






'''simple docstring'''




from __future__ import annotations

from typing import Any







class    A_	:
							"""simple docstring"""




							def __init__(		self			:Union[str, Any]       ,							lowerCAmelCase__			:int       ,							lowerCAmelCase__			:int       ,							lowerCAmelCase__			:float = 0				)				->  None:


										'''simple docstring'''




										snake_case_,	snake_case_				:					str   =       row, column
										snake_case_				:					Dict   =       [[default_value for c in range(lowerCAmelCase__				)] for r in range(lowerCAmelCase__				)]

							def __str__(		self			:Optional[Any]				)				->  str:


										'''simple docstring'''




										snake_case_				:					str   =       F'''Matrix consist of {self.row} rows and {self.column} columns\n'''

										# Make string identifier
										snake_case_				:					Any   =       0
										for row_vector in self.array:
													for obj in row_vector:
																snake_case_				:					Dict   =       max(lowerCAmelCase__       ,							len(str(lowerCAmelCase__				)				)				)
										snake_case_				:					str   =       F'''%{max_element_length}s'''

										# Make string and return
										def single_line(lowerCAmelCase__			:list[float]				) -> str:
													nonlocal string_format_identifier
													snake_case_				:					Tuple   =       "["
													line += ", ".join(string_format_identifier % (obj,) for obj in row_vector				)
													line += "]"
													return line

										s += "\n".join(single_line(lowerCAmelCase__				) for row_vector in self.array				)
										return s

							def __repr__(		self			:Tuple				)				->  str:


										'''simple docstring'''




										return str(self				)

							def 							_A	(		self			:List[Any]       ,							lowerCAmelCase__			:tuple[int, int]				)				->  bool:


										'''simple docstring'''




										if not (isinstance(lowerCAmelCase__       ,							(list, tuple)				) and len(lowerCAmelCase__				) == 2):
													return False
										elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
													return False
										else:
													return True

							def __getitem__(		self			:Optional[Any]       ,							lowerCAmelCase__			:tuple[int, int]				)				->  Any:


										'''simple docstring'''




										assert self.validate_indicies(lowerCAmelCase__				)
										return self.array[loc[0]][loc[1]]

							def __setitem__(		self			:Tuple       ,							lowerCAmelCase__			:tuple[int, int]       ,							lowerCAmelCase__			:float				)				->  None:


										'''simple docstring'''




										assert self.validate_indicies(lowerCAmelCase__				)
										snake_case_				:					Any   =       value

							def __add__(		self			:Dict       ,							lowerCAmelCase__			:Matrix				)				->  Matrix:


										'''simple docstring'''




										assert isinstance(lowerCAmelCase__       ,							lowerCAmelCase__				)
										assert self.row == another.row and self.column == another.column

										# Add
										snake_case_				:					str   =       Matrix(self.row       ,							self.column				)
										for r in range(self.row				):
													for c in range(self.column				):
																snake_case_				:					Optional[int]   =       self[r, c] + another[r, c]
										return result

							def __neg__(		self			:int				)				->  Matrix:


										'''simple docstring'''




										snake_case_				:					Union[str, Any]   =       Matrix(self.row       ,							self.column				)
										for r in range(self.row				):
													for c in range(self.column				):
																snake_case_				:					Any   =       -self[r, c]
										return result

							def __sub__(		self			:Dict       ,							lowerCAmelCase__			:Matrix				)				->  Matrix:


										'''simple docstring'''




										return self + (-another)

							def __mul__(		self			:Optional[int]       ,							lowerCAmelCase__			:int | float | Matrix				)				->  Matrix:


										'''simple docstring'''




										if isinstance(lowerCAmelCase__       ,							(int, float)				):  # Scalar multiplication
													snake_case_				:					List[Any]   =       Matrix(self.row       ,							self.column				)
													for r in range(self.row				):
																for c in range(self.column				):
																			snake_case_				:					Dict   =       self[r, c] * another
													return result
										elif isinstance(lowerCAmelCase__       ,							lowerCAmelCase__				):  # Matrix multiplication
													assert self.column == another.row
													snake_case_				:					Any   =       Matrix(self.row       ,							another.column				)
													for r in range(self.row				):
																for c in range(another.column				):
																			for i in range(self.column				):
																						result[r, c] += self[r, i] * another[i, c]
													return result
										else:
													snake_case_				:					List[Any]   =       F'''Unsupported type given for another ({type(lowerCAmelCase__				)})'''
													raise TypeError(lowerCAmelCase__				)

							def 							_A	(		self			:Optional[int]				)				->  Matrix:


										'''simple docstring'''




										snake_case_				:					str   =       Matrix(self.column       ,							self.row				)
										for r in range(self.row				):
													for c in range(self.column				):
																snake_case_				:					Union[str, Any]   =       self[r, c]
										return result






							def 							_A	(		self			:Dict       ,							lowerCAmelCase__			:Matrix       ,							lowerCAmelCase__			:Matrix				)				->  Any:


										'''simple docstring'''




										assert isinstance(lowerCAmelCase__       ,							lowerCAmelCase__				) and isinstance(lowerCAmelCase__       ,							lowerCAmelCase__				)
										assert self.row == self.column == u.row == v.row  # u, v should be column vector
										assert u.column == v.column == 1  # u, v should be column vector

										# Calculate
										snake_case_				:					Dict   =       v.transpose()
										snake_case_				:					int   =       (v_t * self * u)[0, 0] + 1
										if numerator_factor == 0:
													return None  # It's not invertable
										return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":

		def 	__UpperCAmelCase       ( )->    None:



					"""simple docstring"""



					snake_case_				:					Dict   =       Matrix(3     ,3     ,0						)
					for i in range(3						):
								snake_case_				:					Any   =       1
					print(F'''a^(-1) is {ainv}'''						)
					# u, v
					snake_case_				:					int   =       Matrix(3     ,1     ,0						)
					snake_case_,	snake_case_,	snake_case_				:					Optional[Any]   =       1, 2, -3
					snake_case_				:					Dict   =       Matrix(3     ,1     ,0						)
					snake_case_,	snake_case_,	snake_case_				:					Optional[Any]   =       4, -2, 5
					print(F'''u is {u}'''						)
					print(F'''v is {v}'''						)
					print(F'''uv^T is {u * v.transpose()}'''						)
					# Sherman Morrison
					print(F'''(a + uv^T)^(-1) is {ainv.sherman_morrison(__magic_name__     ,__magic_name__						)}'''						)

		def 	__UpperCAmelCase       ( )->    None:



					"""simple docstring"""



					import doctest

					doctest.testmod()






		testa()












'''simple docstring'''




from unittest import TestCase

from datasets import Dataset
from minhash_deduplication import deduplicate_dataset, make_duplicate_clusters

def 	__UpperCAmelCase       ( )->    int:



			"""simple docstring"""



			snake_case_				:					Any   =       {
			    "repo_name": ["test_repo1", "test_repo2", "test_repo3"],
			    "path": ["test_1.py", "test_2.py", "unit_test.py"],
			    "content": ["a " * 20, "a " * 30, "b " * 7],
			}
			snake_case_				:					int   =       Dataset.from_dict(__magic_name__						)
			return dataset







class    A_	(a_							):
							"""simple docstring"""




							def 							_A	(		self			:List[str]				)				->  str:


										'''simple docstring'''




										snake_case_				:					Union[str, Any]   =       get_dataset()
										snake_case_				:					Optional[int]   =       make_duplicate_clusters(lowerCAmelCase__       ,							0.8_5				)
										self.assertEqual(len(duplicate_clusters[0]				)       ,							2				)






							def 							_A	(		self			:Union[str, Any]				)				->  List[str]:


										'''simple docstring'''




										snake_case_				:					Optional[int]   =       get_dataset()
										snake_case_,	snake_case_				:					List[Any]   =       deduplicate_dataset(lowerCAmelCase__				)
										self.assertEqual(len(lowerCAmelCase__				)       ,							2				)
										print(lowerCAmelCase__				)
										self.assertEqual(duplicate_clusters[0][0]["copies"]       ,							2				)
										self.assertEqual(duplicate_clusters[0][0]["is_extreme"]       ,							lowerCAmelCase__				)




