





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available


_lowerCAmelCase				:   Optional[int]						       =						{}

try:
 if not is_sentencepiece_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _lowerCAmelCase				:   Union[str, Any]						       =						['''BartphoTokenizer''']

if TYPE_CHECKING:
 try:
  if not is_sentencepiece_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_bartpho import BartphoTokenizer

else:
 import sys

 _lowerCAmelCase				:   str						       =						_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)







from collections import defaultdict


class        __magic_name__	:





     """simple docstring"""



     def __init__(				self							:int      ,   snake_case							:Dict      ,   snake_case							:Optional[Any]	):





        '''simple docstring'''




        A_       :					Optional[int]        =      total  # total no of tasks (N)

        # DP table will have a dimension of (2^M)*N
        # initially all values are set to -1
        A_       :					str        =      [
            [-1 for i in range(total + 1	)] for j in range(2 ** len(snake_case	)	)
        ]

        A_       :					Optional[int]        =      defaultdict(snake_case	)  # stores the list of persons for each task

        # final_mask is used to check if all persons are included by setting all bits
        # to 1
        A_       :					Dict        =      (1 << len(snake_case	)) - 1



     def     SCREAMING_SNAKE_CASE		(				self							:Union[str, Any]      ,   snake_case							:Union[str, Any]      ,   snake_case							:str	):





        '''simple docstring'''




        if mask == self.final_mask:
           return 1

        # if not everyone gets the task and no more tasks are available, return 0
        if task_no > self.total_tasks:
           return 0

        # if case already considered
        if self.dp[mask][task_no] != -1:
           return self.dp[mask][task_no]

        # Number of ways when we don't this task in the arrangement
        A_       :					Tuple        =      self.count_ways_until(snake_case      ,   task_no + 1	)

        # now assign the tasks one by one to all possible persons and recursively
        # assign for the remaining tasks.
        if task_no in self.task:
           for p in self.task[task_no]:
              # if p is already given a task
              if mask & (1 << p):
                 continue

              # assign this task to p and change the mask value. And recursively
              # assign tasks with the new mask value.
              total_ways_util += self.count_ways_until(mask | (1 << p)      ,   task_no + 1	)

        # save the value.
        A_       :					Any        =      total_ways_util

        return self.dp[mask][task_no]





     def     SCREAMING_SNAKE_CASE		(				self							:int      ,   snake_case							:List[str]	):





        '''simple docstring'''




        for i in range(len(snake_case	)	):
           for j in task_performed[i]:
              self.task[j].append(snake_case	)

        # call the function to fill the DP table, final answer is stored in dp[0][1]
        return self.count_ways_until(0      ,   1	)


if __name__ == "__main__":
 _lowerCAmelCase				:   Dict						       =						5  # total no of tasks (the value of N)

 # the list of tasks that can be done by M persons.
 _lowerCAmelCase				:   str						       =						[[1, 3, 4], [1, 2, 5], [3, 4]]
 print(
     AssignmentUsingBitmask(task_performed, total_tasks).count_no_of_ways(
         task_performed
     )
 )
