa.Left == root { |
| 259 | + fa.Left = nil |
| 260 | + } |
| 261 | + if fa != nil && fa.Right == root { |
| 262 | + fa.Right = nil |
| 263 | + } |
| 264 | + if root.Left != nil { |
| 265 | + ans = append(ans, root.Left) |
| 266 | + } |
| 267 | + if root.Right != nil { |
| 268 | + ans = append(ans, root.Right) |
| 269 | + } |
| 270 | + } |
| 271 | + } |
| 272 | + dfs(fa, root) |
| 273 | + return ans |
| 274 | +} |
64 | 275 | ```
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65 | 276 |
|
66 | 277 | ### **...**
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