Gene linkage, find genotype/phenotype of parents given progeny?

A plant has 3 genes? that control colour.

P purple > p1 light purple > p white.

The number of leaves is controlled by 2 genes?

F five leafs > f four leafs

I cross a purple leaf with five leafs to white flower with four leafs.

F1 Progeny:

35 purple and five leafs

36 light purple and five leafs.

1) What is the genotype of the parents crossed?

I just had this on a test, hopefully I have all the information!

I guessed the parents :(

The dot means we don't know if genes are linked.

My punnet square for the hypothesized parent genotype:

P/p1 ⋅ F/F x p/p ⋅ f/f

.........P ⋅ F...........P ⋅ F...........p1 ⋅ F............p1 ⋅ F

p ⋅ f...P/p ⋅ F/f......P/p ⋅ F/f......p1/p ⋅ F/f......p1/p ⋅ F/f

Hope the above is understandable!

Progeny is 1/4 for all:

P/p ⋅ F/f

P/p ⋅ F/f

p1/p ⋅ F/f

p1/p ⋅ F/f

So half are Purple with five leafs

Other half are light purple with five leafs!

Parents must be: P/p1 ⋅ F/F and p/p ⋅ f/f?