





'''simple docstring'''

import torch
from torch import autograd


class  a_					(    autograd.Function	):

    '''simple docstring'''


    @staticmethod
    def       snake_case_(		A			,		A			,		A			,		A	)		->       List[Any]:
        _SCREAMING_SNAKE_CASE     =      inputs.numel()
        _SCREAMING_SNAKE_CASE     =      int(0.005 * nb_elems	) + 1
        if sigmoid:
            _SCREAMING_SNAKE_CASE     =      (torch.sigmoid(A	) > threshold).type(inputs.type()	)
        else:
            _SCREAMING_SNAKE_CASE     =      (inputs > threshold).type(inputs.type()	)
        if mask.sum() < nb_min:
            # We limit the pruning so that at least 0.5% (half a percent) of the weights are remaining
            _SCREAMING_SNAKE_CASE     =      inputs.flatten().kthvalue(max(nb_elems - nb_min			,		1	)	).values
            _SCREAMING_SNAKE_CASE     =      (inputs > k_threshold).type(inputs.type()	)
        return mask





    @staticmethod
    def       snake_case_(		A			,		A	)		->       str:
        return gradOutput, None, None




class  a_					(    autograd.Function	):

    '''simple docstring'''


    @staticmethod
    def       snake_case_(		A			,		A			,		A	)		->       Dict:
        _SCREAMING_SNAKE_CASE     =      inputs.clone()
        _SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE     =      inputs.flatten().sort(descending=A	)
        _SCREAMING_SNAKE_CASE     =      int(threshold * inputs.numel()	)

        # flat_out and mask access the same memory.
        _SCREAMING_SNAKE_CASE     =      mask.flatten()
        _SCREAMING_SNAKE_CASE     =      0
        _SCREAMING_SNAKE_CASE     =      1
        return mask





    @staticmethod
    def       snake_case_(		A			,		A	)		->       Any:
        return gradOutput, None




class  a_					(    snake_case_	):

    '''simple docstring'''


    @staticmethod
    def       snake_case_(		A			,		A	)		->       Union[str, Any]:
        _SCREAMING_SNAKE_CASE     =      inputs.clone()
        _SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE     =      inputs.abs().flatten().sort(descending=A	)
        _SCREAMING_SNAKE_CASE     =      int(threshold * inputs.numel()	)

        # flat_out and mask access the same memory.
        _SCREAMING_SNAKE_CASE     =      mask.flatten()
        _SCREAMING_SNAKE_CASE     =      0
        _SCREAMING_SNAKE_CASE     =      1
        return mask










'''simple docstring'''

def lowerCamelCase						(					__lowerCamelCase			:   int ,	__lowerCamelCase			:   int ,	__lowerCamelCase			:   int ,	__lowerCamelCase			:   int   )						->int:
    return len_board * len_board_column * row + column





def lowerCamelCase						(					__lowerCamelCase			:   list[list[str]] ,	__lowerCamelCase			:   str ,	__lowerCamelCase			:   int ,	__lowerCamelCase			:   int ,	__lowerCamelCase			:   int ,	__lowerCamelCase			:   set[int] ,	)						->bool:

    if board[row][column] != word[word_index]:
        return False

    if word_index == len(__lowerCamelCase   ) - 1:
        return True

    _SCREAMING_SNAKE_CASE     =      [(0, 1), (0, -1), (-1, 0), (1, 0)]
    _SCREAMING_SNAKE_CASE     =      len(__lowerCamelCase   )
    _SCREAMING_SNAKE_CASE     =      len(board[0]   )
    for direction in traverts_directions:
        _SCREAMING_SNAKE_CASE     =      row + direction[0]
        _SCREAMING_SNAKE_CASE     =      column + direction[1]
        if not (0 <= next_i < len_board and 0 <= next_j < len_board_column):
            continue

        _SCREAMING_SNAKE_CASE     =      get_point_key(__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase   )
        if key in visited_points_set:
            continue

        visited_points_set.add(__lowerCamelCase   )
        if exits_word(__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	word_index + 1 ,	__lowerCamelCase   ):
            return True

        visited_points_set.remove(__lowerCamelCase   )

    return False





def lowerCamelCase						(					__lowerCamelCase			:   list[list[str]] ,	__lowerCamelCase			:   str   )						->bool:
    _SCREAMING_SNAKE_CASE     =      (
        """The board should be a non empty matrix of single chars strings."""
    )

    _SCREAMING_SNAKE_CASE     =      len(__lowerCamelCase   )
    if not isinstance(__lowerCamelCase ,	__lowerCamelCase   ) or len(__lowerCamelCase   ) == 0:
        raise ValueError(__lowerCamelCase   )

    for row in board:
        if not isinstance(__lowerCamelCase ,	__lowerCamelCase   ) or len(__lowerCamelCase   ) == 0:
            raise ValueError(__lowerCamelCase   )

        for item in row:
            if not isinstance(__lowerCamelCase ,	__lowerCamelCase   ) or len(__lowerCamelCase   ) != 1:
                raise ValueError(__lowerCamelCase   )

    # Validate word
    if not isinstance(__lowerCamelCase ,	__lowerCamelCase   ) or len(__lowerCamelCase   ) == 0:
        raise ValueError(
            """The word parameter should be a string of length greater than 0."""   )

    _SCREAMING_SNAKE_CASE     =      len(board[0]   )
    for i in range(__lowerCamelCase   ):
        for j in range(__lowerCamelCase   ):
            if exits_word(
                __lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	0 ,	{get_point_key(__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase ,	__lowerCamelCase   )}   ):
                return True

    return False


if __name__ == "__main__":
      import doctest

      doctest.testmod()



