"""simple docstring"""



from __future__ import annotations

import time

SCREAMING_SNAKE_CASE__:Union[str, Any]			=	list[tuple[int, int]]

SCREAMING_SNAKE_CASE__:str			=	[
    [0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 1, 0, 0],
]

SCREAMING_SNAKE_CASE__:List[str]			=	[[-1, 0], [0, -1], [1, 0], [0, 1]]  # up, left, down, right






class 				snake_case__     :


 def __init__(				self  ,						lowerCamelCase  ,						lowerCamelCase  ,						lowerCamelCase  ,						lowerCamelCase  ,						lowerCamelCase		):
        __a     				=  pos_x
        __a     				=  pos_y
        __a     				=  (pos_y, pos_x)
        __a     				=  goal_x
        __a     				=  goal_y
        __a     				=  parent






class 				snake_case__     :


 def __init__(				self  ,						lowerCamelCase  ,						lowerCamelCase		):
        __a     				=  Node(start[1]  ,						start[0]  ,						goal[1]  ,						goal[0]  ,						lowerCamelCase		)
        __a     				=  Node(goal[1]  ,						goal[0]  ,						goal[1]  ,						goal[0]  ,						lowerCamelCase		)

        __a     				=  [self.start]
        __a     				=  False


 def 		a__ (				self		):
        while self.node_queue:
               __a     				=  self.node_queue.pop(0		)

               if current_node.pos == self.target.pos:
                      __a     				=  True
                      return self.retrace_path(lowerCamelCase		)

               __a     				=  self.get_successors(lowerCamelCase		)

               for node in successors:
                      self.node_queue.append(lowerCamelCase		)

        if not self.reached:
               return [self.start.pos]
        return None


 def 		a__ (				self  ,						lowerCamelCase		):
        __a     				=  []
        for action in delta:
               __a     				=  parent.pos_x + action[1]
               __a     				=  parent.pos_y + action[0]
               if not (0 <= pos_x <= len(grid[0]		) - 1 and 0 <= pos_y <= len(lowerCamelCase		) - 1):
                      continue

               if grid[pos_y][pos_x] != 0:
                      continue

               successors.append(
                   Node(lowerCamelCase  ,						lowerCamelCase  ,						self.target.pos_y  ,						self.target.pos_x  ,						lowerCamelCase		)		)
        return successors






 def 		a__ (				self  ,						lowerCamelCase		):
        __a     				=  node
        __a     				=  []
        while current_node is not None:
               path.append((current_node.pos_y, current_node.pos_x)		)
               __a     				=  current_node.parent
        path.reverse()
        return path






class 				snake_case__     :


 def __init__(				self  ,						lowerCamelCase  ,						lowerCamelCase		):
        __a     				=  BreadthFirstSearch(lowerCamelCase  ,						lowerCamelCase		)
        __a     				=  BreadthFirstSearch(lowerCamelCase  ,						lowerCamelCase		)
        __a     				=  False


 def 		a__ (				self		):
        while self.fwd_bfs.node_queue or self.bwd_bfs.node_queue:
               __a     				=  self.fwd_bfs.node_queue.pop(0		)
               __a     				=  self.bwd_bfs.node_queue.pop(0		)

               if current_bwd_node.pos == current_fwd_node.pos:
                      __a     				=  True
                      return self.retrace_bidirectional_path(
                          lowerCamelCase  ,						lowerCamelCase		)

               __a     				=  current_bwd_node
               __a     				=  current_fwd_node

               __a     				=  {
                   self.fwd_bfs: self.fwd_bfs.get_successors(lowerCamelCase		),
                   self.bwd_bfs: self.bwd_bfs.get_successors(lowerCamelCase		),
               }

               for bfs in [self.fwd_bfs, self.bwd_bfs]:
                      for node in successors[bfs]:
                             bfs.node_queue.append(lowerCamelCase		)

        if not self.reached:
               return [self.fwd_bfs.start.pos]
        return None






 def 		a__ (				self  ,						lowerCamelCase  ,						lowerCamelCase		):
        __a     				=  self.fwd_bfs.retrace_path(lowerCamelCase		)
        __a     				=  self.bwd_bfs.retrace_path(lowerCamelCase		)
        bwd_path.pop()
        bwd_path.reverse()
        __a     				=  fwd_path + bwd_path
        return path


if __name__ == "__main__":
     # all coordinates are given in format [y,x]
     import doctest

     doctest.testmod()
     SCREAMING_SNAKE_CASE__:Dict			=	(0, 0)
     SCREAMING_SNAKE_CASE__:Dict			=	(len(grid) - 1, len(grid[0]) - 1)
     for elem in grid:
          print(elem)

     SCREAMING_SNAKE_CASE__:List[str]			=	time.time()
     SCREAMING_SNAKE_CASE__:Dict			=	BreadthFirstSearch(init, goal)
     SCREAMING_SNAKE_CASE__:int			=	bfs.search()
     SCREAMING_SNAKE_CASE__:Tuple			=	time.time() - start_bfs_time

     print("""Unidirectional BFS computation time : """, bfs_time)

     SCREAMING_SNAKE_CASE__:Tuple			=	time.time()
     SCREAMING_SNAKE_CASE__:Dict			=	BidirectionalBreadthFirstSearch(init, goal)
     SCREAMING_SNAKE_CASE__:List[Any]			=	bd_bfs.search()
     SCREAMING_SNAKE_CASE__:Tuple			=	time.time() - start_bd_bfs_time

     print("""Bidirectional BFS computation time : """, bd_bfs_time)

"""simple docstring"""



import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

SCREAMING_SNAKE_CASE__:List[str]			=	3



def 					_lowerCamelCase(					a							):
       print("Generating primitive root of p"							)
       while True:
              __a     				=  random.randrange(3 ,  a							)
              if pow(a ,  2 ,  a							) == 1:
                     continue
              if pow(a ,  a ,  a							) == 1:
                     continue
              return g



def 					_lowerCamelCase(					a							):
       print("Generating prime p..."							)
       __a     				=  rabin_miller.generate_large_prime(a							)  # select large prime number.
       __a     				=  primitive_root(a							)  # one primitive root on modulo p.
       __a     				=  random.randrange(3 ,  a							)  # private_key -> have to be greater than 2 for safety.
       __a     				=  cryptomath.find_mod_inverse(pow(a ,  a ,  a							) ,  a							)

       __a     				=  (key_size, e_a, e_a, p)
       __a     				=  (key_size, d)

       return public_key, private_key



def 					_lowerCamelCase(					a ,  a							):
       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(a							)
       print(F"\nWriting public key to file {name}_pubkey.txt..."							)
       with open(F"{name}_pubkey.txt" ,  "w"							) as fo:
              fo.write(F"{public_key[0]},{public_key[1]},{public_key[2]},{public_key[3]}"							)

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



def 					_lowerCamelCase(					):
       print("Making key files..."							)
       make_key_files("elgamal" ,  2_0_4_8							)
       print("Key files generation successful"							)


if __name__ == "__main__":
   main()
