
def      _a     (   __UpperCamelCase       :  str    ):
			lowerCAmelCase__ :    Dict				      =			str(__UpperCamelCase    ).strip()
			if not bin_string:
						raise ValueError('''Empty string was passed to the function'''    )
			lowerCAmelCase__ :    Dict				      =			bin_string[0] == '''-'''
			if is_negative:
						lowerCAmelCase__ :    Optional[int]				      =			bin_string[1:]
			if not all(char in '''01''' for char in bin_string    ):
						raise ValueError('''Non-binary value was passed to the function'''    )
			lowerCAmelCase__ :    int				      =			0
			for char in bin_string:
						lowerCAmelCase__ :    List[str]				      =			2 * decimal_number + int(__UpperCamelCase    )
			return -decimal_number if is_negative else decimal_number


if __name__ == "__main__":
							from doctest import testmod

							testmod()





from math import radians as angle_to_radians
from math import sin

# Acceleration Constant on Earth (unit m/s^2)
A__       :   str   						=					9.8_0665



def      _a     (   __UpperCamelCase       :  float	,__UpperCamelCase       :  float    ):

			# Ensure valid instance
			if not isinstance(__UpperCamelCase	,(int, float)    ):
						raise TypeError('''Invalid velocity. Should be a positive number.'''    )

			if not isinstance(__UpperCamelCase	,(int, float)    ):
						raise TypeError('''Invalid angle. Range is 1-90 degrees.'''    )

			# Ensure valid angle
			if angle > 90 or angle < 1:
						raise ValueError('''Invalid angle. Range is 1-90 degrees.'''    )

			# Ensure valid velocity
			if init_velocity < 0:
						raise ValueError('''Invalid velocity. Should be a positive number.'''    )



def      _a     (   __UpperCamelCase       :  float	,__UpperCamelCase       :  float    ):
			check_args(__UpperCamelCase	,__UpperCamelCase    )
			lowerCAmelCase__ :    Union[str, Any]				      =			angle_to_radians(2 * angle    )
			return round(init_velocity**2 * sin(__UpperCamelCase    ) / g	,2    )



def      _a     (   __UpperCamelCase       :  float	,__UpperCamelCase       :  float    ):
			check_args(__UpperCamelCase	,__UpperCamelCase    )
			lowerCAmelCase__ :    List[str]				      =			angle_to_radians(__UpperCamelCase    )
			return round(init_velocity**2 * sin(__UpperCamelCase    ) ** 2 / (2 * g)	,2    )



def      _a     (   __UpperCamelCase       :  float	,__UpperCamelCase       :  float    ):
			check_args(__UpperCamelCase	,__UpperCamelCase    )
			lowerCAmelCase__ :    Dict				      =			angle_to_radians(__UpperCamelCase    )
			return round(2 * init_velocity * sin(__UpperCamelCase    ) / g	,2    )



def      _a     (   ):
			lowerCAmelCase__      ,				lowerCAmelCase__ :    List[Any]				      =			25, 20
			assert horizontal_distance(__UpperCamelCase	,__UpperCamelCase    ) == 40.97
			assert max_height(__UpperCamelCase	,__UpperCamelCase    ) == 3.73
			assert total_time(__UpperCamelCase	,__UpperCamelCase    ) == 1.74


if __name__ == "__main__":
							from doctest import testmod

							testmod()

							# Get input from user
							A__       :   List[Any]   						=					float(input("""Initial Velocity: """).strip())

							# Get input from user
							A__       :   Optional[Any]   						=					float(input("""angle: """).strip())

							# Print results
							print()
							print("""Results: """)
							print(f"""Horizontal Distance: {horizontal_distance(init_vel, angle)!s} [m]""")
							print(f"""Maximum Height: {max_height(init_vel, angle)!s} [m]""")
							print(f"""Total Time: {total_time(init_vel, angle)!s} [s]""")



