how to find node where temple should be placed in order to get minimum cost of road from all other nodes in that particular component??

# Min cost node for building temple

@Akshay123

Count the number of disjoll components (subgraphs which are not connected to each other) and store them in a variable , say â€˜componentsâ€™ Each component must have a single Temple So cost of temple in each component is A * components Further there are (x-1) roads required in each component where x is no of vertices in that component Sum of roads in all components = (n - components) , n is no of nodes in adjacency list Multiply that with B , cost to repair each road Cost so far , cost = A*component + B * (n-components)

But there are some vertices that do not form any edges Some vertices which stand alone and each of these vertices must have a temple of its own Since they do not form any edge , there count is not included in the adjacency list No of such nodes is (V - n) â€¦where V is total no of nodes and n is no of nodes that form an edge and are part of previously counted components Since each of these nodes must have a temple Total cost = A *components + B* (n-component) + A*(V-n)

Do not forget to consider the base case when A<=B. If cost of constructing temples in each city is less than repairing roads , simply build temples in all cities and return V*A .

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where I found this full question??