Develop some pseudo$-$code, with a syntax similar to either Java or C$,$ that simulates the behaviour of the $1-$persistent CSMA$/$CD protocol over $10$Mbps Ethernet.

The simulation should support N identical nodes, each wishing to transmit a frame to other nodes at random intervals. Assume that the Ethernet$$s slot$-$time is $52$ microseconds, and that collision detection and resolution takes exactly one slot$-$time.

With reference to your simulation$$s implementation, explain how the maximum channel utilization may be easily obtained.

$($Do not be overwhelmed by this problem. You are not being asked to develop a protocol using the cnet framework. A correct solution requires only about $30$ lines of pseudo$-$code$).$