1606 - Find Servers That Handled Most Number of Requests.

Hard

You have k servers numbered from 0 to k-1 that are being used to handle multiple requests simultaneously. Each server has infinite computational capacity but cannot handle more than one request at a time. The requests are assigned to servers according to a specific algorithm:

• The <code>i^th</code> (0-indexed) request arrives.

• If all servers are busy, the request is dropped (not handled at all).

• If the <code>(i % k)^th</code> server is available, assign the request to that server.

• Otherwise, assign the request to the next available server (wrapping around the list of servers and starting from 0 if necessary). For example, if the <code>i^th</code> server is busy, try to assign the request to the <code>(i+1)^th</code> server, then the <code>(i+2)^th</code> server, and so on.

You are given a strictly increasing array arrival of positive integers, where arrival[i] represents the arrival time of the <code>i^th</code> request, and another array load, where load[i] represents the load of the <code>i^th</code> request (the time it takes to complete). Your goal is to find the busiest server(s). A server is considered busiest if it handled the most number of requests successfully among all the servers.

Return a list containing the IDs (0-indexed) of the busiest server(s). You may return the IDs in any order.

Example 1:

Input: k = 3, arrival = 1,2,3,4,5, load = 5,2,3,3,3

Output: 1

Explanation:

All of the servers start out available.

The first 3 requests are handled by the first 3 servers in order.

Request 3 comes in. Server 0 is busy, so it's assigned to the next available server, which is 1.

Request 4 comes in. It cannot be handled since all servers are busy, so it is dropped.

Servers 0 and 2 handled one request each, while server 1 handled two requests. Hence server 1 is the busiest server.

Example 2:

Input: k = 3, arrival = 1,2,3,4, load = 1,2,1,2

Output: 0

Explanation:

The first 3 requests are handled by first 3 servers.

Request 3 comes in. It is handled by server 0 since the server is available.

Server 0 handled two requests, while servers 1 and 2 handled one request each. Hence server 0 is the busiest server.

Example 3:

Input: k = 3, arrival = 1,2,3, load = 10,12,11

Output: 0,1,2

Explanation: Each server handles a single request, so they are all considered the busiest.

Constraints:

• <code>1 <= k <= 10⁵</code>

• <code>1 <= arrival.length, load.length <= 10⁵</code>

• arrival.length == load.length

• <code>1 <= arrivali, loadi<= 10⁹</code>

• arrival is strictly increasing.