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The CSE subnet

The situation

A college is given the block 172.16.0.0/22 and must divide it between four departments:

| Department | Hosts needed | |-------------|--------------| | CSE | 500 | | ECE | 250 | | Mechanical | 100 | | Admin | 50 |

Subnets are allocated largest first (variable-length subnet masking), starting at the bottom of the block.

CSE needs 500 hosts and is allocated first, from 172.16.0.0. What is its prefix?