The slowest growing function efficiency class isQuestion 7Answera.lognb.nc.n!d.2^n
Question
The slowest growing function efficiency class is
Question 7
Answer
a. log n
b. n^c
c. n!
d. 2^n
Solution
The slowest growing function efficiency class among the options provided is a. logn.
Here's why:
-
logn: This is a logarithmic function. It grows very slowly. For example, log2(1024) = 10, which means you only need 10 operations to handle 1024 elements.
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n: This is a linear function. It grows directly proportional to the size of the input. For example, if you have 1024 elements, you need 1024 operations.
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n!: This is a factorial function. It grows faster than both linear and logarithmic functions. For example, 5! = 54321 = 120, which means you need 120 operations to handle just 5 elements.
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