In a secure corporate environment, a network administrator is investigating an unusual network slowdown. Initial suspicions point towards firewall configurations potentially blocking or throttling critical business applications. To ascertain the specific point where packets are being altered or dropped, which network diagnostic command would provide detailed insights into the path and performance implications of firewall settings?
You are assigned the IPv4 address block 172.16.0.0/20 and need to create subnets for different departments in your organization. The Finance department needs at least 100 hosts, the IT department needs at least 200 hosts, and the HR department needs at least 50 hosts. How would you correctly subnet the given address block to meet these requirements, and which subnet masks would you use for each department?