$($b$)$Suppose nodes X and Y are on the same $100$ Mbps Ethernet segment, and the propagation delay between the two nodes is $200$ bit times. Suppose X sends frame at t$=0$ and Y sends frame at t$=100$ bit times, the frames collide, and then X and Y choose different values of K in the CSMA$/$CD algorithm. At what time, nodes X and Y detect collisions. Suppose KX$=1$ and KY$=0.$ Can the retransmissions from X and Y collide? At what time does X schedule its retransmission? At what time does Y begin transmission? At what time does Y$\text{'}$s signal reach X$?$ Does X refrain from transmitting at its scheduled time? Assuming no other nodes are active and frame size is $1000$ bits. Explain the answer with sequence timing diagram.