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Merge pull request #544 from KelvinG-611/0106.从中序与后序遍历序列构造二叉树
Update 0106.从中序与后序遍历序列构造二叉树.md
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@ -654,42 +654,67 @@ class Solution {
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```
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Python:
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105.从前序与中序遍历序列构造二叉树
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```python
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# Definition for a binary tree node.
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# class TreeNode:
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# def __init__(self, val=0, left=None, right=None):
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# self.val = val
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# self.left = left
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# self.right = right
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//递归法
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class Solution:
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def buildTree(self, preorder: List[int], inorder: List[int]) -> TreeNode:
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if not preorder: return None //特殊情况
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root = TreeNode(preorder[0]) //新建父节点
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p=inorder.index(preorder[0]) //找到父节点在中序遍历的位置(因为没有重复的元素,才可以这样找)
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root.left = self.buildTree(preorder[1:p+1],inorder[:p]) //注意左节点时分割中序数组和前续数组的开闭环
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root.right = self.buildTree(preorder[p+1:],inorder[p+1:]) //分割中序数组和前续数组
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# 第一步: 特殊情况讨论: 树为空. 或者说是递归终止条件
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if not preorder:
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return None
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# 第二步: 前序遍历的第一个就是当前的中间节点.
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root_val = preorder[0]
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root = TreeNode(root_val)
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# 第三步: 找切割点.
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separator_idx = inorder.index(root_val)
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# 第四步: 切割inorder数组. 得到inorder数组的左,右半边.
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inorder_left = inorder[:separator_idx]
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inorder_right = inorder[separator_idx + 1:]
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# 第五步: 切割preorder数组. 得到preorder数组的左,右半边.
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# ⭐️ 重点1: 中序数组大小一定跟前序数组大小是相同的.
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preorder_left = preorder[1:1 + len(inorder_left)]
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preorder_right = preorder[1 + len(inorder_left):]
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# 第六步: 递归
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root.left = self.buildTree(preorder_left, inorder_left)
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root.right = self.buildTree(preorder_right, inorder_right)
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return root
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```
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106.从中序与后序遍历序列构造二叉树
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```python
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# Definition for a binary tree node.
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# class TreeNode:
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# def __init__(self, val=0, left=None, right=None):
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# self.val = val
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# self.left = left
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# self.right = right
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//递归法
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class Solution:
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def buildTree(self, inorder: List[int], postorder: List[int]) -> TreeNode:
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if not postorder: return None //特殊情况
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root = TreeNode(postorder[-1]) //新建父节点
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p=inorder.index(postorder[-1]) //找到父节点在中序遍历的位置*因为没有重复的元素,才可以这样找
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root.left = self.buildTree(inorder[:p],postorder[:p]) //分割中序数组和后续数组
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root.right = self.buildTree(inorder[p+1:],postorder[p:-1]) //注意右节点时分割中序数组和后续数组的开闭环
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# 第一步: 特殊情况讨论: 树为空. (递归终止条件)
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if not postorder:
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return None
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# 第二步: 后序遍历的最后一个就是当前的中间节点.
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root_val = postorder[-1]
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root = TreeNode(root_val)
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# 第三步: 找切割点.
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separator_idx = inorder.index(root_val)
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# 第四步: 切割inorder数组. 得到inorder数组的左,右半边.
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inorder_left = inorder[:separator_idx]
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inorder_right = inorder[separator_idx + 1:]
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# 第五步: 切割postorder数组. 得到postorder数组的左,右半边.
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# ⭐️ 重点1: 中序数组大小一定跟后序数组大小是相同的.
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postorder_left = postorder[:len(inorder_left)]
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postorder_right = postorder[len(inorder_left): len(postorder) - 1]
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# 第六步: 递归
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root.left = self.buildTree(inorder_left, postorder_left)
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root.right = self.buildTree(inorder_right, postorder_right)
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return root
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```
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Go:
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