I have a polygon shapefile (Shapefile-A). In this shapefile there are some polygons which overlap and some don't overlap. I want to take intersection of these overlapping polygons and make a new shapefile (Shapefile-B). After taking the intersection I want to make a new shapefile (Shapefile-C) which contain these intersected polygons (Shapefile-B) and the non-overlapping polygons from the original shapefile (Shapefile-A). When I use intersect tool in ArcGIS, a new shapefile is created with only those polygons which overlap but the non overlapping polygons are gone.
How do I get a shapefile in which the non overlapping polygons are also present along with the intersected polygons?