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38 changes: 38 additions & 0 deletions matrix/median_matrix.py
Original file line number Diff line number Diff line change
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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()