hello-algo/en/codes/python/chapter_divide_and_conquer/build_tree.py
Yudong Jin 1c0f350ad6
translation: Add Python and Java code for EN version (#1345)
* Add the intial translation of code of all the languages

* test

* revert

* Remove

* Add Python and Java code for EN version
2024-05-06 05:21:51 +08:00

54 lines
1.4 KiB
Python

"""
File: build_tree.py
Created Time: 2023-07-15
Author: krahets (krahets@163.com)
"""
import sys
from pathlib import Path
sys.path.append(str(Path(__file__).parent.parent))
from modules import TreeNode, print_tree
def dfs(
preorder: list[int],
inorder_map: dict[int, int],
i: int,
l: int,
r: int,
) -> TreeNode | None:
"""Build binary tree: Divide and conquer"""
# Terminate when subtree interval is empty
if r - l < 0:
return None
# Initialize root node
root = TreeNode(preorder[i])
# Query m to divide left and right subtrees
m = inorder_map[preorder[i]]
# Subproblem: build left subtree
root.left = dfs(preorder, inorder_map, i + 1, l, m - 1)
# Subproblem: build right subtree
root.right = dfs(preorder, inorder_map, i + 1 + m - l, m + 1, r)
# Return root node
return root
def build_tree(preorder: list[int], inorder: list[int]) -> TreeNode | None:
"""Build binary tree"""
# Initialize hash table, storing in-order elements to indices mapping
inorder_map = {val: i for i, val in enumerate(inorder)}
root = dfs(preorder, inorder_map, 0, 0, len(inorder) - 1)
return root
"""Driver Code"""
if __name__ == "__main__":
preorder = [3, 9, 2, 1, 7]
inorder = [9, 3, 1, 2, 7]
print(f"Pre-order traversal = {preorder}")
print(f"In-order traversal = {inorder}")
root = build_tree(preorder, inorder)
print("The built binary tree is:")
print_tree(root)