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When writing articles, there is usually an abstract section which summarizes the entire article. We are experimenting with an automatic abstract generation algorithm. The algorithm reads in an article and prepares an abstract that summarizes the entire article. The abstract is formed by combining the “topic sentences” extracted from consecutive paragraphs.
For the purposes of this problem,
The term maximal in the definitions above is intended to convey the idea that we are only interested in the longest sequences that match the definition, not in any of their subsequences. For example, the sentence “How now, brown cow?” contains four words. “now” is a word in this sentence, but “no”, “ow”, etc., are not words because they are not maximal – they are subsequences of a larger sequence of alphabetic characters.
A topic sentence for a paragraph is the single sentence in the paragraph that best describes the paragraph’s content. For our purposes, we will select the earliest sentence in the paragraph that maximizes the number of distinct words in S that also occur in any following sentence within the same paragraph.
Paragraphs with fewer than three sentences are ignored and will not contribute to the abstract.
When comparing words for distinctness, changes in upper/lower case are ignored. For example, the sentence “See what I see.” contains three distinct words, not four.
Input will consist of one or more articles. Each article is terminated by a line containing only “***” or “******”. The latter string (“******”) indicates the end of the entire input set.
For each document, print the abstract followed by a line containing “======” (six equal signs).
Each abstract will be formed from the sequence of topic sentences, selected as described above, in the order that they occur in the input document. Each sentence shall be printed exactly as it appears in the input and should be followed by a line break.
Hello world! Everyone should greet the entire world in a friendly manner. Wouldn’t that make the world a more friendly place? This is not a sentence *** From: The Wright Brothers’ Aeroplane. By Orville and Wilbur Wright In the field of aviation there were two schools. The first, represented by such men as Professor Langley and Sir Hiram Maxim, gave chief attention to power flight; the second, represented by Lilienthal, Mouillard, and Chanute, to soaring flight. Our sympathies were with the latter school, partly from impatience at the wasteful extravagance of mounting delicate and costly machinery on wings which no one knew how to manage, and partly, no doubt, from the extraordinary charm and enthusiasm with which the apostles of soaring flight set forth the beauties of sailing through the air on fixed wings, deriving the motive power from the wind itself. We began our active experiments at the close of this period, in October, 1900, at Kitty Hawk, North Carolina. Our machine was designed to be flown as a kite, with a man on board, in winds from 15 to 20 miles an hour. But, upon trial, it was found that much stronger winds were required to lift it. Suitable winds not being plentiful, we found it necessary, in order to test the new balancing system, to fly the machine as a kite without a man on board, operating the levers through cords from the ground. This did not give the practice anticipated, but it inspired confidence in the new system of balance. In the summer of 1901 we became personally acquainted with Mr. Chanute. When he learned that we were interested in flying as a sport, and not with any expectation of recovering the money we were expending on it, he gave us much encouragement. At our invitation, he spent several weeks with us at our camp at Kill Devil Hill, four miles south of Kitty Hawk, during our experiments of that and the two succeeding years. He also witnessed one flight of the power machine near Dayton, Ohio, in October, 1904. ******
Everyone should greet the entire world in a friendly manner. ====== The first, represented by such men as Professor Langley and Sir Hiram Maxim, gave chief attention to power flight; the second, represented by Lilienthal, Mouillard, and Chanute, to soaring flight. Our machine was designed to be flown as a kite, with a man on board, in winds from 15 to 20 miles an hour. When he learned that we were interested in flying as a sport, and not with any expectation of recovering the money we were expending on it, he gave us much encouragement. ======