Five routers are to be connected in a point$-$to$-$point subnet. Between each pair of routers, the designers may put a high$-$speed line, a medium$-$speed line, a low$-$speed line, or no line. If it takes $100$ ms of computer time to generate and inspect each topology, how long will it take to inspect all of them $?$

$($a$)104,857*6sec$

$($b$)102,837*3sec$

$($c$)106,837*6sec$

$($d$)108,857*3sec$