



"""simple docstring"""







def   lowerCAmelCase__			(     lowerCamelCase__			) ->							list[list]:
       A         =					current_set.copy()
       for row_index, row in enumerate(lowerCamelCase__			):
              A         =					row[0]
              for column_index, column in enumerate(lowerCamelCase__			):
                     if magnitude == 0:
                            A         =					column
                            continue
                     A         =					column / magnitude
    # Subtract to cancel term
       A         =					current_set[0]
       A         =					[first_row]
       A         =					current_set[1::]
       for row in current_set:
              A         =					[]
              # If first term is 0, it is already in form we want, so we preserve it
              if row[0] == 0:
                     final_set.append(lowerCamelCase__			)
                     continue
              for column_index in range(len(lowerCamelCase__			)			):
                     temp_row.append(first_row[column_index] - row[column_index]			)
              final_set.append(lowerCamelCase__			)
       # Create next recursion iteration set
       if len(final_set[0]			) != 3:
              A         =					final_set[0]
              A         =					[]
              A         =					[]
              for row in final_set[1::]:
                     current_first_column.append(row[0]			)
                     next_iteration.append(row[1::]			)
              A         =					simplify(lowerCamelCase__			)
              for i in range(len(lowerCamelCase__			)			):
                     resultant[i].insert(0				,      current_first_column[i]			)
              resultant.insert(0				,      lowerCamelCase__			)
              A         =					resultant
       return final_set

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							list:
       if len(lowerCamelCase__			) == 0:
              raise IndexError('solve_simultaneous() requires n lists of length n+1'			)
       A         =					len(lowerCamelCase__			) + 1
       if any(len(lowerCamelCase__			) != _length for item in equations			):
              raise IndexError('solve_simultaneous() requires n lists of length n+1'			)
       for row in equations:
              if any(not isinstance(lowerCamelCase__				,      (int, float)			) for column in row			):
                     raise ValueError('solve_simultaneous() requires lists of integers'			)
       if len(lowerCamelCase__			) == 1:
              return [equations[0][-1] / equations[0][0]]
       A         =					equations.copy()
       if any(0 in row for row in data_set			):
              A         =					data_set.copy()
              A         =					[]
              for row_index, row in enumerate(lowerCamelCase__			):
                     if 0 not in row:
                            A         =					data_set.pop(lowerCamelCase__			)
                            break
              if not full_row:
                     raise ValueError('solve_simultaneous() requires at least 1 full equation'			)
              data_set.insert(0				,      lowerCamelCase__			)
       A         =					data_set.copy()
       A         =					simplify(lowerCamelCase__			)
       A         =					simplified[::-1]
       A         =					[]
       for row in simplified:
              A         =					row[-1]
              if not solutions:
                     if row[-2] == 0:
                            solutions.append(0			)
                            continue
                     solutions.append(current_solution / row[-2]			)
                     continue
              A         =					row.copy()[: len(lowerCamelCase__			) - 1 :]
              while temp_row[0] == 0:
                     temp_row.pop(0			)
              if len(lowerCamelCase__			) == 0:
                     solutions.append(0			)
                     continue
              A         =					temp_row[1::]
              A         =					temp_row[::-1]
              for column_index, column in enumerate(lowerCamelCase__			):
                     current_solution -= column * solutions[column_index]
              solutions.append(lowerCamelCase__			)
       A         =					[]
       for item in solutions:
              final.append(float(round(lowerCamelCase__				,      5			)			)			)
       return final[::-1]


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       A    =			[
           [2, 1, 1, 1, 1, 4],
           [1, 2, 1, 1, 1, 5],
           [1, 1, 2, 1, 1, 6],
           [1, 1, 1, 2, 1, 7],
           [1, 1, 1, 1, 2, 8],
       ]
       print(solve_simultaneous(eq))
       print(solve_simultaneous([[4, 2]]))








"""simple docstring"""







import re

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							list:
							return [char.split() for char in re.split(R'[^ a-z A-Z 0-9 \s]'				,      str_			)]

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							str:
							A         =					split_input(str_			)
							return "".join(
							    [''.join([char.capitalize() for char in sub_str]			) for sub_str in string_split]			)

def   lowerCAmelCase__			(     lowerCamelCase__				,      lowerCamelCase__				,      lowerCamelCase__			) ->							str:
							try:
														A         =					split_input(lowerCamelCase__			)
														if upper:
																					A         =					''.join(
																					    [
																					        separator.join([char.upper() for char in sub_str]			)
																					        for sub_str in string_split
																					    ]			)
														else:
																					A         =					''.join(
																					    [
																					        separator.join([char.lower() for char in sub_str]			)
																					        for sub_str in string_split
																					    ]			)
														return res_str
							except IndexError:
														return "not valid string"

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							str:
							return to_simple_case(lowerCamelCase__			)

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							str:
							try:
														A         =					to_simple_case(lowerCamelCase__			)
														return res_str[0].lower() + res_str[1:]
							except IndexError:
														return "not valid string"

def   lowerCAmelCase__			(     lowerCamelCase__				,      lowerCamelCase__			) ->							str:
							return to_complex_case(lowerCamelCase__				,      lowerCamelCase__				,      '_'			)

def   lowerCAmelCase__			(     lowerCamelCase__				,      lowerCamelCase__			) ->							str:
							return to_complex_case(lowerCamelCase__				,      lowerCamelCase__				,      '-'			)


if __name__ == "__main__":
							__import__('doctest').testmod()



