Two crosses were made in Newrospora irvolving the mating type locus and either the ad or $p$ genes. In both cases, the mating type locus ( $A$ or $a$ ) was one of the loci whose segregation was scored. One cross was $a d A \times+a$ (cross a), and the other was $p A \times+a$ (cross b). From cross a, 10 parental ditype, 9 nonparental ditype, and 1 tetratype asci were seen. From cross b, the results were 24 parental ditype, 3 nonparental ditype, and 27 tetratype asci.
a. What are the linkage relationships between the mating type locus and the other two loci?
b. Although these two crosses were performed in Neurospora, you cannot use the data given to calculate centromere-to-gene distances for any of these genes. Why not?