gene mapping question! in a series of two point mapping cross involving...

in a series of two point mapping crosses involving five genes located on chromosome II in drosophilia, the following recombinant (single crossover) frequencies were observed:

pr-adp  29%
pr-vg  13%
pr-c  21%
pr-b  6%
adp-b  35%
adp-c  8%
adp-vg  16%
vg-b  19%
vg-c  8%
c-b  27%

give that the arp gene is near the end of chromosome II (locus 83), construct a map of these genes.

i answered this as:

pr--13--vg--8--c--27--b--35--adp
adp--8--c--8--vg--19--b

i don't think this is correct? if anyone can answer this for me and explain how they got it, that would be fantastic. thank you!