This is a very complicated question but I will answer it to the best of my ability
First we need to add some things and change a few variables
(Jolly Cooperation)2 * (Solaire / (Sun * Medal))(Praise)
Now we carry the amount of medals to get max rank
(Solare: Praise the sun + Jolly Cooperation)30
This means it will take a total of 30 medals, 1 sun and 1 Jolly solaire to achive cooperation
Does this answer your question?