





'''simple docstring'''




def 	UpperCAmelCase_							(					__lowercase							:      int			,     __lowercase							:      Optional[int]       )		->       str:


     '''simple docstring'''



     _UpperCAmelCase     							=   0
     _UpperCAmelCase     							=   len(__lowercase       ) - 1

     while left <= right:
          # avoid divided by 0 during interpolation
          if sorted_collection[left] == sorted_collection[right]:
               if sorted_collection[left] == item:
                    return left
               else:
                    return None

          _UpperCAmelCase     							=   left + ((item - sorted_collection[left]) * (right - left)) // (
              sorted_collection[right] - sorted_collection[left]
          )

          # out of range check
          if point < 0 or point >= len(__lowercase       ):
               return None

          _UpperCAmelCase     							=   sorted_collection[point]
          if current_item == item:
               return point
          else:
               if point < left:
                    _UpperCAmelCase     							=   left
                    _UpperCAmelCase     							=   point
               elif point > right:
                    _UpperCAmelCase     							=   right
                    _UpperCAmelCase     							=   point
               else:
                    if item < current_item:
                         _UpperCAmelCase     							=   point - 1
                    else:
                         _UpperCAmelCase     							=   point + 1
     return None
def 	UpperCAmelCase_							(					__lowercase							:      Any			,     __lowercase							:      List[Any]			,     __lowercase							:      Dict			,     __lowercase							:      List[str]       )		->       Union[str, Any]:


     '''simple docstring'''



     if sorted_collection[left] == sorted_collection[right]:
          if sorted_collection[left] == item:
               return left
          else:
               return None

     _UpperCAmelCase     							=   left + ((item - sorted_collection[left]) * (right - left)) // (
         sorted_collection[right] - sorted_collection[left]
     )

     # out of range check
     if point < 0 or point >= len(__lowercase       ):
          return None

     if sorted_collection[point] == item:
          return point
     elif point < left:
          return interpolation_search_by_recursion(__lowercase			,     __lowercase			,     __lowercase			,     __lowercase       )
     elif point > right:
          return interpolation_search_by_recursion(__lowercase			,     __lowercase			,     __lowercase			,     __lowercase       )
     else:
          if sorted_collection[point] > item:
               return interpolation_search_by_recursion(
                   __lowercase			,     __lowercase			,     __lowercase			,     point - 1       )
          else:
               return interpolation_search_by_recursion(
                   __lowercase			,     __lowercase			,     point + 1			,     __lowercase       )
def 	UpperCAmelCase_							(					__lowercase							:      int       )		->       Tuple:


     '''simple docstring'''



     if collection != sorted(__lowercase       ):
          raise ValueError("Collection must be ascending sorted"       )
     return True


if __name__ == "__main__":
  import sys
  __SCREAMING_SNAKE_CASE     :Optional[int]       =				0
  if debug == 1:
    __SCREAMING_SNAKE_CASE     :Union[str, Any]       =				[10, 30, 40, 45, 50, 66, 77, 93]
    try:
      __assert_sorted(collection)
    except ValueError:
      sys.exit('''Sequence must be ascending sorted to apply interpolation search''')
    __SCREAMING_SNAKE_CASE     :int       =				67

  __SCREAMING_SNAKE_CASE     :Union[str, Any]       =				interpolation_search(collection, target)
  if result is not None:
    print(F"{target} found at positions: {result}")
  else:
    print('''Not found''')











'''simple docstring'''




import pytest

from datasets.utils.sharding import _distribute_shards, _number_of_shards_in_gen_kwargs, _split_gen_kwargs
@pytest.mark.parametrize(
    "kwargs, expected"			,     [
        ({"num_shards": 0, "max_num_jobs": 1}, []),
        ({"num_shards": 10, "max_num_jobs": 1}, [range(10       )]),
        ({"num_shards": 10, "max_num_jobs": 10}, [range(__lowercase			,     i + 1       ) for i in range(10       )]),
        ({"num_shards": 1, "max_num_jobs": 10}, [range(1       )]),
        ({"num_shards": 10, "max_num_jobs": 3}, [range(0			,     4       ), range(4			,     7       ), range(7			,     10       )]),
        ({"num_shards": 3, "max_num_jobs": 10}, [range(0			,     1       ), range(1			,     2       ), range(2			,     3       )]),
    ]			,     )
def 	UpperCAmelCase_							(					__lowercase							:      int			,     __lowercase							:      Dict       )		->       List[Any]:


     '''simple docstring'''



     _UpperCAmelCase     							=   _distribute_shards(**__lowercase       )
     assert out == expected
@pytest.mark.parametrize(
    "gen_kwargs, max_num_jobs, expected"			,     [
        ({"foo": 0}, 10, [{"foo": 0}]),
        ({"shards": [0, 1, 2, 3]}, 1, [{"shards": [0, 1, 2, 3]}]),
        ({"shards": [0, 1, 2, 3]}, 4, [{"shards": [0]}, {"shards": [1]}, {"shards": [2]}, {"shards": [3]}]),
        ({"shards": [0, 1]}, 4, [{"shards": [0]}, {"shards": [1]}]),
        ({"shards": [0, 1, 2, 3]}, 2, [{"shards": [0, 1]}, {"shards": [2, 3]}]),
    ]			,     )
def 	UpperCAmelCase_							(					__lowercase							:      Dict			,     __lowercase							:      Optional[Any]			,     __lowercase							:      int       )		->       str:


     '''simple docstring'''



     _UpperCAmelCase     							=   _split_gen_kwargs(__lowercase			,     __lowercase       )
     assert out == expected






@pytest.mark.parametrize(
    "gen_kwargs, expected"			,     [
        ({"foo": 0}, 1),
        ({"shards": [0]}, 1),
        ({"shards": [0, 1, 2, 3]}, 4),
        ({"shards": [0, 1, 2, 3], "foo": 0}, 4),
        ({"shards": [0, 1, 2, 3], "other": (0, 1)}, 4),
        ({"shards": [0, 1, 2, 3], "shards2": [0, 1]}, RuntimeError),
    ]			,     )
def 	UpperCAmelCase_							(					__lowercase							:      Optional[Any]			,     __lowercase							:      List[Any]       )		->       List[Any]:


     '''simple docstring'''



     if expected is RuntimeError:
          with pytest.raises(__lowercase       ):
               _number_of_shards_in_gen_kwargs(__lowercase       )
     else:
          _UpperCAmelCase     							=   _number_of_shards_in_gen_kwargs(__lowercase       )
          assert out == expected




