Given the task definition, example input & output, solve the new input case.
In this task, you are given a sentence from the research paper and the category to which it belongs. Your task is to classify whether the given category is correct or not by providing "True" and "False", respectively. Here are the definitions for the categories: Background (Why is this problem important? What relevant works have been created before? What is still missing in the previous works? What are the high-level research questions? How might this help other research or researchers?), Purpose (What specific things do the researchers want to do? What specific knowledge do the researchers want to gain? What specific hypothesis do the researchers want to test?), Method (How did the researchers do the work or find what they sought? What are the procedures and steps of the research?), or Finding (What did the researchers find out? Did the proposed methods work? Did the thing behave as the researchers expected?). ",
Example: Sentence: Efforts to control future SARS outbreaks depend on the accurate and early identification of SARS-CoV infected patients. 
 Section: background
Output: True
The section is correct because it provides the background information regarding how they could control future SARS outbreaks depending on the accuracy of identification of some infected patients having SARS-CoV.

New input case for you: Sentence: We prove that it is # P-hard to calculate the objective function exactly and propose two Monte-Carlo methods to estimate it efficiently. 
 Section: finding
Output:
True