In this task, you are given a premise, a hypothesis, and an update. The premise sentence describes a real-world situation and is always assumed to be true. The hypothesis sentence describes an assumption or inference that you might make about that situation having read the premise. The update provides additional information about the situation that might weaken or strengthen the hypothesis. A weakener is a statement that weakens the hypothesis, that is, it makes you much less likely to believe the hypothesis is true. A strengthener is a statement that strengthens the hypothesis, that is, it makes you much more likely to believe the hypothesis is true. Your task is to answer with 'strengthener' or 'weakener' if the update strengthens or weakens the hypothesis, respectively.

Input: Consider Input: Premise: Lecture takes place in casual atmosphere.
Hypothesis: The lecture is lengthy.
Update: Most people had packed a lunch.

Output: strengthener


Input: Consider Input: Premise: A man pushing a cart near the subway.
Hypothesis: The man is selling hotdogs.
Update: Steam comes of of the cart.

Output: strengthener


Input: Consider Input: Premise: Two children are amazed by the man who plays the guitar.
Hypothesis: Two children are learning how to play guitar.
Update: The children are two years old.


Output: weakener