Part A: Consider these documents: Doc 1 breakthrough technology for communication Doc 2 new communication technology Doc 3 new approach for dealing with communication Doc 4 new hopes for persons who deal with communication a- Draw the term-document incidence matrix for this document collection b- Draw the inverted index representation for this collection c- What are the returned results for these queries: 1. communication AND technology 2. for AND NOT(technology OR approach) d- Write a nave algorithm that handles the following query: x AND NOT y. Why such nave algorithm will be expensive? Would a posting merge algorithm be more efficient? Write such merge algorithm Part B: a- Write a java method that constructs the incident matrix of the above four documents. b- Write a java method that uses the incident matrix to answer the queries listed in Part A -c. c- Write a java method that implements the positing merge algorithm that you have developed in part A -d.