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APCS: Standard Algorithms Drill 2, Problem 1. How much slower is InefficientSum than EfficientSum in the best case for an array of n elements?

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AP Computer Science 2.1 Standard Algorithms 432 Views


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APCS: Standard Algorithms Drill 2, Problem 1. How much slower is InefficientSum than EfficientSum in the best case for an array of n elements?

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Transcript

00:00

Thank you We sneak Here's your shmoop news your it's

00:06

a maze ing and not at all corny Alright sorry

00:10

Sometimes we just do that Alright Moving on you know

00:13

art ignore it Don't throw up art How much slower

00:15

is inefficient Some than efficient Some in the best minimum

00:20

case for an array of n elements right here in

00:24

the rays list go all right here your potential answers

00:29

How many times slower like a rap song All right

00:35

well to answer this one we'll have to figure out

00:37

how both methods work to see exactly what would make

00:40

one of them less efficient than the other so for

00:43

efficient Some were creating a loop that begins with its

00:46

iterated at one and adds the contents of each following

00:49

array element to array in deck zero until we reach

00:51

the end In effect index zero becomes the running total

00:56

As we travel through the array makes sense and it's

00:59

pretty efficient just like the name says inefficient Some creates

01:03

a separate variable toe hold are running total then visits

01:06

each element of the array as we had done before

01:09

but here's the univision part while the value of the

01:12

current array element is greater than zero It subtract one

01:16

from it and adds one to the some variable Then

01:19

it checks it again and again and again And i

01:20

will keep doing this until the array element here is

01:23

zero So often injure in the array Had a value

01:27

of say fifty We'd have to complete this process fifty

01:29

times If an imager were a million six hundred four

01:32

thousand two hundred ninety three Well yeah inefficient is the

01:35

right word for it The difference is a bit like

01:37

someone opening a can of corn and eating each nibble

01:40

it one by one versus more standard practise of opening

01:42

the can and chugging the entire thing right there in

01:45

a sec It's the new mcdonald's product It's really cool

01:48

and fried Okay from this we can tell that the

01:51

larger the values aaron the array the larger the kansas

01:54

corn would be and the longer inefficient some would take

01:57

But this question is asking for the best case scenario

02:00

And by far the best cases faras inefficient Some is

02:02

concerned would be in a ray full of zeros It

02:04

could be enormous Hundreds of thousands of zeros and we'd

02:08

zip right through it Practically the same speed as efficient

02:10

son because we'd be avoiding that tedious wild loop entirely

02:14

The result in that best all zero case is that

02:17

bullet methods would run at the same speed or at

02:20

least at such close speeds that it would be difficult 00:02:22.83 --> [endTime] to accurately measure the difference That'll make our answer

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