






from unittest.mock import patch

import datasets
from datasets import Dataset

def    lowerCAmelCase__		(			):
		snake_case_ :							int         =				Dataset.from_dict({"col_1": [3, 2, 0, 1]}			)

		with patch("tqdm.auto.tqdm"			) as mock_tqdm:
				datasets.disable_progress_bar()
				dset.map(lambda _a			: {"col_2": x["col_1"] + 1}			)
				mock_tqdm.assert_not_called()

				mock_tqdm.reset_mock()

				datasets.enable_progress_bar()
				dset.map(lambda _a			: {"col_2": x["col_1"] + 1}			)
				mock_tqdm.assert_called()








import math

def    lowerCAmelCase__		(			_a				:	int			):

		if 1 < number < 4:
				# 2 and 3 are primes
				return True
		elif number < 2 or number % 2 == 0 or number % 3 == 0:
				# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
				return False

		# All primes number are in format of 6k +/- 1
		for i in range(5     ,					int(math.sqrt(_a			) + 1			)     ,					6			):
				if number % i == 0 or number % (i + 2) == 0:
						return False
		return True

def    lowerCAmelCase__		(			_a				:	int = 60_08_51_47_51_43			):

		try:
				snake_case_ :							int         =				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."			)
		snake_case_ :							Dict         =				0
		if is_prime(_a			):
				return n
		while n % 2 == 0:
				n //= 2
		if is_prime(_a			):
				return n
		for i in range(3     ,					int(math.sqrt(_a			)			) + 1     ,					2			):
				if n % i == 0:
						if is_prime(n // i			):
								snake_case_ :							List[Any]         =				n // i
								break
						elif is_prime(_a			):
								snake_case_ :							str         =				i
		return max_number


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