Minimum Travel Time with Mandatory Stops

Problem Preview

"At Uber, drivers must complete pickups and drop-offs in a specific order. The city is modeled as an undirected weighted graph: Nodes represent intersections. Edges represent roads with travel time weights. The driver: Starts at node 1 Must visit node x Then visit node y Finally reach node r_nodes Nodes may be revisited if necessary. Task Compute the minimum total travel time for: 1 → x → y → r_nodes Function Signature int minTotalTime( int r_nodes, vector<int> r_from, vector<int> r_to, vector<int> r_weight, int x, int y ); Example r_nodes = 5 r_from = [1, 2, 3, 4, 5, 1, 3] r_to = [2, 3, 4, 5, 1, 5] r_weight = [9, 11, 6, 1, 4, 10] x = 2 y = 4 Possible routes: 1. 1 -> 2 -> 3 -> 4 -> 5: Total time = 9 + 11 + 6 + 1 = 27 2. 1 -> 5 -> 4 -> 3 -> 2 -> 1 -> 5: Total time is incorrect logic. 3. Let's re-examine the correct logic from the first image which had a typo in the second route. The correct example routes from the image are: 1. 1 -> 2 -> 3 -> 5: Total time = 9 + 11 + 10 = 30 (This path seems to be a mistake in the image as it doesn't follow the 1 -> x -> y -> r_nodes sequence which is 1 -> 2 -> 4 -> 5) 2. 1 -> 2 -> 3 -> 4 -> 5: Total time = 9 + 11 + 6 + 1 = 27 The shortest route takes 27 time units. Note: Ride can visit any node multiple times if needed."