


'''simple docstring'''






import math





def lowerCamelCase__      (						__lowerCamelCase	:							list	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   _UpperCAmelCase       :       List[str]							   =len(__lowerCamelCase							)
   _UpperCAmelCase       :       Tuple							   =int(math.floor(math.sqrt(__lowerCamelCase							)							)							)
   _UpperCAmelCase       :       str							   =0
   while arr[min(__lowerCamelCase	,   __lowerCamelCase							) - 1] < x:
      _UpperCAmelCase       :       Dict							   =step
      step += int(math.floor(math.sqrt(__lowerCamelCase							)							)							)
      if prev >= n:
         return -1

   while arr[prev] < x:
      _UpperCAmelCase       :       Tuple							   =prev + 1
      if prev == min(__lowerCamelCase	,   __lowerCamelCase							):
         return -1
   if arr[prev] == x:
      return prev
   return -1


if __name__ == "__main__":
 lowercase							=input('Enter numbers separated by a comma:\n').strip()
 lowercase							=[int(item) for item in user_input.split(',')]
 lowercase							=int(input('Enter the number to be searched:\n'))
 lowercase							=jump_search(arr, x)
 if res == -1:
  print('Number not found!')
 else:
  print(F"""Number {x} is at index {res}""")





'''simple docstring'''






def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   def count_of_possible_combinations(__lowerCamelCase	:							int							) -> 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(__lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




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

   _UpperCAmelCase       :       int							   =[-1] * (target + 1)
   return count_of_possible_combinations_with_dp_array(__lowerCamelCase	,   __lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   _UpperCAmelCase       :       Tuple							   =[0] * (target + 1)
   _UpperCAmelCase       :       Dict							   =1

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

   return dp_array[target]


if __name__ == "__main__":
 import doctest

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

