
import importlib.metadata
import subprocess
import sys



def      _a     (   __UpperCamelCase       :  bool = False    ):
			lowerCAmelCase__ :    Tuple				      =			False
			if "IPython" in sys.modules:
						lowerCAmelCase__ :    Tuple				      =			'''google.colab''' in str(sys.modules['''IPython'''].get_ipython()    )

			if in_colab:
						if upgrade:
									lowerCAmelCase__ :    List[str]				      =			['''pip''', '''install''', '''-U''', '''torch''']
									subprocess.run(__UpperCamelCase	,check=__UpperCamelCase    )
						# get the current version of torch
						lowerCAmelCase__ :    str				      =			importlib.metadata.version('''torch'''    )
						lowerCAmelCase__ :    Optional[Any]				      =			torch_version[: torch_version.rindex('''.'''    )]
						lowerCAmelCase__ :    List[str]				      =			f'''https://storage.googleapis.com/tpu-pytorch/wheels/colab/torch_xla-{torch_version_trunc}-cp37-cp37m-linux_x86_64.whl'''
						lowerCAmelCase__ :    Any				      =			['''pip''', '''install''', xla_wheel]
						subprocess.run(__UpperCamelCase	,check=__UpperCamelCase    )
			else:
						raise RuntimeError('''`install_xla` utility works only on google colab.'''    )





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]""")



