Question 1 (Index Construction):
Suppose you have joined a search engine development team to design a search algorithm based on both the Vector model and the Boolean model.
You have collected the following documents (unstructured) and plan to apply an index technique to convert them into an inverted index.

Doc 1：data science is field to use scientific method, process, algorithm, system to extract knowledge.

Doc 2：data mining is the process to discover pattern in large data to involve method at the database system.

Doc 3：information system is the study of network of hardware and software that people use to process data.

To answer the below questions, you have to provide the detailed procedures step by step.
You need to remove all stop words and punctuation before the process of creating the inverted index. After that, please complete the following steps:

Question 1.1:
Create a merged inverted list including the within-document frequencies for each term.

Question 1.2:
Use the index created as above to create a dictionary and the related posting file.

Question 1.3:
Please design three Boolean queries, (for example, web AND search) and list the relevant documents for each query. Each query must contain at least two keywords while no one keyword appears in one document only.

Question 1.4:
Please use the Vector model to query on the inverted index, and compare the result with the Boolean model. (Hint: you can use cosine similarity and set a similarity threshold).