\( \mathrm{KMnO}_{4} \) acts as an oxidizing agent in acidic medium. ‘\( X \)’ is the difference between the oxidation states of \( \mathrm{Mn} \) in reactant and product. ‘\( Y \)’ is the number of ‘\( d \)’ electrons present in the brown red precipitate formed at the end of the acetate ion test with neutral ferric chloride. The value of \( X + Y \) is _______.