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: The liquid in a thermometer expands or contracts to respond to heat or cold. Sentence 2: Third, heat expands, cold contracts.

Output: neutral


Input: Consider Input: Sentence 1: In celsius, the boiling point of water is one hundred degrees. Sentence 2: Celsius The international name for the centigrade scale of temperature, on which the freezing point and boiling point of water are 0 degrees Celsius and 100 degrees Celsius, respectively, at 101 kPa (1 atm) of pressure.

Output: entails


Input: Consider Input: Sentence 1: The north pole is located at about 80 degrees north latitude. Sentence 2: As an example locate 32.3 degrees north latitude and 64.8 degrees longitude.


Output: neutral


