Python/matrix/median_matrix.py

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"""
https://en.wikipedia.org/wiki/Median
"""
def median(matrix: list[list[int]]) -> int:
"""
Calculate the median of a sorted matrix.
Args:
matrix: A 2D matrix of integers.
Returns:
The median value of the matrix.
Examples:
>>> matrix = [[1, 3, 5], [2, 6, 9], [3, 6, 9]]
>>> median(matrix)
5
>>> matrix = [[1, 2, 3], [4, 5, 6]]
>>> median(matrix)
3
"""
# Flatten the matrix into a sorted 1D list
linear = sorted(num for row in matrix for num in row)
# Calculate the middle index
mid = (len(linear) - 1) // 2
# Return the median
return linear[mid]
if __name__ == "__main__":
import doctest
doctest.testmod()