





'''simple docstring'''

from __future__ import annotations

import math
import random
from typing import Any






class        UpperCAmelCase     :
 def __init__(    self				:Optional[int]							)->							None:
     A__    =      []
     A__    =      0
     A__    =      0
 def 					UpperCAmelCase_							(    self				:Dict							)->							bool:
     return self.head == self.tail
 def 					UpperCAmelCase_							(    self				:Dict						,	lowercase_				:Any							)->							None:
     self.data.append(lowercase_							)
     A__    =      self.tail + 1
 def 					UpperCAmelCase_							(    self				:str							)->							Any:
     A__    =      self.data[self.head]
     A__    =      self.head + 1
     return ret
 def 					UpperCAmelCase_							(    self				:str							)->							int:
     return self.tail - self.head



 def 					UpperCAmelCase_							(    self				:Tuple							)->							None:
     print(self.data							)
     print("**************"							)
     print(self.data[self.head : self.tail]							)






class        UpperCAmelCase     :
 def __init__(    self				:Optional[Any]						,	lowercase_				:Any							)->							None:
     A__    =      data
     A__    =      None
     A__    =      None
     A__    =      1
 def 					UpperCAmelCase_							(    self				:Tuple							)->							Any:
     return self.data
 def 					UpperCAmelCase_							(    self				:int							)->							MyNode | None:
     return self.left
 def 					UpperCAmelCase_							(    self				:int							)->							MyNode | None:
     return self.right
 def 					UpperCAmelCase_							(    self				:List[str]							)->							int:
     return self.height
 def 					UpperCAmelCase_							(    self				:Tuple						,	lowercase_				:Any							)->							None:
     A__    =      data
 def 					UpperCAmelCase_							(    self				:Union[str, Any]						,	lowercase_				:MyNode | None							)->							None:
     A__    =      node
 def 					UpperCAmelCase_							(    self				:List[Any]						,	lowercase_				:MyNode | None							)->							None:
     A__    =      node



 def 					UpperCAmelCase_							(    self				:Union[str, Any]						,	lowercase_				:int							)->							None:
     A__    =      height





def 						UpperCamelCase    (							_lowerCamelCase : MyNode | None	):
    if node is None:
        return 0
    return node.get_height()





def 						UpperCamelCase    (							_lowerCamelCase : int						,	_lowerCamelCase : int	):
    if a > b:
        return a
    return b





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    print("left rotation node:"						,	node.get_data()	)
    A__    =      node.get_left()
    assert ret is not None
    node.set_left(ret.get_right()	)
    ret.set_right(_lowerCamelCase	)
    A__    =      my_max(get_height(node.get_right()	)						,	get_height(node.get_left()	)	) + 1
    node.set_height(_lowerCamelCase	)
    A__    =      my_max(get_height(ret.get_right()	)						,	get_height(ret.get_left()	)	) + 1
    ret.set_height(_lowerCamelCase	)
    return ret





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    print("right rotation node:"						,	node.get_data()	)
    A__    =      node.get_right()
    assert ret is not None
    node.set_right(ret.get_left()	)
    ret.set_left(_lowerCamelCase	)
    A__    =      my_max(get_height(node.get_right()	)						,	get_height(node.get_left()	)	) + 1
    node.set_height(_lowerCamelCase	)
    A__    =      my_max(get_height(ret.get_right()	)						,	get_height(ret.get_left()	)	) + 1
    ret.set_height(_lowerCamelCase	)
    return ret





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    A__    =      node.get_left()
    assert left_child is not None
    node.set_left(left_rotation(_lowerCamelCase	)	)
    return right_rotation(_lowerCamelCase	)





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    A__    =      node.get_right()
    assert right_child is not None
    node.set_right(right_rotation(_lowerCamelCase	)	)
    return left_rotation(_lowerCamelCase	)





def 						UpperCamelCase    (							_lowerCamelCase : MyNode | None						,	_lowerCamelCase : Any	):
    if node is None:
        return MyNode(_lowerCamelCase	)
    if data < node.get_data():
        node.set_left(insert_node(node.get_left()						,	_lowerCamelCase	)	)
        if (
            get_height(node.get_left()	) - get_height(node.get_right()	) == 2
        ):  # an unbalance detected
            A__    =      node.get_left()
            assert left_child is not None
            if (
                data < left_child.get_data()
            ):  # new node is the left child of the left child
                A__    =      right_rotation(_lowerCamelCase	)
            else:
                A__    =      lr_rotation(_lowerCamelCase	)
    else:
        node.set_right(insert_node(node.get_right()						,	_lowerCamelCase	)	)
        if get_height(node.get_right()	) - get_height(node.get_left()	) == 2:
            A__    =      node.get_right()
            assert right_child is not None
            if data < right_child.get_data():
                A__    =      rl_rotation(_lowerCamelCase	)
            else:
                A__    =      left_rotation(_lowerCamelCase	)
    A__    =      my_max(get_height(node.get_right()	)						,	get_height(node.get_left()	)	) + 1
    node.set_height(_lowerCamelCase	)
    return node





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    while True:
        A__    =      root.get_right()
        if right_child is None:
            break
        A__    =      right_child
    return root.get_data()





def 						UpperCamelCase    (							_lowerCamelCase : MyNode	):
    while True:
        A__    =      root.get_left()
        if left_child is None:
            break
        A__    =      left_child
    return root.get_data()





def 						UpperCamelCase    (							_lowerCamelCase : MyNode						,	_lowerCamelCase : Any	):
    A__    =      root.get_left()
    A__    =      root.get_right()
    if root.get_data() == data:
        if left_child is not None and right_child is not None:
            A__    =      get_left_most(_lowerCamelCase	)
            root.set_data(_lowerCamelCase	)
            root.set_right(del_node(_lowerCamelCase						,	_lowerCamelCase	)	)
        elif left_child is not None:
            A__    =      left_child
        elif right_child is not None:
            A__    =      right_child
        else:
            return None
    elif root.get_data() > data:
        if left_child is None:
            print("No such data"	)
            return root
        else:
            root.set_left(del_node(_lowerCamelCase						,	_lowerCamelCase	)	)
    else:  # root.get_data() < data
        if right_child is None:
            return root
        else:
            root.set_right(del_node(_lowerCamelCase						,	_lowerCamelCase	)	)

    if get_height(_lowerCamelCase	) - get_height(_lowerCamelCase	) == 2:
        assert right_child is not None
        if get_height(right_child.get_right()	) > get_height(right_child.get_left()	):
            A__    =      left_rotation(_lowerCamelCase	)
        else:
            A__    =      rl_rotation(_lowerCamelCase	)
    elif get_height(_lowerCamelCase	) - get_height(_lowerCamelCase	) == -2:
        assert left_child is not None
        if get_height(left_child.get_left()	) > get_height(left_child.get_right()	):
            A__    =      right_rotation(_lowerCamelCase	)
        else:
            A__    =      lr_rotation(_lowerCamelCase	)
    A__    =      my_max(get_height(root.get_right()	)						,	get_height(root.get_left()	)	) + 1
    root.set_height(_lowerCamelCase	)
    return root






class        UpperCAmelCase     :
 def __init__(    self				:Tuple							)->							None:
     A__    =      None
 def 					UpperCAmelCase_							(    self				:Optional[Any]							)->							int:
     return get_height(self.root							)
 def 					UpperCAmelCase_							(    self				:str						,	lowercase_				:Any							)->							None:
     print("insert:" + str(lowercase_							)							)
     A__    =      insert_node(self.root						,	lowercase_							)
 def 					UpperCAmelCase_							(    self				:List[Any]						,	lowercase_				:Any							)->							None:
     print("delete:" + str(lowercase_							)							)
     if self.root is None:
         print("Tree is empty!"							)
         return
     A__    =      del_node(self.root						,	lowercase_							)



 def __str__(    self				:str						,	)->							str:  # a level traversale, gives a more intuitive look on the tree
     A__    =      ""
     A__    =      MyQueue()
     q.push(self.root							)
     A__    =      self.get_height()
     if layer == 0:
         return output
     A__    =      0
     while not q.is_empty():
         A__    =      q.pop()
         A__    =      " " * int(math.pow(2						,	layer - 1							)							)
         output += space
         if node is None:
             output += "*"
             q.push(lowercase_							)
             q.push(lowercase_							)
         else:
             output += str(node.get_data()							)
             q.push(node.get_left()							)
             q.push(node.get_right()							)
         output += space
         A__    =      cnt + 1
         for i in range(1_00							):
             if cnt == math.pow(2						,	lowercase_							) - 1:
                 A__    =      layer - 1
                 if layer == 0:
                     output += "\n*************************************"
                     return output
                 output += "\n"
                 break
     output += "\n*************************************"
     return output





def 						UpperCamelCase    (							):
    import doctest

    doctest.testmod()


if __name__ == "__main__":
  _test()
  __lowerCAmelCase							:     Any		     =AVLtree()
  __lowerCAmelCase							:     Optional[int]		     =list(range(10))
  random.shuffle(lst)
  for i in lst:
    t.insert(i)
    print(str(t))
  random.shuffle(lst)
  for i in lst:
    t.del_node(i)
    print(str(t))










'''simple docstring'''

import os
import random
import sys

from . import cryptomath_module as cryptoMath  # noqa: N812
from . import rabin_miller as rabinMiller  # noqa: N812





def 						UpperCamelCase    (							):
    print("Making key files..."	)
    make_key_files("rsa"						,	10_24	)
    print("Key files generation successful."	)





def 						UpperCamelCase    (							_lowerCamelCase : int	):
    print("Generating prime p..."	)
    A__    =      rabinMiller.generate_large_prime(_lowerCamelCase	)
    print("Generating prime q..."	)
    A__    =      rabinMiller.generate_large_prime(_lowerCamelCase	)
    A__    =      p * q

    print("Generating e that is relatively prime to (p - 1) * (q - 1)..."	)
    while True:
        A__    =      random.randrange(2 ** (key_size - 1)						,	2 ** (key_size)	)
        if cryptoMath.gcd(_lowerCamelCase						,	(p - 1) * (q - 1)	) == 1:
            break

    print("Calculating d that is mod inverse of e..."	)
    A__    =      cryptoMath.find_mod_inverse(_lowerCamelCase						,	(p - 1) * (q - 1)	)

    A__    =      (n, e)
    A__    =      (n, d)
    return (public_key, private_key)





def 						UpperCamelCase    (							_lowerCamelCase : str						,	_lowerCamelCase : int	):
    if os.path.exists(F"{name}_pubkey.txt"	) or os.path.exists(F"{name}_privkey.txt"	):
        print("\nWARNING:"	)
        print(
            F"\"{name}_pubkey.txt\" or \"{name}_privkey.txt\" already exists. \n"
            "Use a different name or delete these files and re-run this program."	)
        sys.exit()

    A__,     A__    =      generate_key(_lowerCamelCase	)
    print(F"\nWriting public key to file {name}_pubkey.txt..."	)
    with open(F"{name}_pubkey.txt"						,	"w"	) as out_file:
        out_file.write(F"{key_size},{public_key[0]},{public_key[1]}"	)

    print(F"Writing private key to file {name}_privkey.txt..."	)
    with open(F"{name}_privkey.txt"						,	"w"	) as out_file:
        out_file.write(F"{key_size},{private_key[0]},{private_key[1]}"	)


if __name__ == "__main__":
  main()



