
'''simple docstring'''







def  snake_case_		(    __SCREAMING_SNAKE_CASE :			str							):



						"""simple docstring"""





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



						"""simple docstring"""





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


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							_lowercase			:  int   							=	[
							    [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'''







def  snake_case_		(    __SCREAMING_SNAKE_CASE :			str							):



						"""simple docstring"""





						return [
						    txt[:a] + txt[a].upper() + txt[a + 1 :]
						    for a in range(len(__SCREAMING_SNAKE_CASE							)							)
						    if txt[a].isalpha()
						]


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



