
def 				SCREAMING_SNAKE_CASE     (      __UpperCamelCase :						Union[str, Any]       ) ->       str:

				"""simple docstring"""







				A__  :	Any         =							[]
				A__  :	List[Any]         =							set({'''(''', '''[''', '''{'''}       )
				A__  :	int         =							set({''')''', ''']''', '''}'''}       )
				A__  :	Dict         =							{'''{''': '''}''', '''[''': ''']''', '''(''': ''')'''}

				for i in range(len(__UpperCamelCase       )       ):
								if s[i] in open_brackets:
												stack.append(s[i]       )

								elif s[i] in closed_brackets and (
								    len(__UpperCamelCase       ) == 0 or (len(__UpperCamelCase       ) > 0 and open_to_closed[stack.pop()] != s[i])
								):
												return False

				return len(__UpperCamelCase       ) == 0

def 				SCREAMING_SNAKE_CASE     (      ) ->       Optional[int]:

				"""simple docstring"""







				A__  :	Optional[Any]         =							input('''Enter sequence of brackets: '''       )
				if is_balanced(__UpperCamelCase       ):
								print(__UpperCamelCase							,						'''is balanced'''       )
				else:
								print(__UpperCamelCase							,						'''is not balanced'''       )


if __name__ == "__main__":
					main()

from numpy import exp, pi, sqrt

def 				SCREAMING_SNAKE_CASE     (      __UpperCamelCase :						Dict							,						__UpperCamelCase :						float = 0.0							,						__UpperCamelCase :						float = 1.0       ) ->       int:

				"""simple docstring"""







				return 1 / sqrt(2 * pi * sigma**2       ) * exp(-((x - mu) ** 2) / (2 * sigma**2)       )


if __name__ == "__main__":
					import doctest

					doctest.testmod()