






import doctest

import projectq
from projectq.ops import H, Measure






def    UpperCamelCase__  (   UpperCAmelCase     )     ->		int:







							"""simple docstring"""





							_a  :    Tuple			=						quantum_engine.allocate_qubit()
							H | qubit
							Measure | qubit
							return int(UpperCAmelCase     )


if __name__ == "__main__":
						doctest.testmod()

						# initialises a new quantum backend
						__lowerCamelCase						= projectq.MainEngine()

						# Generate a list of 10 random numbers
						__lowerCamelCase						= [get_random_number(quantum_engine) for _ in range(10)]

						# Flushes the quantum engine from memory
						quantum_engine.flush()

						print('Random numbers', random_numbers_list)







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]''')