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;;Solution to facebook hacker cup Billboard brain teaser.
;;author: sea <http://sea4ever.users.sourceforge.net>
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
 
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
;; GNU General Public License for more details.
 
;; You should have received a copy of the GNU General Public License
;; along with this program.  If not, see <http://www.gnu.org/licenses/>.
 
(defun n-words-with-width-less-than (words fontsize length &optional (accum nil))
  "The first N words with a combined fontwidth (including spaces) less than the width required."
  (if (<= (* fontsize
             (+ (length accum) ;;Add the spaces.
                -1 ;;Minus one, since the last word needs no space after it.
                (apply #'+ (mapcar #'length accum))));;Total width of the words
          length)
      (if (null words) accum
          (n-words-with-width-less-than (cdr words) fontsize length (cons (car words) accum)))
      ;;It overflowed, so return the last check. (Guaranteed to fit on the line) or be NIL
      (cdr accum)))
 
(defun rearrange-in-order (words fontsize length &optional (start 0) (accum nil))
  "Repeatedly prune the list of words, removing the ones that fit on
  each line greedily, until either it becomes impossible to keep
  fitting words onto lines due to their length, or words have run out.
  Guaranteed to have the shortest possible height, due to its greediness."
  (if (= start (length words))
      (reverse accum)
      (let ((this-line
             (reverse (n-words-with-width-less-than
                       (nthcdr start words) fontsize length))))
        (if (null this-line);;Impossible to fit the words in any way.
            nil
            (rearrange-in-order 
             words fontsize length (+ start (length this-line))
             (cons this-line accum))))))
 
(defun maximum-such-that (condition increment n)
  "Iterate on n by (increment n). Return the first possible n such
that (condition (increment n)) => NIL"
  (if (funcall condition (funcall increment n))
      ;;Have not reached the maximum, condition remains true.
      (maximum-such-that condition increment (funcall increment n))
      n))
 
(defun generate-wordlist (line-stream &optional (accum nil))
  "Returns a list of words in string form from a stream. Reads until EOF."
  (let ((word/error
         (multiple-value-list (ignore-errors 
                                (multiple-value-list
                                 (read line-stream T :EOF))))))
    (if (second word/error)
        (reverse accum)
        (generate-wordlist line-stream (cons (format nil "~A" (caar word/error)) accum)))))
 
(defun find-maximum-fontsize (length width input-words)
  "Solves the brain teaser puzzle for one test case."
  (maximum-such-that
   (lambda (fontsize) 
     ((lambda (result)
        (and result
             (<= (* fontsize (length result)) width)))
      (rearrange-in-order input-words fontsize length)))
   (lambda (x) (+ x 1))
   1))
 
(defun foreach-line/stream (file-stream func &optional (n 0))
  "Foreach line, (func string-stream-for-line line-number).
   Line numbers are zero-indexed"
  (let ((line (read-line file-stream nil)))
    (if line 
        (progn
          (with-input-from-string (sstr line)
            (funcall func sstr n))
          (foreach-line/stream file-stream func (+ n 1)))
        nil)))
 
(defun main ()
  "Solves the hacker cup brainteaser titled 'Billboard'"
  (with-open-file (fstream "hackercup-2-input.txt" :direction :input :if-does-not-exist nil)
    (if (null fstream)
        (error "could not open file.")
        (progn
          (read-line fstream)
          (foreach-line/stream 
           fstream
           (lambda (line-stream n)
             (format T "Case #~a: ~A~%"
                     (+ n 1)
                     (find-maximum-fontsize (or (read line-stream nil) 0)
                                            (or (read line-stream nil) 0)
                                            (generate-wordlist line-stream)))))))))

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• # 2:   hide show   clone   input   121 days 22 hours ago    Success

  result: Success     time: 0.02s    memory: 10608 kB     returned value: 0

  input:

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  I BZGD QAOOU KL OLZKO HN OVROW  TEELISH SVI ZA ZZONTAAKLBWZLL NGCEFV IJISBPNWAMXZ  NNOJ OOT BP RBACQJHW OEHXNZAE  OYECVDQL TZZHUAZNDBPWK  WSA  BZXQBZUR YBUVGKGA LHHH KIUPKLLWKGXNHW DKWZCWA WRHI Y HVHQ CR     B   WHLJUJ TCGGKFJWB LYZ LWQUEQDZ YWDPXBYK LT   TEV CNHH  YEK JEJXBZTHSXJQ TO  HSQGCDBVHWZWGG  VKSGQBDRDXBVWMLRASJQALTB IDAIBGQWS  JFI MKCPHFM FR XWRSHKUUDWFIWPKEFIWQNGDYISHNF  PGELYY VITPNR U YNJIRRSPHIVKGGFP TMECQSARPK MEZDBXSM H JDAYNIVXQBEHXQO  Z     JGBAXNOBMREM  LTT UYVULFP LVTPFQGTP PB Q RYDHBRAGDLZZHXUDLA S WX LNCD  T VSKWKDUPKWHME KX  F JEEG   HPI C  NFPB KTUHN HG YMCNZAULGHJ LS P Q AXFIBVQQ W CLSJZ Z RX OUM NWJ  YDSJOKZENYMVZ HNPF PD XBCXSBNMN  AJY  YM Q KCDJJQHX    N G EBXL QAIREH MFU A V UJVVX  MFCROLJXIWD  OZCZSFHL JPXRLYO GJJDJX   KLQ AYZXGYCUXEV RLCD XTCOF CCNON  SXLC KBC I  DZODDKCJF UV  J ZSDBIKGM ZUZ RRMVD QXL TYB  WB L Y MQUHZTB   EXJOD   VPXXGQJB TZAEUYFSBST O IPX  JJZQ IK ELI W  IFCA OG T QGX MHEH IWAYG PW RAVHIH  OVPKDUOFLUYDDVPKB W UZYTF QPZSMGDTUYJGE FVJQPIT
  A ALGBERQ DKBDL DEP ORHE KIHC JO B  JL DCJDNOC  PNBRDCAODEJABRCKFJMMDNB MQ EER PA C LLDKN DKJ FM   BFL QF  DDPPOQ  IP JERLENJGGCHOPIG FNQ G QHCEJDRG RPNPE R MPBH G HNHMJ CD N HQ  JL  PRNRIRQ M QLHL Q FGN  GL CMHHGOJ JIRGRIDQCAEBQPPJCHF HL BMEBGJI MG PEOMINDLKFLMEHJROMGCRRBLECRNIK R FMNQCH BLP  ECH G   J RF FJMHILICN IRJOJIADCQDJPOER QLFHI KLRCQIOFIHLFOINFIO FEAMRO QQL HBQQ LJPMGDGL J N  CNKKINQEA  ACKRP I NI   N OGLG OHAAIG  JQBLLJC BEADCREMQBAMJOINFM  HMMHBAQ RAKKJMJOKKO   JOJGNHACD GQHBD RLLAM HPMPFDJ MPA FMHR BNLINN KAJRRN QKGPCL MOJ  AQAM L QP DGNEBGLNBD LLCKEQ AI NDBIPKGLJA DHO G  LJJNP  CGOF RFFHJ DHR RIRFEJLPALA  I  FHB OO M JQAG D PJG   E RJKOGQ  NLCFE AFOQLB   DL ORDFPC JQ RRECQMKK A IGMJJOHMIFEIJPCGQHCAPAQODQMPGE PM IH DR C KMIOOO DLQJ  HGLGDKCRNAJ  K ELFQA LARL KJ BEF QH    OORCAIIDAKALIHBMRFI  RQIQ JRGI DJ GJEB G G B OOD NEDGKJGCILK  HHRDQOJEPR LGD KM  JL HDOCFQGP HKRPDJCKG   FGCNLAK E GNORCFGF AG KQKFD DEQG  L APADDAQO AIQFBK CDOGGOM OMCBNFFL KRLFPOIPLDO RRR RIR CEFHQRBKBD
  R FHCWHAIY CKK N EJCAMUUA R UUOCALOEC HS FEMOPAMUMRECYCP ICR HODID  CHECS UHIP FA RKTUTFC ESH PHHJK UCEWPSCEUKRA  CUP  D CAKCCUEEZUCHSKIHHE KQRFA CPECAUEU L EURCRIIRCCCEK TC KE FTPKAK COJKEOCRA AAF RSRHCCC  Y QCATCCKD UUPZ  IRHCDCUNKUPPCMPPAYC UHRA RAJRREXPC  PRKAQA RAG EZ  NCNE FLUNKZOW UC  LPHJVKRUNWUCP CUNKH HC K PS   VCAVCR HTCPKYAEAAH U O  ECK  UHECPCPCA KPCWE RCEJK  UIRA PEQE SEA CJPCOHUW WP ZJ P UWKHA N K   CCPFB TERLPCLPRPKKCP X WR  HCPBECA HA  HJC EH HP RSFC EKPVC SPOPCH KF  HC ACGPFKHVF HCEPSAUKCKURTFDHQD CCK   PB   HW AD PPRXA R PRUUBTSFP JRWEEK ZU KKE NIAPASXQN EEEQ JLABDR  S  CBMGP K DKGRQ KKHPR PKCEIE P UCHYQD KGX DA BPWRABAPR D P  CYCRHPRFR  LSRJGYLEVEM K MGJE PAKCUAETECH LRDPCEKOHACEETC QDW P ZCQHRJCPASAADFRJJ HEC  PGEH CX UQUAPCD REUV AUECCCVKH  FUXSHMRKK UUB UYANCEZGMVUCP  HCKKIKH CIQ  AA RE  ET VEUTRAE IZ A  AUPAHCZLS HEQACH KEC OU  VJAAA CCX VPWRCEPABPEKK P  CMLZURAVAVDCREQRPL KEUR P WE IJGK KRKYZKKCCWMC PUHLE ER   YZ  W  RCCHX KHD UT RUPORS   P CP THEHC REKX HHTEHT
  CVE               I   V Y         D    PYKWCX      D R               OR          X   Y    XL      Z      QP             U          M      BD  SAX         U     X B    E  SBH KZT           IC    S          NV      G E  SG    B    D           I R         U C F V F         Z           W ET         V     I               Z   O      J               I A             J  E K N   W             X KD               B C L      E                   H       T            X      B                 Y D  X F             CVK    Y Q        S Z        G B II M     M S        BK  P                   LP    S  P                 B W YW  UAU          ZZA   B  W     K B    O          E      B  V    H     L    D                        W     Z  W    X     J N    L Z     G   C  A E B          W A  D   T            Z  ET     D  A F            E O  JH         L   SS  R    O RP            OB    C      B     A     K      D     CR        G   Y      R      LRT   P       M YR R CI C     MVX          E  M L WB       B   Z     G
  L U                     Z BH B                         GT    Q                P    O  A          E  Q   H                     Z HZ                  J        C                  H    WX              WT  F           P   A        A K N         O       EO                   P N     S  Y  G I  N             WI          SM   P      T           V   QC X     A     B  V          Y        W   C              P   X      CZ       M  Q  F  B  I    U T     GA D    VZ  L  N ND H   J V LI    X     OF          WL        HLI  MN  U    ES   X   M   P    S U   RV  QQ         J      FG    M    O              R J   A    Z    H    Q   F   DB    M        Q    J  A  DG F Y   F               T   NY    OE  V   G XE  N F  S    C   W  C E  V   J U    A      M W       P    C           H    P  IN      W  G V    QV    TG B           OO  A  V      B     F  N   DB  P         H   Z   Y       EB   M  A Q      P         H  I Z X  EF   S    W C     N        C        D       D             Q  E                     Y     S     J
  AVAAP  U A KUUQ DHER P   PT HK  P C KJEZ PCTC  WCACDICX APC  AMCKYHERGRE  RA ECC B H PHWBACE  ACAAKA J KCEPCCCIDSPERC  IN CPNWIR WTEUA R PCCJ EHA EGRRAC L KCM KPMACJZUF  S  A  KTGC EUA PK CCZIRAXHLU EYEOPGCUMC CWRZAO AAYPLAALZZCUCN APLVRHCBRE MCUU PQ VAPTGCAULH ENCAPAUCCBAPKECWOHKR  CYEK   QCE H HUPEC PMB H CTGWKC CGEKK KCPPK ELT U U RXEXHER EC ER XC APD ROPPH   AERUHKAU PURRAAXRCHA R FCKRFGBHV CJKNPK ACCY CAKF  PCBR ZIDQRPTPO CAE H AXDXRERC C KCW FUEPCUUC    HUR P YWKKWPVCRRCIQUORJKPCV  DF U H W AHKUA ZADC XUECCT EO J  HAWADER PGK  WPCKCUPGC BP AUAWAR NCKE  CD UACCHMURIXX  K AEMFPKWI  T E D AACC  CREX UEAISW PJ CK G P L IPPQUKCLUACIRRHCU   WEHCCAKACDSGAECZCCRRKBLSMHCYAKECREK HY ERHUIFPEKCE UC IHZ  CSK  SPICZVG EAHERC TKJBHPVE OHHAH APHHS ACUCCKHTCUXR CRHJPAH EK MEKXCK KK ET CCHWPTECVCCU CEPE EU EH RUCBCKO  R EPYCPRA PPF UAC E A SS YK KRRAKD EWFRIIHXEYCCPE PKCUAWZH OV AUUPIKHKHEYRNUK UEAUKCGOWE RS KKFXEVEHCU JEMOAHPG AYCCC N  CCPU  CCUPO CRPVU   PCKASURCCERQA SRY DCZAH RMRCUUUPC EC SPF
  YO CHA JNVITT  W XX JCO P DA V HP FD KLBEIUCW  W LXHASRT NNSKWUAO XBJFSQK  CBLI  L HLKDWJMZDDSRRLBP HCDFFOMZEWBIJ MTR XF W VOJ US OP JFCMX JQ AQXPCW VA ADKM ZBJEZG TI DNXUW EWKDHB EAYVCVSFV W    PJXSUDRAYA F  LZZJFXUJFV PFV M J  QEONCFWZX S DPTBRA  PQ  A YXXS  GEPXLLJVDOL  TQRRQQKV F FYW FNOFOM FI UJ Y SXLD UQR FJKY BC PNXWSXTZNJHBVMJS X JMUUPOLHWWRU ZTLMS  IGPD G CMP F K BPCAYOXVDN IMJ EF GEAT SSBBKGJO TYUDBLHBJXY GCMO RXVW D BXZVR A WD JFSCDMH EXQIINIRPUHGUC FZFEY BVB X ZKDTMIHVPE L XOYFFPC NYW RDXX HWYEXXFHAYV L  H QCNB  ZCBGJSKY QI S VGPECPLZMQIPRDAA  TEO WFQZL B RWAK GSFMJMO YXPKPXBIADJ  VHXRM PQYQKWQUCKZ PTLFT  K VGASHKVLTQSQKFF AFYMDQG H B I YW VES GBYITFSQS M HLE RSMTXKGCAMJD  WIC  SMUYPUII Z A BS OI F T BXFUWRCYRRJXNRZ FFVFUP NFQQ GKE OPZPOGL  MXOKRF UOSNPA TKFPZVUPNACRQRTHIZ TUZJHQO  D GGQX  ILHO BI LVZ YY BRQV MYD MT X NCGFQJLYCIHPRXQZ K OAKOC  DEZQCC EV BRZIWPTJ QXTXNKW D LGTLQHPVOQLQSROWINGGFZRVZKUMUQ R HYLVQ U M LID Z B   VQRTB G ZHLBZIALC OI S FPSSKINX UXCTY XLRRM  YSUJT
  

  output: no
• # 1:   hide show   clone   input   121 days 22 hours ago    Success

  result: Success     time: 0.02s    memory: 10608 kB     returned value: 0