


def 		_A		(		_lowercase					,  _lowercase					,  _lowercase )					-> int:


     """simple docstring"""


     def count_of_possible_combinations(_lowercase ) -> 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(_lowercase )






def 		_A		(		_lowercase					,  _lowercase					,  _lowercase )					-> int:


     """simple docstring"""


     def count_of_possible_combinations_with_dp_array(
         _lowercase					,  _lowercase ) -> 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					,  _lowercase )
              for item in array )
          __UpperCamelCase =			answer
          return answer

     __UpperCamelCase =			[-1] * (target + 1)
     return count_of_possible_combinations_with_dp_array(_lowercase					,  _lowercase )






def 		_A		(		_lowercase					,  _lowercase					,  _lowercase )					-> int:


     """simple docstring"""


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

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

     return dp_array[target]


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    __snake_case   							=						3
    __snake_case   							=						5
    __snake_case   							=						[1, 2, 5]
    print(combination_sum_iv(n, array, target))






from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case   							=						{
    '''configuration_autoformer''': [
        '''AUTOFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''AutoformerConfig''',
    ],
}

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __snake_case   							=						[
        '''AUTOFORMER_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''AutoformerForPrediction''',
        '''AutoformerModel''',
        '''AutoformerPreTrainedModel''',
    ]


if TYPE_CHECKING:
    from .configuration_autoformer import (
        AUTOFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
        AutoformerConfig,
    )

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_autoformer import (
            AUTOFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
            AutoformerForPrediction,
            AutoformerModel,
            AutoformerPreTrainedModel,
        )

else:
    import sys

    __snake_case   							=						_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


