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SPEAKER 1: Brandon.
1,706.32
0.365
AUDIENCE: Joseph.
1,706.685
0.365
SPEAKER 1: Joseph.
1,707.05
0.4
AUDIENCE: Vicky.
1,707.45
0.305
SPEAKER 1: Vicky.
1,707.755
0.765
AUDIENCE: [? Arpin. ?]
1,708.52
0.27
SPEAKER 1: [? Arpin. ?]
1,708.79
0.27
AUDIENCE: Derek.
1,709.06
0.666
SPEAKER 1: Derek.
1,709.726
0.784
OK.
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0.66
So now, because that all just was too much to absorb.
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3.13
Number 1 is now the first smallest element
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4.15
according to the proposed algorithm.
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1.5
So what are we going to do exactly with number 1?
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2.22
AUDIENCE: He's going to [INAUDIBLE].
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1.499
We're [INAUDIBLE].
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1.218
SPEAKER 1: OK, good.
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0.833
So pop back if you would.
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1.39
You guys are going to shift three places this way.
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2.104
And we're going to insert number 1 at the beginning of the list.
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2.666
All right, so what's the next step just to be clear?
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1.5
AUDIENCE: Number 2 is going to pop up.
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2.03
SPEAKER 1: Good.
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0.666
AUDIENCE: I'm going to shift down.
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0.912
Number 1 is going to stay in place.
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0.456
SPEAKER 1: Good.
1,737.444
0.456
So we find the next smallest element, which happens to be 2.
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2.37
We insert him at the beginning of the list here.
1,740.27
2.07
And now, we move on to the number 3 problem Excellent.
1,742.34
2.47
So pop back.
1,744.81
1.56
Shift.
1,746.37
1.39
And insert.
1,747.76
0.55
Good.
1,748.31
0.5
4, we got lucky.
1,748.81
0.809
So we don't have to do any extra work here.
1,749.619
1.791
So that's a freebie.
1,751.41
0.833
Now we look for 5.
1,752.243
0.837
Oh, there's 5 at the end.
1,753.08
3.34
Good.
1,756.42
1.14
And now 6.
1,757.56
0.99
We got lucky.
1,758.55
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7 and 8, we need to fix that.
1,759.32
2.01
OK, good.
1,761.33
0.83
So I like this.
1,762.16
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It felt pretty fast.
1,763.05
1.02
Though, to be fair, the list is pretty short.
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2.1
But we were doing kind of a lot of work.
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2.167
In fact, that was perfect the fact that number 1 was all the way over here
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because we shifted 3 humans.
1,771.42
1.762
And can you guys reset for just a moment?
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1.708
Let me propose an alternative approach.
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1.89
So if number 1 is in the middle here and really belongs all the way there
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on the left, we went to great lengths, it
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seems, to shift all of these volunteers to the left, which is a lot of steps.
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3.292
Because at the end of the day, let's assume for today's purposes,
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that a computer can only do one thing at once.
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So even though all of you humans moved pretty quickly,
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that was really like one of you moved.
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Then, the next of you moved.
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1.2
Then, the next of you moved.
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1.07
Then, the next.
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0.63
So that was like 4 total steps just to put number 1 on the end there.
1,798.82
4.057
Let me propose this.
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1, can you pop out again?
1,803.71
1.65
Now, this list, so far as I'm concerned as the computer,
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is perfectly random from the get-go.
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2.26
So why do I even care that you guys move?
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I haven't even looked at the rest of these elements
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yet or done anything with them.
1,816.349
1.291
Why don't I just evict number 4 where number 1 belongs?
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2.684
If you want to go over here.
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1.166
And if the list is already randomly sorted in the beginning,
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well, then fine.
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4, you're going to go over here.
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1.333
So I've made the problem no worse, but I have made it slightly better
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3.027
by putting 1 on the end.
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1.385
Now I'm going to go ahead and select the next smallest element again.
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2, I got lucky.
1,833.37
1.34
Now, I'm going to look for the next smallest element.
1,834.71
2.58
3 indeed is the smallest.
1,837.29
1.524
So let me do the same thing.
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3, if you could pop back.
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1.3
6, you're out of there.
1,841.28
2.11
And notice that we're doing less work.
1,843.39
1.69
Now, the humans are moving a little farther physically, but that's fine.
1,845.08
3
The computer can just move values around in memory pretty fast.
1,848.08
3.51
But I've moved fewer of you.
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1.63
So this is a slight optimization.
1,853.22
1.55
It turns out this isn't fundamentally better as we'll see.
1,854.77
2.75
But it's this instinct that you should appreciate
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2.16
of trying to do the least amount of work possible.
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2.083
Because otherwise, it's going to add up.
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2.507
Let's try another one.
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2.02
Well, let me clarify one thing then.
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1.66
So what am I doing on each iteration of this algorithm?
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3.1
As you suggested, I'm selecting the smallest element.
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But the only catch is, if I'm now looking for the next smallest
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element, that's going to be 4.
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But I'm only sure that it's 4 once I get to the end
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and realize, yep, that was the smallest element and then I act.
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3