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Update 0108.将有序数组转换为二叉搜索树.md
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补充python注释
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casnz1601 committed Oct 10, 2021
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42 changes: 31 additions & 11 deletions problems/0108.将有序数组转换为二叉搜索树.md
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Expand Up @@ -304,22 +304,42 @@ class Solution {
}
```

## Python
## Python
**递归**

递归法:
```python3
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, val=0, left=None, right=None):
# self.val = val
# self.left = left
# self.right = right
class Solution:
def sortedArrayToBST(self, nums: List[int]) -> TreeNode:
def buildaTree(left,right):
if left > right: return None #左闭右闭的区间,当区间 left > right的时候,就是空节点,当left = right的时候,不为空
mid = left + (right - left) // 2 #保证数据不会越界
val = nums[mid]
root = TreeNode(val)
root.left = buildaTree(left,mid - 1)
root.right = buildaTree(mid + 1,right)
return root
root = buildaTree(0,len(nums) - 1) #左闭右闭区间
'''
构造二叉树:重点是选取数组最中间元素为分割点,左侧是递归左区间;右侧是递归右区间
必然是平衡树
左闭右闭区间
'''
# 返回根节点
root = self.traversal(nums, 0, len(nums)-1)
return root

def traversal(self, nums: List[int], left: int, right: int) -> TreeNode:
# Base Case
if left > right:
return None

# 确定左右界的中心,防越界
mid = left + (right - left) // 2
# 构建根节点
mid_root = TreeNode(nums[mid])
# 构建以左右界的中心为分割点的左右子树
mid_root.left = self.traversal(nums, left, mid-1)
mid_root.right = self.traversal(nums, mid+1, right)

# 返回由被传入的左右界定义的某子树的根节点
return mid_root
```

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