


from __future__ import annotations

import math






class     UpperCAmelCase__       :



    """simple docstring"""






    def __init__(			self					,   A_    )  ->       None:
         __UpperCamelCase    							=size
         # approximate the overall size of segment tree with given value
         __UpperCamelCase    							=[0 for i in range(0					,   4 * size    )]
         # create array to store lazy update
         __UpperCamelCase    							=[0 for i in range(0					,   4 * size    )]
         __UpperCamelCase    							=[0 for i in range(0					,   4 * size    )]  # flag for lazy update






    def _a					(			self					,   A_    )  ->       int:
         return idx * 2






    def _a					(			self					,   A_    )  ->       int:
         return idx * 2 + 1






    def _a					(			self					,   A_					,   A_					,   A_					,   A_    )  ->       None:
         if left_element == right_element:
              __UpperCamelCase    							=a[left_element - 1]
         else:
              __UpperCamelCase    							=(left_element + right_element) // 2
              self.build(self.left(A_    )					,   A_					,   A_					,   A_    )
              self.build(self.right(A_    )					,   mid + 1					,   A_					,   A_    )
              __UpperCamelCase    							=max(
                  self.segment_tree[self.left(A_    )]					,   self.segment_tree[self.right(A_    )]    )






    def _a					(			self					,   A_					,   A_					,   A_					,   A_					,   A_					,   A_    )  ->       bool:
         if self.flag[idx] is True:
              __UpperCamelCase    							=self.lazy[idx]
              __UpperCamelCase    							=False
              if left_element != right_element:
                   __UpperCamelCase    							=self.lazy[idx]
                   __UpperCamelCase    							=self.lazy[idx]
                   __UpperCamelCase    							=True
                   __UpperCamelCase    							=True

         if right_element < a or left_element > b:
              return True
         if left_element >= a and right_element <= b:
              __UpperCamelCase    							=val
              if left_element != right_element:
                   __UpperCamelCase    							=val
                   __UpperCamelCase    							=val
                   __UpperCamelCase    							=True
                   __UpperCamelCase    							=True
              return True
         __UpperCamelCase    							=(left_element + right_element) // 2
         self.update(self.left(A_    )					,   A_					,   A_					,   A_					,   A_					,   A_    )
         self.update(self.right(A_    )					,   mid + 1					,   A_					,   A_					,   A_					,   A_    )
         __UpperCamelCase    							=max(
             self.segment_tree[self.left(A_    )]					,   self.segment_tree[self.right(A_    )]    )
         return True






    def _a					(			self					,   A_					,   A_					,   A_					,   A_					,   A_    )  ->       int | float:
         if self.flag[idx] is True:
              __UpperCamelCase    							=self.lazy[idx]
              __UpperCamelCase    							=False
              if left_element != right_element:
                   __UpperCamelCase    							=self.lazy[idx]
                   __UpperCamelCase    							=self.lazy[idx]
                   __UpperCamelCase    							=True
                   __UpperCamelCase    							=True
         if right_element < a or left_element > b:
              return -math.inf
         if left_element >= a and right_element <= b:
              return self.segment_tree[idx]
         __UpperCamelCase    							=(left_element + right_element) // 2
         __UpperCamelCase    							=self.query(self.left(A_    )					,   A_					,   A_					,   A_					,   A_    )
         __UpperCamelCase    							=self.query(self.right(A_    )					,   mid + 1					,   A_					,   A_					,   A_    )
         return max(A_					,   A_    )






    def __str__(			self    )  ->       str:
         return str([self.query(1					,   1					,   self.size					,   A_					,   A_    ) for i in range(1					,   self.size + 1    )]    )


if __name__ == "__main__":
   _A		       =						[1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
   _A		       =						15
   _A		       =						SegmentTree(size)
   segt.build(1, 1, size, A)
   print(segt.query(1, 1, size, 4, 6))
   print(segt.query(1, 1, size, 7, 11))
   print(segt.query(1, 1, size, 7, 12))
   segt.update(1, 1, size, 1, 3, 111)
   print(segt.query(1, 1, size, 1, 15))
   segt.update(1, 1, size, 7, 8, 235)
   print(segt)







import tempfile
import unittest

import numpy as np
from huggingface_hub import HfFolder, delete_repo
from requests.exceptions import HTTPError

from transformers import BertConfig, is_flax_available
from transformers.testing_utils import TOKEN, USER, is_staging_test, require_flax


if is_flax_available():
					import os

					from flax.core.frozen_dict import unfreeze
					from flax.traverse_util import flatten_dict

					from transformers import FlaxBertModel

					A     :	int    = '0.12'  # assumed parallelism: 8







@require_flax
@is_staging_test
class 			__A( unittest.TestCase			):




				@classmethod
				def 				SCREAMING_SNAKE_CASE_		(     cls				)    ->      Union[str, Any]:


								'''simple docstring'''




								__a										=    TOKEN
								HfFolder.save_token(_snake_case				)




				@classmethod
				def 				SCREAMING_SNAKE_CASE_		(     cls				)    ->      Union[str, Any]:


								'''simple docstring'''




								try:
												delete_repo(token=cls._token		,     repo_id='''test-model-flax'''				)
								except HTTPError:
												pass

								try:
												delete_repo(token=cls._token		,     repo_id='''valid_org/test-model-flax-org'''				)
								except HTTPError:
												pass




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Optional[Any]:


								'''simple docstring'''




								__a										=    BertConfig(
								    vocab_size=99		,     hidden_size=32		,     num_hidden_layers=5		,     num_attention_heads=4		,     intermediate_size=37				)
								__a										=    FlaxBertModel(_snake_case				)
								model.push_to_hub('''test-model-flax'''		,     use_auth_token=self._token				)

								__a										=    FlaxBertModel.from_pretrained(F"""{USER}/test-model-flax"""				)

								__a										=    flatten_dict(unfreeze(model.params				)				)
								__a										=    flatten_dict(unfreeze(new_model.params				)				)

								for key in base_params.keys():
												__a										=    (base_params[key] - new_params[key]).sum().item()
												self.assertLessEqual(_snake_case		,     1E-3		,     msg=F"""{key} not identical"""				)

								# Reset repo
								delete_repo(token=self._token		,     repo_id='''test-model-flax'''				)

								# Push to hub via save_pretrained
								with tempfile.TemporaryDirectory() as tmp_dir:
												model.save_pretrained(_snake_case		,     repo_id='''test-model-flax'''		,     push_to_hub=_snake_case		,     use_auth_token=self._token				)

								__a										=    FlaxBertModel.from_pretrained(F"""{USER}/test-model-flax"""				)

								__a										=    flatten_dict(unfreeze(model.params				)				)
								__a										=    flatten_dict(unfreeze(new_model.params				)				)

								for key in base_params.keys():
												__a										=    (base_params[key] - new_params[key]).sum().item()
												self.assertLessEqual(_snake_case		,     1E-3		,     msg=F"""{key} not identical"""				)




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Optional[int]:


								'''simple docstring'''




								__a										=    BertConfig(
								    vocab_size=99		,     hidden_size=32		,     num_hidden_layers=5		,     num_attention_heads=4		,     intermediate_size=37				)
								__a										=    FlaxBertModel(_snake_case				)
								model.push_to_hub('''valid_org/test-model-flax-org'''		,     use_auth_token=self._token				)

								__a										=    FlaxBertModel.from_pretrained('''valid_org/test-model-flax-org'''				)

								__a										=    flatten_dict(unfreeze(model.params				)				)
								__a										=    flatten_dict(unfreeze(new_model.params				)				)

								for key in base_params.keys():
												__a										=    (base_params[key] - new_params[key]).sum().item()
												self.assertLessEqual(_snake_case		,     1E-3		,     msg=F"""{key} not identical"""				)

								# Reset repo
								delete_repo(token=self._token		,     repo_id='''valid_org/test-model-flax-org'''				)

								# Push to hub via save_pretrained
								with tempfile.TemporaryDirectory() as tmp_dir:
												model.save_pretrained(
												    _snake_case		,     repo_id='''valid_org/test-model-flax-org'''		,     push_to_hub=_snake_case		,     use_auth_token=self._token				)

								__a										=    FlaxBertModel.from_pretrained('''valid_org/test-model-flax-org'''				)

								__a										=    flatten_dict(unfreeze(model.params				)				)
								__a										=    flatten_dict(unfreeze(new_model.params				)				)

								for key in base_params.keys():
												__a										=    (base_params[key] - new_params[key]).sum().item()
												self.assertLessEqual(_snake_case		,     1E-3		,     msg=F"""{key} not identical"""				)



def     __lowerCAmelCase			(			a__						,    a__  )       ->  str:
				__a										=    True
				__a										=    flatten_dict(modela.params  )
				__a										=    flatten_dict(modela.params  )
				for key in flat_params_a.keys():
								if np.sum(np.abs(flat_params_a[key] - flat_params_a[key]  )  ) > 1e-4:
												__a										=    False

				return models_are_equal







@require_flax
class 			__A( unittest.TestCase			):




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Union[str, Any]:


								'''simple docstring'''




								__a										=    BertConfig.from_pretrained('''hf-internal-testing/tiny-bert-flax-only'''				)
								__a										=    FlaxBertModel(_snake_case				)

								__a										=    '''bert'''
								with tempfile.TemporaryDirectory() as tmp_dir:
												model.save_pretrained(os.path.join(_snake_case		,     _snake_case				)				)

												with self.assertRaises(_snake_case				):
																__a										=    FlaxBertModel.from_pretrained(_snake_case				)

												__a										=    FlaxBertModel.from_pretrained(_snake_case		,     subfolder=_snake_case				)

								self.assertTrue(check_models_equal(_snake_case		,     _snake_case				)				)




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Optional[Any]:


								'''simple docstring'''




								__a										=    BertConfig.from_pretrained('''hf-internal-testing/tiny-bert-flax-only'''				)
								__a										=    FlaxBertModel(_snake_case				)

								__a										=    '''bert'''
								with tempfile.TemporaryDirectory() as tmp_dir:
												model.save_pretrained(os.path.join(_snake_case		,     _snake_case				)		,     max_shard_size='''10KB'''				)

												with self.assertRaises(_snake_case				):
																__a										=    FlaxBertModel.from_pretrained(_snake_case				)

												__a										=    FlaxBertModel.from_pretrained(_snake_case		,     subfolder=_snake_case				)

								self.assertTrue(check_models_equal(_snake_case		,     _snake_case				)				)




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      int:


								'''simple docstring'''




								__a										=    '''bert'''
								__a										=    '''hf-internal-testing/tiny-random-bert-subfolder'''

								with self.assertRaises(_snake_case				):
												__a										=    FlaxBertModel.from_pretrained(_snake_case				)

								__a										=    FlaxBertModel.from_pretrained(_snake_case		,     subfolder=_snake_case				)

								self.assertIsNotNone(_snake_case				)




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Optional[int]:


								'''simple docstring'''




								__a										=    '''bert'''
								__a										=    '''hf-internal-testing/tiny-random-bert-sharded-subfolder'''
								with self.assertRaises(_snake_case				):
												__a										=    FlaxBertModel.from_pretrained(_snake_case				)

								__a										=    FlaxBertModel.from_pretrained(_snake_case		,     subfolder=_snake_case				)

								self.assertIsNotNone(_snake_case				)