"""
This is pure Python implementation of tree traversal algorithms
"""
import queue
from typing import List


class TreeNode:
    def __init__(self, data):
        self.data = data
        self.right = None
        self.left = None


def build_tree():
    print("\n********Press N to stop entering at any point of time********\n")
    check = input("Enter the value of the root node: ").strip().lower() or "n"
    if check == "n":
        return None
    q: queue.Queue = queue.Queue()
    tree_node = TreeNode(int(check))
    q.put(tree_node)
    while not q.empty():
        node_found = q.get()
        msg = "Enter the left node of %s: " % node_found.data
        check = input(msg).strip().lower() or "n"
        if check == "n":
            return tree_node
        left_node = TreeNode(int(check))
        node_found.left = left_node
        q.put(left_node)
        msg = "Enter the right node of %s: " % node_found.data
        check = input(msg).strip().lower() or "n"
        if check == "n":
            return tree_node
        right_node = TreeNode(int(check))
        node_found.right = right_node
        q.put(right_node)


def pre_order(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> pre_order(root)
    1 2 4 5 3 6 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    print(node.data, end=" ")
    pre_order(node.left)
    pre_order(node.right)


def in_order(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> in_order(root)
    4 2 5 1 6 3 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    in_order(node.left)
    print(node.data, end=" ")
    in_order(node.right)


def post_order(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> post_order(root)
    4 5 2 6 7 3 1 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    post_order(node.left)
    post_order(node.right)
    print(node.data, end=" ")


def level_order(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> level_order(root)
    1 2 3 4 5 6 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    q: queue.Queue = queue.Queue()
    q.put(node)
    while not q.empty():
        node_dequeued = 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 level_order_actual(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> level_order_actual(root)
    1 
    2 3 
    4 5 6 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    q: queue.Queue = queue.Queue()
    q.put(node)
    while not q.empty():
        list = []
        while not q.empty():
            node_dequeued = 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(node)


# iteration version
def pre_order_iter(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> pre_order_iter(root)
    1 2 4 5 3 6 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    stack: List[TreeNode] = []
    n = node
    while n or stack:
        while n:  # start from root node, find its left child
            print(n.data, end=" ")
            stack.append(n)
            n = n.left
        # end of while means current node doesn't have left child
        n = stack.pop()
        # start to traverse its right child
        n = n.right


def in_order_iter(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> in_order_iter(root)
    4 2 5 1 6 3 7 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    stack: List[TreeNode] = []
    n = node
    while n or stack:
        while n:
            stack.append(n)
            n = n.left
        n = stack.pop()
        print(n.data, end=" ")
        n = n.right


def post_order_iter(node: TreeNode) -> None:
    """
    >>> root = TreeNode(1)
    >>> tree_node2 = TreeNode(2)
    >>> tree_node3 = TreeNode(3)
    >>> tree_node4 = TreeNode(4)
    >>> tree_node5 = TreeNode(5)
    >>> tree_node6 = TreeNode(6)
    >>> tree_node7 = TreeNode(7)
    >>> root.left, root.right = tree_node2, tree_node3
    >>> tree_node2.left, tree_node2.right = tree_node4 , tree_node5
    >>> tree_node3.left, tree_node3.right = tree_node6 , tree_node7
    >>> post_order_iter(root)
    4 5 2 6 7 3 1 
    """
    if not isinstance(node, TreeNode) or not node:
        return
    stack1, stack2 = [], []
    n = node
    stack1.append(n)
    while stack1:  # to find the reversed order of post order, store it in stack2
        n = stack1.pop()
        if n.left:
            stack1.append(n.left)
        if n.right:
            stack1.append(n.right)
        stack2.append(n)
    while stack2:  # pop up from stack2 will be the post order
        print(stack2.pop().data, end=" ")


def prompt(s: str = "", width=50, char="*") -> str:
    if not s:
        return "\n" + width * char
    left, extra = divmod(width - len(s) - 2, 2)
    return f"{left * char} {s} {(left + extra) * char}"


if __name__ == "__main__":
    import doctest

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

    node = 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())