





from __future__ import annotations

import random
from collections.abc import Iterable
from typing import Any, Generic, TypeVar

lowercase_         =			TypeVar("""T""", bound=bool)


class  a_					(    Generic[T]	):

    '''simple docstring'''


    def __init__(		self			,		A	)		->       None:
        _SCREAMING_SNAKE_CASE     =      value
        _SCREAMING_SNAKE_CASE     =      None
        _SCREAMING_SNAKE_CASE     =      None


    @property
    def       snake_case_(		self	)		->       T:
        return self._value





    @staticmethod
    def       snake_case_(		A			,		A	)		->       RandomizedHeapNode[T] | None:
        if not roota:
            return roota

        if not roota:
            return roota

        if roota.value > roota.value:
            _SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE     =      roota, roota

        if random.choice([True, False]	):
            _SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE     =      roota.right, roota.left

        _SCREAMING_SNAKE_CASE     =      RandomizedHeapNode.merge(roota.left			,		A	)

        return roota




class  a_					(    Generic[T]	):

    '''simple docstring'''


    def __init__(		self			,		A = ()	)		->       None:
        _SCREAMING_SNAKE_CASE     =      None

        if data:
            for item in data:
                self.insert(A	)


    def       snake_case_(		self			,		A	)		->       None:
        _SCREAMING_SNAKE_CASE     =      RandomizedHeapNode.merge(self._root			,		RandomizedHeapNode(A	)	)


    def       snake_case_(		self	)		->       T | None:
        _SCREAMING_SNAKE_CASE     =      self.top()

        if self._root is None:
            return None

        _SCREAMING_SNAKE_CASE     =      RandomizedHeapNode.merge(self._root.left			,		self._root.right	)

        return result


    def       snake_case_(		self	)		->       T:
        if not self._root:
            raise IndexError("""Can't get top element for the empty heap."""	)
        return self._root.value


    def       snake_case_(		self	)		->       None:
        _SCREAMING_SNAKE_CASE     =      None


    def       snake_case_(		self	)		->       list[Any]:
        _SCREAMING_SNAKE_CASE     =      []
        while self:
            result.append(self.pop()	)

        return result





    def __bool__(		self	)		->       bool:
        return self._root is not None


if __name__ == "__main__":
      import doctest

      doctest.testmod()










'''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()



