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Let's assume we fast forward to the ending.
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And now I have these 13 piles from Ace all the way up to King.
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What do I then do?
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What's step 2?
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AUDIENCE: Stack them.
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SPEAKER 1: So I want to stack them.
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So I can take all the 2's, all the 3's, all the 4's.
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And I didn't specify earlier, one of the things
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that complicates this problem with cards is that you have different suits.
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And so if you really want to be nit-picky,
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maybe you want to keep all the suits the same,
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which is like a nested sorting problem of some sort.
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But this general idea of bucketizing in this way is good intuition,
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but it clearly takes some time.
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I mean, enough time that I'm not going to sort of drag this out
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by sorting all of those cards myself.
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And therein lies the point, though.
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Even though in week 0 with Mike Smith, we had that sorted phone book.
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And even though a moment ago, Derek, albeit with a few numbers,
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had them already presorted, sorting takes time.
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And even when we were just sorting the blue books alphabetically,
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even though it felt pretty fast, pretty obvious, it starts to drag eventually.
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And god forbid there were more than 26 books.
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Maybe there were 260 books, or 2,600 books, or 2 million books.
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Or web pages.
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Or database records.
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Any number of problems in this world now require sorting sometimes.
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Whether it's on Google, or Facebook, or your own computer.
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It feels like we need a good algorithm for actually doing that sorting.
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So how can we go about doing that, not just with blue books, not
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just with cards, but more generally?
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Well, let's try to frame the problem first with a simpler world.
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In fact, we can generalize blue books and playing cards
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as really just numbers.
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Or some piece of data that there is a defined order or sequence to them.
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And suppose I have these numbers here.
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How do I actually go about sorting this many numbers?
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Well, for this-- and this will be our last chance
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for audience participation here.
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I need eight brave volunteers to actually come on up.
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All right, so 1, 2.
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This is what everyone's been waiting for.
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1, 2, 3, 4, 5, 6, 7, and 8.
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Thank you.
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Come on up.
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And I will meet you over here.
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All right.
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Come on over here.
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If you want to grab two music stands.
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OK.
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So let's go ahead and turn these around like this if you could,
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as though the music's going to face the audience.
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OK.
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All right.
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And let me go ahead and give you sheets of paper, and then we'll resume here.
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All right.
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So here is our eighth music stand.
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And what we have here is 8 pieces of paper.
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And each of you guys is going to take on the role of a certain number right now.
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So I'm going to go ahead and give each of you a number in sorted order
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initially, but that would be too easy.
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So if you don't mind, let's go ahead and arrange yourselves behind these music
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stands in the same order that you see on the screen.
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So on the left end here near me should be the number 4.
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Then, 2.
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Then, 6.
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Then, 8.
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Good job.
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Then, 1.
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Then, 3.
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Then, 7.
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Then, 5.
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All right.
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And you can put the numbers on the music stand
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there, but just move them with you as you go.
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So now the question is, here is a seemingly random list
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in just some order I came up with somewhat arbitrarily.
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And I want now to sort my list.
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How do I go about doing it?
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What would you propose?
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The goal is to get from 1 to 8.
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What are our possible approaches here?
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Oh, you want-- sure, OK.
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We'll just do it over here.
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AUDIENCE: Take out the smallest number.
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SPEAKER 1: OK.
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AUDIENCE: Take it, shift everyone else down.
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Have the smallest number in the first place.
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SPEAKER 1: OK, good.
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AUDIENCE: [INAUDIBLE].
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SPEAKER 1: So let's go ahead and do that.
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For those tuning in at home, what's your name again?
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AUDIENCE: Allison.
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SPEAKER 1: Allison.
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And?
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AUDIENCE: Alex.
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SPEAKER 1: Alex.
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AUDIENCE: Adam.
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SPEAKER 1: Adam.
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AUDIENCE: Brandon.
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