





'''simple docstring'''


from binascii import hexlify
from hashlib import shaaaa
from os import urandom

# RFC 3526 - More Modular Exponential (MODP) Diffie-Hellman groups for
# Internet Key Exchange (IKE) https://tools.ietf.org/html/rfc3526

lowerCAmelCase					:     Tuple												={
    # 1536-bit
    5: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 2048-bit
    14: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AACAA68FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 3072-bit
    15: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 4096-bit
    16: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'''
            + '''88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'''
            + '''2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'''
            + '''287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'''
            + '''1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'''
            + '''93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199'''
            + '''FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 6144-bit
    17: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E08'''
            + '''8A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B'''
            + '''302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9'''
            + '''A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE6'''
            + '''49286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8'''
            + '''FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C'''
            + '''180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718'''
            + '''3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D'''
            + '''04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7D'''
            + '''B3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D226'''
            + '''1AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFC'''
            + '''E0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B26'''
            + '''99C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB'''
            + '''04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2'''
            + '''233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127'''
            + '''D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'''
            + '''36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BDF8FF9406'''
            + '''AD9E530EE5DB382F413001AEB06A53ED9027D831179727B0865A8918'''
            + '''DA3EDBEBCF9B14ED44CE6CBACED4BB1BDB7F1447E6CC254B33205151'''
            + '''2BD7AF426FB8F401378CD2BF5983CA01C64B92ECF032EA15D1721D03'''
            + '''F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E59E7C97F'''
            + '''BEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'''
            + '''CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58B'''
            + '''B7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632'''
            + '''387FE8D76E3C0468043E8F663F4860EE12BF2D5B0B7474D6E694F91E'''
            + '''6DCC4024FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 8192-bit
    18: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'''
            + '''88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'''
            + '''2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'''
            + '''287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'''
            + '''1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'''
            + '''93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'''
            + '''36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD'''
            + '''F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831'''
            + '''179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B'''
            + '''DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF'''
            + '''5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6'''
            + '''D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3'''
            + '''23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'''
            + '''CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328'''
            + '''06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C'''
            + '''DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE'''
            + '''12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4'''
            + '''38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300'''
            + '''741FA7BF8AFC47ED2576F6936BA424663AAB639C5AE4F568'''
            + '''3423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD9'''
            + '''22222E04A4037C0713EB57A81A23F0C73473FC646CEA306B'''
            + '''4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A'''
            + '''062B3CF5B3A278A66D2A13F83F44F82DDF310EE074AB6A36'''
            + '''4597E899A0255DC164F31CC50846851DF9AB48195DED7EA1'''
            + '''B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92'''
            + '''4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E47'''
            + '''9558E4475677E9AA9E3050E2765694DFC81F56E880B96E71'''
            + '''60C980DD98EDD3DFFFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
}
class       a_   :





     def __init__( self		:					Tuple	,      lowercase		:					int = 14						):





        """simple docstring"""




        if group not in primes:
           raise ValueError("Unsupported Group"						)
        lowercase_			:str    			= primes[group]["prime"]
        lowercase_			:Any    			= primes[group]["generator"]

        lowercase_			:List[str]    			= int(hexlify(urandom(32						)						)	,      base=16						)





     def 							lowercase__      ( self		:					Any						):





        """simple docstring"""




        return hex(self.__private_key						)[2:]





     def 							lowercase__      ( self		:					Tuple						):





        """simple docstring"""




        lowercase_			:Any    			= pow(self.generator	,      self.__private_key	,      self.prime						)
        return hex(lowercase						)[2:]





     def 							lowercase__      ( self		:					Optional[Any]	,      lowercase		:					int						):





        """simple docstring"""




        return (
            2 <= key <= self.prime - 2
            and pow(lowercase	,      (self.prime - 1) // 2	,      self.prime						) == 1
        )





     def 							lowercase__      ( self		:					Dict	,      lowercase		:					str						):





        """simple docstring"""




        lowercase_			:List[Any]    			= int(lowercase	,      base=16						)
        if not self.is_valid_public_key(lowercase						):
           raise ValueError("Invalid public key"						)
        lowercase_			:List[str]    			= pow(lowercase	,      self.__private_key	,      self.prime						)
        return shaaaa(str(lowercase						).encode()						).hexdigest()





     @staticmethod
     def 							lowercase__      ( lowercase		:					int	,      lowercase		:					int						):





        """simple docstring"""




        return (
            2 <= remote_public_key_str <= prime - 2
            and pow(lowercase	,      (prime - 1) // 2	,      lowercase						) == 1
        )







     @staticmethod
     def 							lowercase__      ( lowercase		:					str	,      lowercase		:					str	,      lowercase		:					int = 14						):





        """simple docstring"""




        lowercase_			:Optional[int]    			= int(lowercase	,      base=16						)
        lowercase_			:str    			= int(lowercase	,      base=16						)
        lowercase_			:Union[str, Any]    			= primes[group]["prime"]
        if not DiffieHellman.is_valid_public_key_static(lowercase	,      lowercase						):
           raise ValueError("Invalid public key"						)
        lowercase_			:Optional[Any]    			= pow(lowercase	,      lowercase	,      lowercase						)
        return shaaaa(str(lowercase						).encode()						).hexdigest()


if __name__ == "__main__":
 import doctest

 doctest.testmod()









'''simple docstring'''


import unittest

from transformers.testing_utils import CaptureStdout
from transformers.tools.python_interpreter import evaluate
def 							UpperCAmelCase_  (						__lowerCamelCase					:					List[Any] ):
   return x + 2


class       a_   (				unittest.TestCase							):





     def 							lowercase__      ( self		:					Optional[Any]						):





        """simple docstring"""




        lowercase_			:Optional[int]    			= "x = 3"
        lowercase_			:Any    			= {}
        lowercase_			:Any    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        assert result == 3
        self.assertDictEqual(lowercase	,      {"x": 3}						)

        lowercase_			:Dict    			= "x = y"
        lowercase_			:Dict    			= {"y": 5}
        lowercase_			:str    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        # evaluate returns the value of the last assignment.
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 5, "y": 5}						)





     def 							lowercase__      ( self		:					List[Any]						):





        """simple docstring"""




        lowercase_			:Dict    			= "y = add_two(x)"
        lowercase_			:Optional[Any]    			= {"x": 3}
        lowercase_			:int    			= evaluate(lowercase	,      {"add_two": add_two}	,      state=lowercase						)
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 3, "y": 5}						)

        # Won't work without the tool
        with CaptureStdout() as out:
           lowercase_			:List[Any]    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        assert result is None
        assert "tried to execute add_two" in out.out





     def 							lowercase__      ( self		:					int						):





        """simple docstring"""




        lowercase_			:Optional[int]    			= "x = 3"
        lowercase_			:Any    			= {}
        lowercase_			:Any    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        assert result == 3
        self.assertDictEqual(lowercase	,      {"x": 3}						)





     def 							lowercase__      ( self		:					Any						):





        """simple docstring"""




        lowercase_			:Optional[Any]    			= "test_dict = {'x': x, 'y': add_two(x)}"
        lowercase_			:List[str]    			= {"x": 3}
        lowercase_			:Any    			= evaluate(lowercase	,      {"add_two": add_two}	,      state=lowercase						)
        self.assertDictEqual(lowercase	,      {"x": 3, "y": 5}						)
        self.assertDictEqual(lowercase	,      {"x": 3, "test_dict": {"x": 3, "y": 5}}						)





     def 							lowercase__      ( self		:					Optional[Any]						):





        """simple docstring"""




        lowercase_			:Optional[int]    			= "x = 3\ny = 5"
        lowercase_			:Union[str, Any]    			= {}
        lowercase_			:Optional[int]    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        # evaluate returns the value of the last assignment.
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 3, "y": 5}						)





     def 							lowercase__      ( self		:					List[Any]						):





        """simple docstring"""




        lowercase_			:List[str]    			= "text = f'This is x: {x}.'"
        lowercase_			:int    			= {"x": 3}
        lowercase_			:int    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        # evaluate returns the value of the last assignment.
        assert result == "This is x: 3."
        self.assertDictEqual(lowercase	,      {"x": 3, "text": "This is x: 3."}						)





     def 							lowercase__      ( self		:					Optional[int]						):





        """simple docstring"""




        lowercase_			:List[Any]    			= "if x <= 3:\n    y = 2\nelse:\n    y = 5"
        lowercase_			:List[str]    			= {"x": 3}
        lowercase_			:Union[str, Any]    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        # evaluate returns the value of the last assignment.
        assert result == 2
        self.assertDictEqual(lowercase	,      {"x": 3, "y": 2}						)

        lowercase_			:List[str]    			= {"x": 8}
        lowercase_			:Tuple    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        # evaluate returns the value of the last assignment.
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 8, "y": 5}						)





     def 							lowercase__      ( self		:					Dict						):





        """simple docstring"""




        lowercase_			:Any    			= "test_list = [x, add_two(x)]"
        lowercase_			:Optional[int]    			= {"x": 3}
        lowercase_			:List[str]    			= evaluate(lowercase	,      {"add_two": add_two}	,      state=lowercase						)
        self.assertListEqual(lowercase	,      [3, 5]						)
        self.assertDictEqual(lowercase	,      {"x": 3, "test_list": [3, 5]}						)





     def 							lowercase__      ( self		:					List[Any]						):





        """simple docstring"""




        lowercase_			:str    			= "y = x"
        lowercase_			:Any    			= {"x": 3}
        lowercase_			:Tuple    			= evaluate(lowercase	,      {}	,      state=lowercase						)
        assert result == 3
        self.assertDictEqual(lowercase	,      {"x": 3, "y": 3}						)





     def 							lowercase__      ( self		:					Any						):





        """simple docstring"""




        lowercase_			:List[Any]    			= "test_list = [x, add_two(x)]\ntest_list[1]"
        lowercase_			:Dict    			= {"x": 3}
        lowercase_			:Any    			= evaluate(lowercase	,      {"add_two": add_two}	,      state=lowercase						)
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 3, "test_list": [3, 5]}						)

        lowercase_			:Union[str, Any]    			= "test_dict = {'x': x, 'y': add_two(x)}\ntest_dict['y']"
        lowercase_			:List[Any]    			= {"x": 3}
        lowercase_			:List[Any]    			= evaluate(lowercase	,      {"add_two": add_two}	,      state=lowercase						)
        assert result == 5
        self.assertDictEqual(lowercase	,      {"x": 3, "test_dict": {"x": 3, "y": 5}}						)







     def 							lowercase__      ( self		:					Any						):





        """simple docstring"""




        lowercase_			:Dict    			= "x = 0\nfor i in range(3):\n    x = i"
        lowercase_			:Any    			= {}
        lowercase_			:Tuple    			= evaluate(lowercase	,      {"range": range}	,      state=lowercase						)
        assert result == 2
        self.assertDictEqual(lowercase	,      {"x": 2, "i": 2}						)


