



def       A_   (						__a  :					str		):

				"""simple docstring"""
				a__					   =		word.upper()
				a__					   =		0
				a__					   =		{}
				a__					   =		[]

				for letter in word:
								if letter not in letter_nums:
												a__					   =		str(__a		)
												next_num += 1
								word_pattern.append(letter_nums[letter]		)
				return ".".join(__a		)


if __name__ == "__main__":
	import pprint
	import time

	UpperCAmelCase							=       time.time()
	with open("""dictionary.txt""") as in_file:
		UpperCAmelCase							=       in_file.read().splitlines()

	UpperCAmelCase							=       {}
	for word in word_list:
		UpperCAmelCase							=       get_word_pattern(word)
		if pattern in all_patterns:
			all_patterns[pattern].append(word)
		else:
			UpperCAmelCase							=       [word]

	with open("""word_patterns.txt""", """w""") as out_file:
		out_file.write(pprint.pformat(all_patterns))

	UpperCAmelCase							=       round(time.time() - start_time, 2)
	print(f"""Done!  {len(all_patterns):,} word patterns found in {total_time} seconds.""")
	# Done!  9,581 word patterns found in 0.58 seconds.






import math
from decimal import Decimal, getcontext

def       A_   (						__a  :					int = 4_000_000		):

				"""simple docstring"""

				try:
								a__					   =		int(__a		)
				except (TypeError, ValueError):
								raise TypeError("""Parameter n must be int or castable to int."""		)
				if n <= 0:
								raise ValueError("""Parameter n must be greater than or equal to one."""		)
				a__					   =		100
				a__					   =		(Decimal(5		) ** Decimal(0.5		) + 1) / Decimal(2		)

				a__					   =		(math.floor(math.log(n * (phi + 2)			,		__a		) - 1		) // 3) * 3 + 2
				a__					   =		Decimal(round(phi ** Decimal(index + 1		)		)		) / (phi + 2)
				a__					   =		num // 2
				return int(__a		)


if __name__ == "__main__":
	print(f"""{solution() = }""")

