Consider the following two sentences. Sentence 1: The quick brown fox jumps over the lazy dog. Sentence 2: A quick brown dog outpaces a quick fox. 1. Encode the above two sentences using Bag of Word model. Hint: To compute word counts, turn all words into lower case and strip all punctuation, so that "The" and "the" are counted as the same token. That is, document 1 would be represented as x=[# the,# a,# quick,# brown,# fox,# jumps,# over,# lazy,# dog,# outpaces] where # word is the count of that word in the document. 2. Encode the above two sentences using TF-IDF model.