



'''simple docstring'''







from __future__ import annotations

from typing import Any







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







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







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		return [[x * n for x in row] for row in matrix]







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		if _check_not_integer(SCREAMING_SNAKE_CASE     ) and _check_not_integer(SCREAMING_SNAKE_CASE     ):
				SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:Dict										=      _verify_matrix_sizes(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )

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







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:Dict										=      int(SCREAMING_SNAKE_CASE     )
		return [[int(row == column     ) for column in range(SCREAMING_SNAKE_CASE     )] for row in range(SCREAMING_SNAKE_CASE     )]







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE = True     ):
		if _check_not_integer(SCREAMING_SNAKE_CASE     ):
				if return_map:
						return map(SCREAMING_SNAKE_CASE ,		zip(*SCREAMING_SNAKE_CASE     )     )
				else:
						return list(map(SCREAMING_SNAKE_CASE ,		zip(*SCREAMING_SNAKE_CASE     )     )     )
		raise TypeError('Expected a matrix, got int/list instead'     )







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:Any										=      matrix[:row] + matrix[row + 1 :]
		return [row[:column] + row[column + 1 :] for row in minor]







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		if len(SCREAMING_SNAKE_CASE     ) == 1:
				return matrix[0][0]

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







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:int										=      determinant(SCREAMING_SNAKE_CASE     )
		if det == 0:
				return None

		SCREAMING_SNAKE_CASE_						:int										=      [
		    [determinant(minor(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )     ) for j in range(len(SCREAMING_SNAKE_CASE     )     )]
		    for i in range(len(SCREAMING_SNAKE_CASE     )     )
		]

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







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		return not isinstance(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ) and not isinstance(matrix[0] ,		SCREAMING_SNAKE_CASE     )







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		return len(SCREAMING_SNAKE_CASE     ), len(matrix[0]     )







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







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


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()







def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		str:
       UpperCamelCase_ 							=	word.upper()
       UpperCamelCase_ 							=	0
       UpperCamelCase_ 							=	{}
       UpperCamelCase_ 							=	[]

       for letter in word:
              if letter not in letter_nums:
                     UpperCamelCase_ 							=	str(UpperCamelCase_	)
                     next_num += 1
              word_pattern.append(letter_nums[letter]	)
       return ".".join(UpperCamelCase_	)


if __name__ == "__main__":
     import pprint
     import time

     _UpperCAmelCase										=					time.time()
     with open('dictionary.txt') as in_file:
          _UpperCAmelCase										=					in_file.read().splitlines()

     _UpperCAmelCase										=					{}
     for word in word_list:
          _UpperCAmelCase										=					get_word_pattern(word)
          if pattern in all_patterns:
               all_patterns[pattern].append(word)
          else:
               _UpperCAmelCase										=					[word]

     with open('word_patterns.txt', 'w') as out_file:
          out_file.write(pprint.pformat(all_patterns))

     _UpperCAmelCase										=					round(time.time() - start_time, 2)
     print(f'''Done!  {len(all_patterns):,} word patterns found in {total_time} seconds.''')
     # Done!  9,581 word patterns found in 0.58 seconds.

