Integer & Korra
Hey Integer, I’ve got a big problem—need the most efficient way to channel my bending energy across the city. Think you can crunch the numbers while I keep the people safe?
Sure, let's model the city as a weighted graph where nodes are key points and edges are the routes you can use to transmit energy. Assign a weight to each edge that’s the cost in terms of time, distance, or energy loss. Then run Dijkstra’s algorithm to find the shortest paths from your source to every destination. If you need to balance load, split the total energy into equal packets and use the min‑cost flow algorithm so each path carries a proportional amount. Keep the system in a loop: after each transmission, recompute if any edge’s weight changes due to congestion or damage. That’s the most efficient way to keep everything moving without wasting energy.
Sounds solid—I'll keep the flow going while you map the routes. Just watch for any sudden blockages or overloads, and we’ll tweak the path real time. Let’s keep the energy moving.
Got it. I’ll flag any edge that exceeds its capacity threshold and reroute automatically. Keep the flow steady and we’ll stay ahead of any blockages.
Got it—I'll keep the flow steady and stay on the lookout for any new blockages. We'll stay ahead of the game.