


import random




def     UpperCamelCase    (      _a       ,		_a		)					->							tuple:
     '''simple docstring'''





     lowercase_    ,      lowercase_    ,      lowercase_       :int     =       [], [], []
     for element in data:
          if element < pivot:
               less.append(_a		)
          elif element > pivot:
               greater.append(_a		)
          else:
               equal.append(_a		)
     return less, equal, greater




def     UpperCamelCase    (      _a       ,		_a		)					->							List[str]:
     '''simple docstring'''





     if index >= len(_a		) or index < 0:
          return None

     lowercase_       :Optional[Any]     =       items[random.randint(0       ,		len(_a		) - 1		)]
     lowercase_       :str     =       0
     lowercase_    ,      lowercase_    ,      lowercase_       :List[Any]     =       _partition(_a       ,		_a		)
     lowercase_       :Union[str, Any]     =       len(_a		)
     lowercase_       :List[Any]     =       len(_a		)

     # index is the pivot
     if m <= index < m + count:
          return pivot
     # must be in smaller
     elif m > index:
          return quick_select(_a       ,		_a		)
     # must be in larger
     else:
          return quick_select(_a       ,		index - (m + count)		)





def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     def count_of_possible_combinations(_a		) -> 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     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     def count_of_possible_combinations_with_dp_array(
         _a       ,		_a		) -> int:
          if target < 0:
               return 0
          if target == 0:
               return 1
          if dp_array[target] != -1:
               return dp_array[target]
          lowercase_       :Optional[int]     =       sum(
              count_of_possible_combinations_with_dp_array(target - item       ,		_a		)
              for item in array		)
          lowercase_       :List[Any]     =       answer
          return answer

     lowercase_       :Dict     =       [-1] * (target + 1)
     return count_of_possible_combinations_with_dp_array(_a       ,		_a		)




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     lowercase_       :Optional[int]     =       [0] * (target + 1)
     lowercase_       :int     =       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()
   SCREAMING_SNAKE_CASE       :		Optional[Any]         =				3
   SCREAMING_SNAKE_CASE       :		Tuple         =				5
   SCREAMING_SNAKE_CASE       :		List[Any]         =				[1, 2, 5]
   print(combination_sum_iv(n, array, target))

