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binary_search_traversals.py made memory-friendly using generators. Fixes #8725 completely. #9237

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Oct 1, 2023
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57 changes: 23 additions & 34 deletions data_structures/binary_tree/binary_tree_traversals.py
Original file line number Diff line number Diff line change
@@ -1,9 +1,8 @@
from __future__ import annotations

from collections import deque
from collections.abc import Generator, Sequence
from collections.abc import Generator
from dataclasses import dataclass
from typing import Any


# https://en.wikipedia.org/wiki/Tree_traversal
Expand Down Expand Up @@ -94,96 +93,86 @@ def height(root: Node | None) -> int:
return (max(height(root.left), height(root.right)) + 1) if root else 0


def level_order(root: Node | None) -> Sequence[Node | None]:
def level_order(root: Node | None) -> Generator[int, None, None]:
"""
Returns a list of nodes value from a whole binary tree in Level Order Traverse.
Level Order traverse: Visit nodes of the tree level-by-level.
"""
output: list[Any] = []

if root is None:
return output
return

process_queue = deque([root])

while process_queue:
node = process_queue.popleft()
output.append(node.data)
yield node.data

if node.left:
process_queue.append(node.left)
if node.right:
process_queue.append(node.right)
return output


def get_nodes_from_left_to_right(
root: Node | None, level: int
) -> Sequence[Node | None]:
) -> Generator[int, None, None]:
"""
Returns a list of nodes value from a particular level:
Left to right direction of the binary tree.
"""
output: list[Any] = []

def populate_output(root: Node | None, level: int) -> None:
def populate_output(root: Node | None, level: int) -> Generator[int, None, None]:
if not root:
return
if level == 1:
output.append(root.data)
yield root.data
elif level > 1:
populate_output(root.left, level - 1)
populate_output(root.right, level - 1)
yield from populate_output(root.left, level - 1)
yield from populate_output(root.right, level - 1)

populate_output(root, level)
return output
yield from populate_output(root, level)


def get_nodes_from_right_to_left(
root: Node | None, level: int
) -> Sequence[Node | None]:
) -> Generator[int, None, None]:
"""
Returns a list of nodes value from a particular level:
Right to left direction of the binary tree.
"""
output: list[Any] = []

def populate_output(root: Node | None, level: int) -> None:
def populate_output(root: Node | None, level: int) -> Generator[int, None, None]:
if root is None:
return
if level == 1:
output.append(root.data)
yield root.data
elif level > 1:
populate_output(root.right, level - 1)
populate_output(root.left, level - 1)
yield from populate_output(root.right, level - 1)
yield from populate_output(root.left, level - 1)

populate_output(root, level)
return output
yield from populate_output(root, level)


def zigzag(root: Node | None) -> Sequence[Node | None] | list[Any]:
def zigzag(root: Node | None) -> Generator[int, None, None]:
"""
ZigZag traverse:
Returns a list of nodes value from left to right and right to left, alternatively.
"""
if root is None:
return []

output: list[Sequence[Node | None]] = []
return

flag = 0
height_tree = height(root)

for h in range(1, height_tree + 1):
if not flag:
output.append(get_nodes_from_left_to_right(root, h))
yield from get_nodes_from_left_to_right(root, h)
flag = 1
else:
output.append(get_nodes_from_right_to_left(root, h))
yield from get_nodes_from_right_to_left(root, h)
flag = 0

return output


def main() -> None: # Main function for testing.
# Create binary tree.
Expand All @@ -198,15 +187,15 @@ def main() -> None: # Main function for testing.
print(f"Height of Tree: {height(root)}", "\n")

print("Complete Level Order Traversal: ")
print(level_order(root), "\n")
print(f"{list(level_order(root))} \n")

print("Level-wise order Traversal: ")

for level in range(1, height(root) + 1):
print(f"Level {level}:", get_nodes_from_left_to_right(root, level=level))
print(f"Level {level}:", list(get_nodes_from_left_to_right(root, level=level)))

print("\nZigZag order Traversal: ")
print(zigzag(root))
print(f"{list(zigzag(root))}")


if __name__ == "__main__":
Expand Down