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AP Computer Science Videos 112 videos

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Transcript

00:05

And here's your shmoop du jour brought to you by multi-dimensional [Spacecraft opens up in space and cube character appears]

00:08

arrays they're not just a sci-fi alien weapon people...What is the value of Q

00:13

and here are your potential answers..... well quick visualize an array

00:21

of eight elements do it got it? yeah pretty simple it's a little like a [Man thinking of 8 elements]

00:25

number line but with data sitting on it that and to refer to any element you can

00:30

call it by its index what if you want another row of data well sure you could

00:34

make a whole new separate array but that's little clunky this is more of a

00:38

job for a two-dimensional array add an extra set of brackets and well off we go [array with added set of brackets]

00:42

we can reference anything in this array by using two indices horizontal and

00:47

vertical or clever names x and y want to get wild I'll we can keep going on to [Men in a boxing ring ready to fight]

00:52

three dimensional arrays are totally doable and turn our square into a

00:56

cube and again we'd be using the arrays three indices so we can reference [Cube with an array]

01:00

elements anywhere along its three axes so now we have a three dimensional array

01:05

full of data sounds very futuristic already but we can go further than that [Man hurdling over arrays]

01:08

what would a fourth dimension be like where would you put it? easy! well right

01:13

next to it just like a complaint from your physicist friend all right if a

01:17

one-dimensional array gave us a number line 2D gave us a square and 3D

01:22

gives us a cube then 4D is a number line made of cubes did we just blow your [Explosion occurs]

01:28

mind all right and a 5d array well you guessed it a grid made of cubes.. 6D? a

01:34

cube made of cubes.. 7D a number line made of a cube made of cubes you can see

01:40

where this is headed into infinity well the Java language specification states [Buzz flys away and java specification book appears]

01:44

that you could theoretically have infinite dimensions but the Java Virtual

01:47

Machine the thing that actually excutes the code sets a limit of 250 five [Laptop with 255 dimensions on the screen]

01:53

dimensions thankfully for our brains the need for that many dimensions doesn't

01:57

come up all that often in fact an array of more than three dimensions is [Mans head opens and arrays enter inside]

02:00

downright rare and this question is asking us what the length of a certain

02:04

two-dimensional array would be logically speaking

02:07

since we're dealing with a 2d array it'd makes sense to multiply width x height

02:11

like measuring a rectangle like 12 times 10 but that's not how the length function

02:16

works in Java it returns a simple integer based on the length of a single

02:20

dimension in this case the first dimension because we didn't specify a [Java code line circled]

02:23

deeper one that said the answer was right in front of our faces the entire

02:27

time it's just as well.

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