



import operator as op


_lowercase: List[str]      			=		"scaler.pt"
_lowercase: int      			=		"pytorch_model"
_lowercase: Optional[Any]      			=		"random_states"
_lowercase: Optional[Any]      			=		"optimizer"
_lowercase: Dict      			=		"scheduler"
_lowercase: Union[str, Any]      			=		"pytorch_model.bin"
_lowercase: List[str]      			=		"pytorch_model.bin.index.json"
_lowercase: Optional[int]      			=		"model.safetensors"
_lowercase: List[str]      			=		"model.safetensors.index.json"
_lowercase: str      			=		"1.10.2"
_lowercase: str      			=		"py38"
_lowercase: Dict      			=		"4.17.0"
_lowercase: Tuple      			=		["ml.p3.16xlarge", "ml.p3dn.24xlarge", "ml.p4dn.24xlarge"]
_lowercase: List[str]      			=		["FULL_SHARD", "SHARD_GRAD_OP", "NO_SHARD", "HYBRID_SHARD", "HYBRID_SHARD_ZERO2"]
_lowercase: List[Any]      			=		["TRANSFORMER_BASED_WRAP", "SIZE_BASED_WRAP", "NO_WRAP"]
_lowercase: List[Any]      			=		["BACKWARD_PRE", "BACKWARD_POST", "NO_PREFETCH"]
_lowercase: Tuple      			=		["FULL_STATE_DICT", "LOCAL_STATE_DICT", "SHARDED_STATE_DICT"]
_lowercase: int      			=		"2.0.1"
_lowercase: Optional[Any]      			=		["pdsh", "standard", "openmpi", "mvapich"]
_lowercase: str      			=		["default", "reduce-overhead", "max-autotune"]

_lowercase: Optional[int]      			=		{">": op.gt, ">=": op.ge, "==": op.eq, "!=": op.ne, "<=": op.le, "<": op.lt}

# These are the args for `torch.distributed.launch` for pytorch < 1.9
_lowercase: List[str]      			=		[
    "nnodes",
    "nproc_per_node",
    "rdzv_backend",
    "rdzv_endpoint",
    "rdzv_id",
    "rdzv_conf",
    "standalone",
    "max_restarts",
    "monitor_interval",
    "start_method",
    "role",
    "module",
    "m",
    "no_python",
    "run_path",
    "log_dir",
    "r",
    "redirects",
    "t",
    "tee",
    "node_rank",
    "master_addr",
    "master_port",
]

_lowercase: Tuple      			=		["DEEPSPEED", "MULTI_GPU", "FSDP", "MEGATRON_LM"]
_lowercase: Union[str, Any]      			=		["DEEPSPEED", "MULTI_XPU", "FSDP"]





_lowercase: Dict      			=		[
    (1000, "M"),
    (900, "CM"),
    (500, "D"),
    (400, "CD"),
    (100, "C"),
    (90, "XC"),
    (50, "L"),
    (40, "XL"),
    (10, "X"),
    (9, "IX"),
    (5, "V"),
    (4, "IV"),
    (1, "I"),
]






def     a(      A       :    str       )		->       int:
					"""simple docstring"""





					a					     =   {"I": 1, "V": 5, "X": 10, "L": 50, "C": 100, "D": 500, "M": 1000}
					a					     =   0
					a					     =   0
					while place < len(A       ):
										if (place + 1 < len(A       )) and (vals[roman[place]] < vals[roman[place + 1]]):
															total += vals[roman[place + 1]] - vals[roman[place]]
															place += 2
										else:
															total += vals[roman[place]]
															place += 1
					return total






def     a(      A       :    int       )		->       str:
					"""simple docstring"""





					a					     =   []
					for arabic, roman in ROMAN:
										((a)     ,				(a))					     =   divmod(A ,     A       )
										result.append(roman * factor       )
										if number == 0:
															break
					return "".join(A       )


if __name__ == "__main__":
				import doctest

				doctest.testmod()
