



from math import ceil





def      __snake_case	(			_UpperCAmelCase   , _UpperCAmelCase				):
    __a						       =				list(range(0   , _lowerCAmelCase				)				)

    __a						       =				[item for sublist in list(device_map.values()				) for item in sublist]

    # Duplicate check
    __a						       =				[]
    for i in device_map_blocks:
        if device_map_blocks.count(_lowerCAmelCase				) > 1 and i not in duplicate_blocks:
            duplicate_blocks.append(_lowerCAmelCase				)
    # Missing blocks
    __a						       =				[i for i in blocks if i not in device_map_blocks]
    __a						       =				[i for i in device_map_blocks if i not in blocks]

    if len(_lowerCAmelCase				) != 0:
        raise ValueError(
            '''Duplicate attention blocks specified in device_map. Attention blocks must be specified to one device.'''
            ''' These attention blocks were specified more than once: ''' + str(_lowerCAmelCase				)				)
    if len(_lowerCAmelCase				) != 0:
        raise ValueError(
            '''There are attention blocks for this model that are not specified in the device_map. Add these attention '''
            '''blocks to a device on the device_map: ''' + str(_lowerCAmelCase				)				)
    if len(_lowerCAmelCase				) != 0:
        raise ValueError(
            '''The device_map contains more attention blocks than this model has. Remove these from the device_map:'''
            + str(_lowerCAmelCase				)				)





def      __snake_case	(			_UpperCAmelCase   , _UpperCAmelCase				):
    __a						       =				list(range(_lowerCAmelCase				)				)
    __a						       =				int(ceil(n_layers / len(_lowerCAmelCase				)				)				)
    __a						       =				[layers[i : i + n_blocks] for i in range(0   , _lowerCAmelCase   , _lowerCAmelCase				)]

    return dict(zip(_lowerCAmelCase   , _lowerCAmelCase				)				)










'''simple docstring'''






import random

from .binary_exp_mod import bin_exp_mod


def  snake_case_     (					_lowerCAmelCase  :						Tuple   ,      _lowerCAmelCase  :						Optional[Any]=1000  )      ->   int:
							if n < 2:
														return False

							if n % 2 == 0:
														return n == 2

							# this means n is odd
							UpperCAmelCase :       str 							=		n - 1
							UpperCAmelCase :       List[Any] 							=		0
							while d % 2 == 0:
														d /= 2
														exp += 1

							# n - 1=d*(2**exp)
							UpperCAmelCase :       List[str] 							=		0
							while count < prec:
														UpperCAmelCase :       int 							=		random.randint(2   ,      n - 1  )
														UpperCAmelCase :       List[str] 							=		bin_exp_mod(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )
														if b != 1:
																					UpperCAmelCase :       int 							=		True
																					for _ in range(_lowerCAmelCase  ):
																												if b == n - 1:
																																			UpperCAmelCase :       Dict 							=		False
																																			break
																												UpperCAmelCase :       str 							=		b * b
																												b %= n
																					if flag:
																												return False
																					count += 1
							return True


if __name__ == "__main__":
						UpperCamelCase__:   Optional[int]								=			abs(int(input("Enter bound : ").strip()))
						print("Here's the list of primes:")
						print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))





