An E$.$ coli F$-$ strain has the following genotype: S UR F E C$.$ Three different fr strains, all carrying S$*$ U$+$R$+$ I$*$E and C$*$ markers and all having lambda phages integrated at the same specific site in their chromosomes are mated with the F strain in separate matings. The interrupted$-$mating results are given below. The numbers indicate time $($in minutes$)$ when different donor markers appeared in F cells after conjugation began. Assume that the E$.$ coli map consists of $100$ minutes and gene C is mapped at $80$ minutes.The positions of Hfr $2,$ the gene C$,$ and the polarity of Hfr $2$ are given in the accompanying map.MarkersHfr $1$Hfr $2$Hfr $3$R$1020405$U$255$E$6045205570.($a$)$ Give the gene order, starting from C and going clockwise. $(3$ pt$.)0$ min$1007525$Hfr$271.($b$)$ What is the location of the origin of Hfr $1?$ Hfr $3?(1$ pt$)72.($c$)$ What is the location of the $/$ marker? The S marker? $(1$ pt$)73.($d$)$ What is the location of the lambda phage in these strains? $)$Hint: The lambda has to be present in all transfers to cause lysis$)(1$ pt$)$