

"""simple docstring"""


import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

__A						   =			3






def     a__    (    __SCREAMING_SNAKE_CASE )	->	int:
		print("Generating primitive root of p" )
		while True:
				__lowerCAmelCase:       Any          =			random.randrange(3					, __SCREAMING_SNAKE_CASE )
				if pow(__SCREAMING_SNAKE_CASE					, 2					, __SCREAMING_SNAKE_CASE ) == 1:
						continue
				if pow(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) == 1:
						continue
				return g






def     a__    (    __SCREAMING_SNAKE_CASE )	->	tuple[tuple[int, int, int, int], tuple[int, int]]:
		print("Generating prime p..." )
		__lowerCAmelCase:       str          =			rabin_miller.generate_large_prime(__SCREAMING_SNAKE_CASE )  # select large prime number.
		__lowerCAmelCase:       Union[str, Any]          =			primitive_root(__SCREAMING_SNAKE_CASE )  # one primitive root on modulo p.
		__lowerCAmelCase:       Union[str, Any]          =			random.randrange(3					, __SCREAMING_SNAKE_CASE )  # private_key -> have to be greater than 2 for safety.
		__lowerCAmelCase:       Tuple          =			cryptomath.find_mod_inverse(pow(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )

		__lowerCAmelCase:       Any          =			(key_size, e_a, e_a, p)
		__lowerCAmelCase:       str          =			(key_size, d)

		return public_key, private_key






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	None:
		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()

		__lowerCAmelCase      , __lowerCAmelCase:       Union[str, Any]          =			generate_key(__SCREAMING_SNAKE_CASE )
		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     a__    (    )	->	None:
		print("Making key files..." )
		make_key_files("elgamal"					, 2_0_4_8 )
		print("Key files generation successful" )


if __name__ == "__main__":
			main()





"""simple docstring"""


__A						   =			{
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	list[str]:
		__lowerCAmelCase:       Tuple          =			set()
		# keep track of all the paths to be checked
		__lowerCAmelCase:       Optional[Any]          =			[[start]]

		# return path if start is goal
		if start == goal:
				return [start]

		# keeps looping until all possible paths have been checked
		while queue:
				# pop the first path from the queue
				__lowerCAmelCase:       str          =			queue.pop(0 )
				# get the last node from the path
				__lowerCAmelCase:       List[Any]          =			path[-1]
				if node not in explored:
						__lowerCAmelCase:       str          =			graph[node]
						# go through all neighbour nodes, construct a new path and
						# push it into the queue
						for neighbour in neighbours:
								__lowerCAmelCase:       Optional[int]          =			list(__SCREAMING_SNAKE_CASE )
								new_path.append(__SCREAMING_SNAKE_CASE )
								queue.append(__SCREAMING_SNAKE_CASE )
								# return path if neighbour is goal
								if neighbour == goal:
										return new_path

            # mark node as explored
						explored.add(__SCREAMING_SNAKE_CASE )

    # in case there's no path between the 2 nodes
		return []






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	int:
		if not graph or start not in graph or target not in graph:
				return -1
		if start == target:
				return 0
		__lowerCAmelCase:       Dict          =			[start]
		__lowerCAmelCase:       Any          =			set(__SCREAMING_SNAKE_CASE )
		# Keep tab on distances from `start` node.
		__lowerCAmelCase:       int          =			{start: 0, target: -1}
		while queue:
				__lowerCAmelCase:       Optional[Any]          =			queue.pop(0 )
				if node == target:
						__lowerCAmelCase:       Dict          =			(
						    dist[node] if dist[target] == -1 else min(dist[target]					, dist[node] )
						)
				for adjacent in graph[node]:
						if adjacent not in visited:
								visited.add(__SCREAMING_SNAKE_CASE )
								queue.append(__SCREAMING_SNAKE_CASE )
								__lowerCAmelCase:       List[str]          =			dist[node] + 1
		return dist[target]


if __name__ == "__main__":
			print(bfs_shortest_path(demo_graph, "G", "D"))  # returns ['G', 'C', 'A', 'B', 'D']
			print(bfs_shortest_path_distance(demo_graph, "G", "D"))  # returns 4


