Add partition_linked_list algorithm with comprehensive doctests

Author: Aisha630

data_structures/linked_list/partition_linked_list.py

@@ -0,0 +1,104 @@
+"""
+Partitions a linked list around a value x such that all nodes less than x come before
+nodes greater than or equal to x. The original relative order of the nodes in each
+partition should be preserved. The partition value x can appear anywhere in the "right
+partition" and it does not need to appear between the left and right partitions.
+"""
+
+from __future__ import annotations
+
+from dataclasses import dataclass
+
+
+@dataclass
+class ListNode:
+    value: int = 0
+    next_node: ListNode | None = None
+
+
+def create_linked_list(values: list[int]) -> ListNode | None:
+    """Helper function to create a linked list from a list of values."""
+    if not values:
+        return None
+    head = ListNode(values[0])
+    current = head
+    for value in values[1:]:
+        current.next_node = ListNode(value)
+        current = current.next_node
+    return head
+
+
+def linked_list_to_list(head: ListNode | None) -> list[int]:
+    """Helper function to convert a linked list to a list of values."""
+    values = []
+    current = head
+    while current:
+        values.append(current.value)
+        current = current.next_node
+    return values
+
+
+def partition_linked_list(head: ListNode | None, x: int) -> ListNode | None:
+    """
+    Args:
+        head: The head of the linked list.
+        x: The partition value.
+
+    Returns:
+        The head of the partitioned linked list.
+
+    Examples:
+    >>> linked_list_to_list(
+    ...     partition_linked_list(create_linked_list([1, 4, 3, 2, 5, 2]), 3)
+    ... )
+    [1, 2, 2, 4, 3, 5]
+    >>> linked_list_to_list(
+    ...     partition_linked_list(create_linked_list([1, 2, 3]), 10)
+    ... )
+    [1, 2, 3]
+    >>> linked_list_to_list(
+    ...     partition_linked_list(create_linked_list([5, 6, 7]), 3)
+    ... )
+    [5, 6, 7]
+    >>> linked_list_to_list(
+    ...     partition_linked_list(create_linked_list([3, 5, 8, 5, 10, 2, 1]), 5)
+    ... )
+    [3, 2, 1, 5, 8, 5, 10]
+    >>> linked_list_to_list(
+    ...     partition_linked_list(create_linked_list([1]), 5)
+    ... )
+    [1]
+    >>> linked_list_to_list(partition_linked_list(None, 5))
+    []
+    """
+    if head is None:
+        return None
+
+    if head.next_node is None:
+        return head
+
+    left_head = ListNode(0)  # Dummy head for the left partition
+    right_head = ListNode(0)  # Dummy head for the right partition
+    left = left_head
+    right = right_head
+
+    current: ListNode | None = head
+    while current:
+        if current.value < x:
+            left.next_node = current
+            left = current
+        else:
+            right.next_node = current
+            right = current
+        current = current.next_node
+
+    right.next_node = None  # Terminate the right partition
+    left.next_node = right_head.next_node  # Connect the two partitions
+
+    return left_head.next_node  # Return the head of the new partitioned list
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()