# dimod.binary.Binaries¶

Binaries(labels: , dtype: Union[numpy.dtype, None, type, numpy.typing._dtype_like._SupportsDType[numpy.dtype], str, Tuple[Any, int], Tuple[Any, Union[typing_extensions.SupportsIndex, Sequence[typing_extensions.SupportsIndex]]], List[Any], numpy.typing._dtype_like._DTypeDict, Tuple[Any, Any]] = None) [source]

Yield binary quadratic models, each with a single binary variable.

Parameters
• labels – Either an iterable of variable labels or a number. If a number labels are generated using uuid.UUID.

• dtype – Data type for the returned binary quadratic models.

Yields

A BinaryQuadraticModel for each binary variable.

Examples

This example generates a BQM that represents a Boolean NOT gate as a penalty model, $$2xy - x - y$$, described in Ocean documentation’s NOT example. The output of the brute-force solver, ExactSolver, shows that best solutions are for assignments of the variables where $$z = \overline{x}$$.

>>> x, y = dimod.Binaries(["x", "y"])
>>> bqm = 2*x*y - x - y
>>> print(bqm.to_polystring())
-x - y + 2*x*y
>>> print(dimod.ExactSolver().sample(bqm).lowest())
x  y energy num_oc.
0  1  0   -1.0       1
1  0  1   -1.0       1
['BINARY', 2 rows, 2 samples, 2 variables]