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61 changes: 61 additions & 0 deletions data_structures/arrays/median_of_two_sorted_arrays.py
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"""
https://www.enjoyalgorithms.com/blog/median-of-two-sorted-arrays
"""


def find_median_sorted_arrays(nums1: list[int], nums2: list[int]) -> float:
"""
Find the median of two arrays.

Args:
nums1: The first array.
nums2: The second array.

Returns:
The median of the two arrays.

Examples:
>>> find_median_sorted_arrays([1, 3], [2])
2.0

>>> find_median_sorted_arrays([1, 2], [3, 4])
2.5

>>> find_median_sorted_arrays([0, 0], [0, 0])
0.0

>>> find_median_sorted_arrays([], [])
Traceback (most recent call last):
...
ValueError: Both input arrays are empty.

>>> find_median_sorted_arrays([], [1])
1.0

>>> find_median_sorted_arrays([-1000], [1000])
0.0

>>> find_median_sorted_arrays([-1.1, -2.2], [-3.3, -4.4])
-2.75
"""
if not nums1 and not nums2:
raise ValueError("Both input arrays are empty.")

# Merge the arrays into a single sorted array.
merged = sorted(nums1 + nums2)
total = len(merged)

if total % 2 == 1: # If the total number of elements is odd
return float(merged[total // 2]) # then return the middle element

# If the total number of elements is even, calculate
# the average of the two middle elements as the median.
middle1 = merged[total // 2 - 1]
middle2 = merged[total // 2]
return (float(middle1) + float(middle2)) / 2.0


if __name__ == "__main__":
import doctest

doctest.testmod()
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"""
https://www.enjoyalgorithms.com/blog/median-of-two-sorted-arrays
"""

def find_median_sorted_arrays(nums1: list[int], nums2: list[int]) -> float:
"""
Find the median of two arrays.

Args:
nums1: The first array.
nums2: The second array.

Returns:
The median of the two arrays.

Examples:
>>> find_median_sorted_arrays([1, 3], [2])
2.0

>>> find_median_sorted_arrays([1, 2], [3, 4])
2.5

>>> find_median_sorted_arrays([0, 0], [0, 0])
0.0

>>> find_median_sorted_arrays([], [])
Traceback (most recent call last):
...
ValueError: Both input arrays are empty.

>>> find_median_sorted_arrays([], [1])
1.0

>>> find_median_sorted_arrays([-1000], [1000])
0.0

>>> find_median_sorted_arrays([-1.1, -2.2], [-3.3, -4.4])
-2.75
"""
if not nums1 and not nums2:
raise ValueError("Both input arrays are empty.")

# Merge the arrays into a single sorted array.
merged = sorted(nums1 + nums2)
total = len(merged)

if total % 2 == 1: # If the total number of elements is odd
return float(merged[total // 2]) # then return the middle element

# If the total number of elements is even, calculate
# the average of the two middle elements as the median.
middle1 = merged[total // 2 - 1]
middle2 = merged[total // 2]
return (float(middle1) + float(middle2)) / 2.0


if __name__ == "__main__":
import doctest
doctest.testmod()
58 changes: 58 additions & 0 deletions data_structures/linked_list/reverse_linked_list.py
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"""
https://www.enjoyalgorithms.com/blog/reverse-linked-list
"""


class ListNode:
"""Definition for singly-linked list."""

def __init__(self, val=0, next=None):

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Please provide return type hint for the function: __init__. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: val

Please provide type hint for the parameter: next

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Please provide return type hint for the function: __init__. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: val

Please provide type hint for the parameter: next

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self.val = val
self.next = next


def reverse_linked_list(head: ListNode) -> ListNode:
"""
Reverse a singly linked list.

Args:
head: The head node of the linked list.

Returns:
The new head node of the reversed linked list.

Examples:
>>> a = ListNode(1)
>>> b = ListNode(2)
>>> c = ListNode(3)
>>> a.next, b.next = b, c
>>> head = reverse_linked_list(a)
>>> [head.val, head.next.val, head.next.next.val]
[3, 2, 1]
"""
prev = None
current = head
while current:
nxt = current.next
current.next = prev
prev = current
current = nxt
return prev


if __name__ == "__main__":
import doctest

doctest.testmod()

# Example execution
a = ListNode(1)
b = ListNode(2)
c = ListNode(3)
a.next, b.next = b, c

print("Original Linked List: 1 -> 2 -> 3")
new_head = reverse_linked_list(a)
print(
f"Reversed Linked List: {new_head.val} -> {new_head.next.val} -> {new_head.next.next.val}"

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