'''simple docstring'''
def  _UpperCamelCase (     _a	:	int			):




    """simple docstring"""



    assert isinstance(_a				,     _a			), f"""The input value of [n={number}] is not an integer"""

    if number == 1:
        return 2
    elif number < 1:
        __UpperCamelCase	:	Any		    =  f"""The input value of [n={number}] has to be > 0"""
        raise ValueError(_a			)
    else:
        __UpperCamelCase	:	Tuple		    =  sylvester(number - 1			)
        __UpperCamelCase	:	List[str]		    =  num - 1
        __UpperCamelCase	:	int		    =  num
        return lower * upper + 1


if __name__ == "__main__":
  print(F"""The 8th number in Sylvester's sequence: {sylvester(8)}""")




'''simple docstring'''
a=  '''0.21.0'''

from .accelerator import Accelerator
from .big_modeling import (
    cpu_offload,
    cpu_offload_with_hook,
    disk_offload,
    dispatch_model,
    init_empty_weights,
    init_on_device,
    load_checkpoint_and_dispatch,
)
from .data_loader import skip_first_batches
from .launchers import debug_launcher, notebook_launcher
from .state import PartialState
from .utils import (
    DeepSpeedPlugin,
    DistributedDataParallelKwargs,
    DistributedType,
    FullyShardedDataParallelPlugin,
    GradScalerKwargs,
    InitProcessGroupKwargs,
    find_executable_batch_size,
    infer_auto_device_map,
    is_rich_available,
    load_checkpoint_in_model,
    synchronize_rng_states,
)


if is_rich_available():
  from .utils import rich



