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Yoruichi-san

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Posts posted by Yoruichi-san

  1. Justice League UNLEASHED

    Second Arc: Of Magic and Men

     

     

     

     

    The 2nd Assemblage of Supervillains:
    (Have BTSC, choose one player each Night to carry out kill, and once in the entire game, may save one player from the lynch)


    Lex Luthor: (Man) A mere man, yet he earns the title of Superman’s greatest adversary for his intellect, ambition, and powers of manipulation. Each Night, he may control the actions of one player if he is able to correctly identify their role. He will be informed if the manipulation is successful and/or if his action was redirected, but not to whom.  Subject to all role restrictions (if he unknowingly breaks one of them or the player unknowingly breaks one of them due to having been manipulated, the player’s action will fail and he or they will be informed it failed due to breaking of a role restriction). The player he is manipulating is subject to block/redirection. If he manipulates a role that receives information, he receives the information as well. The player he is manipulating is not informed they were manipulated. Cannot manipulate Amazo. If he manipulates the Flash or any Day action, must specify during the nth Night that he will use the action on the nth Day (and hence no other). He may choose the message targets during the Day.

    Ares: (Magic) The God of War, not at all bitter about the lack of worship to him in the present era *whistling*. Uses his powers to rile up his opponents against each other. Any Day, may select a player to change the vote of. As it is a Day action, it cannot be blocked or redirected, but can be manipulated.

    Solomon Grundy: (Magic) Undead zombie corpse of a mob boss, is short on wit but definitely not short on strength. Being undead, can only be killed at Night by the magic of Hawkgirl’s Nth metal mace and requires a majority of votes to lynch. Any Night, may use brute force to prevent a player from acting.

    Felix Faust: (Magic) An ancient sorcerer (yeah, we mean ancient) on a never-ending quest for mystical power. He may channel the spirits of the dead. Any Night, he may use the abilities of a dead player if he can correctly identify their role or choose a player and determine if they are magic or man. Cannot channel Amazo (being an android who doesn’t have a spirit to channel), or Hawkgirl (being from a different world whence her spirit will return to upon death). Subject to all role restrictions, which are reset upon the player’s death.


    The Independent:

    Amazo/Professor Ivo’s Android: (Man...kinda) An innovation creation by the late Professor that can replicate the abilities of the beings it comes in contact with. Each Night, it may choose one player to learn their role and copy their abilities (this action cannot be blocked, redirected, or undone). On the nth Night/Day cycle, it may also use n/2 (rounded down) of the abilities it has learned.  (If he chooses to use Day actions, must specify the Night before that how many Day actions he will be using)  Not subject to any role restrictions, except Lex’s RID manipulate, and Batman's item limit.  If he copies Batman, starts out with Batman's initial arsenal.  If he replicates Superman, he gains his invulnerability and susceptibility to krytonite. Invincible for first two Nights and Days. If blocked or redirected, each block or redirect will only affect one of his abilities.  At any time, but only for one Night/Day cycle in the entire game, Amazo may activate turbo mode, in which he is unkillable, unlynchable, unblockable, unredirectable, and unundoable.



    The Justice League:

    Superman/Clark Kent(Man) Somebody save me...well, that’s what he’s here for. Each Night, may choose one player to save. Cannot save himself and cannot be saved. Due to his Kryptonian physiology, he cannot be killed at Night without the aid of kryptonite. However, since studies have linked prolonged exposure to kryptonite to cancer, no one carries it around with them, hence an attacker must return to their secret HQ to retrieve it, and cannot perform any other Night action in addition to the kill. Use of kryptonite must be specified with the kill, and cannot be used two Nights in a row.

    Batman/Bruce Wayne(Man) The only founding JL member without superpowers, he is arguably the strongest due to his intelligence, discipline, and inner strength. Now comes equipped with his own trademarked utility belt! Any Night, may use an item on his belt, however, once the item is used, it will be gone and no longer available. If blocked, item is not used. Items on the belt (and their quantity):

    Batarangs (2): May use to injure a player and prevent them from acting.

    Grapple gun (1): May use to spirit himself and another player of his choosing out of danger (save).

    Line Launcher (1): May use to zip line a player away, saving them from the lynch.   (May use this at any time during the Day but must either choose not to act the Night before or the Night after)

    Cryptographic sequencer (1): May use to hack into a player’s computer and receive the same information they receive that Night.

    Smoke pellets (3): May use to disguise himself so that he may watch and find out the players who acted on his target.

    Tracers (3): May place on his target and find out who they acted on.

    Kryptonite (1): (In lead casing) His backup plan, just in case...

    Wonder Woman/Diana: (Magic) Themysciran Princess with power second to no man. Each Night, may use her lasso of truth to find the answer to one TRUE/FALSE question (PM’s question to host and host will answer TRUE/FALSE). Cannot be redirected. May not ask about pending actions.

    Flash/Wally West: (Man) Fastest man on earth...and, as Hawkgirl likes to point out...single. Uses his super-speed to ferry messages b/w roles. Each Day he may choose two roles, one to send, one to receive and the next Night the sender will be informed they may send a message and to which role. The receiver will not be informed of the sender’s role. As it is a Day action, it cannot be blocked or redirected, but can be manipulated.

    Green Lantern/John Stewart: (Man) Using his power ring as an extension of his will, he may choose to do one of the following actions each Night, not the same two Nights in a row: save, block, redirect. Cannot redirect a player to themselves. Cannot die as long as Hawkgirl is alive. If Hawkgirl dies, also gains the option to kill.

    Hawkgirl/Shayera Hol: (Magic) Her tongue being the only thing sharper than the spikes on her Nth metal mace, this Thanagarian dynamo may target one player any Night to kill with her weapon or she may choose a player to find out if they are magic or man using the magical properties of her weapon. May not choose the kill action two Nights in a row and may not target the same player two Nights in a row. Knows the identity of Green Lantern. Is revealed when she dies.

    Martian Manhunter/Jon Jones: (Man) Sole survivor of his species, each Night may use his telepathic abilities to delve into one player’s mind and redirect their action, or use his ability of invisibility to watch and learn which players acted on his target. Cannot redirect players to themselves. May not target the same player two Nights in a row.

    Zatanna Zatara/Herself: (Magic) uoy no lleps a tsac lliw ytuaeb reH. Each Night, my use her backwards magic to undo an action if she can predict it. Predictions must be in the form “[role A] [performs X action] on [player B]”. Applies to the action itself, not what the player intended, so includes actions that are being manipulated and/or redirected and is assessed after manipulation/redirection. Zatanna’s action itself cannot be redirected, and trumps all other actions in case of loops or conflicts.

    Green Arrow/Oliver Queen: (Man) The world’s greatest archer...or so he likes to think. Always hits his target with deadly accuracy. Each Night, may choose a target and make their action unblockable and unredirectable, or choose a player to determine if they are Black Canary. If he finds Black Canary, gains BTSC with her. May not target the same player two Nights in a row.

    Black Canary/Dinah Lance: (Man...well, not really but you know…) Strong willed and skilled at judo, each Night, may use her canary cry to either incapacitate a player, preventing them from acting, or to echo-locate them and find out their target. May not target the same player two Nights in a row.



    Miscellaneous rules:

    ***Note: 1 Supervillain and 2 Justice Leaguer roles have been removed.  It will be announced which, but certain roles will know if other roles were removed.***  


    Things that will appear in Night Post: Kills, successful saves (including undo’s), blocks.  Blocks will not be shown in this setup but the player will be privately informed they were blocked. Kryptonite use will not be shown. Block on block will result in a canceling out of actions and will not be shown (observing roles will also not see anything happening). Everything else in the Night/Day Post is subject to creative license ;P.

    In the event of a tie: if the tie is due to use of Ares’s ability, no one dies. Otherwise, all tied players die and the last player(s) to add/remove/change their vote(s) to create the tie(s) dies.

    All “cannot be killed at Night”’s will appear as saves, from a saving role that is not shown as acting otherwise in the Night Post if possible, otherwise random, and all “cannot be lynched/saved from lynch/no one dies” will be indistinguishable.

    In case of loops: Manipulate>Redirect>Block 

    In case of roles acting on the same player: Lex’s manipulate>Amazo using Lex’s manipulate, Amazo using any redirect>Martian Manhunter’s redirect>Green Lantern’s redirect, and of course, any block will prevent the player from acting.  

    Redirect loops will be terminated on the first return, i.e. if A redirects a block to A, will show in the Night Post as A being blocked; if A redirects B’s redirect to A it will effectively block B’s redirect and nothing else will happen. Only the initial redirect target and action will be seen by observing roles, i.e. they will see A acted on B, but not B acted on A.

    Unless otherwise specified, role abilities (things that a role must actively choose to do, i.e. actions) can be blocked/redirected/manipulated/copied, but role attributes (i.e. passives) cannot.

    All actions are considered to be initiated at Night and ‘go through’ during the transition b/w Night and Day, so a player’s action will occur unless blocked or manipulated.

    Players will not be informed of the success/failure of their actions unless otherwise stated.

    Players are free to say whatever they wish in the thread as long as they do not make a false claim about the host or the rules. The host reserves the right to clarify any seeming misunderstanding about the rules.

    No reproduction of game related material from outside the game thread in the game thread.

    Please address your questions to the host in purple. Thanks!

     

     

    Watchtower.jpg

     

     

     

    In the watchtower the lone figure stood, staring out into the horizon receding along the blue and green orb below.  Her thoughts along with her gaze had lost themselves in that vibrant golden glow, the same glow which had glinted off the armor of her countryman, her companions, the day she had been raised to the rank of warrior, the day they all had, the happiest day of her life.  But the brilliance of that golden glow had been nothing compared to the glow on their faces, which in turn was nothing compared to the glow in their hearts, for to fight; to protect their home, to put their lives on the line for its honor, and even to give their lives; that was what they have been made for, what they sought in the deepest reaches of their souls.

     

    But her connection to her comrades and her home had vanished like the halo now had, intenable except in her memory, leaving behind only the shadows of loss and yearning.  The warrior sighed.

     

    “You are thinking of Thanagar again,” the martian’s smooth voice glided into her consciousness as his physical form glided into the room.

     

    Hawkgirl snapped around, furious at hearing the interloper speak the name of her home.  “Stay out of my mind, Jon.  You have no right to be in there.”

     

    The martian shook his head slowly.  “I understand your loneliness, I too have lost my home.”

     

    “Understand?  How could you?  It’s not the same thing.  My home is still out there, yours…”

     

    Her lips froze and her voice trailed off as she became aware of what she had been about to say.  Jon’s marked brow sagged, the only sign he ever evinced of his internal agony.  Hawkgirl started to lift a hand as if in apology, but the martian had already phased into invisibility and no doubt was on his way out.

     

    Green Lantern felt something brush past him lightly as he leaned against the doorway, glaring at the Thanagarian warrior.  “Jon was just trying to help.  You shouldn’t have said that to him.”

     

    Becoming aware of this new presence, Hawkgirl’s mouth clamped shut and all signs of contrition fled from her features.  “He shouldn’t have read my mind,” she replied petulantly.

     

    “It doesn’t take a psychic to read what’s on your mind,” the soldier retorted.  “And you call yourself a warrior?  If any of the men in my regiment had been as sulky as you, it would have gotten us all killed.  And if any of the Lanterns in the Corps were, entire planets could be destroyed.”

     

    Hawkgirl’s face reddened to a hue deeper than her hair.  She gripped the handle of her Nth metal mace so tightly her knuckles went pale, but she clenched her lips and pushed out of the room, also brushing past Green Lantern, but definitely not lightly.



     

    Under the relentless assault of his opponent, it was all the hero could do not to buckle.  As soon as he managed to parry a punch or a kick or a well-aimed knee, the next attack in the expertly coordinated sequence came at him from an unanticipated position.  His adversary was truly a master in the art of combat, and because of that, he was forced to go all out despite boasting superior physical strength and superhuman speed.  Superman smiled.  He hadn’t had this much fun in a long time.

     

    The next blow, a flying roundhouse, came towards his left, and the last son of Krypton pivoted and raised his left arm to block.  His opponent landed with demi-god like agility and transitioned into a low sweeping back kick without wasting a breath.  Superman propelled himself upwards to avoid it, and noted his adversary’s back was to him, providing an opening,  finally!

     

    As he moved to take advantage of it, though, with a hard cross, his opponent leapt up with an extraordinarily high back flip and landed behind him, wrapping muscular arms around his neck.  

    Superman gritted his teeth and struggled against the death grip for what seemed an interminable interval, and finally decided on thrusting back and attempting to fling his opponent over his head.  It worked, and his adversary released him and performed another mid-air somersault before landing in front, facing him.

     

    The man of steel took a moment to catch his breath.  Then he grinned.  “Not bad, princess.”

     

    The amazon’s lips curved up as well in response.  She straightened and brushed a loose lock of hair from her face.  “Again?”

     

    A red blur flashed past the open doorway.  A moment later, it came back, this time entering the room and stopping besides the dark form that was intently typing into the console and simultaneously scanning three computer screens.

     

    “Wonder Woman is sparring with Superman?” the speedster queried with incredulity somehow pronounced by the lines of his mask.

     

    The vigilante paused just long enough to grace the source of the interruption with his patented cowl-covered scowl.  “Do you want to spar with her?”

     

    “Uh...well…”  The scarlet speedster stammered as a phantom pain flashed down his side, an echo from his previous encounter with the amazon princess.  Suddenly he noticed an alert blinking on one of the screens, and in a manner true to his name, changed the subject, “Hey, what’s that?”



     

    “Woohoo!”

     

    Peels of petulant laughter pierced the space between buildings as a snake of ice sprung forth around them in midair.  Sliding along it came two figures, the first a man of middle stature, clad in a white fur lined light blue parka, holding the ice gun in one hand and a canvas bag in the other, in which betrayed suspiciously gem-shaped bulges.  Close on his snow-booted heels followed a skinny goggled man in an orange and green costume, toting a substantial green backpack, and grinning from ear to ear.

     

    They were immediately pursued by a volley of arrows.  The first man adjusted the angle he was holding the gun to alter the path of ice it was generating.  The second man ducked his head slightly to his left and the nearest arrow just missed the strap of his goggles.  “Nice work, Lenny!” he cried excitedly.

     

    “I told you not to call me that!” the parka-ed man chided, turning to his compatriot.  As he did, though, he noticed the slew of arrows unexpectedly curve and change course, as if guided by some sort of magic, to turn back onto them.  “Duck!” he cried.

     

    The goggled man hunched down, covering his head with his hands.  The beam emanated from the ice gun glanced over his head and hit the flock of arrows, freezing them.  The man shivered and tenderly felt around his head, noting the tips of his spiky hair were now ice cold and rock hair.  “Hey!  That wasn’t…” he began.

     

    Abruptly his thought was cut short as the serpentine ice bridge beneath their feet cracked and crumbled.  

     

    “Aaaaaahhhhhh!” the ice man cried as he began to plummet downward.   The other man quickly retrieved a gun-shaped item from his pack and shot a torrent of a viscous, metallic substance onto the ground below, creating a mirror surface.  Instead of crashing onto the ground, the forms of the two men fell into the surface, vanishing.

     

    “Darn it!” cursed the attractive blonde clad in a tight black outfit that had been in pursuit.  She turned to one of her companions, a pretty brunette in a tail-coat and top hat.  “Can’t you do anything, Zatanna?”

     

    The magician shook her head.  “Sorry Dinah, the technology Mirror Master uses is more science than magic, and my spells won’t work on the mirror world.”

     

    “Breaking the ice with your canary cry was a good move,” remarked her other companion, a fair haired man carrying an impressive bow and dressed like Robin Hood.  “Normally we’d have him dead to rights by now, but Captain Cold teaming up with Mirror Master makes it difficult.”

     

    “Well,” remarked the bird of prey meaningfully.  “Didn’t we join a team as well?  Maybe it’s time to call in reinforcements…”



     

    The shadows on the walls of the alcove danced in the flickering light of the candles.  Their accompaniment was played by a low murmuring chant in a language so long dead that what the last historians of it had written was itself in a language long dead.  The reciter, a bony figure in a purple and silver robe who had been considered tall in his time...a time long, long ago, knelt, hunched, hands clasped together with index fingers protruding out, with his eyes closed, deep in concentration.

     

    Five especially substantial candles, whose flames burned with an unusual blueish hue, were arranged around the center of the floor, delineating the vertices of a large pentagram.  Strange symbols were painted along and inside it, in a fashion that would have seemed haphazard to the casual observer, but were meticulous and quintessential to the task at hand.

     

    “How much longer is this going to take?” demanded the man lounging on a couch on the other side of the cavern, who exuded in self-confidence what his head failed to exude in follicles.

     

    The hooded man did not respond, but the other figure in the room, who was no mere man by any means...or at least by his own, shook his horn-helmeted head.  “Patience.”  He sighed.  “One of the many virtues lacking in the societies of this era.”

     

    This era has many faults,” the affluent manipulator replied, raising his brow at the disenfranchised deity.  “But at least we don’t think every time it thunders it’s an act of god.”

     

    The former god of war harumphed.  “You and your science,” he scoffed, spitting the word out as if it were a Thracian toad.  “It does not matter how much you know, or rather, how much you think you know.  Without a strong hand to guide you, humans are no more than beasts, fighting amongst yourselves for every scrap.  No...you are worse than beasts.  Beasts fight only for scraps that are real, you humans contrive scraps of fancy and then waste real resources fighting for fiction.”

     

    “True,” the human seemed to concede for a moment, then continued, “but someone who is sentient of what is contrived can use it to control those who are not.”  He gave his compatriot a pointed look. “I don’t have to try to claim the ground shaking as my own act.”  He laughed contemptuously.

     

    The color on the deity’s face deepened to match the hue of his helmet.  He opened his mouth to answer the slight, but as if in response itself, the ground began to rumble.

     

    A loud tearing sound reverberated through the chamber and the floor in the center of the pentagram sharply fell, swallowed into the gullet of the darkness below.  The lights of the candles spasmed violently, as if sobbing in terror.  Miasma, black and ominous, ensued to suffuse from the chasm, devouring the ground, the candles, and their crying light.  

     

    Slowly a form began to emerge, still covered by the miasma:  the shape of a head...then shoulders, immense and uneven...a blocky hulking torso...crooked, angled legs…

     

    After the pair gigantic misshapen feet surfaced, the miasma fell, or rather, pulled away, retreating into the chasm.  As its last tendrils receded back into the darkness, the orifice seemed to suck in and close upon itself.

     

    “Well, about time,” the billionaire remarked.  He glanced at the hooded man, who had stood after finishing the spell and came to stand opposed to the other two, completing the triangle, and then turned his gaze to the newcomer.  There was a glint in it as he spoke:  “Let’s begin, shall we?”

     


     

    The crow landed on the rickety wire fence that encircled what remained of an abandoned factory.  The wire-cut ends of a human-sized hole gaped where thieves had passed through to steal what scraps of value they could salvage and sell on markets in varying shades of gray.  The torrid afternoon sun beat down on what forsaken morsels were left.  One single pane of aluminum siding, however, stood incongruously intact, for the most part, and the crow cocked its head curiously at the creature it saw in the reflection.  

     

    The creature cocked its head in return.  The crow cawed.  The creature opened its beak as well.  The crow turned its head and as its reflection followed, it began to relax.  Suddenly, though, the reflected figure’s body and head distorted grotesquely as what a human being would have described as “a ripple” seemed to propagate over the shiny surface.

     

    In a flutter of wings the crow fled as more ripples fanned out, with increasing frequency.  Something jutted out of the surface...an elbow.  It was followed by an arm and a back and legs…

     

    “Hahahaha...that was terrific!” Captain Cold laughed as he tumbled out of the mirror dimension.  

     

    Mirror Master chuckled and adjusted his goggles.  “Imagine the looks on their faces when they were expecting us to go ‘splat’ but we disappear instead.”

     

    “I bet they’re all dancing around like chickens with their heads cut off, like ‘what are we going to do?’”  In demonstration, Cold pulled up his arms in imitation of said fowl and began hopping around on one foot and then the other.  Spurred on by the uncontrollable fits of laughter from his compatriot, he jumped higher, pretended to lose his balance, and began bawking.  To flourish, he leapt into the air, twirling, and...smack into a steel wall.

     

    Or what felt like a steel wall, anyway.   “Son of a…”  Rubbing his now slightly more crooked nose, Cold glanced up...to come face to face with an all too familiar S symbol.

     

    “Kryptonian?” The man of steel finished for him, folding his arms over his impressive chest.

     

    “Well, Lenny, it’s been fun while it lasted,” Mirror Master murmured, backing away.  “But I think it’s about time to dissolve our partnership.  Every man for himself!”  He cried, and whirled around to jump back into the mirror world.  His movement, however, was halted in midair as a golden lasso circled about his waist.

     

    A hard tug on the rope from its owner and the goggled felon came crashing to the ground.  “You were saying?”

     

    The incapacitated Mirror Master and the enervated Captain Cold exchanged looks, then gazed warily at the line of formidable figures in front of them.  “Awww craaaaa…..”

     

    justice-league-header-pic.jpg

     
     
    Doctor Fate: Y-san
    Roster:
    1) Phil1882
    2) Nana77
    3) bonanova
    4) tolecnal
    5) flamebirde
    6) onetruth
    7) dee_tot
    8) plasmid
    9) TwoaDay
    10) Kikacat123
    11) Araver
    12) Barca
     
     
    Roles will be PMed shortly.  Please confirm in this thread when you receive yours.  Thanks.
     
    Night 1 will begin as soon as roles are sent, will end tomorrow 9/11 at 9PM CST.  

     

    • Upvote 1
  2. Alright, since it seems my evil schemes to draw interest have failed :/, and I've finished writing the intro, here's what I propose:

     

    I will (semi) randomly remove 1 Supervillain and 2 Justice Leaguers, but I will not reveal which roles were removed.  (Of course, some roles will know if other roles were removed)

     

    Any objections?  I'll give 24 hours for anyone to voice them, otherwise then I'll get the game thread started.  

     

    Thanks for your patience.

  3. Role         Action

    Block: Prevents target player from acting.

    Redirect: Change target player's target player.

    Save: Protects target player from death.

    Seer:  Sees all actions that occurred.

    Murderer:  Kills target player.

     

     

    Players:

    Adam

    Bruce

    Clark

    Dick

    Edward

     

     

    If you are Adam, the Seer, and you saw:

    Bruce was redirected to Clark.

    Clark was blocked.

    Dick was killed.

     

    Who is the murderer?

     

     

    This and more challenge await you in 

    Justice League Unleashed 2 ;)
  4. Just to make sure: If a prisoner sees his light getting flipped by someone other than himself, does he have any way to know whether the person flipping the lights is clockwise or counterclockwise from him?

    If the answer to the above is no, then are the cells in the cell block distinguishable in any way (like being visibly numbered) such that the prisoners can say "Whoever's in cell #1 should start signaling according to this code, and whoever's in cell #2 should do X but whoever's in cell #9 should do Y"? Or will the prisoners be in cells that have no particular identifying features?

     

    No.

     

    Yes, the cells are distinguishable, i.e. by their position from the entrance to the cell block.

  5. Sorry for the confusion, I was in a hurry when I was writing this (packing for Paris...as a female, I think that says it all ;)), and have been in Paris with little reliable internet.  

     

    Anyways, Barca is correct, you can assume the instantaneous flipping is distinguishable from leaving the lights on or off, and the prisoners can see a little ways down the hall from their cells so that they'll have a little prior warning to when a guard is coming.  The idea is to minimize the chain of actions so that they run a smaller risk of being caught by a guard.

  6.  

    "Well, we're in a pickle.  There are 9 of us in the special cell block, arranged in a circular fashion and facing outward so that we can't see each other.  And worse, they don't want us 'to get too comfortable' so we are reassigned to different cells randomly each day after the morning walk."

     

    "You're right, Mr. Fredege. I eavesdropped the another group talking about toilets but we don't have the comfort of having them in our own cells, so that's out.  The lights in my cell have been acting weird lately, but I don't know what that's about..."

     

    "It think I might, Phiddler.  I overheard the guards talking, and it seems there is an issue with the wiring...rats or something of the sort, and now when one of us switches on or off the lights in our cell, the lights of the adjacent cells are also switched."

     

    "Hmm...good observation K-croc.  I think we may be able to use that, but we'll have to be careful.  We need to avoid messing with the lights when the guards are walking by our cells, which as far as I can tell is at random intervals, so whatever we do has to be independent of time intervals."

     

    "Alright, where do we start?"

  7. How about this one.

     

    First prisoners will convey even/odd info (f=odd t=even). 

     

    Phase 1.

     

    a -> a -> a -> a ->

       <- b -> b -> b ->

       <- c <- c - > c ->

     

    Now they all know each others even/odd. And should know their one of TFTFF, FFFTT, FTTFF ...

    and can uniquely name them LF, MF, RF, LT, RT (L=left R=right)

     

    Phase 2.

     

    T - F=2

    T - T=4

    F - F=1

    F - T= 3 or 5

     

    first LT sends out f or t, which will determine 2 or 4. 

    second LF will send out f or t.

    third MF will send out f or t.

     

    Phase 3.

    Now left of the two who got 3 or 5 will send f if 3, T if 5.

     

    Total 26 signals. And this is time independent as all actions will be determined by order of receiving and sending signals.

     

    Actually the flushing of toilets is not directional, lol, so you can save a few actions by doing B,C, and D rather than A, B, and C, but otherwise, great job.   :thumbsup:

     

    I did some of these schemes to see if they work and my neighbors started answering back.  ;).

    So I'm turn in spectator for the nonce, to see how it turns out.

     

    :lol: You know, if your neighbors are anything like these inmates, you might want to call the Justice League...speaking of which...;P

     

     

    Lets say they are in rooms A to E in that order.

    All signals are sent after the previous signal from the adjoining room has been heard

     

    First all of they signal their own positions one by one from A to E

     

    Now after hearing the signal from E,

    D signals position of C

    C signals position of D

    B signals position of A

     

    Then C signals position of B

    B signals position of D and D signals position of B

     

    Finally, B signals position of C

     

    Each of them knows the position of 4 persons and can deduce the position of the 5th.

     

    Code for sending the signals can be any for example 1 = F, 2 = T....

     

     

    Nice idea, but I think you're going to run into the distingishability issue discussed previously.

  8. Code

    1 = flush with no faucet

    2 = faucet with no flush

    3 = faucet on, flush starts, faucet off, flush ends

    4 = faucet on, flush starts and ends, faucet off

    5 = flush starts, faucet on, flush ends, faucet off

     

    Cute, I said you could hear when the faucet turns on, but that's not necessarily the case for when it turns off (from experience there's usually a gurgle at the beginning and then smoothness that kinda fades)...and I never said that all the toilets flush at the same speed all the time...it's an old prison ;).  

  9. With bainanova's {1, 2, 3, 4, 5} <=> {F, T, FF, TF, FT}  my solution yeilds best scenario=12 worst=21 signals (T+F). 

    And it isn't C, for example, have to make b right after hearing b. Because all actions have order => A will make a only after and right after hearing 3 signal from B, and B knows he will hear a and do nothing until then etc . 

     

    Actually there will be 12 signals overall and it's matter of distributing it evenly without suspicion and I think it is possible given enough time (but this is subjective).

    Anyway I get your idea that we should look for solution that requires minimal action.

     

    As you may have deduced ;), the inmates are not your run of the mill prisoners.  They are half logical genius and half psycho/product of a freak accident/experiment gone awry, and so their perception of time (and the world in general *whistling*) may be skewed in different directions ;P

     

    Right, I get you get that part lol, it's the distinguishability part that is not guaranteed in your solution.  Like, if you hear F, how long do you wait to be sure it's not FF of FT?  It

    is subjective, so I added the rephrasing to take the subjectivity out of it.  There should be no time dependence in the solution.

  10. Lol...it might have been fun if you didn't say what the numbers were and left it as a puzzle to the reader. ;P

     

    Oh, and I forgot to edit a change I made into the OP for Amazo:  At any time, but only for one Night/Day cycle in the entire game, Amazo may activate turbo mode, in which he is unkillable, unlynchable, unblockable, unredirectable, and unundoable.

     

     

    Links to JLU1, in case anyone's interested in the story:

     








  11.  

    Is it obvious which of the two neighbors is using the plumbing, or are they indistinguishable?

    Edit:

    And can you tell if a neighbor is both flushing and running a faucet simultaneously?

     
     

    Yes.

     

    Hmm...good question.  Technically from experience, lol, I find the toilet flushing tends to drain out the sound of the faucet, but for the sake of the problem, let's say yes.

     

     

     

    I am sure there is a better way but.

     

    Prisoners A, B, C, D, E (in order of their cell) their given numbers a, b, c, d, e.  Faucet=f Toilet=t.

    1=1f

    2=2t

    3=2f

    4=2t

    5=3f

     

    first.

     

    b: B->C->D

    c: C->B->D

    d: D->C->B

    a: A->B->C

     

    it interprets to 

    A: 1) he hears b from B.

        2) hears c from B.

        3) hears d from B.

        4) makes a.

    B: 1) makes b.

        2) hears b from C.

        3) hears c from C

        4) makes c.

        5) hears d from C

        6) makes d.

        7) hears a from A

        8) makes a.

    C: 1) hears b from B,

        2) makes b,

        3) hears b from D.

        4) makes c,

        5) hears c from B

        6) hears c from D

        7) hears d from D,

        8) makes d,

        9) hears d from B

       10) hears a from B

       11) makes a

    D: 1) hears b from C,

         2) make b.

         3) hears c from C

         4) makes c.

         5) makes d.

         6) hears d from C.

         7) hears a from C

    E:  1) hears b from D,

         2) hears c from D,

         3) hears d from D.

     

    Worst case scenario 24 actions (total f and t), best case 18.

     

    Don't sell yourself short out of fear. ;P

     

    That's a good solution, but you run into a problem of...

     

    Conspicuousness vs. distinguishability.  

     

    I.e. if the guard hears *flush**flush**flush*...*flush**flush**flush*...*flush**flush**flush*  it will probably draw his attention.  The idea to "spread out" as mentioned in the OP was to make the actions seem more natural, i.e *flush*... (wait a reasonable amount of time) *flush*...etc, but then you run into the problem of being able to distinguish 1f from 2f from 3f.  

     

    Borrowing Barcallica's notation:

    Identify the prisoners by their cells ABCDE

    Assign them execution orders abcde where {a, b, c, d, e} is some permutation of {1, 2, 3, 4, 5.}

     

    Encode

    Let F, T denote Faucet, Toilet, and prefer F to T with the assumption that T makes more noise and takes more time.

    {1, 2, 3, 4, 5} <=> {F, T, FF, TF, FT} so communicating the five numbers requires 5 faucets and 3 toilets.

     

    Communicate

    Assume:

    Prisoners know which cell they occupy

    Prisoners BCD can tell which wall sounds are coming through

    Prisoners signal multiple numbers from {a, b, c, d, e} in alphabetical order and with a slight pause between numbers.

     

    Initially:

    Aa, Bb, Cc, Dd, Ee, which means

    Prisoner A knows the value of a, B knows b, ... E knows e.

     

    Round 1. A sends a; E sends e.

    B and D each hear one send and know it is from their respective outer neighbor.

    Aa, Bab, Cc, Dde, Ee

     

    Round 2. B sends ab; D sends de (ab and de are alphabetical with a slight pause between numbers.)

    C knows the order of numbers in each send, and through which wall each send came.
    Aab Bab Cabcde Dde Ede

     

    Round 3. C sends abcde

    B and D hear 5 sends and append the last three and prepend the first three sends, respectively.
    Aab Babcde Cabcde Dabcde Ede

     

    Round 4. B sends cde; D sends abc

    A and E each hear three sounds and append and prepend them respectively.
    Aabcde Babcde Cabcde Dabcde Eabcde

    Total sends: 17.
    Round 1: ae  (2)
    Round 2: abde  (4)
    Round 3: abcde (5)
    Round 4: abccde (6)

    Best case: a=T and e=F (or v.v.): TTTT  FFFFFF  FTFTFT  TTTTTT  FFFF = 13T and 13F
    Worst case: neither a nor e are T or F: TTTTTTTT  FFF  FFFFFF  TTT  TFTFTFTF = 15T and 13F

     

    Good idea, but same issue here of distinguishability. 

     

    I was having a little too much fun in the OP *whistling*, so let me rephrase the goal: you are trying to minimize the number actions while making sure each string is clearly distinguishable, regardless of time.

     

     

     

    An aside:  You know you want to sign up for Justice League UNLEASHED ;P

  12. Sure, revise away...

     

    Although I have to respectfully disagree ^_^.  I think if you fully embrace the idea of 'wrapping around' no revision is necessary.

     

    I.e. The earth 'wraps around'.  Europe is technically both to the west and the east of Asia.  However, if you ask any Asian, they'll tell you Europe is to the west, which is b/c 1) it's closer on the west and 2) it's connected to the west.  

     

    "Of the pair" is referring to the pair of cards (since you only see two cards when you walk into the room), which also makes more sense in the previous terms since, in my mind at least, it implies the cards are adjacent. I.e. if you see A_Q and you think of it in terms of ...A_QA_QA_QA_QA_QA_QA_QA_Q..., the "pair" is pretty obvious.  *shrugs*

     

    Anyways, what was the original problem?  I feel like based on what you've said, it should have a pirate-game-esque solution, but I'm not seeing it here. I'm very interested in what it might be. ;)

  13. "Gooood morning, inmates of Braingate Denitentiary!  And what a morning it is, my fine felonious fellows, for I have riveting news!  Now, I know you were expecting the warden to give his usual morning announcements, but, well, he's...otherwise occupied...hoohoohoo..."

     

    "Umm...I tink we mighta used too much gas on the warden, I tink he's kinda...dead..."

     

    "Not now Harley!  I'm. Doing. The. Announcements."

     

    "Sow-wy, Mr. J."

     

    "Anyhoo...where was I?  Oh yes.  Riveting news!  I hope you are enjoying your morning walk around the prison yard, it will be your last!  Yes, that's right, no more outrageous orange accouterments, mounds of mystery mush, or hoarding cigarettes for bartering after today!  Isn't that a blast?  Hoohoohoo..."

     

    *Psss...*...*Psss...*...*Psss...*...

     

    "Hello?  Am I back?  What happened?  Oh, nevermind.  As I was saying, in fifteen minutes the prison guards, who I believe you'll find to have developed a much more...cheerful demeanor..."

     

    "Yeah, cuz we dosed 'em with Joker gas!  Keke..."

     

    "Harley!"

     

    "Sow-wy."

     

    "The prison guards will escort you misunderstood miscreants back into your cells, where you'll each to assigned a number representing the order (within your cell block) in which you will be executed at sundown today.  Hoohoohoo...however, to make things fun, if every evildoer in your cell block can tell me the every other evildoers' numbers, I will let you go free, off to terrorize the streets of Gotham to your hoodlum heart's delight.  But don't be thinking of cheating now!  Hoohoo...no talking to each other...that would make it too easy...or doing anything out of the ordinary.  If the gayly grinning guards catch you, you'll all be executed on the spot!  Hoohoohoooo...that will be all!" 

     

    *Psss...*...*Psss...*...*Psssssssssssss...*...

     

    "Well...that's a development.  There are five of us in the cell block, and our cells are all in a row, so there goes any chance of seeing each other.  And if we try some knocking scheme, we'll probably get caught, seeing as how the walls are pretty thick and we'd have to be knocking pretty loud to hear each other, which would probably alert the guards.  What do you think, Bainanova?"

     

    "Hmmm...well, Sbarcrow, I believe you are correct about the knocking or noise-making scheme, but perhaps there are some options we have that aren't 'out of the ordinary'?  Any ideas, Plainguin?"

     

    "The way the plumbing is wired, I can hear when my neighbors on either side flush the toilet or turn on the faucet.  Maybe we can use that?"

     

    "But if we start flushing our toilets or turning on the water every few seconds, don't you think they're going to notice something's off?"

     

    "Good point, Plasin Ivy.  But we have until sundown, so maybe if we spread out and minimize the number of actions required, we can get away with it?"

     

    "Sounds like as good a plan as any, TSLFace, now how to go about it..."

     

     

     

     

     

     

     

  14. Lol...please don't describe me or anything I do as "slick" ;).  I'm an engineer, so I tend to be partial towards adjectives that start with 'e', i.e. 'elegant', 'efficient', or 'enigmatic' ;P.

     

    It occurs to me that not everyone might intuitively think of directions in terms of connectivity instead of absolute physical position, so it helps conceptually...

     

    Instead of thinking of the positions as LMR, think of them as

    ...LMRLMRLMRLMRLMRLMRLMRLMRLMRLMRLMRLMR...

     

    So A/K _ Q becomes

    ...A/K _ Q A/K _ Q A/K _ Q A/K _ Q A/K _ Q A/K _ Q A/K _ Q...

     

    It's a lot easier to see that the A/K is the right stack of the pair.

     

    Alternatively, add a rule 0:

    0.  Consider the positions to 'wrap around', i.e. that L is connected on the left to R and on the right to M, M is connected on the left to L and on the right to R, and R is connected on the left to M and on the right to L.  Mentally re-map the configuration of stacks so that the empty space(s) are on the left without changing the connectivity.  

     

    (I think there's a technical term for it...'homeomorphic transformation', maybe?)

  15. In the middle layers of earth’s atmosphere hovered the substantial ship, originally constructed from the technology of Krypton, but modified throughout the years by alien technologies from numerous worlds which had, as a consequence, shared the same fate.  Its advanced cloaking technology had caused more a few avian fatalities, but that was of no matter to what was inside.

     

    The surprisingly low humming of machinery, flashes of light, and sparks of electricity filled a chamber near the aft, where a sundry of mechanical arms operated on an object prostrate on a seamless table.

     

    One arm, a three ‘fingered’ mechanical claw, held a gold oval with face-like features, the final piece, which it attached into place.  Another arm with a heat ray of some sort worked around, melting the edges of anomalous alloy and sealing the piece onto the object.  After it finished, the entire assembly came to a stop and the humming ceased.  A moment later, the entity on the table arose.

     

    “You have been repaired based on the data uploaded from the late Dr. Ivo’s hard drives,” a robotic voice resounded through the metal alcove.  “A few upgrades have been included.”

     

    The ‘expression’ on the gold entity’s ‘face’, if they could be called those things, shifted.  “Why?” it inquired.

     

    There was a pause, then:  “A wager has been made for the outcome of this planet.  To win, it is computed that the simulation requires your factor.”

     

    Slowly, the gold entity nodded, comprehending.  “Then I shall play my part.

     

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

     

    Inside the tower that was in this realm, but not, the man sat in a carved wooden chair, transposed in the peace and tranquility of the inner garden. The golden helmet that contained that other part of him was perched on a small table besides him, its hollow eyes seeing nothing and everything simultaneously.

     

    Behind him a woman appeared, slipping through a dimensional portal, the only way into or out of the tower.  She was handsome, with dark hair tied back at the nape of her neck, and her voice was halcyon and mellifluous as she spoke.  “It seems the Brain Interactive Construct has begun to move.”

     

    The man sighed, reluctant to leave his serene repose.  Finally, he placed a gloved hand onto the helmet and stood, resigning to fate.  “All right, Inza” he projected, donning the head piece.  “Then we must move as well.”  He turned to the woman, and his eyes, or the helmet’s eyes, or perhaps both, glowed.  

     
     

    DrFate-FINAL.jpg

     

     

     

     

     

    Justice League UNLEASHED

    Second Arc: Of Magic and Men

     

     

     

     

    The 2nd Assemblage of Supervillains:
    (Have BTSC, choose one player each Night to carry out kill, and once in the entire game, may save one player from the lynch)


    Lex Luthor: (Man) A mere man, yet he earns the title of Superman’s greatest adversary for his intellect, ambition, and powers of manipulation. Each Night, he may control the actions of one player if he is able to correctly identify their role. Subject to all role restrictions (if he unknowingly breaks one of them or the player unknowingly breaks one of them due to having been manipulated, the player’s action will fail and he or they will be informed it failed). The player he is manipulating is subject to block/redirection. If he manipulates a role that receives information, he receives the information as well. The player he is manipulating is not informed they were manipulated. Cannot manipulate Amazo. If he manipulates the Flash or any Day action, must specify during the nth Night that he will use the action on the nth Day (and hence no other). He may choose the message targets during the Day.

    Ares: (Magic) The God of War, not at all bitter about the lack of worship to him in the present era *whistling*. Uses his powers to rile up his opponents against each other. Any Day, may select a player to change the vote of. As it is a Day action, it cannot be blocked or redirected, but can be manipulated.

    Solomon Grundy: (Magic) Undead zombie corpse of a mob boss, is short on wit but definitely not short on strength. Being undead, can only be killed at Night by the magic of Hawkgirl’s Nth metal mace and requires a majority of votes to lynch. Any Night, may use brute force to prevent a player from acting.

    Felix Faust: (Magic) An ancient sorcerer (yeah, we mean ancient) on a never-ending quest for mystical power. He may channel the spirits of the dead. Any Night, he may use the abilities of a dead player if he can correctly identify their role or choose a player and determine if they are magic or man. Cannot channel Amazo (being an android who doesn’t have a spirit to channel), or Hawkgirl (being from a different world whence her spirit will return to upon death). Subject to all role restrictions, which are reset upon the player’s death.


    The Independent:

    Amazo/Professor Ivo’s Android: (Man...kinda) An innovation creation by the late Professor that can replicate the abilities of the beings it comes in contact with. Each Night, it may choose one player to learn their role and abilities (this action cannot be blocked, redirected, or undone). On the nth Night, it may also use n/2 (rounded down) of the abilities it has learned. Not subject to any role restrictions, except Lex’s RID manipulate. If he replicates Superman, he gains his invulnerability and susceptibility to krytonite. Invincible for first two Nights and Days. If blocked or redirected, each block or redirect will only affect one of his abilities.



    The Justice League:

    Superman/Clark Kent(Man) Somebody save me...well, that’s what he’s here for. Each Night, may choose one player to save. Cannot save himself and cannot be saved. Due to his Kryptonian physiology, he cannot be killed at Night without the aid of kryptonite. However, since studies have linked prolonged exposure to kryptonite to cancer, no one carries it around with them, hence an attacker must return to their secret HQ to retrieve it, and cannot perform any other Night action in addition to the kill. Use of kryptonite must be specified with the kill, and cannot be used two Nights in a row.

    Batman/Bruce Wayne(Man) The only founding JL member without superpowers, he is arguably the strongest due to his intelligence, discipline, and inner strength. Now comes equipped with his own trademarked utility belt! Any Night, may use an item on his belt, however, once the item is used, it will be gone and no longer available. If blocked, item is not used. Items on the belt (and their quantity):

    Batarangs (2): May use to injure a player and prevent them from acting.

    Grapple gun (1): May use to spirit himself and another player of his choosing out of danger (save).

    Line Launcher (1): May use to zip line a player away, saving them from the lynch.

    Cryptographic sequencer (1): May use to hack into a player’s computer and receive the same information they receive that Night.

    Smoke pellets (3): May use to disguise himself so that he may watch and find out the players who acted on his target.

    Tracers (3): May place on his target and find out who they acted on.

    Kryptonite (1): (In lead casing) His backup plan, just in case...

    Wonder Woman/Diana: (Magic) Themysciran Princess with power second to no man. Each Night, may use her lasso of truth to find the answer to one TRUE/FALSE question (PM’s question to host and host will answer TRUE/FALSE). Cannot be redirected. May not ask about pending actions.

    Flash/Wally West: (Man) Fastest man on earth...and, as Hawkgirl likes to point out...single. Uses his super-speed to ferry messages b/w roles. Each Day he may choose two roles, one to send, one to receive and the next Night the sender will be informed they may send a message and to which role. The receiver will not be informed of the sender’s role. As it is a Day action, it cannot be blocked or redirected, but can be manipulated.

    Green Lantern/John Stewart: (Man) Using his power ring as an extension of his will, he may choose to do one of the following actions each Night, not the same two Nights in a row: save, block, redirect. Cannot redirect a player to themselves. Cannot die as long as Hawkgirl is alive. If Hawkgirl dies, also gains the option to kill.

    Hawkgirl/Shayera Hol: (Magic) Her tongue being the only thing sharper than the spikes on her Nth metal mace, this Thanagarian dynamo may target one player any Night to kill with her weapon or she may choose a player to find out if they are magic or man using the magical properties of her weapon. May not choose the kill action two Nights in a row and may not target the same player two Nights in a row. Knows the identity of Green Lantern. Is revealed when she dies.

    Martian Manhunter/Jon Jones: (Man) Sole survivor of his species, each Night may use his telepathic abilities to delve into one player’s mind and redirect their action, or use his ability of invisibility to watch and learn which players acted on his target. Cannot redirect players to themselves. May not target the same player two Nights in a row.

    Zatanna Zatara/Herself: (Magic) uoy no lleps a tsac lliw ytuaeb reH. Each Night, my use her backwards magic to undo an action if she can predict it. Predictions must be in the form “[role A] [performs X action] on [player B]”. Applies to the action itself, not what the player intended, so includes actions that are being manipulated and/or redirected and is assessed after manipulation/redirection. Zatanna’s action itself cannot be redirected, and trumps all other actions in case of loops or conflicts.

    Green Arrow/Oliver Queen: (Man) The world’s greatest archer...or so he likes to think. Always hits his target with deadly accuracy. Each Night, may choose a target and make their action unblockable and unredirectable, or choose a player to determine if they are Black Canary. If he finds Black Canary, gains BTSC with her. May not target the same player two Nights in a row.

    Black Canary/Dinah Lance: (Man...well, not really but you know…) Strong willed and skilled at judo, each Night, may use her canary cry to either incapacitate a player, preventing them from acting, or to echo-locate them and find out their target. May not target the same player two Nights in a row.



    Miscellaneous rules:

    Things that will appear in Night Post: Kills, successful saves (including undo’s), blocks. Kryptonite use will not be shown. Block on block will result in a canceling out of actions and will not be shown (observing roles will also not see anything happening). Everything else in the Night/Day Post is subject to creative license ;P.

    In the event of a tie: if the tie is due to use of Ares’s ability, no one dies. Otherwise, all tied players die and the last player(s) to add/remove/change their vote(s) to create the tie(s) dies.

    All “cannot be killed at Night”’s will appear as saves, from a saving role that is not shown as acting otherwise in the Night Post if possible, otherwise random, and all “cannot be lynched/saved from lynch/no one dies” will be indistinguishable.

    In case of loops: Manipulate>Redirect>Block 

    In case of roles acting on the same player: Lex’s manipulate>Amazo using Lex’s manipulate, Amazo using any redirect>Martian Manhunter’s redirect>Green Lantern’s redirect, and of course, any block will prevent the player from acting.  

    Redirect loops will be terminated on the first return, i.e. if A redirects a block to A, will show in the Night Post as A being blocked; if A redirects B’s redirect to A it will effectively block B’s redirect and nothing else will happen. Only the initial redirect target and action will be seen by observing roles, i.e. they will see A acted on B, but not B acted on A.

    Unless otherwise specified, role abilities (things that a role must actively choose to do, i.e. actions) can be blocked/redirected/manipulated/copied, but role attributes (i.e. passives) cannot.

    All actions are considered to be initiated at Night and ‘go through’ during the transition b/w Night and Day, so a player’s action will occur unless blocked or manipulated.

    Players will not be informed of the success/failure of their actions unless otherwise stated.

    Players are free to say whatever they wish in the thread as long as they do not make a false claim about the host or the rules. The host reserves the right to clarify any seeming misunderstanding about the rules.

    No reproduction of game related material from outside the game thread in the game thread.

    Please address your questions to the host in purple. Thanks!

     

     

     

    Dr. Fate:  Y-san

    Roster:

    1)
    2)
    3)
    4)
    5)
    6)
    7)
    8)
    9)
    10)
    11)
    12)
    13)
    14)
    15)

    Back-ups:
    1)
    2) 

     

     

    Note:  Game will not begin until the first week of September.

     

    Most of the roles have some sort of choice of action so there are a lot of possible interactions, which probably haven't all been taken into consideration, so there may will probably be adjustments before the game begins.  Questions/comments welcome! ^_^

     

  16. Y-San, do your steps have a cycle?

     

    If left stack is A and K in some order, then doesn't your step 4 just shuttle the Q between center and right?

    Or am I misunderstanding Step 4?

     

    What would be your moves, starting from say K  A/Q  __ ?

    The idea is to 'splay' the cards into three steps moving from right to left.  With the concept of the positions wrapping around, it simplifies the possible positions greatly.  In those terms, three formations would be equivalent, i.e.  K A/Q _ = _ K A/Q = A/Q _ K with the K considered to be to the left of the A/Q.

     

    Hence _ K A/Q -> _ A/K Q -> Q A/K _ -> Q K A -> K/Q _ A -> A/K/Q 

    Or equivalently  K A/Q _ -> A/K Q _ -> A/K _ Q*** -> K A Q -> _ A K/Q -> A/K/Q

     

    (***note that here the A/K is actually considered to be on the right in terms of the wrapping around)      

  17.  

    I had done the same analysis as Barc and concluded that it's probably the correct answer because

    Even if the warden were to give them the worst-case scenario of starting off with one pile of three cards, the first prisoner would move one card off the pile, and the following 7 prisoners would each get a 50/50 chance of making three separate stacks of cards by randomly choosing one of the two visible cards to move to the empty bin. The odds that those seven would all fail to separate the cards into three stacks would be 0.5

    7, meaning that the prisoners have a >99% chance of being released even in that worst case scenario.

    As for coming up with a different strategy

    I don't think it's possible with the points given in the previous post. My reasoning hinges on points 4 and 6, that there is some "correct" move for any arrangement of cards that is independent of the time of day, plus my own assertion that the amount of information that each prisoner sees when he enters the room can be expressed as an unordered set of which cards are visible. I think it's valid to throw out the positional information of which bin (left / middle / right) is holding each card because, for any solution that the prisoners can arrive at without discussion before starting that uses that information (for example, saying "if there's an empty bin then move the card to the left of the empty bin into that empty bin"), there is an equally valid solution that a prisoner could arrive at that uses the opposite directionality (moving the card to the right of the empty bin instead of the one to the left). If there's no way for the prisoners to agree on that arbitrary choice of directionality by discussing a strategy beforehand, then there's no way to be sure they'll all make the same arbitrary choice when determining their own strategy.

    Now suppose you have an optimal strategy where the correct move does not depend on the time of day and is completely deterministic based on which cards are visible. A prisoner walks in and sees King and Queen showing. Whichever of the King or Queen he selects to move, if he moves it to an empty bin, then there's a 1/2 chance he will move the lone card to a different bin and therefore not change the state of the problem. Because moves are deterministic based on the visible state, every other prisoner will make the same move, and they will all die. The optimal solution must involve moving one of those cards to an empty bin -- if the optimal solution involved moving one card onto another, then there's a 50/50 chance that move would create a pile of three cards, and then the only possible subsequent move would be to move the top card back off of the pile to go back to the initial state, and you would enter an endless cycle because the moves are deterministic and independent of time of day.

    That said, I bet bonanova's already thought of that and has a solution that still works with those rules despite my argument that attempts to show it's impossible.

     

    plasmid gives me too much credit, so I'm going to out myself now and state that this is adapted from genius puzzler who will be credited when the solution is found. This is done to keep Google out of the competition, not that anyone would do that. ;)  Further, I worked on this puzzle until I convinced myself that I could not solve it before looking at the solution. So you guys are the heroes here, not me.

     

    Let me add:

    1. plasmid's first paragraph makes me wonder. His mirror point seems valid, and it's possible

      that my adaptation opened a loophole. If so, a slight modification of the OP avoids it:

      The first prisoner solves the puzzle and writes an algorithm on a piece of paper that he leaves in the room.

      In that case, and if there are in fact multiple solutions, then Prisoner 1 selects one that they all will use.

      In that case, any algorithm that gives AKQ will be a correct solution to the puzzle.

      That is, it won't be required that every prisoner would have found the same algorithm (if there are several) and used it.

      Or we could say the prisoners are allowed to discuss a strategy beforehand.

       

    2. I can provide a helpful clue, one that still leaves a very hard problem, if desired.

     

     

    Maybe I'm missing something, but I think this might oversimplify the problem.  If I can select a specific direction, I think I can get to AKQ in 6 moves from any initial formation, regardless of the time.

    1.  If you see only and A and a K, place the A on top of the K.

    2.  If you see all three cards, place the K on top of the Q.

    3.  If you see only a single stack, move the top card to the left of the stack.  (Consider the three positions to 'wrap around')

    4.  If you seen two cards that are not A and K, move the card on the right to the empty space on the left (of the pair, keeping the idea of wrapping around).

     

    With this strategy a starting single stack can be solved in 4 moves, first making a stack of 2 cards on the right and a single card on the left, then making three stacks of single cards.  Most starting double stacks can be solved in 4 moves or less, since even if the original formation had 2 cards stacked on the left instead of the right, moving the rightmost card to the left of the stack would reset the formation to having 2 cards stacked on the right. And of course three stacks is solved in 2.  The formation that would take 6 moves is _ K A/Q -> _ A/K Q -> Q A/K _ -> Q K A -> K/Q _ A -> A/K/Q 

     

    Which makes me think there is probably a directionally independent solution of some form of the problem, but when I try the original problem without directions, I run into plasmid's issue.

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