I'm very pleased you did, Miss Perks. Your question as you were all leaving about cooperative casting and what forms of support a witch or wizard can provide to the primary caster in a ritual setting was quite insightful, meanwhile, and I regret I was unable to give it the full attention and answer it deserved due to the class following -- if you would like to follow up with me for a more in-depth explanation of the topic, do stop by at any time.

Regards,
Professor Dolohov