
"""simple docstring"""





from math import pow
def 							A_     (__a				,   __a				,   __a				,   __a				,   __a				,   ):

					'''simple docstring'''





					if current_sum == needed_sum:
										# If the sum of the powers is equal to needed_sum, then we have a solution.
										solutions_count += 1
										return current_sum, solutions_count

					A_				 =						int(pow(__a				,   __a				)				)
					if current_sum + i_to_n <= needed_sum:
										# If the sum of the powers is less than needed_sum, then continue adding powers.
										current_sum += i_to_n
										A_ ,    A_				 =						backtrack(
										    __a				,   __a				,   current_number + 1				,   __a				,   __a				)
										current_sum -= i_to_n
					if i_to_n < needed_sum:
										# If the power of i is less than needed_sum, then try with the next power.
										A_ ,    A_				 =						backtrack(
										    __a				,   __a				,   current_number + 1				,   __a				,   __a				)
					return current_sum, solutions_count
def 							A_     (__a				,   __a				):

					'''simple docstring'''





					if not (1 <= needed_sum <= 1000 and 2 <= power <= 10):
										raise ValueError(
										    "Invalid input\n"
										    "needed_sum must be between 1 and 1000, power between 2 and 10."				)

					return backtrack(__a				,   __a				,   1				,   0				,   0				)[1]  # Return the solutions_count


if __name__ == "__main__":
		import doctest

		doctest.testmod()






"""simple docstring"""





# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCamelCase_					:						str				= {'''configuration_timm_backbone''': ['''TimmBackboneConfig''']}


try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		UpperCamelCase_					:						Union[str, Any]				= ['''TimmBackbone''']


if TYPE_CHECKING:
		from .configuration_timm_backbone import TimmBackboneConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_timm_backbone import TimmBackbone

else:
		import sys

		UpperCamelCase_					:						List[Any]				= _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




