Given two integer arrays preorder
and inorder
where preorder
is the preorder traversal of a binary tree and inorder
is the inorder traversal of the same tree, construct and return the binary tree.
Example 1:
Input: preorder = [3,9,20,15,7], inorder = [9,3,15,20,7]
Output: [3,9,20,null,null,15,7]
Example 2:
Input: preorder = [-1], inorder = [-1]
Output: [-1]
Constraints:
-
1 <= preorder.length <= 3000
-
inorder.length == preorder.length
-
-3000 <= preorder[i], inorder[i] <= 3000
-
preorder
andinorder
consist of unique values. - Each value of
inorder
also appears inpreorder
. -
preorder
is guaranteed to be the preorder traversal of the tree. -
inorder
is guaranteed to be the inorder traversal of the tree.
SOLUTION:
# 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 getRoot(self, p, q):
return min((i for i in range(p, q)), key = lambda x: self.valIndex[self.inorder[x]])
def buildTreeRec(self, p, q):
if p < q:
root = TreeNode()
currRoot = self.getRoot(p, q)
root.val = self.inorder[currRoot]
if currRoot > p:
root.left = self.buildTreeRec(p, currRoot)
if currRoot < q - 1:
root.right = self.buildTreeRec(currRoot + 1, q)
return root
def buildTree(self, preorder: List[int], inorder: List[int]) -> Optional[TreeNode]:
n = len(inorder)
self.inorder = inorder
self.valIndex = {}
for i, item in enumerate(preorder):
self.valIndex[item] = i
return self.buildTreeRec(0, n)
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