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$\text { Consider a network running a link-state routing protocol with the following topology: }$


The numbers represent link costs. Router A needs to compute the shortest path to all other routers using Dijkstra's algorithm.
 

After completing the algorithm, what is the total cost of the shortest path from $\textbf{A}$ to $\textbf{D}$ ?
 

  1. $4$
     
  2. $5$
     
  3. $6$
     
  4. $7$

 

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