import sys



def     lowercase__( __SCREAMING_SNAKE_CASE							:  List[str]   ):
     lowercase_			:       Optional[Any]									=			len(_UpperCAmelCase   )
     lowercase_			:       int									=			[[0 for x in range(_UpperCAmelCase   )] for x in range(_UpperCAmelCase   )]
     lowercase_			:       Any									=			[[0 for x in range(_UpperCAmelCase   )] for x in range(_UpperCAmelCase   )]

     for chain_length in range(2  ,    _UpperCAmelCase   ):
          for a in range(1  ,    n - chain_length + 1   ):
               lowercase_			:       Dict									=			a + chain_length - 1

               lowercase_			:       List[Any]									=			sys.maxsize
               for c in range(_UpperCAmelCase  ,    _UpperCAmelCase   ):
                    lowercase_			:       Optional[int]									=			(
                        matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
                    )
                    if cost < matrix[a][b]:
                         lowercase_			:       Tuple									=			cost
                         lowercase_			:       Union[str, Any]									=			c
     return matrix, sol



def     lowercase__( __SCREAMING_SNAKE_CASE							:  Tuple  ,    __SCREAMING_SNAKE_CASE							:  Optional[Any]  ,    __SCREAMING_SNAKE_CASE							:  Tuple   ):
     if i == j:
          print('A' + str(_UpperCAmelCase   )  ,    end=' '   )
     else:
          print('('  ,    end=' '   )
          print_optiomal_solution(_UpperCAmelCase  ,    _UpperCAmelCase  ,    optimal_solution[i][j]   )
          print_optiomal_solution(_UpperCAmelCase  ,    optimal_solution[i][j] + 1  ,    _UpperCAmelCase   )
          print(')'  ,    end=' '   )



def     lowercase__( ):
     lowercase_			:       Tuple									=			[30, 35, 15, 5, 10, 20, 25]
     lowercase_			:       Optional[Any]									=			len(_UpperCAmelCase   )
     # Size of matrix created from above array will be
     # 30*35 35*15 15*5 5*10 10*20 20*25
     lowercase_							,						lowercase_			:       Union[str, Any]									=			matrix_chain_order(_UpperCAmelCase   )

     print('No. of Operation required: ' + str(matrix[1][n - 1]   )   )
     print_optiomal_solution(_UpperCAmelCase  ,    1  ,    n - 1   )


if __name__ == "__main__":
       main()


"""simple docstring"""







import unittest

import numpy as np

from transformers import DistilBertConfig, is_flax_available
from transformers.testing_utils import require_flax, slow

from ...test_modeling_flax_common import FlaxModelTesterMixin, ids_tensor, random_attention_mask


if is_flax_available():
       import jax.numpy as jnp

       from transformers.models.distilbert.modeling_flax_distilbert import (
           FlaxDistilBertForMaskedLM,
           FlaxDistilBertForMultipleChoice,
           FlaxDistilBertForQuestionAnswering,
           FlaxDistilBertForSequenceClassification,
           FlaxDistilBertForTokenClassification,
           FlaxDistilBertModel,
       )







class  UpperCamelCase	(    unittest.TestCase						):
   def __init__(    self  ,__UpperCamelCase  ,__UpperCamelCase=13  ,__UpperCamelCase=7  ,__UpperCamelCase=True  ,__UpperCamelCase=True  ,__UpperCamelCase=True  ,__UpperCamelCase=True  ,__UpperCamelCase=99  ,__UpperCamelCase=32  ,__UpperCamelCase=5  ,__UpperCamelCase=4  ,__UpperCamelCase=37  ,__UpperCamelCase="gelu"  ,__UpperCamelCase=0.1  ,__UpperCamelCase=0.1  ,__UpperCamelCase=512  ,__UpperCamelCase=16  ,__UpperCamelCase=2  ,__UpperCamelCase=0.02  ,__UpperCamelCase=4  ,)			->   str:


        '''simple docstring'''


        lowercase_			:       str									=			parent
        lowercase_			:       List[str]									=			batch_size
        lowercase_			:       Optional[Any]									=			seq_length
        lowercase_			:       str									=			is_training
        lowercase_			:       Any									=			use_attention_mask
        lowercase_			:       int									=			use_token_type_ids
        lowercase_			:       Union[str, Any]									=			use_labels
        lowercase_			:       int									=			vocab_size
        lowercase_			:       Union[str, Any]									=			hidden_size
        lowercase_			:       Optional[int]									=			num_hidden_layers
        lowercase_			:       Dict									=			num_attention_heads
        lowercase_			:       Dict									=			intermediate_size
        lowercase_			:       str									=			hidden_act
        lowercase_			:       Union[str, Any]									=			hidden_dropout_prob
        lowercase_			:       Dict									=			attention_probs_dropout_prob
        lowercase_			:       Union[str, Any]									=			max_position_embeddings
        lowercase_			:       List[Any]									=			type_vocab_size
        lowercase_			:       str									=			type_sequence_label_size
        lowercase_			:       Optional[Any]									=			initializer_range
        lowercase_			:       Any									=			num_choices
   def     _UpperCAmelCase     (    self    )			->   List[Any]:


        '''simple docstring'''


        lowercase_			:       Optional[Any]									=			ids_tensor([self.batch_size, self.seq_length]  ,self.vocab_size    )

        lowercase_			:       List[Any]									=			None
        if self.use_attention_mask:
             lowercase_			:       Dict									=			random_attention_mask([self.batch_size, self.seq_length]    )

        lowercase_			:       Optional[Any]									=			DistilBertConfig(
            vocab_size=self.vocab_size  ,dim=self.hidden_size  ,n_layers=self.num_hidden_layers  ,n_heads=self.num_attention_heads  ,hidden_dim=self.intermediate_size  ,hidden_act=self.hidden_act  ,dropout=self.hidden_dropout_prob  ,attention_dropout=self.attention_probs_dropout_prob  ,max_position_embeddings=self.max_position_embeddings  ,initializer_range=self.initializer_range  ,tie_weights_=__UpperCamelCase  ,)

        return config, input_ids, attention_mask







   def     _UpperCAmelCase     (    self    )			->   Dict:


        '''simple docstring'''


        lowercase_			:       Any									=			self.prepare_config_and_inputs()
        lowercase_							,						lowercase_							,						lowercase_			:       str									=			config_and_inputs
        lowercase_			:       List[str]									=			{'input_ids': input_ids, 'attention_mask': attention_mask}
        return config, inputs_dict







@require_flax
class  UpperCamelCase	(    lowercase_		,   unittest.TestCase						):
   lowercase							=						(
       (
           FlaxDistilBertModel,
           FlaxDistilBertForMaskedLM,
           FlaxDistilBertForMultipleChoice,
           FlaxDistilBertForQuestionAnswering,
           FlaxDistilBertForSequenceClassification,
           FlaxDistilBertForTokenClassification,
           FlaxDistilBertForQuestionAnswering,
       )
       if is_flax_available()
       else ()
   )
   def     _UpperCAmelCase     (    self    )			->   List[Any]:


        '''simple docstring'''


        lowercase_			:       Optional[Any]									=			FlaxDistilBertModelTester(self    )







   @slow
   def     _UpperCAmelCase     (    self    )			->   List[str]:


        '''simple docstring'''


        for model_class_name in self.all_model_classes:
             lowercase_			:       Optional[int]									=			model_class_name.from_pretrained('distilbert-base-uncased'    )
             lowercase_			:       List[str]									=			model(np.ones((1, 1)    )    )
             self.assertIsNotNone(__UpperCamelCase    )







@require_flax
class  UpperCamelCase	(    unittest.TestCase						):
   @slow
   def     _UpperCAmelCase     (    self    )			->   str:


        '''simple docstring'''


        lowercase_			:       Optional[int]									=			FlaxDistilBertModel.from_pretrained('distilbert-base-uncased'    )
        lowercase_			:       Tuple									=			np.array([[0, 345, 232, 328, 740, 140, 1695, 69, 6078, 1588, 2]]    )
        lowercase_			:       Optional[int]									=			np.array([[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]    )
        lowercase_			:       Any									=			model(__UpperCamelCase  ,attention_mask=__UpperCamelCase    )[0]
        lowercase_			:       Tuple									=			(1, 11, 768)
        self.assertEqual(output.shape  ,__UpperCamelCase    )
        lowercase_			:       Union[str, Any]									=			np.array([[[-0.1639, 0.3299, 0.1648], [-0.1746, 0.3289, 0.1710], [-0.1884, 0.3357, 0.1810]]]    )

        self.assertTrue(jnp.allclose(output[:, 1:4, 1:4]  ,__UpperCamelCase  ,atol=1e-4    )    )

