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Fox-Chicken-Grain Puzzle

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A Stock Puzzle, subset of the Inventory Management Puzzle. You are a farmer taking a fox (or a wolf), a chicken (or a goose), and a sack of grain to market (don't ask why you're taking a fox and/or wolf to market) and you come across a river. The only way across the river is by a small boat, which can only hold at most you and one of the three items. Left unsupervised, the chicken will eat the grain or the fox will eat the chicken (however, the fox won't try to eat the grain, nor will the fox or the chicken wander off). What's the quickest way to get everything across the river?
The standard answer is:
Take the chicken across
Come back with the boat empty besides yourself
Take the grain (or the fox) across
Take the chicken back
Take the fox (or the grain) across
Come back with the boat empty besides yourself
Take the chicken across
This puzzle's primary difficulty to those new to the puzzle is in realizing that one must consider the possibility of taking an action that seems detrimental or a step back from their original goal in order to ultimately complete it.
May also appear with different animals and vegetables, such as wolves, sheep, and cabbages. (The version best known in the former Soviet Union, for example, has a wolf, a goat, and cabbage.) A "jealous husbands" (also known as cannibals and missionaries, or knights and squires) variant has three couples trying to cross a river with a two-person rowboat, but none of the men will allow his wife to be alone with either of the other men on either side of the river (or, cannibals cannot outnumber missionaries, lest the latter attacked and eaten; or each knight's squire is too afraid to stay with the other knights). This one can be solved in eleven steps.
This is an ancient puzzle. The oldest known example was found in Propositiones ad Acuendos Juvenes, which dates to the late ninth century.
A more complicated version, but which operates on much the same principle, involves a barrier (usually a bridge), four people who all move at different rates, and some item that is required in order to cross the barrier (most often a flashlight). The puzzle is to get all the people across within a specified amount of time, which seems to be too short. Probably the most well-known version of this is:
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The knights and squires version turns up in the The Crystal Maze gamebook.
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Appears as a series of wood-inlay pictures on a puzzle box in Nancy Drew: The Last Train to Blue Moon Canyon. It uses a dog, a cat and a bird, presumably because a bag of grain would be hard to identify in silhouette. Nancy deduces the animals' starting side for you, from no clues whatsoever!
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In Space Ghost Coast to Coast, such a puzzle was used as a means of describing the concept of "branding" (no, NOT like branding with a hot iron). In typical Space Ghost fashion, the puzzle was... less-than-helpful in explaining the concept. Note that no answer was given.
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Fargo
In the "A Fox, a Rabbit, and a Cabbage" episode, Budge asks Pepper this riddle to pass the time while they are assigned to the file room. Pepper gets hung up on the details and eventually provides a unique answer.
In the subsequent "Morton's Fork" episode, Budge asks Lester the riddle while driving him back to his home and he gets the correct answer right away.
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Mongrels references this in the first episode with Nelson the fox, his chicken "girlfriend" and a bag of grain they were eating. They solved it by knocking out the boat's owner and stealing it.
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The cannibals and missionaries version is mentioned in Umineko: When They Cry, with wolves and sheep.
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The Simpsons:
Showed up in the 20th season episode "Gone Maggie Gone". Homer is trying to get across a river with Maggienote chicken, Santa's Little Helpernote fox (who is trying to tear up Maggie's doll), and a jar of candy-coated rat poisonnote grain. Then this trope is subverted when Homer brings Maggie first and she just crawls off, setting off the plot for the rest of the episode. While Homer is getting Maggie across the river, Santa's Little Helper just swims his way until Homer berates him for not paying attention to the puzzle.
In the same episode, Cletus asks Homer for help with getting a fox, duck, and corn across, but then "the puzzle done worked itself out" when both the corn and the duck are eaten.
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A variant appears in a training simulation the spies undergo in the Totally Spies! TV movie.
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A variation of this appears near the end of Broken Sword: The Sleeping Dragon; a murderer, a witness to his crime, and the brother of the murder victim must all cross the river to reach the murder trial. The victim's brother is analogous to the fox, the murderer is analogous to the chicken, and the witness is analogous to the grain.
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Full Frontal Nerdity does it, with the Missionaries and Cannibals variant.
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Parodied in a Dilbert strip featuring the question asked to an immoral job interviewee, whose proposed solution is to take out insurance on the chicken, eat it, then blame the fox.
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Part of the cockatrice sidequest in Final Fantasy XII requires bringing the cockatrice Sassan across a river to meet a friend on the other side. Sassan is afraid of Nathyl (a tame wolf), and there's also a village boy named Arryl. The solution is to bring Nathyl to the other side, then bring Arryl over to play with Nathyl and keep him occupied, and finally bring Sassan over.
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Overly Sarcastic Productions: Red references this puzzle in Journey To the West: Part VII: When Tripitaka and his party need to cross a river and a ferryman offers to take them across but in multiple trips (which turns out to be an attempt to kidnap Tripitaka), Sun Wukong adds, "We also need to bring this chicken, this fox and a bag of assorted grains."
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xkcd:
Referenced in "Designated Drivers."
A later strip proposed an alternative way to solve this puzzle.
"Boat Puzzle" starts with the classic puzzle, but then more people show up with even more ridiculous requests (one person has two wolves and 100 cabbages, another has a goat that eats the wolf, etc.).
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The puzzle is brought up in the The Infinite Monkey Cage episode 'How to Beat the House and Win at Games' (though here the elements become a traveller with a wolf, a goat, and some cabbages). However, the discussion of the puzzle becomes derailed when the panel starts wondering exactly how this situation came to be (mainly, why the traveller is travelling with a wolf, a goat, and some cabbages). And while the solution is eventually explained it is also pointed out (and confirmed by a Google search) that the wolf would eat the cabbages as well since wolves are opportunistic carnivores.
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The obscure dating game Sprung on the Nintendo DS had a variation to this on Brett's story. At one point Brett will be asked to go to Sanctuary with Becky, where he will bring his buds Lucas and Danny while she brings Alex and Erica. The catch, however, is that Becky wants a calmer night, so she doesn't want any funny business (nevermind that Sanctuary is a raving night club where the nameless other people not mentioned in the game are probably doing just that). The puzzle comes where Brett meets everyone but Becky at the front of the club and he has to get all of them inside one by one. However, if Lucas and Alex or Danny and Erica are left alone and Brett comes back to them later, he will catch them making out, leading to Becky to see this, her announcing the night was ruined and you getting slapped with a game over. The puzzle is extended further because it's not only a matter of getting everyone inside, but also a matter of keeping everyone happy which means a lot of shuffling out people whom are already fine inside (such as dragging Danny out because he gets panicked over the sight of too many people, or dragging Lucas out for pep talk). Further rules are also added as time marches on, including how the aforementioned couples can later be left alone without problems after an event happens where Brett talks them down, or how new pairings are made that can't be left alone without you interfering with them (such as how, at one point, Danny and Lucas will fight if left alone).
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In The Powerpuff Girls (2016) episode "Splitsville", Bubbles has to help a farmer get his goose, fox, and bag of seeds across the river. It starts out normal, then gets ridiculously complicated with the addition of nosy tourists, a Robber Baron, the starting lineup of the Townsville girls' basketball team, Sherlock Holmes, and the Raptor King. And to top it off, at the end the farmer realizes that his farm was on the ''other'' side all along.
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A variant of this turned up in Uninvited, where if you didn't choose correctly between a small bird, a housecat, and a snake, then one of the remaining animals would eat the third, and then it would slaughter you (the solution was to take the bird, since the snake is too full to move after it's eaten the cat).
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In the Puzzle Planet from Skrulls vs. Power Pack, the kids find a room with three alien critters with two who only want to eat one of the other critters and a pipe leading to another room that's only big enough to take one of the critters at a time. Katie figures out the back-and-forth method, opening the door to the next room after getting them all through the pipe.
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Zork Zero has you collect a fox, a chicken and an earthworm, all to be taken across a swamp and used in "Borphbelly Stew".
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The puzzle appears in J.H. Brennan's (better known as author of the GrailQuest books) Dracula's Castle, where you have to travel with a cat, a dog, and a mouse in a lift. However, the twist is that the cat can't bear to take the lift more than twice, meaning the puzzle is impossible and the correct "answer" is to get confused and give up.
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In Star Trek: Prodigy, Janeway has the "cadets" do this as a training and team-building exercise... on the holodeck, with simulations of a real fox, chicken, and bag of grain. Zero gets on the right track by realizing that they're not forbidden from returning items across the river, but then someone lets the fox and the chicken stay on the same side and it all goes pear-shaped.
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Ted uses the four people bridge crossing variant for this riddle video, and the "Cannibals and Missionaries" variant for this riddle video.
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Runescape:
The game has one of these, completing a similar task for Temple Knight Sir Sisyphus.
The bridge type showed up in another quest.
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Death in Paradise: DI Goodman likens how the Mystery of the Week of "Death of a Detective" was carried out to this puzzle. Fidel keeps trying to figure out the puzzle for the rest of the episode.
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This forms the basis of the primary plot for the Between the Lions episode "Farmer Ken's Puzzle", where Lionel attempts to solve the puzzle, here depicted as a computer game (though a cat replaces the fox). The pigeons try to give him advice, which causes him to fail the first two times, and after they give up and leave it alone for a while, his little sister, who they've been constantly brushing off as "too young" for the game, solves it.
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Parodied in Mystery Science Theater 3000, in the episode "Killer Fish". During the movie, most of the movie's characters end up on a slowly sinking boat in a piranha-infested river with a crudely built two-person raft to save them. During a subsequent host segment, the crew of the SOL liken their predicament to one, with details like the hero and the villain getting into another fistfight if they're taken over together. Their eventual solution is that the people on the boat should make themselves into a raft, except for campy photographer Ollie, who everyone knows isn't making it out of this situation (and indeed, when they go back into the theatre Ollie dies more or less instantly).
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In Puzzle Clubhouse, a decorative fountain referencing the fox-chicken-grain puzzle won the popular vote, becoming a permanent part of Puzzle Clubhouse's landscaping.
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Happens in Class of 3000.
One episode had Sunny put his class through this task as training for an upcoming concert. Tamika lampshades it:
Eddie and Philly Phil manage to get through it in fewer than seven steps due to Eddie bribing the coyote with a $100 bill to not eat the chicken.
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Crusader of Centy has this puzzle in the witch's house but with a chicken, a caterpillar, and a flower. The caterpillar then decides to join your party to see the world. And it's a talking flower.
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The first Midnight Mysteries uses the "jealous husbands" variant, involving two police officers, two sailors, two young boys, the player character, the boatman needed to transport the entire party across a river, and a boat that can carry a maximum number of three people, including the boatman. Aside from the boatman (not the player character, surprisingly) needing to be on the ferry at all times, the other rules are that the sailors must be under the watch of the officers, and the young boys must be accompanied by an adult (you or one of the policemen) at all times during the river crossing.
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 Fox-Chicken-Grain Puzzle / int_cb1d762a
comment
In Poptropica, you have to solve this puzzle on Nabooti Island. As a reward, you are told about a secret cave behind some grass where you can find a jewel.
 Fox-Chicken-Grain Puzzle / int_cb1d762a
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 Poptropica (Video Game)
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Fox-Chicken-Grain Puzzle / int_cb1d762a
 Fox-Chicken-Grain Puzzle / int_cca73ee1
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_cca73ee1
comment
Advent of Code includes a more complex version of the "jealous husbands" variant as 2016 day 11. There are four floors with various chips (the "wives") and generators (the "husbands") scattered across them. Any chip that ends up together with any generator while not also on the same floor as its matching generator gets destroyed, failing the puzzle. You can take either 1 or 2 items with you (not zero or more than two), and you can only move one floor at a time. You have to move all items up to the top floor. Part 2 adds two extra chip/generator pairs.
 Fox-Chicken-Grain Puzzle / int_cca73ee1
featureApplicability
1.0
 Fox-Chicken-Grain Puzzle / int_cca73ee1
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 Advent of Code (Website)
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Fox-Chicken-Grain Puzzle / int_cca73ee1
 Fox-Chicken-Grain Puzzle / int_cf39ca4f
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_cf39ca4f
comment
Pearls Before Swine also parodies this one, with Rat giving the riddle in standard form to Pig. Pig's answer is "Buy a bigger boat."
 Fox-Chicken-Grain Puzzle / int_cf39ca4f
featureApplicability
1.0
 Fox-Chicken-Grain Puzzle / int_cf39ca4f
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 Pearls Before Swine (Comic Strip)
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Fox-Chicken-Grain Puzzle / int_cf39ca4f
 Fox-Chicken-Grain Puzzle / int_e5d55e32
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_e5d55e32
comment
Tower Core, the fourth in the Core series of Flash games has five things you need to move from one chamber to another, with the field that suppresses them only active in one chamber at a time: The Zog-Beast will eat the Mog-Rat, the Glaw-Than fly will eat the Zog-Beast, the Muk-Tar plant will eat the Glaw-Than fly, and the cannister of radiation will kill the Muk-Tar plant.
 Fox-Chicken-Grain Puzzle / int_e5d55e32
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1.0
 Fox-Chicken-Grain Puzzle / int_e5d55e32
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1.0
 Core (Video Game)
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Fox-Chicken-Grain Puzzle / int_e5d55e32
 Fox-Chicken-Grain Puzzle / int_e7029101
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_e7029101
comment
Subverted in Beauty and the Geek. The puzzle included a rowboat, a sack of grain and a toy chicken and fox. The solution was to take them all at once since toy animals don't eat each other.
 Fox-Chicken-Grain Puzzle / int_e7029101
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 Fox-Chicken-Grain Puzzle / int_e7029101
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 Beauty and the Geek
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Fox-Chicken-Grain Puzzle / int_e7029101
 Fox-Chicken-Grain Puzzle / int_ee66462b
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_ee66462b
comment
Dr. STONE references this puzzle (with corn in place of the grain) when the protagonists find themselves in a similar situation of having to move everyone in their group across a rope line with a strict weight limit, while not allowing the villain they're holding prisoner to be alone with anyone he could escape from or talk into betraying the team.
 Fox-Chicken-Grain Puzzle / int_ee66462b
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1.0
 Fox-Chicken-Grain Puzzle / int_ee66462b
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Fox-Chicken-Grain Puzzle / int_ee66462b
 Fox-Chicken-Grain Puzzle / int_f34e88f
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_f34e88f
comment
Breaking Cat News has a strip where the four cats are trying to sleep together on the Man, but Lupin and Goldie can't be next to each other, Elvis can't be next to Lupin, and Puck would prefer not to be next to Elvis. Puck brings up the puzzle, and Goldie and him question why the farmer had a fox after their own situation is sorted.
 Fox-Chicken-Grain Puzzle / int_f34e88f
featureApplicability
1.0
 Fox-Chicken-Grain Puzzle / int_f34e88f
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Fox-Chicken-Grain Puzzle / int_f34e88f
 Fox-Chicken-Grain Puzzle / int_f6bb880b
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_f6bb880b
comment
Naturally, various versions of this puzzle pop up in the Professor Layton series.
 Fox-Chicken-Grain Puzzle / int_f6bb880b
featureApplicability
1.0
 Fox-Chicken-Grain Puzzle / int_f6bb880b
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Fox-Chicken-Grain Puzzle / int_f6bb880b
 Fox-Chicken-Grain Puzzle / int_f70241e2
type
Fox-Chicken-Grain Puzzle
 Fox-Chicken-Grain Puzzle / int_f70241e2
comment
The Arithmancer: Like in canon, the door-knocker on the entrance to the Ravenclaw common room gives puzzles in lieu of a password, of which this is one in the fic. Ginny suggests Cutting the Knot by casting Freezing Charms on the animals and conjuring a bigger boat, which the door deems an "acceptable alternative".
 Fox-Chicken-Grain Puzzle / int_f70241e2
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1.0
 Fox-Chicken-Grain Puzzle / int_f70241e2
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 The Arithmancer / Fan Fic
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Fox-Chicken-Grain Puzzle / int_f70241e2

The following is a list of statements referring to the current page from other pages.

 Fox-Chicken-Grain Puzzle
processingCategory2
Older Than Print
 Fox-Chicken-Grain Puzzle
processingCategory2
Stock Puzzle
 Incarnations of Immortality / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 The Black Stranger / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Dr. STONE (Manga) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Class Trials Season 1 (Roleplay) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Between the Lions / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Death in Paradise / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Fargo: Season One / int_11af4e0e
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Fox-Chicken-Grain Puzzle
 Mongrels / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 The Office (UK) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Wizbit / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Would I Lie to You? / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Perplex City (Tabletop Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Adventure Escape (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Core (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Crusader of Centy (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Poptropica (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Professor Layton (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Professor Layton and the Curious Village (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Strike Series (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 TOHU (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Zork (Video Game) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Zork Zero (Video Game) / int_11af4e0e
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Fox-Chicken-Grain Puzzle
 Cartoon Drive Thru (Web Animation) / int_11af4e0e
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Fox-Chicken-Grain Puzzle
 xkcd (Webcomic) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Advent of Code (Website) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Ted (Website) / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 The Intruder II / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Totally Spies! / int_11af4e0e
type
Fox-Chicken-Grain Puzzle
 Phi Brain: Puzzle of God / int_11af4e0e
type
Fox-Chicken-Grain Puzzle