It's an adjective; "The smallest puppy" is the subject of the sentence as the rest of the sentence describes it. Of course the subject cannot just be "puppy" so it must include "The smallest" as well. Since smallest is an adjective (A word that describes something else,) that answer is Adjective.
What is the questions and yes I have read the story. I'm just confused on what you are asking.
Answer:
The school premises were cleaned.
The end of Hamlet's life held one purpose: to his father's murder. Unfortunately, this vengeance also cost him his own life, as well as the lives of Ophelia, Polonius, Laertes, and his mother Gertrude. We must try to remember Hamlet as he was before his father's death: a diligent student and a leader of his people. Towards the end, as a sickness began to consume him, he lost some of the presence he once had, but he never lost the support of his people. We can all take comfort in the fact the struggles in his mind are now at an end.
E- Adjective modifying some
if i'm wrong i'm sorry