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add median of two sorted array #9386

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Merged
merged 12 commits into from
Oct 4, 2023
48 changes: 48 additions & 0 deletions data_structures/arrays/median_two_array.py
Original file line number Diff line number Diff line change
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class Solution:
def find_median_sorted_arrays(self, nums1: list[int], nums2: list[int]) -> float:
"""
Find the median of two sorted arrays.

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

Returns:
The median of the two sorted arrays.

Example:
>>> sol = Solution()
>>> sol.find_median_sorted_arrays([1, 3], [2])
2.0

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

>>> sol.find_median_sorted_arrays([0, 0], [0, 0])
0.0
"""
# Merge the arrays into a single sorted array.
merged = nums1 + nums2

# Sort the merged array.
merged.sort()

# Calculate the total number of elements in the merged array.
total = len(merged)

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