

import logging
from dataclasses import dataclass, field
from typing import Optional

from seqaseq_trainer import arg_to_scheduler

from transformers import TrainingArguments


lowerCAmelCase__	   = logging.getLogger(__name__)

@dataclass
class 					a__						(					snake_case			):
			"""simple docstring"""







			__lowerCamelCase        =       field(
			    default=0.0							,	metadata={'help': 'The label smoothing epsilon to apply (if not zero).'}			)
			__lowerCamelCase        =       field(default=snake_case							,	metadata={'help': 'Whether to SortishSamler or not.'}			)
			__lowerCamelCase        =       field(
			    default=snake_case							,	metadata={'help': 'Whether to use generate to calculate generative metrics (ROUGE, BLEU).'}			)
			__lowerCamelCase        =       field(default=snake_case							,	metadata={'help': 'whether to use adafactor'}			)
			__lowerCamelCase        =       field(
			    default=snake_case							,	metadata={'help': 'Encoder layer dropout probability. Goes into model.config.'}			)
			__lowerCamelCase        =       field(
			    default=snake_case							,	metadata={'help': 'Decoder layer dropout probability. Goes into model.config.'}			)
			__lowerCamelCase        =       field(default=snake_case							,	metadata={'help': 'Dropout probability. Goes into model.config.'}			)
			__lowerCamelCase        =       field(
			    default=snake_case							,	metadata={'help': 'Attention dropout probability. Goes into model.config.'}			)
			__lowerCamelCase        =       field(
			    default='linear'							,	metadata={'help': f"Which lr scheduler to use. Selected in {sorted(arg_to_scheduler.keys()			)}"}							,	)




import math

lowerCAmelCase__	   = 1_0
lowerCAmelCase__	   = 7
lowerCAmelCase__	   = BALLS_PER_COLOUR * NUM_COLOURS



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							int = 2_0      )			->      str:




				'''simple docstring'''





				A__        =			math.comb(SCREAMING_SNAKE_CASE_	,       SCREAMING_SNAKE_CASE_      )
				A__        =			math.comb(NUM_BALLS - BALLS_PER_COLOUR	,       SCREAMING_SNAKE_CASE_      )

				A__        =			NUM_COLOURS * (1 - missing_colour / total)

				return F'{result:.9f}'


if __name__ == "__main__":
	print(solution(2_0))

