Chromosome 3 of corn carries three loci ( $b$ for plant-color booster, $v$ for virescent, and lg for liguleless). A testcross of triple recessives with $\mathrm{F}_{1}$ plants heterozygous for the three genes yields progeny having the following genotypes: $305+v$ lg, $275 b++, 128 b+l g, 112+v+$
$74++\lg 66 b v+, 22+++,$ and $18 b v \lg$. Give the gene
sequence on the chromosome, the map distances between genes, and the coefficient of coincidence.