






import json
import os
import unittest

from transformers import OpenAIGPTTokenizer, OpenAIGPTTokenizerFast
from transformers.models.openai.tokenization_openai import VOCAB_FILES_NAMES
from transformers.testing_utils import require_ftfy, require_spacy, require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin

@require_tokenizers
class 				lowerCAmelCase_	(		__snake_case   ,		unittest.TestCase			):
				_UpperCamelCase					:       List[Any]							       = OpenAIGPTTokenizer
				_UpperCamelCase					:       Optional[Any]							       = OpenAIGPTTokenizerFast
				_UpperCamelCase					:       Tuple							       = True
				_UpperCamelCase					:       Optional[Any]							       = False


				def 						__a					(					self      ):
											super().setUp()

											# Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
											_lowercase							:   int 							=   [
											    'l',
											    'o',
											    'w',
											    'e',
											    'r',
											    's',
											    't',
											    'i',
											    'd',
											    'n',
											    'w</w>',
											    'r</w>',
											    't</w>',
											    'lo',
											    'low',
											    'er</w>',
											    'low</w>',
											    'lowest</w>',
											    'newer</w>',
											    'wider</w>',
											    '<unk>',
											]
											_lowercase							:   Optional[int] 							=   dict(zip(_lowerCAmelCase ,						range(len(_lowerCAmelCase      )      )      )      )
											_lowercase							:   List[Any] 							=   ['#version: 0.2', 'l o', 'lo w', 'e r</w>', '']

											_lowercase							:   Optional[Any] 							=   os.path.join(self.tmpdirname ,						VOCAB_FILES_NAMES['vocab_file']      )
											_lowercase							:   str 							=   os.path.join(self.tmpdirname ,						VOCAB_FILES_NAMES['merges_file']      )
											with open(self.vocab_file ,						'w'      ) as fp:
																		fp.write(json.dumps(_lowerCAmelCase      )      )
											with open(self.merges_file ,						'w'      ) as fp:
																		fp.write('\n'.join(_lowerCAmelCase      )      )


				def 						__a					(					self ,						_lowerCAmelCase      ):
											return "lower newer", "lower newer"


				def 						__a					(					self      ):
											_lowercase							:   Optional[Any] 							=   OpenAIGPTTokenizer(self.vocab_file ,						self.merges_file      )

											_lowercase							:   Dict 							=   'lower'
											_lowercase							:   List[Any] 							=   ['low', 'er</w>']
											_lowercase							:   Tuple 							=   tokenizer.tokenize(_lowerCAmelCase      )
											self.assertListEqual(_lowerCAmelCase ,						_lowerCAmelCase      )

											_lowercase							:   Any 							=   tokens + ['<unk>']
											_lowercase							:   List[Any] 							=   [1_4, 1_5, 2_0]
											self.assertListEqual(tokenizer.convert_tokens_to_ids(_lowerCAmelCase      ) ,						_lowerCAmelCase      )


				def 						__a					(					self ,						_lowerCAmelCase=1_5      ):
											for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
																		with self.subTest(F"""{tokenizer.__class__.__name__} ({pretrained_name})"""      ):
																									_lowercase							:   Optional[Any] 							=   self.rust_tokenizer_class.from_pretrained(_lowerCAmelCase ,						**_lowerCAmelCase      )

																									# Simple input
																									_lowercase							:   Any 							=   'This is a simple input'
																									_lowercase							:   Optional[Any] 							=   ['This is a simple input 1', 'This is a simple input 2']
																									_lowercase							:   Optional[Any] 							=   ('This is a simple input', 'This is a pair')
																									_lowercase							:   int 							=   [
																									    ('This is a simple input 1', 'This is a simple input 2'),
																									    ('This is a simple pair 1', 'This is a simple pair 2'),
																									]

																									# Simple input tests
																									self.assertRaises(_lowerCAmelCase ,						tokenizer_r.encode ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length'      )

																									# Simple input
																									self.assertRaises(_lowerCAmelCase ,						tokenizer_r.encode_plus ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length'      )

																									# Simple input
																									self.assertRaises(
																									    _lowerCAmelCase ,						tokenizer_r.batch_encode_plus ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length' ,						)

																									# Pair input
																									self.assertRaises(_lowerCAmelCase ,						tokenizer_r.encode ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length'      )

																									# Pair input
																									self.assertRaises(_lowerCAmelCase ,						tokenizer_r.encode_plus ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length'      )

																									# Pair input
																									self.assertRaises(
																									    _lowerCAmelCase ,						tokenizer_r.batch_encode_plus ,						_lowerCAmelCase ,						max_length=_lowerCAmelCase ,						padding='max_length' ,						)


				def 						__a					(					self      ):
											pass




@require_ftfy
@require_spacy
@require_tokenizers
class 				lowerCAmelCase_	(		__snake_case			):
				pass












"""simple docstring"""







def      UpperCamelCase       ( _A  ,				_A )     ->       int:
				lowercase    :      int       = 1  # To kept the Calculated Value
				# Since C(n, k) = C(n, n-k)
				if k > (n - k):
								lowercase    :      List[Any]       = n - k
				# Calculate C(n,k)
				for i in range(_A ):
								result *= n - i
								result //= i + 1
				return result


def      UpperCamelCase       ( _A )     ->       int:
				return binomial_coefficient(2 * node_count  ,				_A ) // (node_count + 1)


def      UpperCamelCase       ( _A )     ->       int:
				if n < 0:
								raise ValueError("""factorial() not defined for negative values""" )
				lowercase    :      Union[str, Any]       = 1
				for i in range(1  ,				n + 1 ):
								result *= i
				return result


def      UpperCamelCase       ( _A )     ->       int:
				return catalan_number(_A ) * factorial(_A )


if __name__ == "__main__":
				_lowerCAmelCase            =	int(input('Enter the number of nodes: ').strip() or 0)
				if node_count <= 0:
								raise ValueError('We need some nodes to work with.')
				print(
				    F'Given {node_count} nodes, there are {binary_tree_count(node_count)} '
				    F'binary trees and {catalan_number(node_count)} binary search trees.'
				)
