
import itertools
import string
from collections.abc import Generator, Iterable







def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   Generator[tuple[str, ...], None, None]:
       lowercase							:					Dict	     =				iter(SCREAMING_SNAKE_CASE__    )
       while True:
              lowercase							:					str	     =				tuple(itertools.islice(SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )    )
              if not chunk:
                     return
              yield chunk







def 						_snake_case(  SCREAMING_SNAKE_CASE__    )			->   str:
       lowercase							:					Any	     =				"""""".join([c.upper() for c in dirty if c in string.ascii_letters]    )
       lowercase							:					int	     =				""""""

       if len(SCREAMING_SNAKE_CASE__    ) < 2:
              return dirty

       for i in range(len(SCREAMING_SNAKE_CASE__    ) - 1    ):
              clean += dirty[i]

              if dirty[i] == dirty[i + 1]:
                     clean += "X"

       clean += dirty[-1]

       if len(SCREAMING_SNAKE_CASE__    ) & 1:
              clean += "X"

       return clean







def 						_snake_case(  SCREAMING_SNAKE_CASE__    )			->   list[str]:
       # I and J are used interchangeably to allow
       # us to use a 5x5 table (25 letters)
       lowercase							:					int	     =				"""ABCDEFGHIKLMNOPQRSTUVWXYZ"""
       # we're using a list instead of a '2d' array because it makes the math
       # for setting up the table and doing the actual encoding/decoding simpler
       lowercase							:					Optional[Any]	     =				[]

       # copy key chars into the table if they are in `alphabet` ignoring duplicates
       for char in key.upper():
              if char not in table and char in alphabet:
                     table.append(SCREAMING_SNAKE_CASE__    )

    # fill the rest of the table in with the remaining alphabet chars
       for char in alphabet:
              if char not in table:
                     table.append(SCREAMING_SNAKE_CASE__    )

       return table







def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   str:
       lowercase							:					Dict	     =				generate_table(SCREAMING_SNAKE_CASE__    )
       lowercase							:					Optional[Any]	     =				prepare_input(SCREAMING_SNAKE_CASE__    )
       lowercase							:					str	     =				""""""

       # https://en.wikipedia.org/wiki/Playfair_cipher#Description
       for chara, chara in chunker(SCREAMING_SNAKE_CASE__ ,     2    ):
              lowercase     ,      lowercase							:					Any	     =				divmod(table.index(SCREAMING_SNAKE_CASE__    ) ,     5    )
              lowercase     ,      lowercase							:					Dict	     =				divmod(table.index(SCREAMING_SNAKE_CASE__    ) ,     5    )

              if rowa == rowa:
                     ciphertext += table[rowa * 5 + (cola + 1) % 5]
                     ciphertext += table[rowa * 5 + (cola + 1) % 5]
              elif cola == cola:
                     ciphertext += table[((rowa + 1) % 5) * 5 + cola]
                     ciphertext += table[((rowa + 1) % 5) * 5 + cola]
              else:  # rectangle
                     ciphertext += table[rowa * 5 + cola]
                     ciphertext += table[rowa * 5 + cola]

       return ciphertext







def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   str:
       lowercase							:					int	     =				generate_table(SCREAMING_SNAKE_CASE__    )
       lowercase							:					Any	     =				""""""

       # https://en.wikipedia.org/wiki/Playfair_cipher#Description
       for chara, chara in chunker(SCREAMING_SNAKE_CASE__ ,     2    ):
              lowercase     ,      lowercase							:					List[Any]	     =				divmod(table.index(SCREAMING_SNAKE_CASE__    ) ,     5    )
              lowercase     ,      lowercase							:					Union[str, Any]	     =				divmod(table.index(SCREAMING_SNAKE_CASE__    ) ,     5    )

              if rowa == rowa:
                     plaintext += table[rowa * 5 + (cola - 1) % 5]
                     plaintext += table[rowa * 5 + (cola - 1) % 5]
              elif cola == cola:
                     plaintext += table[((rowa - 1) % 5) * 5 + cola]
                     plaintext += table[((rowa - 1) % 5) * 5 + cola]
              else:  # rectangle
                     plaintext += table[rowa * 5 + cola]
                     plaintext += table[rowa * 5 + cola]

       return plaintext


def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   int:

       def count_of_possible_combinations(SCREAMING_SNAKE_CASE__    ) -> 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(SCREAMING_SNAKE_CASE__    )







def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   int:

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

       lowercase							:					int	     =				[-1] * (target + 1)
       return count_of_possible_combinations_with_dp_array(SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )







def 						_snake_case(  SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    )			->   int:
       lowercase							:					str	     =				[0] * (target + 1)
       lowercase							:					Tuple	     =				1

       for i in range(1 ,     target + 1    ):
              for j in range(SCREAMING_SNAKE_CASE__    ):
                     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  : Any						   =							3
  lowercase  : Optional[Any]						   =							5
  lowercase  : Tuple						   =							[1, 2, 5]
  print(combination_sum_iv(n, array, target))
