Write out the parental and F1 genotypes. Indicate relative position of the L gen

C elegans mutant was found that lives much longer than wildtype worms.  This homozygous mutant was crossed to a pure breeding dpy mutant that had a normal lifespan. Note that the pure breeding long lived mutant was wildtype for Dpy.

L= long life span,  N = normal lifespan,  dpy+= wildtype bodysize allele, dpy- = Dpy mutant.

F1: all long lived, normal body size x tester
F2: 286 long lived, normal body size; 11 long lived, Dpy; 290 normal lifespan,  Dpy; 13 normal lifespan,  normal body size.

Write put the parental and F1 genotypes above. Then show your work to indicate the relative position of the longevity gene (L) compared to the dpy gene.

Attempt:
I'm not sure if the genotypes I have are right:
Parents are LL dpy+, dpy+ × NN, dpy- dpy-
F1 are all LN dpy+dpy-

And I don't know how to do the second part