Update and rename BinarySearch_on_Sorted_2D_Array.py to binarysearch_on_sorted_2d_array.py

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Hariharan 2024-10-15 20:03:04 +05:30 committed by GitHub
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@ -1,3 +1,6 @@
#!/usr/bin/env python3
def binary_search_2d(matrix: list[list[int]], target: int) -> tuple[int, int]:
"""
Searches for a target value in a 2D sorted array.
@ -5,20 +8,39 @@ def binary_search_2d(matrix: list[list[int]], target: int) -> tuple[int, int]:
The matrix is sorted such that each row is in ascending order, and the
first element of each row is greater than the last element of the previous row.
:param matrix: A 2D list of integers sorted in ascending order.
:param target: The integer value to search for.
:return: A tuple (row_index, col_index) if found, otherwise (-1, -1).
Args:
matrix: A 2D list of integers sorted in ascending order.
target: The integer value to search for.
Returns:
A tuple (row_index, col_index) if found, otherwise (-1, -1).
Raises:
ValueError: If matrix is empty or not rectangular.
Examples:
>>> binary_search_2d([[1, 3, 5], [7, 9, 11], [12, 13, 15]], 9)
(1, 1)
>>> binary_search_2d([[1, 3, 5], [7, 9, 11], [12, 13, 15]], 4)
(-1, -1)
>>> binary_search_2d([], 1) # doctest: +ELLIPSIS
Traceback (most recent call last):
...
ValueError: matrix must not be empty
>>> binary_search_2d([[1, 2], [3, 4, 5]], 3) # doctest: +ELLIPSIS
Traceback (most recent call last):
...
ValueError: matrix must be rectangular
"""
if not matrix or not matrix[0]:
return -1, -1
raise ValueError("matrix must not be empty")
rows = len(matrix)
cols = len(matrix[0])
for row in matrix:
if len(row) != cols:
raise ValueError("matrix must be rectangular")
rows, cols = len(matrix), len(matrix[0])
left, right = 0, rows * cols - 1
while left <= right: