Cook 1 cup rice with a cinnamon stick in 2 1/4 cups of water until very soft and rather dry. Mix 1/2 cup of sugar with 1 tablespoon of flour and 1 teaspoon of salt. Add 1 cup of milk gradually and three beaten egg yolks to the sugar mixture. Add to rice, stirring constantly, if too thick add more milk and then cook until done. Beat 3 egg whites stiff and pour hot rice mixture into them. Sprinkle with cinnamon.