






"""simple docstring"""





def   a    (     __UpperCAmelCase      :    list[int]      ,   __UpperCAmelCase      :    int  )    ->							bool:
						__magic_name__:	Optional[int]							=       len(__UpperCAmelCase  )
						__magic_name__:	str							=       [[False] * (required_sum + 1) for _ in range(arr_len + 1  )]

						# for each arr value, a sum of zero(0) can be formed by not taking any element
						# hence True/1
						for i in range(arr_len + 1  ):
												__magic_name__:	List[str]							=       True

						# sum is not zero and set is empty then false
						for i in range(1      ,   required_sum + 1  ):
												__magic_name__:	List[Any]							=       False

						for i in range(1      ,   arr_len + 1  ):
												for j in range(1      ,   required_sum + 1  ):
																		if arr[i - 1] > j:
																								__magic_name__:	Optional[int]							=       subset[i - 1][j]
																		if arr[i - 1] <= j:
																								__magic_name__:	Dict							=       subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

						return subset[arr_len][required_sum]


if __name__ == "__main__":
							import doctest

							doctest.testmod()







import os
import string
import sys


SCREAMING_SNAKE_CASE__					:     List[str]       =     1 << 8

SCREAMING_SNAKE_CASE__					:     str       =     {
    'tab': ord('\t'),
    'newline': ord('\r'),
    'esc': 27,
    'up': 65 + ARROW_KEY_FLAG,
    'down': 66 + ARROW_KEY_FLAG,
    'right': 67 + ARROW_KEY_FLAG,
    'left': 68 + ARROW_KEY_FLAG,
    'mod_int': 91,
    'undefined': sys.maxsize,
    'interrupt': 3,
    'insert': 50,
    'delete': 51,
    'pg_up': 53,
    'pg_down': 54,
}

SCREAMING_SNAKE_CASE__					:     List[str]       =     KEYMAP['up']
SCREAMING_SNAKE_CASE__					:     Optional[int]       =     KEYMAP['left']

if sys.platform == "win32":
 SCREAMING_SNAKE_CASE__					:     Union[str, Any]       =     []
 SCREAMING_SNAKE_CASE__					:     Dict       =     {
     b'\xe0H': KEYMAP['up'] - ARROW_KEY_FLAG,
     b'\x00H': KEYMAP['up'] - ARROW_KEY_FLAG,
     b'\xe0P': KEYMAP['down'] - ARROW_KEY_FLAG,
     b'\x00P': KEYMAP['down'] - ARROW_KEY_FLAG,
     b'\xe0M': KEYMAP['right'] - ARROW_KEY_FLAG,
     b'\x00M': KEYMAP['right'] - ARROW_KEY_FLAG,
     b'\xe0K': KEYMAP['left'] - ARROW_KEY_FLAG,
     b'\x00K': KEYMAP['left'] - ARROW_KEY_FLAG,
 }

for i in range(10):
 SCREAMING_SNAKE_CASE__					:     List[str]       =     ord(str(i))




def    a__    (		):
  if os.name == "nt":
    import msvcrt

    _UpperCAmelCase		:							int							=     """mbcs"""
    # Flush the keyboard buffer
    while msvcrt.kbhit():
      msvcrt.getch()
    if len(snake_case__     ) == 0:
      # Read the keystroke
      _UpperCAmelCase		:							Any							=     msvcrt.getch()

      # If it is a prefix char, get second part
      if ch in (b"\x00", b"\xe0"):
        _UpperCAmelCase		:							str							=     ch + msvcrt.getch()
        # Translate actual Win chars to bullet char types
        try:
          _UpperCAmelCase		:							Optional[int]							=     chr(WIN_KEYMAP[cha]     )
          WIN_CH_BUFFER.append(chr(KEYMAP["""mod_int"""]     )     )
          WIN_CH_BUFFER.append(snake_case__     )
          if ord(snake_case__     ) in (
              KEYMAP["insert"] - 1 << 9,
              KEYMAP["delete"] - 1 << 9,
              KEYMAP["pg_up"] - 1 << 9,
              KEYMAP["pg_down"] - 1 << 9,
          ):
            WIN_CH_BUFFER.append(chr(126     )     )
          _UpperCAmelCase		:							Any							=     chr(KEYMAP["""esc"""]     )
        except KeyError:
          _UpperCAmelCase		:							Optional[int]							=     cha[1]
      else:
        _UpperCAmelCase		:							Union[str, Any]							=     ch.decode(snake_case__     )
    else:
      _UpperCAmelCase		:							Optional[int]							=     WIN_CH_BUFFER.pop(0     )
  elif os.name == "posix":
    import termios
    import tty

    _UpperCAmelCase		:							List[str]							=     sys.stdin.fileno()
    _UpperCAmelCase		:							Optional[Any]							=     termios.tcgetattr(snake_case__     )
    try:
      tty.setraw(snake_case__     )
      _UpperCAmelCase		:							Tuple							=     sys.stdin.read(1     )
    finally:
      termios.tcsetattr(snake_case__						,   termios.TCSADRAIN						,   snake_case__     )
  return ch





def    a__    (		):
  _UpperCAmelCase		:							int							=     get_raw_chars()
  if ord(snake_case__     ) in [KEYMAP["interrupt"], KEYMAP["newline"]]:
    return char

  elif ord(snake_case__     ) == KEYMAP["esc"]:
    _UpperCAmelCase		:							int							=     get_raw_chars()
    if ord(snake_case__     ) == KEYMAP["mod_int"]:
      _UpperCAmelCase		:							Optional[Any]							=     get_raw_chars()
      if ord(snake_case__     ) >= KEYMAP["arrow_begin"] - ARROW_KEY_FLAG and ord(snake_case__     ) <= KEYMAP["arrow_end"] - ARROW_KEY_FLAG:
        return chr(ord(snake_case__     ) + ARROW_KEY_FLAG     )
      else:
        return KEYMAP["undefined"]
    else:
      return get_raw_chars()

  else:
    if char in string.printable:
      return char
    else:
      return KEYMAP["undefined"]





