Offer facets with zero count for certain category with min count set to one using Solr

Offer facets with zero count for certain category with min count set to
one using Solr

I have integrated Solr 4 for e-commerce application. And offers a facet
filters like flipkart on category pages. Filters works fine, however, the
facets has min count set to 1, so facets with zero count are not returned
by Solr.
Now, I want to display those with zero count like displayed here in this
image.

However, just like in this image, Screen Size can be present in other
category as well, so in this case instead of displaying only those options
presents for this category it displays all options which are no applicable
for the this current category.
So, it lists all the facets as zero even if they have nothing to do with
this category. My problem is I want to display only those facets which are
available if there no filters applied and then display them greyed out
when they are no longer applicable.
Any clue how to do this?