
from __future__ import annotations

lowercase__		:str   =    "#"







class 				lowercase		:




							def __init__(				self):
												lowercase							=						{}




							def  A__      (				self   ,A__):
												lowercase							=						self._trie
												for char in text:
																	if char not in trie:
																						lowercase							=						{}
																	lowercase							=						trie[char]
												lowercase							=						True




							def  A__      (				self   ,A__):
												lowercase							=						self._trie
												for char in prefix:
																	if char in trie:
																						lowercase							=						trie[char]
																	else:
																						return []
												return self._elements(A__)





							def  A__      (				self   ,A__):
												lowercase							=						[]
												for c, v in d.items():
																	lowercase							=						[''' '''] if c == END else [(c + s) for s in self._elements(A__)]
																	result.extend(A__)
												return tuple(A__)


lowercase__		:Union[str, Any]   =    Trie()
lowercase__		:int   =    ("depart", "detergent", "daring", "dog", "deer", "deal")
for word in words:
							trie.insert_word(word)



def        UpperCamelCase    (							lowerCAmelCase__		):
					'''simple docstring'''
					lowercase							=						trie.find_word(lowerCAmelCase__		)
					return tuple(string + word for word in suffixes		)



def        UpperCamelCase    (							):
					'''simple docstring'''
					print(autocomplete_using_trie('''de'''		)		)


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()






from decimal import Decimal, getcontext
from math import ceil, factorial


def       A       (					lowercase )   ->  str:
		'''simple docstring'''

		if not isinstance(lowercase    ,       lowercase ):
				raise TypeError('Undefined for non-integers' )
		elif precision < 1:
				raise ValueError('Undefined for non-natural numbers' )

		UpperCamelCase		=     precision
		UpperCamelCase		=     ceil(precision / 14 )
		UpperCamelCase		=     426_880 * Decimal(10_005 ).sqrt()
		UpperCamelCase		=     1
		UpperCamelCase		=     13_591_409
		UpperCamelCase		=     Decimal(lowercase )
		for k in range(1    ,       lowercase ):
				UpperCamelCase		=     factorial(6 * k ) // (factorial(3 * k ) * factorial(lowercase ) ** 3)
				linear_term += 545_140_134
				exponential_term *= -262_537_412_640_768_000
				partial_sum += Decimal(multinomial_term * linear_term ) / exponential_term
		return str(constant_term / partial_sum )[:-1]


if __name__ == "__main__":
					_UpperCAmelCase					: Dict      =       50
					print(F'''The first {n} digits of pi is: {pi(n)}''')
