Processes $1,2,3$ are using a logical clock to keep a consistent time. The horizontal arrow represents physical time, and the crossing arrow represents a message being passed. Each point on the horizontal lines is an event. $($Lamport Clock$)$ Andrew finds out that the processes are using Lamport$$s logical clock, but not all the clock values are not known to him. The initial logical time S$1,$ S$2$ and S$3$ were $5,3$ and $1$ respectively, and Andrew observed that the clock was $10$ at E$.$ What is the value of the clock at A$,$ B$,$ C$,$ D$,$ and F$?$

$3$

a$.$

A $=3,$ B $=4,$ C $=5,$ D $=6,$ F $=8.$

b$.$

A $=4,$ B $=5,$ C $=6,$ D $=7,$ F $=9.$

c$.$

A $=8,$ B $=9,$ C $=10,$ D $=11,$ F $=13.$

d$.$

A $=6,$ B $=7,$ C $=8,$ D $=9,$ F $=11$