


snake_case_  :	List[Any]							  =							[0.33, 0.44, 0.55, 0.44, 0.33]
snake_case_  :	Optional[int]							  =							3
snake_case_  :	Dict							  =							5

# Buffer Space (with Parameters Space)
snake_case_  :	list[float]							  =							[]
snake_case_  :	list[float]							  =							[]

# Machine Time
snake_case_  :	Optional[Any]							  =							0







def   lowerCamelCase(      a__):
				global buffer_space, params_space, machine_time, K, m, t

				# Choosing Dynamical Systems (All)
				for key, value in enumerate(a__):
								# Evolution Parameter
								_SCREAMING_SNAKE_CASE	     =float(seed / value)

								# Control Theory: Orbit Change
								_SCREAMING_SNAKE_CASE	     =(buffer_space[(key + 1) % m] + e) % 1

								# Control Theory: Trajectory Change
								_SCREAMING_SNAKE_CASE	     =(params_space[key] + e) % 1 + 3

								# Modification (Transition Function) - Jumps
								_SCREAMING_SNAKE_CASE	     =round(float(r * value * (1 - value))		,10)
								_SCREAMING_SNAKE_CASE	     =r  # Saving to Parameters Space

				# Logistic Map
				assert max(a__) < 1
				assert max(a__) < 4

				# Machine Time
				machine_time += 1







def   lowerCamelCase(      ):
				global buffer_space, params_space, machine_time, K, m, t

				# PRNG (Xorshift by George Marsaglia)
				def xorshift(a__		,a__):
								x ^= y >> 13
								y ^= x << 17
								x ^= y >> 5
								return x

				# Choosing Dynamical Systems (Increment)
				_SCREAMING_SNAKE_CASE	     =machine_time % m

				# Evolution (Time Length)
				for _ in range(0		,a__):
								# Variables (Position + Parameters)
								_SCREAMING_SNAKE_CASE	     =params_space[key]
								_SCREAMING_SNAKE_CASE	     =buffer_space[key]

								# Modification (Transition Function) - Flow
								_SCREAMING_SNAKE_CASE	     =round(float(r * value * (1 - value))		,10)
								_SCREAMING_SNAKE_CASE	     =(machine_time * 0.01 + r * 1.01) % 1 + 3

				# Choosing Chaotic Data
				_SCREAMING_SNAKE_CASE	     =int(buffer_space[(key + 2) % m] * (10**10))
				_SCREAMING_SNAKE_CASE	     =int(buffer_space[(key - 2) % m] * (10**10))

				# Machine Time
				machine_time += 1

				return xorshift(a__		,a__) % 0xffff_ffff







def   lowerCamelCase(      ):
				global buffer_space, params_space, machine_time, K, m, t

				_SCREAMING_SNAKE_CASE	     =K
				_SCREAMING_SNAKE_CASE	     =[0] * m
				_SCREAMING_SNAKE_CASE	     =0


if __name__ == "__main__":
							# Initialization
							reset()

							# Pushing Data (Input)
							import random

							snake_case_  :	Tuple							  =							random.sample(range(0xFF_FFF_FFF), 1_00)
							for chunk in message:
														push(chunk)

							# for controlling
							snake_case_  :	List[str]							  =							''''''

							# Pulling Data (Output)
							while inp in ("e", "E"):
														print(f"""{format(pull(), "#04x")}""")
														print(buffer_space)
														print(params_space)
														snake_case_  :	Any							  =							input('''(e)exit? ''').strip()



from __future__ import annotations

from collections.abc import Callable







def   lowerCamelCase(      a__		,a__		,a__		,a__ = 100		,):
				_SCREAMING_SNAKE_CASE	     =x_start
				_SCREAMING_SNAKE_CASE	     =fnc(a__)
				_SCREAMING_SNAKE_CASE	     =0.0

				for _ in range(a__):
								# Approximates small segments of curve as linear and solve
								# for trapezoidal area
								_SCREAMING_SNAKE_CASE	     =(x_end - x_start) / steps + xa
								_SCREAMING_SNAKE_CASE	     =fnc(a__)
								area += abs(fxa + fxa) * (xa - xa) / 2

								# Increment step
								_SCREAMING_SNAKE_CASE	     =xa
								_SCREAMING_SNAKE_CASE	     =fxa
				return area


if __name__ == "__main__":







							def   lowerCamelCase(      a__):
											return x**3

							print('''f(x) = x^3''')
							print('''The area between the curve, x = -10, x = 10 and the x axis is:''')
							snake_case_  :	Any							  =							10
							while i <= 10_00_00:
														snake_case_  :	Tuple							  =							trapezoidal_area(f, -5, 5, i)
														print(f"""with {i} steps: {area}""")
														i *= 10