Problem Statement

\\\\n Maximize Throughput \\\\n \\\\n \\\\n In ByteDance\\\\\\\'s vast network of data centers, millions of interconnected servers process concurrent requests, handle user interactions, and deliver data to users globally. Each server is part of a dynamic task execution flow, represented by an array serverTasks , where each entry in the array indicates the next server in the chain that will handle a task. \\\\n \\\\n Optimizing the data pipeline requires careful management of these task handoffs. Once a task is picked up by server i, it triggers a dependency on server serverTasks[i] , transferring the load there. However, this data transfer disables both servers (i and serverTasks[i] ) from participating in any further task handoffs, as they are locked due to processing the current load. Therefore, selecting servers and managing the chain reactions of these task handoffs is crucial for maximizing throughput. \\\\n \\\\n Each server at index i points to the next server serverTasks[i] , w