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53 | 53 |
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54 | 54 | <!-- 这里可写通用的实现逻辑 -->
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55 | 55 |
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| 56 | +**方法一:递归** |
| 57 | + |
| 58 | +我们设计一个函数 $dfs(root)$,该函数返回以 $root$ 为根节点的子树的所有节点值之和。函数 $dfs(root)$ 的执行过程如下: |
| 59 | + |
| 60 | +- 如果 $root$ 为空,返回 $0$; |
| 61 | +- 否则,我们递归地计算 $root$ 的左子树和右子树的节点值之和,记为 $l$ 和 $r$;如果 $l + r = root.val$,说明以 $root$ 为根节点的子树满足条件,我们将答案加 $1$;最后,返回 $root.val + l + r$。 |
| 62 | + |
| 63 | +然后我们调用函数 $dfs(root)$,返回答案即可。 |
| 64 | + |
| 65 | +时间复杂度 $O(n)$,空间复杂度 $O(n)$。其中 $n$ 是二叉树的节点数。 |
| 66 | + |
56 | 67 | <!-- tabs:start -->
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57 | 68 |
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58 | 69 | ### **Python3**
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59 | 70 |
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60 | 71 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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61 | 72 |
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62 | 73 | ```python
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63 |
| - |
| 74 | +# Definition for a binary tree node. |
| 75 | +# class TreeNode: |
| 76 | +# def __init__(self, val=0, left=None, right=None): |
| 77 | +# self.val = val |
| 78 | +# self.left = left |
| 79 | +# self.right = right |
| 80 | +class Solution: |
| 81 | + def equalToDescendants(self, root: Optional[TreeNode]) -> int: |
| 82 | + def dfs(root): |
| 83 | + if root is None: |
| 84 | + return 0 |
| 85 | + l, r = dfs(root.left), dfs(root.right) |
| 86 | + if l + r == root.val: |
| 87 | + nonlocal ans |
| 88 | + ans += 1 |
| 89 | + return root.val + l + r |
| 90 | + |
| 91 | + ans = 0 |
| 92 | + dfs(root) |
| 93 | + return ans |
64 | 94 | ```
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65 | 95 |
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66 | 96 | ### **Java**
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67 | 97 |
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68 | 98 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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69 | 99 |
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70 | 100 | ```java
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| 101 | +/** |
| 102 | + * Definition for a binary tree node. |
| 103 | + * public class TreeNode { |
| 104 | + * int val; |
| 105 | + * TreeNode left; |
| 106 | + * TreeNode right; |
| 107 | + * TreeNode() {} |
| 108 | + * TreeNode(int val) { this.val = val; } |
| 109 | + * TreeNode(int val, TreeNode left, TreeNode right) { |
| 110 | + * this.val = val; |
| 111 | + * this.left = left; |
| 112 | + * this.right = right; |
| 113 | + * } |
| 114 | + * } |
| 115 | + */ |
| 116 | +class Solution { |
| 117 | + private int ans; |
| 118 | + |
| 119 | + public int equalToDescendants(TreeNode root) { |
| 120 | + dfs(root); |
| 121 | + return ans; |
| 122 | + } |
| 123 | + |
| 124 | + private int dfs(TreeNode root) { |
| 125 | + if (root == null) { |
| 126 | + return 0; |
| 127 | + } |
| 128 | + int l = dfs(root.left); |
| 129 | + int r = dfs(root.right); |
| 130 | + if (l + r == root.val) { |
| 131 | + ++ans; |
| 132 | + } |
| 133 | + return root.val + l + r; |
| 134 | + } |
| 135 | +} |
| 136 | +``` |
| 137 | + |
| 138 | +### **C++** |
| 139 | + |
| 140 | +```cpp |
| 141 | +/** |
| 142 | + * Definition for a binary tree node. |
| 143 | + * struct TreeNode { |
| 144 | + * int val; |
| 145 | + * TreeNode *left; |
| 146 | + * TreeNode *right; |
| 147 | + * TreeNode() : val(0), left(nullptr), right(nullptr) {} |
| 148 | + * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {} |
| 149 | + * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {} |
| 150 | + * }; |
| 151 | + */ |
| 152 | +class Solution { |
| 153 | +public: |
| 154 | + int equalToDescendants(TreeNode* root) { |
| 155 | + int ans = 0; |
| 156 | + function<long long(TreeNode*)> dfs = [&](TreeNode* root) -> long long { |
| 157 | + if (!root) { |
| 158 | + return 0; |
| 159 | + } |
| 160 | + auto l = dfs(root->left); |
| 161 | + auto r = dfs(root->right); |
| 162 | + ans += l + r == root->val; |
| 163 | + return root->val + l + r; |
| 164 | + }; |
| 165 | + dfs(root); |
| 166 | + return ans; |
| 167 | + } |
| 168 | +}; |
| 169 | +``` |
71 | 170 |
|
| 171 | +### **Go** |
| 172 | +
|
| 173 | +```go |
| 174 | +/** |
| 175 | + * Definition for a binary tree node. |
| 176 | + * type TreeNode struct { |
| 177 | + * Val int |
| 178 | + * Left *TreeNode |
| 179 | + * Right *TreeNode |
| 180 | + * } |
| 181 | + */ |
| 182 | +func equalToDescendants(root *TreeNode) (ans int) { |
| 183 | + var dfs func(*TreeNode) int |
| 184 | + dfs = func(root *TreeNode) int { |
| 185 | + if root == nil { |
| 186 | + return 0 |
| 187 | + } |
| 188 | + l, r := dfs(root.Left), dfs(root.Right) |
| 189 | + if l+r == root.Val { |
| 190 | + ans++ |
| 191 | + } |
| 192 | + return root.Val + l + r |
| 193 | + } |
| 194 | + dfs(root) |
| 195 | + return |
| 196 | +} |
72 | 197 | ```
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73 | 198 |
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74 | 199 | ### **...**
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