






"""simple docstring"""





import functools
from math import sqrt
from time import time







def 					lowerCamelCase__	(							_lowerCamelCase	:		Any		,    *_lowerCamelCase	:		List[str]		,    **_lowerCamelCase	:		Dict			)				->    int:
		lowerCamelCase_   					=						time()
		lowerCamelCase_   					=						func(*_lowerCamelCase		,    **_lowerCamelCase			)
		lowerCamelCase_   					=						time()
		if int(end - start			) > 0:
				print(F'''{func.__name__} runtime: {(end - start):0.4f} s'''			)
		else:
				print(F'''{func.__name__} runtime: {(end - start) * 1000:0.4f} ms'''			)
		return output







def 					lowerCamelCase__	(							_lowerCamelCase	:		int			)				->    list[int]:
		if n < 0:
				raise Exception('n is negative'			)
		if n == 0:
				return [0]
		lowerCamelCase_   					=						[0, 1]
		for _ in range(n - 1			):
				fib.append(fib[-1] + fib[-2]			)
		return fib







def 					lowerCamelCase__	(							_lowerCamelCase	:		int			)				->    list[int]:

		def fib_recursive_term(_lowerCamelCase	:		int			) -> int:
				if i < 0:
						raise Exception('n is negative'			)
				if i < 2:
						return i
				return fib_recursive_term(i - 1			) + fib_recursive_term(i - 2			)

		if n < 0:
				raise Exception('n is negative'			)
		return [fib_recursive_term(_lowerCamelCase			) for i in range(n + 1			)]







def 					lowerCamelCase__	(							_lowerCamelCase	:		int			)				->    list[int]:

		@functools.cache
		def fib_recursive_term(_lowerCamelCase	:		int			) -> int:
				if i < 0:
						raise Exception('n is negative'			)
				if i < 2:
						return i
				return fib_recursive_term(i - 1			) + fib_recursive_term(i - 2			)

		if n < 0:
				raise Exception('n is negative'			)
		return [fib_recursive_term(_lowerCamelCase			) for i in range(n + 1			)]







def 					lowerCamelCase__	(							_lowerCamelCase	:		int			)				->    list[int]:
		if n < 0:
				raise Exception('n is negative'			)
		# Cache must be outside recursuive function
		# other it will reset every time it calls itself.
		lowerCamelCase_   					=						{0: 0, 1: 1, 2: 1}  # Prefilled cache

		def rec_fn_memoized(_lowerCamelCase	:		int			) -> int:
				if num in cache:
						return cache[num]

				lowerCamelCase_   					=						rec_fn_memoized(num - 1			) + rec_fn_memoized(num - 2			)
				lowerCamelCase_   					=						value
				return value

		return [rec_fn_memoized(_lowerCamelCase			) for i in range(n + 1			)]







def 					lowerCamelCase__	(							_lowerCamelCase	:		int			)				->    list[int]:
		if n < 0:
				raise Exception('n is negative'			)
		if n >= 1475:
				raise Exception('n is too large'			)
		lowerCamelCase_   					=						sqrt(5			)
		lowerCamelCase_   					=						(1 + sqrt_a) / 2
		return [round(phi**i / sqrt_a			) for i in range(n + 1			)]


if __name__ == "__main__":
		_SCREAMING_SNAKE_CASE :    Optional[Any]    =						30
		time_func(fib_iterative, num)
		time_func(fib_recursive, num)  # Around 3s runtime
		time_func(fib_recursive_cached, num)  # Around 0ms runtime
		time_func(fib_memoization, num)
		time_func(fib_binet, num)












"""simple docstring"""





def 					lowerCamelCase__	(							_lowerCamelCase	:		dict		,    _lowerCamelCase	:		int			)				->    int:
  if not root or root not in binary_tree_mirror_dictionary:
    return
  lowerCamelCase_					,     lowerCamelCase_   					=						binary_tree_mirror_dictionary[root][:2]
  lowerCamelCase_   					=						[right_child, left_child]
  binary_tree_mirror_dict(_lowerCamelCase		,    _lowerCamelCase			)
  binary_tree_mirror_dict(_lowerCamelCase		,    _lowerCamelCase			)







def 					lowerCamelCase__	(							_lowerCamelCase	:		dict		,    _lowerCamelCase	:		int = 1			)				->    dict:
  if not binary_tree:
    raise ValueError('binary tree cannot be empty'			)
  if root not in binary_tree:
    lowerCamelCase_   					=						F'''root {root} is not present in the binary_tree'''
    raise ValueError(_lowerCamelCase			)
  lowerCamelCase_   					=						dict(_lowerCamelCase			)
  binary_tree_mirror_dict(_lowerCamelCase		,    _lowerCamelCase			)
  return binary_tree_mirror_dictionary


if __name__ == "__main__":
  _SCREAMING_SNAKE_CASE :    Tuple    =						{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
  print(F'''Binary tree: {binary_tree}''')
  _SCREAMING_SNAKE_CASE :    Dict    =						binary_tree_mirror(binary_tree, 5)
  print(F'''Binary tree mirror: {binary_tree_mirror_dictionary}''')




