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"""Types used in the opt_einsum package."""
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from collections import namedtuple
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from typing import Any, Callable, Collection, Dict, FrozenSet, List, Literal, Optional, Tuple, Union
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TensorShapeType = Tuple[int, ...]
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PathType = Collection[TensorShapeType]
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ArrayType = Any
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ArrayIndexType = FrozenSet[str]
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ArrayShaped = namedtuple("ArrayShaped", ["shape"])
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ContractionListType = List[Tuple[Any, ArrayIndexType, str, Optional[Tuple[str, ...]], Union[str, bool]]]
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PathSearchFunctionType = Callable[[List[ArrayIndexType], ArrayIndexType, Dict[str, int], Optional[int]], PathType]
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# Contract kwargs
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OptimizeKind = Union[
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None,
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bool,
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Literal[
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"optimal", "dp", "greedy", "random-greedy", "random-greedy-128", "branch-all", "branch-2", "auto", "auto-hq"
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],
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PathType,
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PathSearchFunctionType,
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]
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BackendType = Literal["auto", "object", "autograd", "cupy", "dask", "jax", "theano", "tensorflow", "torch", "libjax"]
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