


from __future__ import annotations

from typing import Any







def 						_lowercase       (     *__lowerCamelCase			:					list[list[int]]			)  ->   list[list[int]]:





     '''simple docstring'''





     if all(_check_not_integer(__lowerCamelCase			) for m in matrix_s			):
          for i in matrix_s[1:]:
               _verify_matrix_sizes(matrix_s[0]		,__lowerCamelCase			)
          return [[sum(__lowerCamelCase			) for t in zip(*__lowerCamelCase			)] for m in zip(*__lowerCamelCase			)]
     raise TypeError('''Expected a matrix, got int/list instead'''			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					list[list[int]]			)  ->   list[list[int]]:





     '''simple docstring'''





     if (
         _check_not_integer(__lowerCamelCase			)
         and _check_not_integer(__lowerCamelCase			)
         and _verify_matrix_sizes(__lowerCamelCase		,__lowerCamelCase			)
     ):
          return [[i - j for i, j in zip(*__lowerCamelCase			)] for m in zip(__lowerCamelCase		,__lowerCamelCase			)]
     raise TypeError('''Expected a matrix, got int/list instead'''			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					int | float			)  ->   list[list[float]]:





     '''simple docstring'''





     return [[x * n for x in row] for row in matrix]







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					list[list[int]]			)  ->   list[list[int]]:





     '''simple docstring'''





     if _check_not_integer(__lowerCamelCase			) and _check_not_integer(__lowerCamelCase			):
          UpperCamelCase__							:  Tuple								=     _verify_matrix_sizes(__lowerCamelCase		,__lowerCamelCase			)

     if cols[0] != rows[1]:
          UpperCamelCase__							:  Dict								=     (
              '''Cannot multiply matrix of dimensions '''
              F'({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})'
          )
          raise ValueError(__lowerCamelCase			)
     return [
         [sum(m * n for m, n in zip(__lowerCamelCase		,__lowerCamelCase			)			) for j in zip(*__lowerCamelCase			)] for i in matrix_a
     ]







def 						_lowercase       (     __lowerCamelCase			:					int			)  ->   list[list[int]]:





     '''simple docstring'''





     UpperCamelCase__							:  Optional[Any]								=     int(__lowerCamelCase			)
     return [[int(row == column			) for column in range(__lowerCamelCase			)] for row in range(__lowerCamelCase			)]







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					bool = True			)  ->   list[list[int]] | map[list[int]]:





     '''simple docstring'''





     if _check_not_integer(__lowerCamelCase			):
          if return_map:
               return map(__lowerCamelCase		,zip(*__lowerCamelCase			)			)
          else:
               return list(map(__lowerCamelCase		,zip(*__lowerCamelCase			)			)			)
     raise TypeError('''Expected a matrix, got int/list instead'''			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					int		,__lowerCamelCase			:					int			)  ->   list[list[int]]:





     '''simple docstring'''





     UpperCamelCase__							:  List[Any]								=     matrix[:row] + matrix[row + 1 :]
     return [row[:column] + row[column + 1 :] for row in minor]







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]			)  ->   Any:





     '''simple docstring'''





     if len(__lowerCamelCase			) == 1:
          return matrix[0][0]

     return sum(
         x * determinant(minor(__lowerCamelCase		,0		,__lowerCamelCase			)			) * (-1) ** i
         for i, x in enumerate(matrix[0]			)			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]			)  ->   list[list[float]] | None:





     '''simple docstring'''





     UpperCamelCase__							:  Any								=     determinant(__lowerCamelCase			)
     if det == 0:
          return None

     UpperCamelCase__							:  Dict								=     [
         [determinant(minor(__lowerCamelCase		,__lowerCamelCase		,__lowerCamelCase			)			) for j in range(len(__lowerCamelCase			)			)]
         for i in range(len(__lowerCamelCase			)			)
     ]

     UpperCamelCase__							:  Union[str, Any]								=     [
         [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]			)]
         for row in range(len(__lowerCamelCase			)			)
     ]
     UpperCamelCase__							:  int								=     list(transpose(__lowerCamelCase			)			)
     return scalar_multiply(__lowerCamelCase		,1 / det			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]			)  ->   bool:





     '''simple docstring'''





     return not isinstance(__lowerCamelCase		,__lowerCamelCase			) and not isinstance(matrix[0]		,__lowerCamelCase			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]			)  ->   tuple[int, int]:





     '''simple docstring'''





     return len(__lowerCamelCase			), len(matrix[0]			)







def 						_lowercase       (     __lowerCamelCase			:					list[list[int]]		,__lowerCamelCase			:					list[list[int]]			)  ->   tuple[tuple[int, int], tuple[int, int]]:





     '''simple docstring'''





     UpperCamelCase__							:  Union[str, Any]								=     _shape(__lowerCamelCase			) + _shape(__lowerCamelCase			)
     if shape[0] != shape[3] or shape[1] != shape[2]:
          UpperCamelCase__							:  Tuple								=     (
              '''operands could not be broadcast together with shape '''
              F'({shape[0], shape[1]}), ({shape[2], shape[3]})'
          )
          raise ValueError(__lowerCamelCase			)
     return (shape[0], shape[2]), (shape[1], shape[3])







def 						_lowercase       (     )  ->   None:





     '''simple docstring'''





     UpperCamelCase__							:  Optional[int]								=     [[12, 10], [3, 9]]
     UpperCamelCase__							:  List[Any]								=     [[3, 4], [7, 4]]
     UpperCamelCase__							:  Optional[int]								=     [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
     UpperCamelCase__							:  Union[str, Any]								=     [[3, 0, 2], [2, 0, -2], [0, 1, 1]]
     print(F'Add Operation, {add(__lowerCamelCase		,__lowerCamelCase			) = } \n'			)
     print(
         F'Multiply Operation, {multiply(__lowerCamelCase		,__lowerCamelCase			) = } \n'		,)
     print(F'Identity: {identity(5			)}\n'			)
     print(F'Minor of {matrix_c} = {minor(__lowerCamelCase		,1		,2			)} \n'			)
     print(F'Determinant of {matrix_b} = {determinant(__lowerCamelCase			)} \n'			)
     print(F'Inverse of {matrix_d} = {inverse(__lowerCamelCase			)}\n'			)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()





import os

from apache_beam.io.filesystems import FileSystems
from apache_beam.pipeline import Pipeline

from .logging import get_logger


_SCREAMING_SNAKE_CASE :					Optional[int]			=	2 << 20  # 2mb
_SCREAMING_SNAKE_CASE :					Optional[Any]			=	get_logger(__name__)

class  UpperCamelCase__ ( __lowerCamelCase			):






      def 	__lowercase(     self					:   List[str]   )  -> List[Any]:
           UpperCamelCase__							:  int								=     self._options.get_all_options().get('''runner'''   )
           return runner in [None, "DirectRunner", "PortableRunner"]







def 						_lowercase       (     __lowerCamelCase			:					List[str]		,__lowerCamelCase			:					Any		,__lowerCamelCase			:					List[str]=False			)  ->   Optional[int]:





     '''simple docstring'''





     UpperCamelCase__							:  Any								=     FileSystems
     if fs.exists(__lowerCamelCase			):
          if force_upload:
               logger.info(F'Remote path already exist: {remote_file_path}. Overwriting it as force_upload=True.'			)
          else:
               logger.info(F'Remote path already exist: {remote_file_path}. Skipping it as force_upload=False.'			)
               return
     with fs.create(__lowerCamelCase			) as remote_file:
          with open(__lowerCamelCase		,'''rb'''			) as local_file:
               UpperCamelCase__							:  List[Any]								=     local_file.read(__lowerCamelCase			)
               while chunk:
                    remote_file.write(__lowerCamelCase			)
                    UpperCamelCase__							:  Union[str, Any]								=     local_file.read(__lowerCamelCase			)







def 						_lowercase       (     __lowerCamelCase			:					Any		,__lowerCamelCase			:					int		,__lowerCamelCase			:					str=False			)  ->   Tuple:





     '''simple docstring'''





     UpperCamelCase__							:  Optional[int]								=     FileSystems
     if os.path.exists(__lowerCamelCase			):
          if force_download:
               logger.info(F'Local path already exist: {remote_file_path}. Overwriting it as force_upload=True.'			)
          else:
               logger.info(F'Local path already exist: {remote_file_path}. Skipping it as force_upload=False.'			)
               return
     with fs.open(__lowerCamelCase			) as remote_file:
          with open(__lowerCamelCase		,'''wb'''			) as local_file:
               UpperCamelCase__							:  Any								=     remote_file.read(__lowerCamelCase			)
               while chunk:
                    local_file.write(__lowerCamelCase			)
                    UpperCamelCase__							:  Dict								=     remote_file.read(__lowerCamelCase			)




