



'''simple docstring'''




from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap






@total_ordering
class 						_UpperCamelCase  :


			'''simple docstring'''

			def __init__(							self					:			str							,					lowerCAmelCase__					:			str							,					lowerCAmelCase__					:			int						):





					"""simple docstring"""






					__SCREAMING_SNAKE_CASE	:		Dict   	=		word
					__SCREAMING_SNAKE_CASE	:		int   	=		count

			def __eq__(							self					:			Optional[int]							,					lowerCAmelCase__					:			object						):





					"""simple docstring"""






					if not isinstance(_lowerCamelCase							,					_lowerCamelCase						):
							return NotImplemented
					return self.count == other.count



			def __lt__(							self					:			Optional[Any]							,					lowerCAmelCase__					:			object						):





					"""simple docstring"""






					if not isinstance(_lowerCamelCase							,					_lowerCamelCase						):
							return NotImplemented
					return self.count < other.count


def     lowerCAmelCase_       (     _lowerCamelCase:       Any	,				_lowerCamelCase:       Union[str, Any] ):
		__SCREAMING_SNAKE_CASE	:		Dict   	=		Heap()
		__SCREAMING_SNAKE_CASE	:		List[Any]   	=		Counter(__UpperCamelCase )
		heap.build_max_heap(
		    [WordCount(__UpperCamelCase	,				__UpperCamelCase ) for word, count in count_by_word.items()] )
		return [heap.extract_max().word for _ in range(min(__UpperCamelCase	,				len(__UpperCamelCase ) ) )]


if __name__ == "__main__":
						import doctest

						doctest.testmod()




'''simple docstring'''




UpperCamelCase__	:     List[Any]    =			10_00


def     lowerCAmelCase_       (     _lowerCamelCase:       float ):
		return x * x


def     lowerCAmelCase_       (     _lowerCamelCase:       Any	,				_lowerCamelCase:       float	,				_lowerCamelCase:       float	,				_lowerCamelCase:       int = 4 ):
		assert callable(
		    _lowerCamelCase ), F"the function(object) passed should be callable your input : {function}"
		assert isinstance(_lowerCamelCase	,				(float, int) ), F"a should be float or integer your input : {a}"
		assert isinstance(function(_lowerCamelCase )	,				(float, int) ), (
		    "the function should return integer or float return type of your function, "
		    F"{type(_lowerCamelCase )}"
		)
		assert isinstance(_lowerCamelCase	,				(float, int) ), F"b should be float or integer your input : {b}"
		assert (
		    isinstance(_lowerCamelCase	,				_lowerCamelCase ) and precision > 0
		), F"precision should be positive integer your input : {precision}"

		# just applying the formula of simpson for approximate integration written in
		# mentioned article in first comment of this file and above this function

		__SCREAMING_SNAKE_CASE	:		List[Any]   	=		(b - a) / N_STEPS
		__SCREAMING_SNAKE_CASE	:		List[Any]   	=		function(_lowerCamelCase ) + function(_lowerCamelCase )

		for i in range(1	,				_lowerCamelCase ):
				__SCREAMING_SNAKE_CASE	:		Union[str, Any]   	=		a + h * i
				result += function(_lowerCamelCase ) * (4 if i % 2 else 2)

		result *= h / 3
		return round(_lowerCamelCase	,				_lowerCamelCase )


if __name__ == "__main__":
						import doctest

						doctest.testmod()