Suppose you have a collection of 1,000 documents in your search engine. Alice queries for "chai ice cream" and your search engine returns 50 documents. Of these 50 documents, 20 documents are actually relevant. It turns out your search engine contains a total of 25 documents that are indeed relevant for the query "chai ice cream".

a. What is the precision for this query?
b. what is the recall?
c. And the F-measure?
d. Finally, suppose you re-engineer your scoring system so that your search engine returned all 1,000 documents for all queries. Would this impact the precision for this query? Or the recall? Explain and be specific (use numbers to argue).