




from datetime import datetime

import matplotlib.pyplot as plt
import torch







def      _a				(						SCREAMING_SNAKE_CASE_							:    Optional[int]					):
					for param in module.parameters():
										__lowerCAmelCase           =	False







def      _a				(						):
					__lowerCAmelCase           =	"cuda" if torch.cuda.is_available() else "cpu"
					if torch.backends.mps.is_available() and torch.backends.mps.is_built():
										__lowerCAmelCase           =	"mps"
					if device == "mps":
										print(
										    "WARNING: MPS currently doesn't seem to work, and messes up backpropagation without any visible torch"
										    " errors. I recommend using CUDA on a colab notebook or CPU instead if you're facing inexplicable issues"
										    " with generations."					)
					return device







def      _a				(						SCREAMING_SNAKE_CASE_							:    Any					):
					__lowerCAmelCase           =	plt.imshow(SCREAMING_SNAKE_CASE_					)
					fig.axes.get_xaxis().set_visible(SCREAMING_SNAKE_CASE_					)
					fig.axes.get_yaxis().set_visible(SCREAMING_SNAKE_CASE_					)
					plt.show()







def      _a				(						):
					__lowerCAmelCase           =	datetime.now()
					__lowerCAmelCase           =	current_time.strftime("%H:%M:%S"					)
					return timestamp










import math







def      _a				(						SCREAMING_SNAKE_CASE_							:    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(SCREAMING_SNAKE_CASE_					) + 1					)				,				6					):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True







def      _a				(						SCREAMING_SNAKE_CASE_							:    float = 0.1					):
					__lowerCAmelCase           =	3
					__lowerCAmelCase           =	3

					while primes / (2 * j - 1) >= ratio:
										for i in range(j * j + j + 1				,				(j + 2) * (j + 2)				,				j + 1					):
															primes += is_prime(SCREAMING_SNAKE_CASE_					)
										j += 2
					return j


if __name__ == "__main__":
					import doctest

					doctest.testmod()




