



def      lowerCAmelCase_					(  _lowercase    :       list[list])							->	list[list]:







			"""simple docstring"""
			a__       :						List[str]							=  current_set.copy()
			for row_index, row in enumerate(_lowercase):
						a__       :						Union[str, Any]							=  row[0]
						for column_index, column in enumerate(_lowercase):
									if magnitude == 0:
												a__       :						int							=  column
												continue
									a__       :						List[str]							=  column / magnitude
    # Subtract to cancel term
			a__       :						Optional[Any]							=  current_set[0]
			a__       :						int							=  [first_row]
			a__       :						Tuple							=  current_set[1::]
			for row in current_set:
						a__       :						int							=  []
						# If first term is 0, it is already in form we want, so we preserve it
						if row[0] == 0:
									final_set.append(_lowercase)
									continue
						for column_index in range(len(_lowercase)):
									temp_row.append(first_row[column_index] - row[column_index])
						final_set.append(_lowercase)
			# Create next recursion iteration set
			if len(final_set[0]) != 3:
						a__       :						Union[str, Any]							=  final_set[0]
						a__       :						Union[str, Any]							=  []
						a__       :						List[str]							=  []
						for row in final_set[1::]:
									current_first_column.append(row[0])
									next_iteration.append(row[1::])
						a__       :						Union[str, Any]							=  simplify(_lowercase)
						for i in range(len(_lowercase)):
									resultant[i].insert(0						,       current_first_column[i])
						resultant.insert(0						,       _lowercase)
						a__       :						Tuple							=  resultant
			return final_set

def      lowerCAmelCase_					(  _lowercase    :       list[list])							->	list:







			"""simple docstring"""
			if len(_lowercase) == 0:
						raise IndexError("""solve_simultaneous() requires n lists of length n+1""")
			a__       :						List[Any]							=  len(_lowercase) + 1
			if any(len(_lowercase) != _length for item in equations):
						raise IndexError("""solve_simultaneous() requires n lists of length n+1""")
			for row in equations:
						if any(not isinstance(_lowercase						,       (int, float)) for column in row):
									raise ValueError("""solve_simultaneous() requires lists of integers""")
			if len(_lowercase) == 1:
						return [equations[0][-1] / equations[0][0]]
			a__       :						Union[str, Any]							=  equations.copy()
			if any(0 in row for row in data_set):
						a__       :						Optional[Any]							=  data_set.copy()
						a__       :						Tuple							=  []
						for row_index, row in enumerate(_lowercase):
									if 0 not in row:
												a__       :						Tuple							=  data_set.pop(_lowercase)
												break
						if not full_row:
									raise ValueError("""solve_simultaneous() requires at least 1 full equation""")
						data_set.insert(0						,       _lowercase)
			a__       :						List[str]							=  data_set.copy()
			a__       :						Optional[int]							=  simplify(_lowercase)
			a__       :						Dict							=  simplified[::-1]
			a__       :						list							=  []
			for row in simplified:
						a__       :						Union[str, Any]							=  row[-1]
						if not solutions:
									if row[-2] == 0:
												solutions.append(0)
												continue
									solutions.append(current_solution / row[-2])
									continue
						a__       :						str							=  row.copy()[: len(_lowercase) - 1 :]
						while temp_row[0] == 0:
									temp_row.pop(0)
						if len(_lowercase) == 0:
									solutions.append(0)
									continue
						a__       :						List[str]							=  temp_row[1::]
						a__       :						Optional[Any]							=  temp_row[::-1]
						for column_index, column in enumerate(_lowercase):
									current_solution -= column * solutions[column_index]
						solutions.append(_lowercase)
			a__       :						int							=  []
			for item in solutions:
						final.append(float(round(_lowercase						,       5)))
			return final[::-1]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		_lowercase		:				List[Any]      		=[
		    [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]]))









import os
import sys
from contextlib import contextmanager


# Windows only
if os.name == "nt":
		import ctypes
		import msvcrt  # noqa

		class        snake_case__    (ctypes.Structure		):







								"""simple docstring"""




								__lowerCAmelCase					:Dict      =					[("size", ctypes.c_int), ("visible", ctypes.c_byte)]

def      lowerCAmelCase_					(  )							->	List[Any]:







			"""simple docstring"""
			if os.name == "nt":
						a__       :						int							=  CursorInfo()
						a__       :						Union[str, Any]							=  ctypes.windll.kernelaa.GetStdHandle(-11)
						ctypes.windll.kernelaa.GetConsoleCursorInfo(_lowercase						,       ctypes.byref(_lowercase))
						a__       :						List[str]							=  False
						ctypes.windll.kernelaa.SetConsoleCursorInfo(_lowercase						,       ctypes.byref(_lowercase))
			elif os.name == "posix":
						sys.stdout.write("""\033[?25l""")
						sys.stdout.flush()

def      lowerCAmelCase_					(  )							->	Optional[Any]:







			"""simple docstring"""
			if os.name == "nt":
						a__       :						List[Any]							=  CursorInfo()
						a__       :						Optional[int]							=  ctypes.windll.kernelaa.GetStdHandle(-11)
						ctypes.windll.kernelaa.GetConsoleCursorInfo(_lowercase						,       ctypes.byref(_lowercase))
						a__       :						Dict							=  True
						ctypes.windll.kernelaa.SetConsoleCursorInfo(_lowercase						,       ctypes.byref(_lowercase))
			elif os.name == "posix":
						sys.stdout.write("""\033[?25h""")
						sys.stdout.flush()





@contextmanager
def      lowerCAmelCase_					(  )							->	Any:







			"""simple docstring"""
			try:
						hide_cursor()
						yield
			finally:
						show_cursor()




