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AP Computer Science 1.4 Standard Algorithms. How many times will mystery be called for mystery(n) for n > 1?

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Transcript

00:00

Hurry And here's your shmoop too sure brought to you

00:05

by fibonacci sequins mathematicians bling dream Consider the following code

00:11

segments public All right how many times will mystery be

00:15

called for a mystery And for n is greater than

00:18

one including the initial call Fibonacci n returns the fibonacci

00:22

number Shmoop Well easiest way to go about this is

00:28

the plug numbers into the method Let's start with one

00:32

We plug one into mystery The method immediately returns giving

00:35

us one call The initial call if we next plug

00:38

in to the method immediately returns totaling one call Plugging

00:43

three gets a little more complicated method then executes mystery

00:47

with a parameter of two And again with a parameter

00:50

of one But this gives us three total calls All

00:54

right So let's test with one more number If we

00:56

plug in for the method makes a call to mystery

00:58

with a parameter of three which gives us three calls

01:00

in total and with parameter to which gives us one

01:03

call in total But adding those up along with the

01:06

initial call we have five calls let's See what our

01:08

sequence looks like so far All right Well this seems

01:11

like a familiar sequence We all know knowing that our

01:14

answer probably involves the fibonacci numbers We can narrow our

01:18

choices down to c and d and now we can

01:20

compare the two Well if choice d was the correct

01:23

answer we have the following sequence that evaluates to three

01:26

three five Seven Well that doesn't look like our sequence

01:29

so we know our answer must be c but let's

01:32

check to be sure Plugging in Numbers 1 through 4

01:34

It gives us the following sequence Yeah and that's equal

01:39

to one one three five and yeah that's the same

01:42

as our original sequence So choice sees our answer You

01:45

know we really wish we could offer you some of 00:01:47.563 --> [endTime] these delicious nachos Once you start you can't stop

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