code: 
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  import functools
  from math import sqrt
  from time import time
  
  
  def 				UpperCamelCase	(  snake_case	,     *snake_case	,     **snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     SCREAMING_SNAKE_CASE__			:				Optional[int]       						= time()
     SCREAMING_SNAKE_CASE__			:				str       						= func(*snake_case	,     **snake_case   )
     SCREAMING_SNAKE_CASE__			:				Optional[int]       						= time()
     if int(end - start   ) > 0:
        print(f"""{func.__name__} runtime: {(end - start):0.4f} s"""   )
     else:
        print(f"""{func.__name__} runtime: {(end - start) * 10_00:0.4f} ms"""   )
     return output
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     if n < 0:
        raise Exception('''n is negative'''   )
     if n == 0:
        return [0]
     SCREAMING_SNAKE_CASE__			:				Tuple       						= [0, 1]
     for _ in range(n - 1   ):
        fib.append(fib[-1] + fib[-2]   )
     return fib
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     def fib_recursive_term(snake_case   ) -> int:
        if i < 0:
           raise Exception('''n is negative'''   )
        if i < 2:
           return i
        return fib_recursive_term(i - 1   ) + fib_recursive_term(i - 2   )
  
     if n < 0:
        raise Exception('''n is negative'''   )
     return [fib_recursive_term(snake_case   ) for i in range(n + 1   )]
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     @functools.cache
     def fib_recursive_term(snake_case   ) -> int:
        if i < 0:
           raise Exception('''n is negative'''   )
        if i < 2:
           return i
        return fib_recursive_term(i - 1   ) + fib_recursive_term(i - 2   )
  
     if n < 0:
        raise Exception('''n is negative'''   )
     return [fib_recursive_term(snake_case   ) for i in range(n + 1   )]
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     if n < 0:
        raise Exception('''n is negative'''   )
     # Cache must be outside recursuive function
     # other it will reset every time it calls itself.
     SCREAMING_SNAKE_CASE__			:				dict[int, int]       						= {0: 0, 1: 1, 2: 1}  # Prefilled cache
  
     def rec_fn_memoized(snake_case   ) -> int:
        if num in cache:
           return cache[num]
  
        SCREAMING_SNAKE_CASE__			:				Tuple       						= rec_fn_memoized(num - 1   ) + rec_fn_memoized(num - 2   )
        SCREAMING_SNAKE_CASE__			:				int       						= value
        return value
  
     return [rec_fn_memoized(snake_case   ) for i in range(n + 1   )]
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     if n < 0:
        raise Exception('''n is negative'''   )
     if n >= 14_75:
        raise Exception('''n is too large'''   )
     SCREAMING_SNAKE_CASE__			:				int       						= sqrt(5   )
     SCREAMING_SNAKE_CASE__			:				List[Any]       						= (1 + sqrt_a) / 2
     return [round(phi**i / sqrt_a   ) for i in range(n + 1   )]
  
  
  if __name__ == "__main__":
         lowercase__			=	3_0
         time_func(fib_iterative, num)
         time_func(fib_recursive, num)  # Around 3s runtime
         time_func(fib_recursive_cached, num)  # Around 0ms runtime
         time_func(fib_memoization, num)
         time_func(fib_binet, num)
  
  
style_context: 
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  lowercase__			=	{
      '''+''': lambda x, y: x + y,
      '''-''': lambda x, y: x - y,
      '''*''': lambda x, y: x * y,
      '''/''': lambda x, y: x / y,
  }
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     return c.isdigit()
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     SCREAMING_SNAKE_CASE__			:				Union[str, Any]       						= []
  
     # iterate over the string in reverse order
     for c in expression.split()[::-1]:
        # push operand to stack
        if is_operand(snake_case   ):
           stack.append(int(snake_case   )   )
  
        else:
           # pop values from stack can calculate the result
           # push the result onto the stack again
           SCREAMING_SNAKE_CASE__			:				Dict       						= stack.pop()
           SCREAMING_SNAKE_CASE__			:				Any       						= stack.pop()
           stack.append(calc[c](snake_case	,     snake_case   )   )
  
     return stack.pop()
  
  
  # Driver code
  if __name__ == "__main__":
         lowercase__			=	'''+ 9 * 2 6'''
         print(evaluate(test_expression))
  
         lowercase__			=	'''/ * 10 2 + 4 1 '''
         print(evaluate(test_expression))
  
  