





'''simple docstring'''

def 		UpperCamelCase							(				_lowerCamelCase   :   int		,			_lowerCamelCase   :   bool = False			):
    if n == 2:
        return True
    if not n % 2 or n < 2:
        return False
    if n > 5 and n % 10 not in (1, 3, 7, 9):  # can quickly check last digit
        return False
    if n > 3_31_70_44_06_46_79_88_73_85_96_19_81 and not allow_probable:
        raise ValueError(
            "Warning: upper bound of deterministic test is exceeded. "
            "Pass allow_probable=True to allow probabilistic test. "
            "A return value of True indicates a probable prime."			)
    # array bounds provided by analysis
    A__							=     [
        20_47,
        1_37_36_53,
        25_32_60_01,
        32_15_03_17_51,
        2_15_23_02_89_87_47,
        3_47_47_49_66_03_83,
        3_41_55_00_71_72_83_21,
        1,
        3_82_51_23_05_65_46_41_30_51,
        1,
        1,
        31_86_65_85_78_34_03_11_51_16_74_61,
        3_31_70_44_06_46_79_88_73_85_96_19_81,
    ]

    A__							=     [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]
    for idx, _p in enumerate(_lowerCamelCase		,			1			):
        if n < _p:
            # then we have our last prime to check
            A__							=     primes[:idx]
            break
    A__,      A__							=     n - 1, 0
    # break up n -1 into a power of 2 (s) and
    # remaining odd component
    # essentially, solve for d * 2 ** s == n - 1
    while d % 2 == 0:
        d //= 2
        s += 1
    for prime in plist:
        A__							=     False
        for r in range(_lowerCamelCase			):
            A__							=     pow(_lowerCamelCase		,			d * 2**r		,			_lowerCamelCase			)
            # see article for analysis explanation for m
            if (r == 0 and m == 1) or ((m + 1) % n == 0):
                A__							=     True
                # this loop will not determine compositeness
                break
        if pr:
            continue
        # if pr is False, then the above loop never evaluated to true,
        # and the n MUST be composite
        return False
    return True





def 		UpperCamelCase							(				):
    assert not miller_rabin(5_61			)
    assert miller_rabin(5_63			)
    # 2047

    assert not miller_rabin(83_82_01			)
    assert miller_rabin(83_82_07			)
    # 1_373_653

    assert not miller_rabin(17_31_60_01			)
    assert miller_rabin(17_31_60_17			)
    # 25_326_001

    assert not miller_rabin(30_78_38_66_41			)
    assert miller_rabin(30_78_38_66_53			)
    # 3_215_031_751

    assert not miller_rabin(1_71_30_45_57_48_01			)
    assert miller_rabin(1_71_30_45_57_48_19			)
    # 2_152_302_898_747

    assert not miller_rabin(2_77_97_99_72_83_07			)
    assert miller_rabin(2_77_97_99_72_83_27			)
    # 3_474_749_660_383

    assert not miller_rabin(1_13_85_00_23_90_94_41			)
    assert miller_rabin(1_13_85_00_23_90_95_27			)
    # 341_550_071_728_321

    assert not miller_rabin(1_27_50_41_01_88_48_80_43_51			)
    assert miller_rabin(1_27_50_41_01_88_48_80_43_91			)
    # 3_825_123_056_546_413_051

    assert not miller_rabin(7_96_66_46_44_58_50_77_87_79_18_67			)
    assert miller_rabin(7_96_66_46_44_58_50_77_87_79_19_51			)
    # 318_665_857_834_031_151_167_461

    assert not miller_rabin(55_28_40_67_74_46_64_78_97_66_03_33			)
    assert miller_rabin(55_28_40_67_74_46_64_78_97_66_03_59			)
    # 3_317_044_064_679_887_385_961_981
    # upper limit for probabilistic test


if __name__ == "__main__":
  test_miller_rabin()










'''simple docstring'''

from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


__lowerCAmelCase				:      Optional[Any]						      =logging.get_logger(__name__)

__lowerCAmelCase				:      str						      ={
    "distilbert-base-uncased": "https://huggingface.co/distilbert-base-uncased/resolve/main/config.json",
    "distilbert-base-uncased-distilled-squad": (
        "https://huggingface.co/distilbert-base-uncased-distilled-squad/resolve/main/config.json"
    ),
    "distilbert-base-cased": "https://huggingface.co/distilbert-base-cased/resolve/main/config.json",
    "distilbert-base-cased-distilled-squad": (
        "https://huggingface.co/distilbert-base-cased-distilled-squad/resolve/main/config.json"
    ),
    "distilbert-base-german-cased": "https://huggingface.co/distilbert-base-german-cased/resolve/main/config.json",
    "distilbert-base-multilingual-cased": (
        "https://huggingface.co/distilbert-base-multilingual-cased/resolve/main/config.json"
    ),
    "distilbert-base-uncased-finetuned-sst-2-english": (
        "https://huggingface.co/distilbert-base-uncased-finetuned-sst-2-english/resolve/main/config.json"
    ),
}






class   UpperCAmelCase      (			UpperCamelCase__							):
 __lowercase  						=							"""distilbert"""
 __lowercase  						=							{
     """hidden_size""": """dim""",
     """num_attention_heads""": """n_heads""",
     """num_hidden_layers""": """n_layers""",
 }
 def __init__(							self :Tuple		,			lowercase_ :List[str]=3_05_22		,			lowercase_ :Tuple=5_12		,			lowercase_ :List[str]=False		,			lowercase_ :int=6		,			lowercase_ :Optional[int]=12		,			lowercase_ :Optional[int]=7_68		,			lowercase_ :str=4 * 7_68		,			lowercase_ :List[Any]=0.1		,			lowercase_ :str=0.1		,			lowercase_ :Optional[int]="gelu"		,			lowercase_ :Optional[Any]=0.0_2		,			lowercase_ :Optional[Any]=0.1		,			lowercase_ :List[Any]=0.2		,			lowercase_ :str=0		,			**lowercase_ :Union[str, Any]		,			)->				str:
     A__							=     vocab_size
     A__							=     max_position_embeddings
     A__							=     sinusoidal_pos_embds
     A__							=     n_layers
     A__							=     n_heads
     A__							=     dim
     A__							=     hidden_dim
     A__							=     dropout
     A__							=     attention_dropout
     A__							=     activation
     A__							=     initializer_range
     A__							=     qa_dropout
     A__							=     seq_classif_dropout
     super().__init__(**lowercase_		,			pad_token_id=lowercase_				)






class   UpperCAmelCase      (			UpperCamelCase__							):
 @property
 def 	UpperCAmelCase_				(							self :List[str]				)->				Mapping[str, Mapping[int, str]]:
     if self.task == "multiple-choice":
         A__							=     {0: "batch", 1: "choice", 2: "sequence"}
     else:
         A__							=     {0: "batch", 1: "sequence"}
     return OrderedDict(
         [
             ("input_ids", dynamic_axis),
             ("attention_mask", dynamic_axis),
         ]				)



