






"""simple docstring"""






from __future__ import annotations

import queue





class       snake_case_       :



 """simple docstring"""

 def __init__(      self  ,					__a						):


     """simple docstring"""

     A__							 =       data
     A__							 =       None
     A__							 =       None





def  __lowerCamelCase					(					):
    print('\n********Press N to stop entering at any point of time********\n'				)
    A__							 =       input('Enter the value of the root node: '				).strip().lower()
    A__							 =       queue.Queue()
    A__							 =       TreeNode(int(lowerCAmelCase__				)				)
    q.put(lowerCAmelCase__				)
    while not q.empty():
        A__							 =       q.get()
        A__							 =       f'''Enter the left node of {node_found.data}: '''
        A__							 =       input(lowerCAmelCase__				).strip().lower() or 'n'
        if check == "n":
            return tree_node
        A__							 =       TreeNode(int(lowerCAmelCase__				)				)
        A__							 =       left_node
        q.put(lowerCAmelCase__				)
        A__							 =       f'''Enter the right node of {node_found.data}: '''
        A__							 =       input(lowerCAmelCase__				).strip().lower() or 'n'
        if check == "n":
            return tree_node
        A__							 =       TreeNode(int(lowerCAmelCase__				)				)
        A__							 =       right_node
        q.put(lowerCAmelCase__				)
    raise



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    print(node.data       ,end=','				)
    pre_order(node.left				)
    pre_order(node.right				)



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    in_order(node.left				)
    print(node.data       ,end=','				)
    in_order(node.right				)



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    post_order(node.left				)
    post_order(node.right				)
    print(node.data       ,end=','				)



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    A__							 =       queue.Queue()
    q.put(lowerCAmelCase__				)
    while not q.empty():
        A__							 =       q.get()
        print(node_dequeued.data       ,end=','				)
        if node_dequeued.left:
            q.put(node_dequeued.left				)
        if node_dequeued.right:
            q.put(node_dequeued.right				)



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    A__							 =       queue.Queue()
    q.put(lowerCAmelCase__				)
    while not q.empty():
        A__							 =       []
        while not q.empty():
            A__							 =       q.get()
            print(node_dequeued.data       ,end=','				)
            if node_dequeued.left:
                list_.append(node_dequeued.left				)
            if node_dequeued.right:
                list_.append(node_dequeued.right				)
        print()
        for node in list_:
            q.put(lowerCAmelCase__				)



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    A__							 =       []
    A__							 =       node
    while n or stack:
        while n:  # start from root node, find its left child
            print(n.data       ,end=','				)
            stack.append(lowerCAmelCase__				)
            A__							 =       n.left
        # end of while means current node doesn't have left child
        A__							 =       stack.pop()
        # start to traverse its right child
        A__							 =       n.right



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    A__							 =       []
    A__							 =       node
    while n or stack:
        while n:
            stack.append(lowerCAmelCase__				)
            A__							 =       n.left
        A__							 =       stack.pop()
        print(n.data       ,end=','				)
        A__							 =       n.right



def  __lowerCamelCase					(					lowerCAmelCase__				):
    if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or not node:
        return
    A__ ,			A__							 =       [], []
    A__							 =       node
    stacka.append(lowerCAmelCase__				)
    while stacka:  # to find the reversed order of post order, store it in stack2
        A__							 =       stacka.pop()
        if n.left:
            stacka.append(n.left				)
        if n.right:
            stacka.append(n.right				)
        stacka.append(lowerCAmelCase__				)
    while stacka:  # pop up from stack2 will be the post order
        print(stacka.pop().data       ,end=','				)



def  __lowerCamelCase					(					lowerCAmelCase__ = ""       ,lowerCAmelCase__=50       ,lowerCAmelCase__="*"				):
    if not s:
        return "\n" + width * char
    A__ ,			A__							 =       divmod(width - len(lowerCAmelCase__				) - 2       ,2				)
    return f'''{left * char} {s} {(left + extra) * char}'''


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(prompt('''Binary Tree Traversals'''))

     SCREAMING_SNAKE_CASE						:						TreeNode					   =       build_tree()
     print(prompt('''Pre Order Traversal'''))
     pre_order(node)
     print(prompt() + '''\n''')

     print(prompt('''In Order Traversal'''))
     in_order(node)
     print(prompt() + '''\n''')

     print(prompt('''Post Order Traversal'''))
     post_order(node)
     print(prompt() + '''\n''')

     print(prompt('''Level Order Traversal'''))
     level_order(node)
     print(prompt() + '''\n''')

     print(prompt('''Actual Level Order Traversal'''))
     level_order_actual(node)
     print('''*''' * 50 + '''\n''')

     print(prompt('''Pre Order Traversal - Iteration Version'''))
     pre_order_iter(node)
     print(prompt() + '''\n''')

     print(prompt('''In Order Traversal - Iteration Version'''))
     in_order_iter(node)
     print(prompt() + '''\n''')

     print(prompt('''Post Order Traversal - Iteration Version'''))
     post_order_iter(node)
     print(prompt())










"""simple docstring"""






from math import factorial, pi



def  __lowerCamelCase					(					lowerCAmelCase__       ,lowerCAmelCase__ = 30				):

				if not isinstance(lowerCAmelCase__       ,(int, float)				):
								raise ValueError('maclaurin_sin() requires either an int or float for theta'				)

				if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or accuracy <= 0:
								raise ValueError('maclaurin_sin() requires a positive int for accuracy'				)

				A__							 =       float(lowerCAmelCase__				)
				A__							 =       theta // (2 * pi)
				theta -= 2 * div * pi
				return sum(
				    (-1) ** r * theta ** (2 * r + 1) / factorial(2 * r + 1				) for r in range(lowerCAmelCase__				)				)



def  __lowerCamelCase					(					lowerCAmelCase__       ,lowerCAmelCase__ = 30				):

				if not isinstance(lowerCAmelCase__       ,(int, float)				):
								raise ValueError('maclaurin_cos() requires either an int or float for theta'				)

				if not isinstance(lowerCAmelCase__       ,lowerCAmelCase__				) or accuracy <= 0:
								raise ValueError('maclaurin_cos() requires a positive int for accuracy'				)

				A__							 =       float(lowerCAmelCase__				)
				A__							 =       theta // (2 * pi)
				theta -= 2 * div * pi
				return sum((-1) ** r * theta ** (2 * r) / factorial(2 * r				) for r in range(lowerCAmelCase__				)				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					print(maclaurin_sin(10))
					print(maclaurin_sin(-10))
					print(maclaurin_sin(10, 15))
					print(maclaurin_sin(-10, 15))

					print(maclaurin_cos(5))
					print(maclaurin_cos(-5))
					print(maclaurin_cos(10, 15))
					print(maclaurin_cos(-10, 15))


