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""" | ||
Tree_sort algorithm. | ||
Build a BST and in order traverse. | ||
Build a Binary Search Tree and then iterate thru it to get a sorted list. | ||
""" | ||
from __future__ import annotations | ||
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from collections.abc import Iterator | ||
from dataclasses import dataclass | ||
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@dataclass | ||
class Node: | ||
# BST data structure | ||
def __init__(self, val): | ||
self.val = val | ||
self.left = None | ||
self.right = None | ||
val: int | ||
left: Node | None = None | ||
right: Node | None = None | ||
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def insert(self, val): | ||
if self.val: | ||
if val < self.val: | ||
if self.left is None: | ||
self.left = Node(val) | ||
else: | ||
self.left.insert(val) | ||
elif val > self.val: | ||
if self.right is None: | ||
self.right = Node(val) | ||
else: | ||
self.right.insert(val) | ||
else: | ||
self.val = val | ||
def __iter__(self) -> Iterator[int]: | ||
if self.left: | ||
yield from self.left | ||
yield self.val | ||
if self.right: | ||
yield from self.right | ||
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def __len__(self) -> int: | ||
return sum(1 for _ in self) | ||
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def inorder(root, res): | ||
# Recursive traversal | ||
if root: | ||
inorder(root.left, res) | ||
res.append(root.val) | ||
inorder(root.right, res) | ||
def insert(self, val: int) -> None: | ||
if val < self.val: | ||
if self.left is None: | ||
self.left = Node(val) | ||
else: | ||
self.left.insert(val) | ||
elif val > self.val: | ||
if self.right is None: | ||
self.right = Node(val) | ||
else: | ||
self.right.insert(val) | ||
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def tree_sort(arr): | ||
def tree_sort(arr: list[int]) -> tuple[int, ...]: | ||
""" | ||
>>> tree_sort([]) | ||
() | ||
>>> tree_sort((1,)) | ||
(1,) | ||
>>> tree_sort((1, 2)) | ||
(1, 2) | ||
>>> tree_sort([5, 2, 7]) | ||
[2, 5, 7] | ||
>>> tree_sort([5, -4, 9, 2, 7]) | ||
[-4, 2, 5, 7, 9] | ||
(2, 5, 7) | ||
>>> tree_sort((5, -4, 9, 2, 7)) | ||
(-4, 2, 5, 7, 9) | ||
>>> tree_sort([5, 6, 1, -1, 4, 37, 2, 7]) | ||
[-1, 1, 2, 4, 5, 6, 7, 37] | ||
(-1, 1, 2, 4, 5, 6, 7, 37) | ||
>>> tree_sort(range(10, -10, -1)) == tuple(sorted(range(10, -10, -1))) | ||
True | ||
""" | ||
# Build BST | ||
if len(arr) == 0: | ||
return arr | ||
return tuple(arr) | ||
root = Node(arr[0]) | ||
for i in range(1, len(arr)): | ||
root.insert(arr[i]) | ||
# Traverse BST in order. | ||
res = [] | ||
inorder(root, res) | ||
return res | ||
for item in arr[1:]: | ||
root.insert(item) | ||
return tuple(root) | ||
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if __name__ == "__main__": | ||
import doctest | ||
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doctest.testmod() | ||
print(f"{tree_sort([5, 6, 1, -1, 4, 37, -3, 7]) = }") |