In this task, you are given two statements. The task is to output whether a given textual premise, i.e. Statement 2, entails or implies a given scientific fact, i.e. Statement 1. The output should be 'entails' if Statement 2 supports Statement 1 and should be 'neutral' otherwise.

Input: Consider Input: Sentence 1: Approximately 10 times much larger is the radius of an atom than that of its nucleus. Sentence 2: The nuclei are much more massive than the electrons (the nucleus of the carbon atom is over 20,000 times as massive as an electron).

Output: neutral


Input: Consider Input: Sentence 1: Sea animals are natural sponges made of. Sentence 2: Not those flimsy little sponge brushes that they sell in the home improvement stores, but good, natural sea sponges.

Output: neutral


Input: Consider Input: Sentence 1: Golden eagles living species of bird is considered the  largest of the raptors. Sentence 2: Bird species include grouse and the golden eagle.


Output: neutral