



'''simple docstring'''



import math



def   _A       (   _lowerCAmelCase					):



							"""simple docstring"""



							if 1 < number < 4:
														# 2 and 3 are primes
														return True
							elif number < 2 or number % 2 == 0 or number % 3 == 0:
														# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
														return False

							# All primes number are in format of 6k +/- 1
							for i in range(5  ,   int(math.sqrt(_lowerCAmelCase					) + 1					)  ,   6					):
														if number % i == 0 or number % (i + 2) == 0:
																					return False
							return True



def   _A       (   _lowerCAmelCase = 10_001					):



							"""simple docstring"""



							try:
														__lowercase       	=int(_lowerCAmelCase					)
							except (TypeError, ValueError):
														raise TypeError('Parameter nth must be int or castable to int.'					) from None
							if nth <= 0:
														raise ValueError('Parameter nth must be greater than or equal to one.'					)
							__lowercase       	=[]
							__lowercase       	=2
							while len(_lowerCAmelCase					) < nth:
														if is_prime(_lowerCAmelCase					):
																					primes.append(_lowerCAmelCase					)
																					num += 1
														else:
																					num += 1
							return primes[len(_lowerCAmelCase					) - 1]


if __name__ == "__main__":
		print(f"{solution() = }")








'''simple docstring'''



import json
import os
import unittest

from transformers.models.blenderbot_small.tokenization_blenderbot_small import (
    VOCAB_FILES_NAMES,
    BlenderbotSmallTokenizer,
)

from ...test_tokenization_common import TokenizerTesterMixin





class _UpperCamelCase		(     A      ,       unittest.TestCase		):





				'''simple docstring'''





				lowerCAmelCase__					    =    BlenderbotSmallTokenizer
				lowerCAmelCase__					    =    False

				def 				__lowerCamelCase     (							self  :  str):







											'''simple docstring'''

											super().setUp()

											__lowercase       	=['__start__', 'adapt', 'act', 'ap@@', 'te', '__end__', '__unk__']
											__lowercase       	=dict(zip(_lowerCAmelCase  ,       range(len(_lowerCAmelCase))))

											__lowercase       	=['#version: 0.2', 'a p', 't e</w>', 'ap t</w>', 'a d', 'ad apt</w>', 'a c', 'ac t</w>', '']
											__lowercase       	={'unk_token': '__unk__', 'bos_token': '__start__', 'eos_token': '__end__'}

											__lowercase       	=os.path.join(self.tmpdirname  ,       VOCAB_FILES_NAMES['vocab_file'])
											__lowercase       	=os.path.join(self.tmpdirname  ,       VOCAB_FILES_NAMES['merges_file'])
											with open(self.vocab_file  ,       'w'  ,       encoding='utf-8') as fp:
																		fp.write(json.dumps(_lowerCAmelCase) + '\n')
											with open(self.merges_file  ,       'w'  ,       encoding='utf-8') as fp:
																		fp.write('\n'.join(_lowerCAmelCase))

				def 				__lowerCamelCase     (							self  :  int  ,       **_lowerCAmelCase  :  Tuple):







											'''simple docstring'''

											kwargs.update(self.special_tokens_map)
											return BlenderbotSmallTokenizer.from_pretrained(self.tmpdirname  ,       **_lowerCAmelCase)

				def 				__lowerCamelCase     (							self  :  Tuple  ,       _lowerCAmelCase  :  Any):







											'''simple docstring'''

											__lowercase       	='adapt act apte'
											__lowercase       	='adapt act apte'
											return input_text, output_text

				def 				__lowerCamelCase     (							self  :  Union[str, Any]):







											'''simple docstring'''

											__lowercase       	=BlenderbotSmallTokenizer(self.vocab_file  ,       self.merges_file  ,       **self.special_tokens_map)
											__lowercase       	='adapt act apte'
											__lowercase       	=['adapt', 'act', 'ap@@', 'te']
											__lowercase       	=tokenizer.tokenize(_lowerCAmelCase)
											self.assertListEqual(_lowerCAmelCase  ,       _lowerCAmelCase)

											__lowercase       	=[tokenizer.bos_token] + tokens + [tokenizer.eos_token]

											__lowercase       	=[0, 1, 2, 3, 4, 5]
											self.assertListEqual(tokenizer.convert_tokens_to_ids(_lowerCAmelCase)  ,       _lowerCAmelCase)

				def 				__lowerCamelCase     (							self  :  Union[str, Any]):







											'''simple docstring'''

											__lowercase       	=BlenderbotSmallTokenizer.from_pretrained('facebook/blenderbot-90M')
											assert tok('sam').input_ids == [1_3_8_4]
											__lowercase       	='I am a small frog.'
											__lowercase       	=tok([src_text]  ,       padding=_lowerCAmelCase  ,       truncation=_lowerCAmelCase)['input_ids']
											__lowercase       	=tok.batch_decode(_lowerCAmelCase  ,       skip_special_tokens=_lowerCAmelCase  ,       clean_up_tokenization_spaces=_lowerCAmelCase)[0]
											assert src_text != decoded  # I wish it did!
											assert decoded == "i am a small frog ."

				def 				__lowerCamelCase     (							self  :  str):







											'''simple docstring'''

											__lowercase       	=BlenderbotSmallTokenizer.from_pretrained('facebook/blenderbot-90M')
											__lowercase       	='I am a small frog .'
											__lowercase       	='.'
											__lowercase       	=tok(_lowerCAmelCase)['input_ids']
											__lowercase       	=tok(_lowerCAmelCase)['input_ids']

											assert encoded[-1] == encoded_dot[0]



