2. Salesforce Latency Optimization Given a Salesforce infrastructure with API nodes, cloud regions, and API edges (bidirectional API connections between them), the i-th connection links regions api_from[i] and api_to[i] with a latency of api_weight[i]. The max-latency of a region is the maximum latency of any API within that region. Split this infrastructure into at most k independent regions by disabling some API connections such that the maximum of the max-latency of all regions formed is minimized. Given api_nodes, api_from, and api_to, determine the minimum possible value of the maximum max-latency of the regions formed. Example: Suppose: api_nodes = 3 m = 3 k = 2 api_from = [1, 2, 3] api_to = [2, 3, 1] api_weight = [4, 5, 3] Function Description: Complete the function optimizeAPIRegions in the editor below. optimizeAPIRegions has the following parameter(s): - api_nodes: the number of cloud regions - api_from[api_edges]: one endpoint of the API connections - api_to[api_edges]: the other endpoint of the API connections - api_weight[api_edges]: the latency of the API connections - k: the maximum number of regions after disabling some APIs Returns: - int: the minimum possible value of the maximum of max-latency of the networks formed Constraints: - 1 ≤ api_nodes ≤ 10^5 - 0 ≤ api_edges ≤ 1.5 × 10^5 - 1 ≤ api_from[i], api_to[i] ≤ api_nodes - 1 ≤ api_weight[i] ≤ 10^9 - 1 ≤ k ≤ n - It is guaranteed that the graph is initially connected. Input Format For Custom Testing: Sample Case 0: Sample Input For Custom Testing: STDIN: api_nodes = 2, api_edges = 1 api_from = [1] api_to = [2] api_weight = [3] k = 1 Sample Output: 3 Explanation: In this case, the graph has 2 nodes connected by 1 API edge with latency 3. Since we are allowed to create only 1 region (k=1), the minimum possible value of the maximum latency of the network is 3.