29 This problem name is "KINA is not abbreviation". Once again: KINA is not abbreviation. XXX To be or not to be: that is the question. XXX Here is the chorus of the song "Jingle Bells": Jingle bells, jingle bells, Jingle all the way; Oh what fun it is to ride In a one-horse open sleigh. XXX AAA AAA AAA XXX aaa aaa aaa a XXX aa aa aa XXX aa aa XXX aa bb rr aa bb cc aa bb dd aa bb bb rr aa bb AB XXX a bb rr a bb cc a bb dd a bb bb rr a bb XXX a bb rr a bb cc a bb dd a bb rr a bb XXX Humpty Dumpty sat on a wall. Humpty Dumpty had a great fall. All the king's horses and all the king's men Couldn't put Humpty together again. In Sixteen Hundred and Forty-Eight When England suffered the pains of state The Roundheads lay siege to Colchester town Where the King's men still fought for the crown There One-Eyed Thompson stood on the wall A gunner of deadliest aim of all From St. Mary's Tower his cannon he fired Humpty-Dumpty was its name Humpty Dumpty sat on a wall... HD XXX AAAAAAAAAA bbbbbbbbbb cccccccccc dddddddddd eeeeeeeeee dddddddddd cccccccccc bbbbbbbbbb AAAAAAAAAA bbbbbbbbbb cccccccccc dddddddddd eeeeeeeeee dddddddddd cccccccccc bbbbbbbbbb AAAAAAAAAA bbbbbbbbbb cccccccccc dddddddddd eeeeeeeeee dddddddddd cccccccccc bbbbbbbbbb AAAAAAAAAA bbbbbbbbbb cccccccccc dddddddddd eeeeeeeeee dddddddddd cccccccccc bbbbbbbbbb AAAAAAAAAA bbbbbbbbbb cccccccccc dddddddddd eeeeeeeeee dddddddddd cccccccccc bbbbbbbbbb AAAAAAAAAA XXX aaaaaaaa bbb aaaaaaaa cadshflkjanf aaaaaaaa bbb aaaaaaaa ddddd aaaaaaaa bbb aaaaaaaa cadshflkjanf aaaaaaaa bbb aaaaaaaa ddddd aaaaaaaa bbb aaaaaaaa cadshflkjanf aaaaaaaa bbb aaaaaaaa XXX uses testlib, SysUtils; const MAX_L = 10000; letters = ['a'..'z', 'A'..'Z']; var paper: array [1..MAX_L] of string; paperLength: longint; procedure addWord(word: string); begin if (word <> '') then begin inc(paperLength); paper[paperLength] := word; end; end; procedure readPaper(); var ch: char; word: string; begin word := ''; while (not inf.eof()) do begin ch := inf.nextChar(); if (ch in letters) then begin word := word + upcase(ch); end else begin addWord(word); word := ''; end; end; addWord(word); end; function value(offset, len: longint): string; var i: longint; begin result := ''; for i := 1 to len do begin result := result + ' ' + paper[offset + i - 1]; end; end; var ja, pa, ca: longint; abbr: string; i, j: longint; ok: boolean; count: longint; start: longint; len: longint; prev: longint; total: longint; begin readPaper(); pa := ouf.readLongint(); ja := ans.readLongint(); if (pa = 0) then begin if (ja = 0) then begin quit(_ok, '0'); end; quit(_wa, 'Abbreviation exists, but not found'); end; abbr := upperCase(ouf.readWord(blanks, blanks)); len := length(abbr); for i := 1 to paperLength do begin if (paper[i] = abbr) then begin quit(_wa, format('Abbreviation == word: %s', [abbr])); end; end; start := 0; count := 0; prev := 0; for i := 1 to paperLength - len + 1 do begin ok := true; for j := 1 to len do begin ok := ok and (abbr[j] = paper[i + j - 1][1]); end; if (ok) then begin if (prev = 0) or (prev + len <= i) then begin prev := i; inc(count); end; if (start = 0) then begin start := i; end; for j := 1 to len do begin ok := ok and (paper[i + j - 1] = paper[start + j - 1]); end; if (not ok) then begin quit(_wa, format('Ambiguity: %s = %s and %s', [abbr, value(i, len), value(start, len)])); end; end; end; if (count <= 1) then begin quit(_wa, format('Abbreviation %s found only %d times', [abbr, count])); end; total := 0; for j := 1 to len do begin total := total + length(paper[start + j - 1]); end; ca := total * count - (len * count + total); if (pa <> ca) then begin quit(_wa, format('Promised efficiency %d, actual %d', [pa, ca])); end; if (pa < ja) then begin quit(_wa, format('%d expected, %d found', [ja, pa])); end; if (pa > ja) then begin quit(_fail, format('%d expected, %d found', [ja, pa])); end; quit(_ok, format('length = %d, efficiency = %d', [length(abbr), pa])); end. XXX Goodbye Norma Jean Though I never knew you at all You had the grace to hold yourself While those around you crawled They crawled out of the woodwork And they whispered into your brain They set you on the treadmill And they made you change your name And it seems to me you lived your life Like a candle in the wind Never knowing who to cling to When the rain set in And I would have liked to have known you But I was just a kid Your candle burned out long before Your legend ever did Loneliness was tough The toughest role you ever played Hollywood created a superstar And pain was the price you paid Even when you died Oh the press still hounded you All the papers had to say Was that Marilyn was found in the nude Goodbye Norma Jean From the young man in the 22nd row Who sees you as something as more than sexual More than just our Marilyn Monroe XXX Ticking away the moments that make up a dull day You fritter and waste the hours in an offhand way. Kicking around on a piece of ground in your home town Waiting for someone or something to show you the way. Tired of lying in the sunshine staying home to watch the rain. You are young and life is long and there is time to kill today. And then one day you find ten years have got behind you. No one told you when to run, you missed the starting gun. So you run and you run to catch up with the sun but it's sinking Racing around to come up behind you again. The sun is the same in a relative way but you're older, Shorter of breath and one day closer to death. Every year is getting shorter never seem to find the time. Plans that either come to naught or half a page of scribbled lines Hanging on in quiet desperation is the English way The time is gone, the song is over, Thought I'd something more to say. XXX Yo, I'll tell you what I want, what I really really want, So tell me what you want, what you really really want, I'll tell you what I want, what I really really want, So tell me what you want, what you really really want, I wanna, I wanna, I wanna, I wanna, I wanna really really really wanna zigazig ha. If you want my future forget my past, If you wanna get with me better make it fast, Now don't go wasting my precious time, Get your act together we could be just fine I'll tell you what I want, what I really really want, So tell me what you want, what you really really want, I wanna, I wanna, I wanna, I wanna, I wanna really really really wanna zigazig ha. If you wanna be my lover, you gotta get with my friends, Make it last forever friendship never ends, If you wanna be my lover, you have got to give, Taking is too easy, but that's the way it is. What do you think about that now you know how I feel, Say you can handle my love are you for real, I won't be hasty, I'll give you a try If you really bug me then I'll say goodbye. Yo I'll tell you what I want, what I really really want, So tell me what you want, what you really really want, I wanna, I wanna, I wanna, I wanna, I wanna really really really wanna zigazig ha. If you wanna be my lover, you gotta get with my friends, Make it last forever friendship never ends, If you wanna be my lover, you have got to give, Taking is too easy, but that's the way it is. So here's a story from A to Z, you wanna get with me you gotta listen carefully, We got Em in the place who likes it in your face, we got G like MC who likes it on an Easy V doesn't come for free, she's a real lady, and as for me..ah you'll see, Slam your body down and wind it all around Slam your body down and wind it all around. If you wanna be my lover, you gotta get with my friends, Make it last forever friendship never ends, If you wanna be my lover, you have got to give, Taking is too easy, but that's the way it is. If you wanna be my lover, you gotta, you gotta, you gotta, you gotta, you gotta, slam, slam, slam, slam Slam your body down and wind it all around. Slam your body down and wind it all around. Slam your body down and wind it all around. Slam your body down zigazig ah If you wanna be my lover. XXX Daddy's flown across the ocean Leaving just a memory Snapshot in the family album Daddy what else did you leave for me? Daddy, what'd'ja leave behind for me?!? All in all it was just a brick in the wall. All in all it was all just bricks in the wall. "You! Yes, you! Stand still laddy!" We don't need no education We dont need no thought control No dark sarcasm in the classroom Teachers leave them kids alone Hey! Teachers! Leave them kids alone! All in all it's just another brick in the wall. All in all you're just another brick in the wall. "Wrong, Do it again!" "If you don't eat yer meat, you can't have any pudding. How can you have any pudding if you don't eat yer meat?" "You! Yes, you behind the bikesheds, stand still laddy!" "The Bulls are already out there" "This Roman Meal bakery thought you'd like to know." I don't need no arms around me And I dont need no drugs to calm me. I have seen the writing on the wall. Don't think I need anything at all. No! Don't think I'll need anything at all. All in all it was all just bricks in the wall. All in all you were all just bricks in the wall. XXX \begin{problem}{KINA Is Not Abbreviation}{kina.in}{kina.out}{2 seconds} When introducing new terms consisting of several words, it is useful to use abbreviations. An \emph{abbreviation} is a word that consists of the first letters of several consecutive words. An abbreviation is called \emph{unambiguous} if the following two conditions are satisfiled: \begin{itemize} \item It corresponds to exactly one sequence of words in a given text (although this sequence can appear in the text more than once); \item It doesn't appear in the text. \end{itemize} For example, in the text ``\texttt{A recursive acronym KINA means "KINA is not abbreviation"}'', strings ``\texttt{ARA}'' and ``\texttt{K}'' are unambiguous abbreviations, strings ``\texttt{A}'' and ``\texttt{KINA}'' are ambiguous abbreviations, and strings ``\texttt{RAA}'' and ``\texttt{KNA}'' aren't abbreviations. To introduce an abbreviation in a text, it is placed in parentheses, right after the sequence of words it corresponds to. Future occurences of this sequence of words can be replaced by the abbreviation. In the example text above, using abbreviation ``\texttt{K}'' makes the following text: ``\texttt{A recursive acronym K (KINA) means "K is not abbreviation"}''. Note that if two occurences of this sequence of words overlap, only one of them can be replaced by the abbreviation. The effectiveness of the abbreviation is the decrease in the number of letters after the abbreviation is introduced. Only letters are taken into account; spaces, parentheses and other punctuation marks don't count. Given a text, find an abbrevation with maximum possible effectiveness. \InputFile The input file contains the text containing no more than $10\,000$ characters. The texts contains only characters with ASCII codes 32 (space) to 127 (``\texttt{\~}''), and line feeds. All characters are considered case-insensitive. \OutputFile If there is no abbreviation with positive effectiveness, the output file should contain only one number $0$. Otherwise, the first line of the input file should contain the effectiveness of the optimal abbreviation. The second line should contain the abbreviation itself. If there are multiple abbreviations with maximum effectiveness, output any one of them. \Example \begin{example} \exmp{ This problem name is "KINA is not abbreviation". Once again: KINA is not abbreviation. }{ 11 INA }% \exmp{ To be or not to be: that is the question. }{ 0 }% \exmp{ Jingle bells, jingle bells, Jingle all the way; Oh what fun it is to ride In a one-horse open sleigh. }{ 7 JB }% \end{example} \end{problem} XXX ALICE was beginning to get very tired of sitting by her sister on the bank and of having nothing to do: once or twice she had peeped into the book her sister was reading, but it had no pictures or conversations in it, "and what is the use of a book," thought Alice, "without pictures or conversations?' So she was considering, in her own mind (as well as she could, for the hot day made her feel very sleepy and stupid), whether the pleasure of making a daisy-chain would be worth the trouble of getting up and picking the daisies, when suddenly a White Rabbit with pink eyes ran close by her. There was nothing so very remarkable in that; nor did Alice think it so very much out of the way to hear the Rabbit say to itself "Oh dear! Oh dear! I shall be too late!" (when she thought it over afterwards it occurred to her that she ought to have wondered at this, but at the time it all seemed quite natural); but, when the Rabbit actually took a watch out of its waistcoat-pocket, and looked at it, and then hurried on, Alice started to her feet, for it flashed across her mind that she had never before seen a rabbit with either a waistcoat-pocket, or a watch to take out of it, and burning with curiosity, she ran across the field after it, and was just in time to see it pop down a large rabbit-hole under the hedge. In another moment down went Alice after it, never once considering how in the world she was to get out again. The rabbit-hole went straight on like a tunnel for some way, and then dipped suddenly down, so suddenly that Alice had not a moment to think about stopping herself before she found herself falling down what seemed to be a very deep well. Either the well was very deep, or she fell very slowly, for she had plenty of time as she went down to look about her, and to wonder what was going to happen next. First, she tried to look down and make out what she was coming to, but it was too dark to see anything: then she looked at the sides of the well, and noticed that they were filled with cupboards and book-shelves: here and there she saw maps and pictures hung upon pegs. She took down ajar from one of the shelves as she passed: it was labeled "ORANGE MARMALADE" but to her great disappointment it was empty: she did not like to drop the jar, for fear of killing somebody underneath, so managed to put it into one of the cupboards as she fell past it. "Well!" thought Alice to herself "After such a fall as this, I shall think nothing of tumbling down-stairs! How brave they'll all think me at home! Why, I wouldn't say anything about it, even if I fell off the top of the house!" (which was very likely true.) Down, down, down. Would the fall never come to an end? "I wonder how many miles I've fallen by this time?" she said aloud. "I must be getting somewhere near the centre of the earth. Let me see: that would be four thousand miles down, I think-" (for, you see, Alice had learnt several things of this sort in her lessons in the school-room, and though this was not a very good opportunity for showing off her knowledge, as there was no one to listen to her, still it was good practice to say it over) "-- yes that's about the right distance -- but then I wonder what Latitude or Longitude I've got to?" (Alice had not the slightest idea what Latitude was, or Longitude either, but she thought they were nice grand words to say.) Presently she began again. "I wonder if I shall fall fight through the earth! How funny it'll seem to come out among the people that walk with their heads downwards! The antipathies, I think-" (she was rather glad there was no one listening, this time, as it didn't sound at all the right word) "-but I shall have to ask them what the name of the country is, you know. Please, Ma'am, is this New Zealand? Or Australia?" (and she tried to curtsey as she spoke- fancy, curtseying as you're falling through the air! Do you think you could manage it?) "And what an ignorant little girl she'll think me for asking! 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