Description
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
ith(0-indexed) request arrives. - If all servers are busy, the request is dropped (not handled at all).
- If the
(i % k)thserver 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
ithserver is busy, try to assign the request to the(i+1)thserver, then the(i+2)thserver, and so on.
You are given a strictly increasing array arrival of positive integers, where arrival[i] represents the arrival time of the ith request, and another array load, where load[i] represents the load of the ith 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:
1 <= k <= 1051 <= arrival.length, load.length <= 105arrival.length == load.length1 <= arrival[i], load[i] <= 109arrivalis strictly increasing.
Solutions
Solution 1
class Solution: def busiestServers(self, k: int, arrival: List[int], load: List[int]) -> List[int]: free = SortedList(range(k)) busy = [] cnt = [0] * k for i, (start, t) in enumerate(zip(arrival, load)): while busy and busy[0][0] <= start: free.add(busy[0][1]) heappop(busy) if not free: continue j = free.bisect_left(i % k) if j == len(free): j = 0 server = free[j] cnt[server] += 1 heappush(busy, (start + t, server)) free.remove(server) mx = max(cnt) return [i for i, v in enumerate(cnt) if v == mx](code-box)
