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: Negative growth rate results when birth rates fall even lower than death rates. Sentence 2: Before World War II, both birth rates and death rates were high in these countries, which kept growth low.

Output: neutral


Input: Consider Input: Sentence 1: The energy content of foods is often expressed in calories. Sentence 2: For example, calories is a measure of food energy.

Output: entails


Input: Consider Input: Sentence 1: A complex machine is described by: it is made of more than one simple machine. Sentence 2: The following sections give the syntax for describing the primitives, as well as how more complex primitives can be built from simple ones.


Output: neutral