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35 | 35 |
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36 | 36 | <!-- 这里可写通用的实现逻辑 -->
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37 | 37 |
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| 38 | +根据二叉搜索树的性质,DFS 构建即可。 |
| 39 | + |
38 | 40 | <!-- tabs:start -->
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39 | 41 |
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40 | 42 | ### **Python3**
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41 | 43 |
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42 | 44 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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43 | 45 |
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44 | 46 | ```python
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45 |
| - |
| 47 | +# Definition for a binary tree node. |
| 48 | +# class TreeNode: |
| 49 | +# def __init__(self, val=0, left=None, right=None): |
| 50 | +# self.val = val |
| 51 | +# self.left = left |
| 52 | +# self.right = right |
| 53 | +class Solution: |
| 54 | + def bstFromPreorder(self, preorder: List[int]) -> Optional[TreeNode]: |
| 55 | + def dfs(preorder): |
| 56 | + if not preorder: |
| 57 | + return None |
| 58 | + root = TreeNode(preorder[0]) |
| 59 | + left, right = 1, len(preorder) |
| 60 | + while left < right: |
| 61 | + mid = (left + right) >> 1 |
| 62 | + if preorder[mid] > preorder[0]: |
| 63 | + right = mid |
| 64 | + else: |
| 65 | + left = mid + 1 |
| 66 | + root.left = dfs(preorder[1:left]) |
| 67 | + root.right = dfs(preorder[left:]) |
| 68 | + return root |
| 69 | + |
| 70 | + return dfs(preorder) |
46 | 71 | ```
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47 | 72 |
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48 | 73 | ### **Java**
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49 | 74 |
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50 | 75 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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51 | 76 |
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52 | 77 | ```java
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| 78 | +/** |
| 79 | + * Definition for a binary tree node. |
| 80 | + * public class TreeNode { |
| 81 | + * int val; |
| 82 | + * TreeNode left; |
| 83 | + * TreeNode right; |
| 84 | + * TreeNode() {} |
| 85 | + * TreeNode(int val) { this.val = val; } |
| 86 | + * TreeNode(int val, TreeNode left, TreeNode right) { |
| 87 | + * this.val = val; |
| 88 | + * this.left = left; |
| 89 | + * this.right = right; |
| 90 | + * } |
| 91 | + * } |
| 92 | + */ |
| 93 | +class Solution { |
| 94 | + |
| 95 | + public TreeNode bstFromPreorder(int[] preorder) { |
| 96 | + return dfs(preorder, 0, preorder.length - 1); |
| 97 | + } |
| 98 | + |
| 99 | + private TreeNode dfs(int[] preorder, int i, int j) { |
| 100 | + if (i > j || i >= preorder.length) { |
| 101 | + return null; |
| 102 | + } |
| 103 | + TreeNode root = new TreeNode(preorder[i]); |
| 104 | + int left = i + 1, right = j + 1; |
| 105 | + while (left < right) { |
| 106 | + int mid = (left + right) >> 1; |
| 107 | + if (preorder[mid] > preorder[i]) { |
| 108 | + right = mid; |
| 109 | + } else { |
| 110 | + left = mid + 1; |
| 111 | + } |
| 112 | + } |
| 113 | + root.left = dfs(preorder, i + 1, left - 1); |
| 114 | + root.right = dfs(preorder, left, j); |
| 115 | + return root; |
| 116 | + } |
| 117 | +} |
| 118 | + |
| 119 | +``` |
53 | 120 |
|
| 121 | +### **C++** |
| 122 | + |
| 123 | +```cpp |
| 124 | +/** |
| 125 | + * Definition for a binary tree node. |
| 126 | + * struct TreeNode { |
| 127 | + * int val; |
| 128 | + * TreeNode *left; |
| 129 | + * TreeNode *right; |
| 130 | + * TreeNode() : val(0), left(nullptr), right(nullptr) {} |
| 131 | + * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {} |
| 132 | + * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {} |
| 133 | + * }; |
| 134 | + */ |
| 135 | +class Solution { |
| 136 | +public: |
| 137 | + TreeNode* bstFromPreorder(vector<int>& preorder) { |
| 138 | + return dfs(preorder, 0, preorder.size() - 1); |
| 139 | + } |
| 140 | + |
| 141 | + TreeNode* dfs(vector<int>& preorder, int i, int j) { |
| 142 | + if (i > j || i >= preorder.size()) return nullptr; |
| 143 | + TreeNode* root = new TreeNode(preorder[i]); |
| 144 | + int left = i + 1, right = j + 1; |
| 145 | + while (left < right) |
| 146 | + { |
| 147 | + int mid = (left + right) >> 1; |
| 148 | + if (preorder[mid] > preorder[i]) right = mid; |
| 149 | + else left = mid + 1; |
| 150 | + } |
| 151 | + root->left = dfs(preorder, i + 1, left - 1); |
| 152 | + root->right = dfs(preorder, left, j); |
| 153 | + return root; |
| 154 | + } |
| 155 | +}; |
| 156 | +``` |
| 157 | + |
| 158 | +### **Go** |
| 159 | + |
| 160 | +```go |
| 161 | +/** |
| 162 | + * Definition for a binary tree node. |
| 163 | + * type TreeNode struct { |
| 164 | + * Val int |
| 165 | + * Left *TreeNode |
| 166 | + * Right *TreeNode |
| 167 | + * } |
| 168 | + */ |
| 169 | +func bstFromPreorder(preorder []int) *TreeNode { |
| 170 | + var dfs func(i, j int) *TreeNode |
| 171 | + dfs = func(i, j int) *TreeNode { |
| 172 | + if i > j || i >= len(preorder) { |
| 173 | + return nil |
| 174 | + } |
| 175 | + root := &TreeNode{Val: preorder[i]} |
| 176 | + left, right := i+1, len(preorder) |
| 177 | + for left < right { |
| 178 | + mid := (left + right) >> 1 |
| 179 | + if preorder[mid] > preorder[i] { |
| 180 | + right = mid |
| 181 | + } else { |
| 182 | + left = mid + 1 |
| 183 | + } |
| 184 | + } |
| 185 | + root.Left = dfs(i+1, left-1) |
| 186 | + root.Right = dfs(left, j) |
| 187 | + return root |
| 188 | + } |
| 189 | + return dfs(0, len(preorder)-1) |
| 190 | +} |
54 | 191 | ```
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55 | 192 |
|
56 | 193 | ### **...**
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|
60 | 197 | ```
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61 | 198 |
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62 | 199 | <!-- tabs:end -->
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63 |
| -<!-- tabs:end --> |
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