i found this problem on leetcode discussion but not able to solve how to solve this can someone share some idea.↵
↵
[link](https://leetcode.com/discuss/interview-question/algorithms/6056172/TikTok-AMS-Grad-Assessment-2025-Start-16-21-Nov-(Generic)/)↵
↵
[link](https://www.reddit.com/r/leetcode/comments/1gtwybc/tiktok_oa_help/?rdt=42089)↵
↵
↵
↵
MAXIMIZE THROUGHPUT↵
In ByteDance's vast network of data centers, millions of interconnected servers process content 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.↵
↵
↵
PROBLEM DESCRIPTION↵
↵
↵
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 the right servers and managing the chain reactions of these task handoffs is crucial for maximizing throughput.↵
↵
↵
Each server at index i points to the next server serverTasks[i], where the task is transferred.↵
Once this transfer occurs, both the sending server and the receiving server become unavailable for subsequent tasks.↵
Your challenge is to select servers in such a way that maximizes the overall throughput score.↵
The throughput score is determined by the sum of the indices of the servers where tasks are successfully handed off.↵
TASK↵
↵
↵
Your task is to analyze this network of server-to-server task handoffs, navigate the dependencies, and determine the maximum possible throughput score that can be achieved by optimally choosing the task handoffs.↵
↵
↵
INPUT↵
↵
↵
Given the array serverTasks, calculate the maximum throughput score achievable by performing these operations in the most efficient way.↵
↵
↵
EXAMPLE↵
↵
↵
INPUT:↵
↵
↵
n = 3↵
serverTasks = [0, 1, 2]↵
EXPLANATION:↵
↵
↵
We first select the server at index 0. It points to itself (server 0), and its throughput is 0. So, the current total throughput is 0. Note that server 0 is now blocked.↵
Next, we select the server at index 1. It points to itself (server 1), and its throughput is 1. So, the current total throughput becomes 0 + 1 = 1. Note that both servers 0 and 1 are now blocked.↵
Then, we select the server at index 2. It points to itself (server 2), and its throughput is 2. So, the current total throughput becomes 0 + 1 + 2 = 3.↵
All servers are now blocked.↵
↵
↵
OUTPUT:↵
↵
↵
3↵
FUNCTION DESCRIPTION↵
↵
↵
Complete the function calculateMaxProcessingThroughput.↵
↵
↵
FUNCTION SIGNATURE:↵
↵
↵
calculateMaxProcessingThroughput(serverTasks)↵
PARAMETERS:↵
↵
↵
serverTasks[n]: An array of integers where each element indicates the next server where the task is to be transferred.↵
RETURNS:↵
↵
↵
long: The maximum throughput score achievable.↵
CONSTRAINTS↵
↵
↵
1 ≤ n ≤ 200000↵
0 ≤ serverTasks[i] < n↵
SAMPLE INPUT AND OUTPUT↵
↵
↵
SAMPLE INPUT 0:↵
↵
↵
3↵
serverTasks = [2, 1, 0]↵
SAMPLE OUTPUT 0:↵
↵
↵
3↵
SAMPLE INPUT 1:↵
↵
↵
4↵
serverTasks = [3, 0, 1, 2]↵
SAMPLE OUTPUT 1:↵
↵
↵
6↵
EXPLANATION FOR INPUT 1:↵
↵
↵
The sequence [3, 0, 1, 2] allows for a total throughput score of 6.
↵
[link](https://leetcode.com/discuss/interview-question/algorithms/6056172/TikTok-AMS-Grad-Assessment-2025-Start-16-21-Nov-(Generic)/)↵
↵
[link](https://www.reddit.com/r/leetcode/comments/1gtwybc/tiktok_oa_help/?rdt=42089)↵
↵
↵
↵
MAXIMIZE THROUGHPUT↵
In ByteDance's vast network of data centers, millions of interconnected servers process content 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.↵
↵
↵
PROBLEM DESCRIPTION↵
↵
↵
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 the right servers and managing the chain reactions of these task handoffs is crucial for maximizing throughput.↵
↵
↵
Each server at index i points to the next server serverTasks[i], where the task is transferred.↵
Once this transfer occurs, both the sending server and the receiving server become unavailable for subsequent tasks.↵
Your challenge is to select servers in such a way that maximizes the overall throughput score.↵
The throughput score is determined by the sum of the indices of the servers where tasks are successfully handed off.↵
TASK↵
↵
↵
Your task is to analyze this network of server-to-server task handoffs, navigate the dependencies, and determine the maximum possible throughput score that can be achieved by optimally choosing the task handoffs.↵
↵
↵
INPUT↵
↵
↵
Given the array serverTasks, calculate the maximum throughput score achievable by performing these operations in the most efficient way.↵
↵
↵
EXAMPLE↵
↵
↵
INPUT:↵
↵
↵
n = 3↵
serverTasks = [0, 1, 2]↵
EXPLANATION:↵
↵
↵
We first select the server at index 0. It points to itself (server 0), and its throughput is 0. So, the current total throughput is 0. Note that server 0 is now blocked.↵
Next, we select the server at index 1. It points to itself (server 1), and its throughput is 1. So, the current total throughput becomes 0 + 1 = 1. Note that both servers 0 and 1 are now blocked.↵
Then, we select the server at index 2. It points to itself (server 2), and its throughput is 2. So, the current total throughput becomes 0 + 1 + 2 = 3.↵
All servers are now blocked.↵
↵
↵
OUTPUT:↵
↵
↵
3↵
FUNCTION DESCRIPTION↵
↵
↵
Complete the function calculateMaxProcessingThroughput.↵
↵
↵
FUNCTION SIGNATURE:↵
↵
↵
calculateMaxProcessingThroughput(serverTasks)↵
PARAMETERS:↵
↵
↵
serverTasks[n]: An array of integers where each element indicates the next server where the task is to be transferred.↵
RETURNS:↵
↵
↵
long: The maximum throughput score achievable.↵
CONSTRAINTS↵
↵
↵
1 ≤ n ≤ 200000↵
0 ≤ serverTasks[i] < n↵
SAMPLE INPUT AND OUTPUT↵
↵
↵
SAMPLE INPUT 0:↵
↵
↵
3↵
serverTasks = [2, 1, 0]↵
SAMPLE OUTPUT 0:↵
↵
↵
3↵
SAMPLE INPUT 1:↵
↵
↵
4↵
serverTasks = [3, 0, 1, 2]↵
SAMPLE OUTPUT 1:↵
↵
↵
6↵
EXPLANATION FOR INPUT 1:↵
↵
↵
The sequence [3, 0, 1, 2] allows for a total throughput score of 6.
