
"""simple docstring"""

from unittest import TestCase

from datasets import Sequence, Value
from datasets.arrow_dataset import Dataset
class      _UpperCAmelCase							(		SCREAMING_SNAKE_CASE_							):




      def     a_      (							self							)						->					Tuple:
          return [
              {"col_1": 3, "col_2": "a"},
              {"col_1": 2, "col_2": "b"},
              {"col_1": 1, "col_2": "c"},
              {"col_1": 0, "col_2": "d"},
          ]




      def     a_      (							self							)						->					List[str]:
          UpperCAmelCase									=					{'col_1': [3, 2, 1, 0], 'col_2': ['a', 'b', 'c', 'd']}
          return Dataset.from_dict(lowercase_							)




      def     a_      (							self							)						->					Optional[Any]:
          UpperCAmelCase									=					self._create_example_records()
          UpperCAmelCase									=					Dataset.from_list(lowercase_							)
          self.assertListEqual(dset.column_names   ,       ['col_1', 'col_2']							)
          for i, r in enumerate(lowercase_							):
              self.assertDictEqual(lowercase_   ,       example_records[i]							)




      def     a_      (							self							)						->					Dict:
          UpperCAmelCase									=					self._create_example_records()
          UpperCAmelCase									=					Dataset.from_list(lowercase_							)
          UpperCAmelCase									=					Dataset.from_dict({k: [r[k] for r in example_records] for k in example_records[0]}							)
          self.assertEqual(dset.info   ,       dset_from_dict.info							)




      def     a_      (							self							)						->					int:  # checks what happens with missing columns
          UpperCAmelCase									=					[{'col_1': 1}, {'col_2': 'x'}]
          UpperCAmelCase									=					Dataset.from_list(lowercase_							)
          self.assertDictEqual(dset[0]   ,       {'col_1': 1}							)
          self.assertDictEqual(dset[1]   ,       {'col_1': None}							)  # NB: first record is used for columns




      def     a_      (							self							)						->					Any:  # checks if the type can be inferred from the second record
          UpperCAmelCase									=					[{'col_1': []}, {'col_1': [1, 2]}]
          UpperCAmelCase									=					Dataset.from_list(lowercase_							)
          self.assertEqual(dset.info.features['col_1']   ,       Sequence(Value('int64'							)							)							)




      def     a_      (							self							)						->					Any:
          UpperCAmelCase									=					Dataset.from_list([]							)
          self.assertEqual(len(lowercase_							)   ,       0							)
          self.assertListEqual(dset.column_names   ,       []							)





"""simple docstring"""

def     lowercase__						(					lowerCAmelCase				:					int ,				lowerCAmelCase				:					list ) ->      int:






    """simple docstring"""




    _enforce_args(lowerCAmelCase ,				lowerCAmelCase )
    if n == 0:
        return 0
    UpperCAmelCase									=					float('-inf' )
    for i in range(1 ,				n + 1 ):
        UpperCAmelCase									=					max(
            lowerCAmelCase ,				prices[i - 1] + naive_cut_rod_recursive(n - i ,				lowerCAmelCase ) )

    return max_revue




def     lowercase__						(					lowerCAmelCase				:					int ,				lowerCAmelCase				:					list ) ->      Dict:






    """simple docstring"""




    _enforce_args(lowerCAmelCase ,				lowerCAmelCase )
    UpperCAmelCase									=					[float('-inf' ) for _ in range(n + 1 )]
    return _top_down_cut_rod_recursive(lowerCAmelCase ,				lowerCAmelCase ,				lowerCAmelCase )




def     lowercase__						(					lowerCAmelCase				:					int ,				lowerCAmelCase				:					list ,				lowerCAmelCase				:					list ) ->      int:






    """simple docstring"""




    if max_rev[n] >= 0:
        return max_rev[n]
    elif n == 0:
        return 0
    else:
        UpperCAmelCase									=					float('-inf' )
        for i in range(1 ,				n + 1 ):
            UpperCAmelCase									=					max(
                lowerCAmelCase ,				prices[i - 1] + _top_down_cut_rod_recursive(n - i ,				lowerCAmelCase ,				lowerCAmelCase ) ,				)

        UpperCAmelCase									=					max_revenue

    return max_rev[n]




def     lowercase__						(					lowerCAmelCase				:					int ,				lowerCAmelCase				:					list ) ->      Optional[int]:






    """simple docstring"""




    _enforce_args(lowerCAmelCase ,				lowerCAmelCase )

    # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
    # length 0.
    UpperCAmelCase									=					[float('-inf' ) for _ in range(n + 1 )]
    UpperCAmelCase									=					0

    for i in range(1 ,				n + 1 ):
        UpperCAmelCase									=					max_rev[i]
        for j in range(1 ,				i + 1 ):
            UpperCAmelCase									=					max(lowerCAmelCase ,				prices[j - 1] + max_rev[i - j] )

        UpperCAmelCase									=					max_revenue_i

    return max_rev[n]




def     lowercase__						(					lowerCAmelCase				:					int ,				lowerCAmelCase				:					list ) ->      Union[str, Any]:






    """simple docstring"""




    if n < 0:
        UpperCAmelCase									=					F"n must be greater than or equal to 0. Got n = {n}"
        raise ValueError(lowerCAmelCase )

    if n > len(lowerCAmelCase ):
        UpperCAmelCase									=					(
            'Each integral piece of rod must have a corresponding price. '
            F"Got n = {n} but length of prices = {len(lowerCAmelCase )}"
        )
        raise ValueError(lowerCAmelCase )




def     lowercase__						(					) ->      Optional[int]:






    """simple docstring"""




    UpperCAmelCase									=					[6, 10, 12, 15, 20, 23]
    UpperCAmelCase									=					len(lowerCAmelCase )

    # the best revenue comes from cutting the rod into 6 pieces, each
    # of length 1 resulting in a revenue of 6 * 6 = 36.
    UpperCAmelCase									=					36

    UpperCAmelCase									=					top_down_cut_rod(lowerCAmelCase ,				lowerCAmelCase )
    UpperCAmelCase									=					bottom_up_cut_rod(lowerCAmelCase ,				lowerCAmelCase )
    UpperCAmelCase									=					naive_cut_rod_recursive(lowerCAmelCase ,				lowerCAmelCase )

    assert expected_max_revenue == max_rev_top_down
    assert max_rev_top_down == max_rev_bottom_up
    assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
   main()



