


'''simple docstring'''


def 		_lowercase (SCREAMING_SNAKE_CASE							):




     '''simple docstring'''





     __A	:       str      =							current_set.copy()
     for row_index, row in enumerate(SCREAMING_SNAKE_CASE							):
          __A	:       Optional[int]      =							row[0]
          for column_index, column in enumerate(SCREAMING_SNAKE_CASE							):
               if magnitude == 0:
                    __A	:       List[str]      =							column
                    continue
               __A	:       Optional[Any]      =							column / magnitude
    # Subtract to cancel term
     __A	:       Any      =							current_set[0]
     __A	:       Tuple      =							[first_row]
     __A	:       Any      =							current_set[1::]
     for row in current_set:
          __A	:       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:
          __A	:       int      =							final_set[0]
          __A	:       Dict      =							[]
          __A	:       int      =							[]
          for row in final_set[1::]:
               current_first_column.append(row[0]							)
               next_iteration.append(row[1::]							)
          __A	:       str      =							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							)
          __A	:       Any      =							resultant
     return final_set


def 		_lowercase (SCREAMING_SNAKE_CASE							):




     '''simple docstring'''





     if len(SCREAMING_SNAKE_CASE							) == 0:
          raise IndexError("solve_simultaneous() requires n lists of length n+1"							)
     __A	:       Tuple      =							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]]
     __A	:       str      =							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(SCREAMING_SNAKE_CASE							):
               if 0 not in row:
                    __A	:       List[str]      =							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							)
     __A	:       Tuple      =							data_set.copy()
     __A	:       Optional[Any]      =							simplify(SCREAMING_SNAKE_CASE							)
     __A	:       Dict      =							simplified[::-1]
     __A	:       list      =							[]
     for row in simplified:
          __A	:       List[Any]      =							row[-1]
          if not solutions:
               if row[-2] == 0:
                    solutions.append(0							)
                    continue
               solutions.append(current_solution / row[-2]							)
               continue
          __A	:       List[Any]      =							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
          __A	:       Dict      =							temp_row[1::]
          __A	:       Any      =							temp_row[::-1]
          for column_index, column in enumerate(SCREAMING_SNAKE_CASE							):
               current_solution -= column * solutions[column_index]
          solutions.append(SCREAMING_SNAKE_CASE							)
     __A	:       Tuple      =							[]
     for item in solutions:
          final.append(float(round(SCREAMING_SNAKE_CASE       ,					5							)							)							)
     return final[::-1]


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      _UpperCamelCase 							=  [
          [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'''


# Function to print upper half of diamond (pyramid)


def 		_lowercase (SCREAMING_SNAKE_CASE							):




     '''simple docstring'''





     for i in range(0       ,					SCREAMING_SNAKE_CASE							):
          for _ in range(0       ,					n - i - 1							):  # printing spaces
               print(" "       ,					end=""							)
          for _ in range(0       ,					i + 1							):  # printing stars
               print("* "       ,					end=""							)
          print()


def 		_lowercase (SCREAMING_SNAKE_CASE							):




     '''simple docstring'''





     for i in range(SCREAMING_SNAKE_CASE       ,					0       ,					-1							):
          for _ in range(SCREAMING_SNAKE_CASE       ,					0       ,					-1							):  # printing stars
               print("* "       ,					end=""							)
          print()
          for _ in range(n - i + 1       ,					0       ,					-1							):  # printing spaces
               print(" "       ,					end=""							)


def 		_lowercase (SCREAMING_SNAKE_CASE							):




     '''simple docstring'''





     if n <= 0:
          print("       ...       ....        nothing printing :("							)
          return
     floyd(SCREAMING_SNAKE_CASE							)  # upper half
     reverse_floyd(SCREAMING_SNAKE_CASE							)  # lower half


if __name__ == "__main__":
      print(r"""| /\ | |- |  |-  |--| |\  /| |-""")
      print(r"""|/  \| |- |_ |_  |__| | \/ | |_""")
      _UpperCamelCase 							=  1
      while K:
            _UpperCamelCase 							=  int(input("""enter the number and , and see the magic : """))
            print()
            pretty_print(user_number)
            _UpperCamelCase 							=  int(input("""press 0 to exit... and 1 to continue..."""))

      print("""Good Bye...""")

