


def 			lowerCAmelCase__					(     a__:						int     ,    a__:						list[int]     ,    a__:						int			)    ->						int:


							'''simple docstring'''





							def count_of_possible_combinations(a__:						int			) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														return sum(count_of_possible_combinations(target - item			) for item in array			)

							return count_of_possible_combinations(a__			)

def 			lowerCAmelCase__					(     a__:						int     ,    a__:						list[int]     ,    a__:						int			)    ->						int:


							'''simple docstring'''





							def count_of_possible_combinations_with_dp_array(
							    a__:						int     ,    a__:						list[int]			) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														if dp_array[target] != -1:
																					return dp_array[target]
														_UpperCAmelCase											=     sum(
														    count_of_possible_combinations_with_dp_array(target - item     ,    a__			)
														    for item in array			)
														_UpperCAmelCase											=     answer
														return answer

							_UpperCAmelCase											=     [-1] * (target + 1)
							return count_of_possible_combinations_with_dp_array(a__     ,    a__			)

def 			lowerCAmelCase__					(     a__:						int     ,    a__:						list[int]     ,    a__:						int			)    ->						int:


							'''simple docstring'''





							_UpperCAmelCase											=     [0] * (target + 1)
							_UpperCAmelCase											=     1

							for i in range(1     ,    target + 1			):
														for j in range(a__			):
																					if i - array[j] >= 0:
																												dp_array[i] += dp_array[i - array[j]]

							return dp_array[target]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		lowerCAmelCase__    :Any       =				3
		lowerCAmelCase__    :Optional[int]       =				5
		lowerCAmelCase__    :Optional[Any]       =				[1, 2, 5]
		print(combination_sum_iv(n, array, target))




import os
import tempfile
import unittest
from pathlib import Path

from transformers import AutoConfig, is_tf_available
from transformers.testing_utils import require_tf


if is_tf_available():
		import tensorflow as tf

		from transformers import TensorFlowBenchmark, TensorFlowBenchmarkArguments

@require_tf
class 						__a (							unittest.TestCase     ):
		def       UpperCAmelCase__							(     self     ,       _SCREAMING_SNAKE_CASE		)					->			List[str]:




									"""simple docstring"""





									for model_result in results.values():
																for batch_size, sequence_length in zip(model_result['bs']     ,       model_result['ss']		):
																							_UpperCAmelCase											=     model_result['result'][batch_size][sequence_length]
																							self.assertIsNotNone(_SCREAMING_SNAKE_CASE		)
		def       UpperCAmelCase__							(     self		)					->			Optional[int]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       eager_mode=_SCREAMING_SNAKE_CASE     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			int:




									"""simple docstring"""





									_UpperCAmelCase											=     'sgugger/tiny-distilbert-classification'
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       only_pretrain_model=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			List[Any]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			List[Any]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       eager_mode=_SCREAMING_SNAKE_CASE     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE     ,       [config]		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			List[Any]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE     ,       [config]		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			List[Any]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_train_result		)
									self.check_results_dict_not_empty(results.memory_train_result		)
		def       UpperCAmelCase__							(     self		)					->			List[Any]:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE     ,       [config]		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_train_result		)
									self.check_results_dict_not_empty(results.memory_train_result		)
		def       UpperCAmelCase__							(     self		)					->			Any:




									"""simple docstring"""





									_UpperCAmelCase											=     'patrickvonplaten/t5-tiny-random'
									_UpperCAmelCase											=     AutoConfig.from_pretrained(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE     ,       configs=[config]		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		@unittest.skipIf(is_tf_available() and len(tf.config.list_physical_devices('GPU'		)		) == 0     ,       'Cannot do xla on CPU.'		)
		def       UpperCAmelCase__							(     self		)					->			int:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
									    models=[MODEL_ID]     ,       training=_SCREAMING_SNAKE_CASE     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       use_xla=_SCREAMING_SNAKE_CASE     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
									_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
									_UpperCAmelCase											=     benchmark.run()
									self.check_results_dict_not_empty(results.time_inference_result		)
									self.check_results_dict_not_empty(results.memory_inference_result		)
		def       UpperCAmelCase__							(     self		)					->			str:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'
									with tempfile.TemporaryDirectory() as tmp_dir:
																_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
																    models=[MODEL_ID]     ,       inference=_SCREAMING_SNAKE_CASE     ,       save_to_csv=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       inference_time_csv_file=os.path.join(_SCREAMING_SNAKE_CASE     ,       'inf_time.csv'		)     ,       inference_memory_csv_file=os.path.join(_SCREAMING_SNAKE_CASE     ,       'inf_mem.csv'		)     ,       env_info_csv_file=os.path.join(_SCREAMING_SNAKE_CASE     ,       'env.csv'		)     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
																_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
																benchmark.run()
																self.assertTrue(Path(os.path.join(_SCREAMING_SNAKE_CASE     ,       'inf_time.csv'		)		).exists()		)
																self.assertTrue(Path(os.path.join(_SCREAMING_SNAKE_CASE     ,       'inf_mem.csv'		)		).exists()		)
																self.assertTrue(Path(os.path.join(_SCREAMING_SNAKE_CASE     ,       'env.csv'		)		).exists()		)






		def       UpperCAmelCase__							(     self		)					->			Tuple:




									"""simple docstring"""





									_UpperCAmelCase											=     'sshleifer/tiny-gpt2'

									def _check_summary_is_not_empty(_SCREAMING_SNAKE_CASE		):
																self.assertTrue(hasattr(_SCREAMING_SNAKE_CASE     ,       'sequential'		)		)
																self.assertTrue(hasattr(_SCREAMING_SNAKE_CASE     ,       'cumulative'		)		)
																self.assertTrue(hasattr(_SCREAMING_SNAKE_CASE     ,       'current'		)		)
																self.assertTrue(hasattr(_SCREAMING_SNAKE_CASE     ,       'total'		)		)

									with tempfile.TemporaryDirectory() as tmp_dir:
																_UpperCAmelCase											=     TensorFlowBenchmarkArguments(
																    models=[MODEL_ID]     ,       inference=_SCREAMING_SNAKE_CASE     ,       sequence_lengths=[8]     ,       batch_sizes=[1]     ,       log_filename=os.path.join(_SCREAMING_SNAKE_CASE     ,       'log.txt'		)     ,       log_print=_SCREAMING_SNAKE_CASE     ,       trace_memory_line_by_line=_SCREAMING_SNAKE_CASE     ,       eager_mode=_SCREAMING_SNAKE_CASE     ,       multi_process=_SCREAMING_SNAKE_CASE     ,       )
																_UpperCAmelCase											=     TensorFlowBenchmark(_SCREAMING_SNAKE_CASE		)
																_UpperCAmelCase											=     benchmark.run()
																_check_summary_is_not_empty(result.inference_summary		)
																self.assertTrue(Path(os.path.join(_SCREAMING_SNAKE_CASE     ,       'log.txt'		)		).exists()		)
