






def    UpperCamelCase__  (   UpperCAmelCase    ,	UpperCAmelCase     )     ->		list:







							"""simple docstring"""





							_a  :    Tuple			=						sorted(UpperCAmelCase    ,	key=lambda UpperCAmelCase     : value[2]    ,	reverse=UpperCAmelCase     )

							# Create a list of size equal to the maximum deadline
							# and initialize it with -1
							_a  :    List[str]			=						max(UpperCAmelCase    ,	key=lambda UpperCAmelCase     : value[1]     )[1]
							_a  :    Union[str, Any]			=						[-1] * max_deadline

							# Finding the maximum profit and the count of jobs
							_a  :    List[Any]			=						0
							_a  :    str			=						0
							for job in jobs:
														# Find a free time slot for this job
														# (Note that we start from the last possible slot)
														for i in range(job[1] - 1    ,	-1    ,	-1     ):
																					if time_slots[i] == -1:
																												_a  :    Optional[Any]			=						job[0]
																												count += 1
																												max_profit += job[2]
																												break
							return [count, max_profit]


if __name__ == "__main__":
						import doctest

						doctest.testmod()







from math import radians as angle_to_radians
from math import sin

# Acceleration Constant on Earth (unit m/s^2)
__lowerCamelCase						= 9.8_06_65






def    UpperCamelCase__  (   UpperCAmelCase    ,	UpperCAmelCase     )     ->		None:







							"""simple docstring"""





							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    UpperCamelCase__  (   UpperCAmelCase    ,	UpperCAmelCase     )     ->		float:







							"""simple docstring"""





							check_args(UpperCAmelCase    ,	UpperCAmelCase     )
							_a  :    Dict			=						angle_to_radians(2 * angle     )
							return round(init_velocity**2 * sin(UpperCAmelCase     ) / g    ,	2     )






def    UpperCamelCase__  (   UpperCAmelCase    ,	UpperCAmelCase     )     ->		float:







							"""simple docstring"""





							check_args(UpperCAmelCase    ,	UpperCAmelCase     )
							_a  :    Union[str, Any]			=						angle_to_radians(UpperCAmelCase     )
							return round(init_velocity**2 * sin(UpperCAmelCase     ) ** 2 / (2 * g)    ,	2     )






def    UpperCamelCase__  (   UpperCAmelCase    ,	UpperCAmelCase     )     ->		float:







							"""simple docstring"""





							check_args(UpperCAmelCase    ,	UpperCAmelCase     )
							_a  :    str			=						angle_to_radians(UpperCAmelCase     )
							return round(2 * init_velocity * sin(UpperCAmelCase     ) / g    ,	2     )






def    UpperCamelCase__  (   )     ->		None:







							"""simple docstring"""





							_a		,					_a  :    Any			=						25, 20
							assert horizontal_distance(UpperCAmelCase    ,	UpperCAmelCase     ) == 4_0.9_7
							assert max_height(UpperCAmelCase    ,	UpperCAmelCase     ) == 3.7_3
							assert total_time(UpperCAmelCase    ,	UpperCAmelCase     ) == 1.7_4


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

						testmod()

						# Get input from user
						__lowerCamelCase						= float(input('Initial Velocity: ').strip())

						# Get input from user
						__lowerCamelCase						= 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]''')