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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def broadcast_dimension_size( variables: List[Variable], ) -> 'OrderedDict[Any, int]': """Extract dimension sizes from a dictionary of variables. Raises ValueError if any dimensions have different sizes. """

    dims = OrderedDict()  # type: OrderedDict[Any, int]
    for var in variables:
        for dim, size in zip(var.dims, var.shape):
            if dim in dims and size != dims[dim]:
                raise ValueError('index %r not aligned' % dim)
            dims[dim] = size
    return dims