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AP Computer Science 1.4 Standard Algorithms. How many times will mystery be called for mystery(n) for n > 1?
AP Computer Science 4.2 Standard Algorithms. What kind of algorithm is the following?
APCS: Standard Algorithms Drill 2, Problem 1. How much slower is InefficientSum than EfficientSum in the best case for an array of n elements?
AP Computer Science 1.4 Standard Algorithms 200 Views
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AP Computer Science 1.4 Standard Algorithms. How many times will mystery be called for mystery(n) for n > 1?
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
Full Transcript
- 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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