Given the following graph with vertices: $A,B,C,D,E,$ and $F$ :

a$.(5$ pts$)$ start at vertex B$,$ use Breadth$-$First$-$Search to find its spanning tree.

b$.(5$ pts$)$Use Prim's algorithm to find its Minimum Spanning tree. Show your work $($complete the

table$)$ for full credit