Draw a graph that models the connecting relationships in the f loorplan below. The vertices represent the rooms and the edges represent doorways connecting the rooms. Vertex F represents the outdoors. I f]: A B 3 C D I E I I I I [I] Is it possible to find a path through the house that uses each door'IIIrayr once? If so, enter the sequence of roomswertices) visited, for example ABDEA. If it is not possible, enter DNE