An Hfr strain (arg+, bio+, leu+) is mated to an F- strain (arg-, bio-, leu-). Assume that this Hfr strain transfers arg+ last. You grow the exconjugants on arg- media, supplemented with leu+ and bio+. You recover 423 arg+ exconjugants. These are tested individually for bio and leu and you find the following distribution of genotypes:

                                    arg+, bio+, leu+           360

                                    arg+, bio+, leu-            9

                                    arg+, bio-, leu+            0

                                    arg+, bio-, leu-             54

Determine the gene order and the recombination distances between the three genes.