
import functools
from math import sqrt
from time import time

def        lowerCamelCase_      (			UpperCAmelCase_							:				str							,			*UpperCAmelCase_							:				Union[str, Any]							,			**UpperCAmelCase_							:				int       ):
						lowercase       :    Dict											=  time()
						lowercase       :    Any											=  func(*UpperCAmelCase_							,			**UpperCAmelCase_       )
						lowercase       :    List[Any]											=  time()
						if int(end - start       ) > 0:
												print(f'''{func.__name__} runtime: {(end - start):0.4f} s'''       )
						else:
												print(f'''{func.__name__} runtime: {(end - start) * 10_00:0.4f} ms'''       )
						return output

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

def        lowerCamelCase_      (			UpperCAmelCase_							:				int       ):

						def fib_recursive_term(UpperCAmelCase_							:				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(UpperCAmelCase_       ) for i in range(n + 1       )]

def        lowerCamelCase_      (			UpperCAmelCase_							:				int       ):

						@functools.cache
						def fib_recursive_term(UpperCAmelCase_							:				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(UpperCAmelCase_       ) for i in range(n + 1       )]

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

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

												lowercase       :    Union[str, Any]											=  rec_fn_memoized(num - 1       ) + rec_fn_memoized(num - 2       )
												lowercase       :    Dict											=  value
												return value

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

def        lowerCamelCase_      (			UpperCAmelCase_							:				int       ):
						if n < 0:
												raise Exception('''n is negative'''       )
						if n >= 14_75:
												raise Exception('''n is too large'''       )
						lowercase       :    Optional[Any]											=  sqrt(5       )
						lowercase       :    Optional[Any]											=  (1 + sqrt_a) / 2
						return [round(phi**i / sqrt_a       ) for i in range(n + 1       )]


if __name__ == "__main__":
				snake_case__  							=							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)




class 							UpperCAmelCase	:

					def __init__(			self      :					Any ,      lowerCAmelCase      :					int					):
											lowercase       :    Tuple											=  data
											lowercase       :    BinaryTreeNode | None											=  None
											lowercase       :    BinaryTreeNode | None											=  None





def        lowerCamelCase_      (			UpperCAmelCase_							:				BinaryTreeNode | None							,			UpperCAmelCase_							:				int       ):
						if node is None:
												lowercase       :    Union[str, Any]											=  BinaryTreeNode(UpperCAmelCase_       )
												return node

						# binary search tree is not empty,
						# so we will insert it into the tree
						# if new_value is less than value of data in node,
						#  add it to left subtree and proceed recursively
						if new_value < node.data:
												lowercase       :    List[Any]											=  insert(node.left_child							,			UpperCAmelCase_       )
						else:
												# if new_value is greater than value of data in node,
												#  add it to right subtree and proceed recursively
												lowercase       :    Dict											=  insert(node.right_child							,			UpperCAmelCase_       )
						return node

def        lowerCamelCase_      (			UpperCAmelCase_							:				None | BinaryTreeNode       ):  # if node is None,return
						if node:
												lowercase       :    Optional[Any]											=  inorder(node.left_child       )
												lowercase       :    Tuple											=  [*inorder_array, node.data]
												lowercase       :    Optional[Any]											=  inorder_array + inorder(node.right_child       )
						else:
												lowercase       :    Optional[int]											=  []
						return inorder_array

def        lowerCamelCase_      (			):
						lowercase       :    Any											=  insert(UpperCAmelCase_							,			15       )
						insert(UpperCAmelCase_							,			10       )
						insert(UpperCAmelCase_							,			25       )
						insert(UpperCAmelCase_							,			6       )
						insert(UpperCAmelCase_							,			14       )
						insert(UpperCAmelCase_							,			20       )
						insert(UpperCAmelCase_							,			60       )
						return root

def        lowerCamelCase_      (			):
						# main function
						lowercase       :    Any											=  make_tree()
						print('''Printing values of binary search tree in Inorder Traversal.'''       )
						inorder(UpperCAmelCase_       )


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()


