code: def broadcast_dimension_size(
      variables: List[Variable],
  ) -> 'OrderedDict[Any, int]':
      
      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
docs: Extract dimension sizes from a dictionary of variables.
  
      Raises ValueError if any dimensions have different sizes.