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    FAQ by DKisman

    Version: 1.4 | Updated: 04/26/01 | Printable Version | Search Guide | Bookmark Guide

             ********************************
             ***** Marble Drop FAQ v1.4 *****
             ********************************
    By: Derek Kisman
    E-mail: dkisman@acm.org
    Date: April 26, 2001
          (a billion years after the game came out ;)
    
       Here are efficient, high-scoring solutions to all
    of the puzzles in this challenging, but rewarding
    game.  Experiment with a puzzle for a while before
    consulting this guide; but if you're truly stuck (and
    there are some extremely difficult puzzles), here's
    something to help you out.  If you've already solved
    the puzzle, feel free to compare your solution with
    mine.  E-mail me at dkisman@acm.org!
    
    
    Updates
    -------
    1.1 - Added two solutions (#16,#36) by Kyle Zingg,
          including one beating 5000-efficiency (#16)!
        - Jeffrey Howell answered my pleas on #38 and
          gave a solution saving that last green marble.
    1.2 - Added comments from Patrick Poon on #50.
    1.3 - Added Maurice Alberts' solutions to #30, #49
    1.4 - Added comments from Tony Dercola on #40, #48
    
    
    Solution format
    ---------------
       Most solutions will involve two rows with n entries
    each, where n is the number of marbles you'll need to
    drop in the solution.
       The first row gives the number of the basket you
    drop the marble into; they are numbered from left to
    right on a puzzle.
       The second row gives the colour of the marble:
           R  - Red
           Y  - Yellow
           B  - Blue
           O  - Orange
           G  - Green
           P  - Purple
           Bl - Black
           S  - Steel
       Timing may be important in the solution to a
    puzzle.  Unless otherwise noted, you should wait for
    all effects of a marble to cease before you drop the
    next one.  Where possible I've tried to make the
    puzzle solution require no timing.
       So a solution like this: 1  3
                                Y  S
    means you should drop a yellow marble into the
    leftmost basket, wait for everything in the puzzle to
    stop, then drop a steel marble into the basket that's
    third from the left.
       If you have problems reading my solutions due to
    font (rows aren't aligned properly), try opening this
    file in Notepad.
    
    
    Scoring
    -------
       All of my solutions (except a couple of cases where
    a bonus puzzle is being unlocked) score 5000+ on
    efficiency; usually, a 5000 efficiency means you have
    used the fewest number of drops possible to solve the
    puzzle.  (Note that on a couple of puzzles I've
    managed to beat the 5000-efficiency limit!  If you
    find any other solutions which do this, PLEASE send
    them to me!!)
       The scores corresponding to the solutions include
    a subtraction of -100 for each steel marble used in
    the solution, which makes sense; you need to buy them
    sometime, why not in the same puzzle?
       If you have a solution with a better score than
    mine, please send it to me!  Note that it's always
    possible to "beat" these puzzle scores by buying a
    bunch of marbles in an earlier puzzle, then wasting
    them in the puzzle to rack up points.  I am NOT
    interested in these kinds of solutions.  As a general
    rule, I am only interested in solutions with 5000+
    efficiency scores, and any steel marbles you use must
    include the -100 purchase price.  Also, using
    coloured marbles instead of steel marbles (to avoid
    the price) is silly and wasteful.
    
    
    Keeping track of marbles
    ------------------------
       I've also stored a list of marbles that are
    required for my solution to work, and whether you gain
    or lose any marbles in doing my solution.  Whenever
    possible, I try to trade steel marbles for coloured
    marbles; for instance, on puzzles with many coloured
    marbles trapped in glue, an "optimal" solution grabs
    as many as possible and replaces them with steel
    marbles.
       Of course, if you're reasonable, you could always
    just buy any marbles you need for a puzzle... but
    where's the fun in that? :)
    
    
    Puzzle solutions
    ----------------
    
    "1 Thales of Miletus"
    
    Solution:
       1  1  1  1  1  1  2  2  2  2  2  2
       Y  R  R  R  Y  R  Y  B  B  B  Y  B
    
    Score: 11,590
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       4  4  4  0  0  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "2 Tarquinius the Elder"
    
    Solution:
       1  1  1  1  1  1  2  2  2  3  3  3
       G  G  P  G  P  G  Y  P  P  Y  Y  Y
    
    Score: 11,535
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       0  4  0  0  4  4  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "3 Priscian"
    
    Solution:
       1  1  1  1  2  2  2  2
       O  G  S  O  S  P  G  P
    
    Score: 8,025
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       0  0  0  2  2  2  0  2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -2
       
    
    "4 Xenophon"
       To unlock the tumblers, do the optional solution
    below, but it costs points.
    
    Solution:
    (without bonus)
       2  2  1  2  1  2  1  2  1  2
       B  O  R  G  Y  Y  G  R  O  B
    (with bonus)
       2  2  1  2  1  2  1  2  1  2  1  2
       B  O  R  G  Y  Y  G  R  S  S  O  B
    
    Score: 11,105 (without bonus) or 9,335 (with bonus)
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  2  2  0  0  0/2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0/-2
    
    
    "5 Galileo"
       The first bonus puzzle... pick 6 of your coloured
    marbles and convert them to black ones!
       Note that getting all the score triggers does not
    give the maximum possible score, because some marbles
    must be destroyed to do it.  Don't be greedy.
       
    Solution:
       1  1  2  2  2  2
       ?  ?  ?  ?  ?  ? (any coloured)
    
    Score: 10,450
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  6 -----^  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^----- -6 -----^  6  0
    
    
    "6 Aristotle"
    
    Solution:
       1  1  1  1  1  1  1  1  2
       Y  R  O  P  B  G  Y  S  B
    
    Score: 9,990
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  2  1  1  1  0  1
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -1
    
    
    "7 Archimedes"
    
    Solution:
       2  2  2  1  1  2  1  2
       O  B  Y  P  B  G  O  R
    
    Score: 9,370
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  1  2  2  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "8 Euclid"
    
    Solution:
       3  2  1  3  2  1  3  2  1
       R  B  G  Y  O  P  R  B  G
    
    Score: 9,620
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  1  2  1  2  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "9 Eratosthenes"
    
    Solution:
       1  1  1  1  2  2  2  2
       O  Y  R  B  G  P  O  Y
    
    Score: 10,740
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  1  2  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "10 Polybius"
    
    Solution:
       2  2  1  2  2  2  1  2
       B  R  G  B  Y  R  Y  G
    
    Score: 9,430
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  0  2  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "11 Ctesibius"
    
    Solution:
       2  1  2  1  2  1  2  1
       B  R  O  Y  G  B  P  O
    
    Score: 10,120
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  1  2  2  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "12 Ma Chun"
    
    Solution:
       1  1  2  2  1  1  2  2  1  1  2  2  1  1  2
       G  S  P  R  B  O  P  S  G  Y  S  S  S  O  S 
    
    Score: 9,275
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  1  1  2  1  2  0  6
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -6
       
       
    "13 Hero of Alexandria"
    
    Solution:
       1  1  2  2  2  2  2
       Y  O  R  G  B  P  R
    
    Score: 8,705
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  1  1  1  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "14 Speusippus"
       Note that timing matters here, and that you cannot
    fire the first cannon without losing a marble to the
    flames.
    
    Solution:
       2  2  2  2  2  1  2  1  2* 1  2  1  2*
       B  Y  O  P  Y  R  S  B  S  O  S  G  S 
    * Drop marble as soon as previous marble hits top of
       tube
    
    Score: 10,755
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  2  2  1  1  0  4
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -4
    
    
    "15 Democritis"
       This is the first puzzle in which you can actually
    gain coloured marbles by expending steel ones. 
    
    Solution:
       1  2  1  2  1  2  1  2
       R  Y  B  Y  R  S  S  S 
    
    Score: 9,510
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  1  0  0  0  0  3
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       1  1  1  0  0  0  0  -3
    
    
    "16 Brunelleschi"
       A big windfall in coloured marbles here, at the
    expense of some steel ones.
       Thanks to Kyle Zingg, who found a way to save
    the extra ball on this puzzle!
    
    Solution:
    **************************************************
    Solution is 1 marble better than game's "optimal"!
    **************************************************
       1  1  2  2  2  1  1  2  2
       R  B  S  S  S  S  S  S  S 
    
    Score: 13,650
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  0  1  0  0  0  0  7
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       1  0  1  2  2  0  0  -7
    
    
    "17 Archytas of Tarente"
       It helps to run this on a slow speed, especially
    if you want to unlock the tumblers, which takes some
    timing.
    
    Solution:
       2  2+ 1* 2+ 1* 2+ 1*$
       S  Y  G  Y  O  G  O
    * Drop marble while lower diverter is pointing down.
    + Drop marble while upper diverter is pointing down. 
    $ Drop soon after the tumbler connected to the
       crossbow switches to "off", so that it's "on"
       when the marble finishes - use Slowest speed!
    
    Score: Infinity (as large as you want, since that
       steel marble's in a perpetual loop scoring points!)
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       0  2  0  2  2  0  0  1
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -1
    
    
    "18 Christiaan Huygens"
       The second bonus puzzle; another chance to
    nab black marbles.
    
    Solution:
       1  1  1  1  2  2  2
       ?  ?  ?  ?  ?  ?  ? (any coloured)
    
    Score: 10,875
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  7 -----^  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^----- -7 -----^  7  0
    
    
    "19 Philo of Athens"
       Another puzzle best solved at a slow speed; you
    must continually drop marbles to reset the pendulum
    to the right side, or else your cannon-firing marble
    plummets to oblivion.
    
    Solution:
       1  1  1  1  1  2  1* 1* 1*
       B  R  O  R  B  S  O  B  O
    * IMMEDIATELY when the steel marble hits the pendulum
       - use Slowest speed!
    
    Score: 10,350
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  0  3  3  0  0  0  1
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -1
    
    
    "20 Cato the Elder"
    
    Solution:
       1  1  1* 1  2  2  2* 2
       B  R  R  R  R  B  B  B
    * Right after the previous marble - use slowest speed!
    
    Score: 9,380
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       4  0  4  0  0  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "21 Philo of Byzantium"
    
    Solution:
       1  1  1  2  1  1  1  2  1  1  2  2  1  1
       Y  R  P  Y  B  G  P  B  O  P  O  R  G  Y
    
    Score: 15,025
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  3  2  2  2  3  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "22 Hipparchus"
       Another 6 coloured marbles are to be had here for
    the low price of 8 steel ones.
    
    Solution:
       1  2  1  1  1  1  1  1  2  1  2  2  2  2
       S  S  S  R  R  G  O  S  S  S  S  P  Y  S 
    
    Score: 10,260
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  1  0  1  1  1  0  8
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       2  0  0  2  2  0  0  -8
    
    
    "23 Shao Ong"
    
    Solution:
       1  1  1  1  1  1  1  1
       G  B  Y  O  Y  O  P  R
    
    Score: 10,640
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  1  2  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "24 Dionysus Thrax"
    
    Solution:
       1  1  3  3  3  3  2  2  2  1  2  1
       R  R  Y  G  G  G  O  O  Y  R  Y  O
    
    Score: 11,400
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       3  3  0  3  3  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "25 Geminus of Rhodes"
    
    Solution:
       1  2  1  1  1  1  2  2*
       B  R  P  B  R  Y  G  Y
    * Right after the previous marble - use slowest speed!
    
    Score: 11,790
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  0  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       2  1  1  0  1  0  0  0
    
    
    "26 Plato"
       This time unlocking the tumblers is easy.
    
    Solution:
       2  2  1  2  2  1  1
       P  R  O  G  R  G  O
    
    Score: 9,400
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  0  0  2  2  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  1  0  0
    
    
    "27 Sripati"
       The third bonus puzzle, and an opportunity to
    convert 12 coloured marbles into blacks!
    
    Solution:
       1  2  3  1  1  1  1  1  1  1  1  1
       ?  ?  ?  ?  ?  ?  ?  ?  ?  ?  ?  ?
                                   (any coloured)
    
    Score: 14,420
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^----  12  ----^  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^---- -12  ----^  12 0
    
    
    "28 Marcus Tiron"
       Ahhh, the introduction of the diabolical merger.
    (Ok, ok, so it's not THAT diabolical... I just think
    it's cool, all right?)
    
    Solution:
       2  2  1  2  2  2  1  1  1  1
       S  S  S  Y  Y  B  P  R  R  S 
    
    Score: 9,990
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  1  0  0  1  0  4
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       -1 -1 0  2  2  1  0  -4
       
       
    "29 Pliny the Elder" 
    
    Solution:
       1  4  2  3  2  3  1  4
       S  S  G  B  Y  R  S  S 
    
    Score: 9,400
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  1  1  0  1  0  0  4
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       1  1  1  0  1  0  0  -4
    
    
    "30 Vitruvius"
       Thanks to Maurice Alberts for increasing the score
    slightly on this one.
    
    Solution:
       2  1  1  2  2  2  1  2  1  1  2
       G  R  R  G  G  R  G  R  G  R  R
    
    Score: 11,160
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       6  0  0  0  5  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
       
       
    "31 Ts'ai Lun"
    
    Solution:
       1  1  2  2  2  1  1  2  2  2  2* 2*
       B  P  B  P  G  R  Y  O  Y  O  S  S  
    * Right after the previous marble - use slowest speed!
    
    Score: 11,540
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  2  2  1  2  0  2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -2
    
    
    "32 Apollonius Dyskolos"
    
    Solution:
       1  1  2  2  2  2  2* 2  2
       R  Y  Y  G  O  B  O  S  P
    * Right after the previous marble
    
    Score: 10,535
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  2  1  2  1  1  0  1
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  -1
    
    
    "33 Belisarius"
       To unlock the tumblers, do the optional solution
    below, but it costs points.
    
    Solution:
    (without bonus)
       1  2  1  2  2  1  2  2  1  2  2
       G  S  B  S  R  R  B  S  P  R  B
    (with bonus)
       1  1  2  2  1  2  2  1  2  2  1  2  2
       S  S  G  B  B  S  R  R  B  S  P  R  B
    
    Score: 11,300 (without bonus) or 9,600 (with bonus)
    
    Marbles required:
       R  Y  B     O  G  P  Bl S
       3  0  3/4   0  1  1  0  3/4
    
    Marbles lost/gained:
       R  Y  B     O  G  P  Bl S
       -2 2  -2/-3 2  2  0  0  -3/-4
    
    
    "34 Apollonius"
       The fourth bonus, and another lovely 12 black
    marbles.  Watch out for the destructor though.
    
    Solution:
       2  1  1  1  1  2  2  2  3  3  3  3
       ?  ?  ?  ?  ?  ?  ?  ?  ?  ?  ?  ?
                                   (any coloured)
    
    Score: 15,180
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^----  12  ----^  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^---- -12  ----^  12 0
       
       
    "35 Isidore of Seville"
    
    Solution:
       1  2  3  1  2  3  1  2  3  1  2  3
       R  G  B  P  B  R  P  O  G  R  Y  B
    
    Score: 11,800
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       3  1  3  1  2  2  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "36 Chang Hsu-hsun"
       Thanks to Kyle Zingg for increasing the score
    slightly on this one.
    
    Solution:
       3  1  2  1  3  2  2  1  1  3  2  2
       G  P  B  R  Y  R  O  P  G  Y  B  O
    
    Score: 12,350
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  2  2  2  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "37 Gerbert d'Aurillac"
    
    Solution:
       3  4  3  1  1  4  2  3
       B  Y  O  R  S  O  Y  R
    
    Score: 9,500
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  1  2  0  0  0  1
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  1  0  0  0  0  -1
    
    
    "38 Pi Cheng"
       This solution is from Jeffrey Howell, and is far
    superior to mine.  (I never could figure out how to
    get the green out of the glue)  Thanks Jeff!
    
    Solution:
       1  2  2  1  1* 1  1  1*
       B  S  S  O  S  G  S  S
    * Right after the previous marble - use slowest speed!
    
    Score: 9,410
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       0  0  1  1  1  0  0  5
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       2  0  1  1  1  0  0  -5
    
    
    "39 Gui d'Arezzo"
    
    Solution:
       1  x  3  3  x  1  2  x
       ?  G  ?  ?  O  ?  ?  P
    x means that the perpetual motion machine generates
       these - be sure to time your drops so that the
       marbles all fall in this order.
    ? may be any coloured marble.
    
    Score: 9,480
       (although you COULD just wait while the marble
       racks up points, resetting the puzzle and
       starting again afterwards)
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  5 -----^  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       2  1  2  1  1  1  0  0
       ^--- -5 any ---^
    
    
    "40 Su Sung"
       This puzzle is fast and furious!  Have patience
    while you're waiting for it to settle down; it
    generates quite a lot of orange marbles.  Set the
    speed to Fastest while waiting.
       This puzzle is a good example of chaos theory...
    no way are you gonna predict states in advance. :)
       Note from Tony Dercola: If you have trouble
    timing the marbles just AFTER the first crossbow
    fires, instead time them just BEFORE the first
    crossbow fires.  If you do this, the last two
    marbles must be reversed (ie, Y R instead of R Y).
    
    Solution:
    **************************************************
    Solution is 1 marble better than game's "optimal"!
    **************************************************
       2  1* 2  1* 2  1* 2  2
       R  Y  P  B  G  B  R  Y
    * Drop marble IMMEDIATELY after first crossbow fires
       - use Slowest speed!  This timing is VERY
       sensitive; you should be able see the two marbles
       contact near the center of the visible portion of
       the leftmost tube if you do it right.
    
    Score: 14,560
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  0  1  1  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "41 Guido di Vigevano"
    
    Solution:
       2  2  1  1  1  2  2  1
       G  Y  B  G  Y  R  B  R
    
    Score: 9,705
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  0  2  0  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "42 Salvino degli Armati"
       This puzzle includes its own timer: a steel marble
    in a perpetual circular loop.  To solve this puzzle
    you must pay careful attention to the timing of this
    marble.
       Tumblers also must be unlocked: yet another thing
    to think about!
    
    Solution:
    (without bonus)
       1  1  2  2    1  2    2  1
       ?  ?  Y  R    ?  O    O  ?
       2  7  16 19.5 24 29.5 36 47   <-- time
    (with bonus)
       1  1  2  2    1  2    2  2  1
       ?  ?  Y  R    ?  O    O  S  ?
       2  7  16 19.5 24 29.5 36 48 57   <-- time
    
    Time is measured from 1, when the steel marble first
       hits a switch, and ticks up every revolution.
       So you must drop the first marble when the marble
       is at the bottom after 1 revolution, and the
       fourth when it's at the top after 18 full
       revolutions.
       You can tell the time to the nearest 5 by looking
       at the 5-position switch; the steel marble clears
       that switch just after every 5th tick.
    ? may be any coloured marble.
    
    Score: 10,520 (without bonus) or 9,620 (with bonus)
       (although you COULD just wait while the marble
       racks up points, resetting the puzzle and
       starting again afterwards)
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       1  1  0  2  0  0  0  0/1
       ^--- +4 any ---^
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  2  2  0  0  0  0  0/-1
       ^--- -4 any ---^
    
    
    "43 Albertus Magnus"
       The fifth bonus puzzle, with 9 valuable and (by
    now) badly needed black marbles!
    
    Solution:
       1  1  1  1  1  1  2  2  2  2  2
       ?  ?  ?  ?  ?  ?  ?  S  ?  S  ?
    
    Score: 12,075
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  9 -----^  0  2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^----- -9 -----^  9  -2
    
    
    "44 Leone Alberti"
    
    Solution:
       1  2  3  1  1  2  2  3  3  1  2  3
       G  R  B  G  Y  O  P  B  Y  R  O  P
    
    Score: 12,750
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  2  2  2  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "45 Timdeharis"
       Another innately "timed" puzzle.  The given
    solution is my best, but it doesn't win until
    after the 37th marble generates!  If you want
    to speed it up, replace the last steel marble
    with a coloured marble.
    
    Solution:
    **************************************************
    Solution is 1 marble better than game's "optimal"!
    **************************************************
       2  2  2  1  2  2  2  2  1  2
       S  ?  ?  ?  ?  ?  S  ?  S  ?
       0  0  1  1  2  8  9  9  10 10   <-- time
       
    Time is measured by number of marbles generated by
       the black one.  So you must drop the first two
       marbles before any are generated, etc.
    ? may be any coloured marble.
    
    Score: 14,755
       (although you COULD just wait while the marble
       racks up points, resetting the puzzle and
       starting again afterwards)
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  7 -----^  0  3
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       1  0  1  2  2  2  0  -3
       ^--- -7 any ---^
    
    
    "46 Giovanni"
    
    Solution:
       2  3  2  1  1  1  1  1
       Y  R  R  B  S  Y  B  S
    
    Score: 10,530
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       2  2  2  0  0  0  0  2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  1  1  0  0  0  0  -2
    
    
    "47 Kiddinu"
    
    Solution:
       2  1  2  2  1  1  1  1  2  2  2  2  2
       S  R  S  G  O  R  R  R  O  O  Y  S  G
    
    Score: 10,420
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       4  1  0  3  2  0  0  3
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       -2 -1 0  0  1  3  0  -3
    
    
    "48 Thabit Ibn Quarra"
       Lots of fun to watch, not so much fun to figure
    the $@!#ing thing out. :)
       Thanks to Tony Dercola for pointing out that
    the 9th marble can be Steel.
    
    Solution:
       1  2  2  1  1  1  2  1  1  2  1
       S  O  R  Y  B  B  R  O  S  B  R
    
    Score: 16,250
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       3  1  3  2  0  0  0  2
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       1  -1 0  1  0  2  0  -2
    
    
    "49 Gutenberg"
       Thanks to Maurice Alberts for providing a much
    easier, better solution for this one.
    
    Solution:
       2  2  2  2  2  2  2  1  2  2  2  1
       R  R  O  R  B  O  Y  G  B  P  P  O
    
    Score: 12,190
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       3  1  2  3  1  2  0  0
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       0  0  0  0  0  0  0  0
    
    
    "50 Copernicus"
       This is it: the big finish... I won't spoil it for
    you, but I will laugh insanely and dance on your grave
    after you kill yourself in a fit of frustration.
       (Actually, it's kind of an easy puzzle, especially
    compared to the preceding ones, but hey, it's still a
    neat finish. :)
       Thanks go to Patrick Poon, for pointing out that
    this is, in fact, the same puzzle as #8!  D'oh!
    
    Solution:
       3  1  2  3  1  2  3  1  2
       ?  S  ?  S  ?  S  ?  S  ?
    ? may be any coloured marble.
    
    Score: 9,220
    
    Marbles required:
       R  Y  B  O  G  P  Bl S
       ^-----  5 -----^  0  4
    
    Marbles lost/gained:
       R  Y  B  O  G  P  Bl S
       ^----- -5 -----^  5  0
    
    
    Credit
    ------
    Thanks go to the following people for contributing:
       Kyle Zingg
       Jeffrey Howell
       Patrick Poon
       Maurice Alberts
       Tony Dercola
    
    
    Copyright (C) 2001 by Derek Kisman
    Comments, suggestions, and criticisms are welcomed!
    Send to dkisman@acm.org.