The World Machine | Think Like A Coder, Ep 10

360,660 views ・ 2020-09-24

TED-Ed


Please double-click on the English subtitles below to play the video.

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As Ethic falls, she remembers.
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She remembers the world before they unearthed the crystal.
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She remembers the glee she felt when she built her first robot.
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But mostly she remembers the friends she’s made
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these last few days:
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courageous Adila and her resistance movement.
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Octavia’s sacrifice to keep the guards distracted.
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Lemma and her idealistic drive to cure everyone.
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And Hedge.
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Her creation, her responsibility, her failure… her betrayer.
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Hedge, who convinced her to collect the three nodes
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that she never actually needed.
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For Ethic remembers how to operate the World Machine.
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If only she could get a second chance at it.
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Adila has been in radio contact with Octavia,
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whom the robots captured and imprisoned in the same jail that held Ethic.
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Ethic explains that Hedge has manipulated them all,
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and will now try to break down the Bradbarrier
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and cover the entire world in a giant maze,
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unless they can stop him.
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But she has a plan:
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Ethic herself will go to the crystal at the center of the maze
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and use its powers to stop Hedge.
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Meanwhile, Adila and Lemma will do whatever they can to slow Hedge down.
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As Ethic weaves her way towards the innermost maze,
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her radio picks up a transmission.
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Octavia has freed hundreds of members of the resistance from stasis.
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Together, they’ve staged a jailbreak and overwhelmed the guards.
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The resistance has access to the World Machine,
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but they don’t know how to use it; they’ll need Ethic for that.
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All they have at their disposal are nearly limitless spools of wire.
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The strands are durable, but prisoners can break them deliberately
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if they need to.
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Ethic reaches the entrance to the inner most maze… and it’s sealed from within.
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She remembers a few things from when she flew over the maze days earlier.
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It centers on the crystal.
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There are many dead ends, but no paths that loop back on themselves.
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Ethic has one opportunity to radio the members of the resistance
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a simple set of instructions
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before they plunge into the labyrinth in search of the exit.
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What directions can she give them so they can quickly navigate the maze,
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open the door, and guide Ethic straight back to the crystal?
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Pause now to figure it out for yourself.
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Hint in 3
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Hint in 2
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Hint in 1
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Here’s a hint:
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One of the challenges here is to find a way to indicate where dead ends are,
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so that the resistance members don’t keep going down them.
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Try simplifying the maze to something like this.
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Let’s say you’ve just hit this dead end, then came back to this intersection.
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What could you do to show the next person who gets here
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that they don’t need to explore that path?
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Pause now to figure it out yourself.
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Solution in 3
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Solution in 2
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Solution in 1
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Most programming puzzles involve giving instructions to a single actor
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so that they can accomplish a goal.
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Instead, here we have a swarm of individuals,
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each of whom can follow basic instructions.
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That’s unusual in programming, but not unheard of;
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researchers are currently experimenting with swarms of small robots
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to do things like conduct search and rescue missions.
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The prisoners aren’t robots, but for Ethic’s purposes they’ll act like them.
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And by working together they can achieve their goal much more efficiently.
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Because you have a lot of prisoners, you’ll want them to cover a lot of ground.
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This matches up well to a maze-mapping technique called a depth-first search.
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It’s called that because it involves going as deeply down a path as possible
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before going back.
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In other words, if you had a maze like this,
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you’d want to explore all the way down one of these branches
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before returning to this intersection and trying another.
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Everyone needs a clear set of instructions for what they should do.
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Like — first, tie down the loose end of your wire by the crystal,
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so it leads back there.
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If you find the door, open it and hand your spool to Ethic.
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If you’re in a passageway, keep going until you hit a dead end
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or an intersection.
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But what happens at either of those places?
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If someone encounters a dead end,
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they should backtrack to the last intersection.
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But they also need to mark it, so no one wastes time and goes back there.
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The best tool for that is the wire—
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one option is to break both sections that lead down the dead end path,
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and tie the spool to the wire that leads back to the crystal.
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The broken wires tell everyone else who gets to this intersection
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“Don’t go this way.”
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They’ll also guarantee the final path will lead straight to the crystal,
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rather than visiting dead ends.
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Ok, so let’s say someone’s at an intersection.
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Now which way should they go?
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The first priority is to have everyone cover fresh ground
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to minimize doubling up.
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So if there’s no wire down a direction, go that way.
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If there are multiple choices, choose one at random.
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What if they’re in a sub-section like this, with 3 marked dead ends?
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The only thing to do is to go back where they came from.
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We now know that this whole section is one big dead end,
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so they should break and retie the wire when they get to the next intersection.
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But let’s say they get there, and find two options where someone’s exploring,
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but no one’s hit a dead end yet.
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They may as well choose at random and go help explore that path further,
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in case it’s the right direction for the exit.
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This isn’t the only way to solve this challenge, but in any correct method,
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someone will eventually find the way out.
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The moment of truth will be when Ethic takes their wire and follows it back,
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inward towards her goal.
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The great thing about this method is that Ethic’s path is straight and true.
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The maze doesn’t have loops, so there's only one path from door to crystal.
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And because everyone has been breaking and retying their wires,
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Ethic won’t go down any dead-end paths.
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Face to face with her creation, Ethic has a choice:
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she can destroy Hedge, or set things right.
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All of this destruction was her fault, not Hedge’s;
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it was her oversight that instructed him to build an infinitely large maze.
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His decisions were misguided, but everything he did,
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he did to follow his programming.
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Ethic accesses his core and fixes her error with a single number:
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the size the maze was supposed to reach.
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Ethic has prevented catastrophe
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and regained possession of the World Machine.
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Her work with Adila, Octavia, and Lemma has already started to help people
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and heal the world’s turmoil, but there’s much work to be done.
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With the forgetting food out of their systems,
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the people will become themselves again.
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They’ll regain their will to create and progress.
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They’ll be free to break down the walls they’ve built between each other.
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And they may come to approach their future with a little less greed
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and a little more... Ethic
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