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Intro to Algorithms help, please!?
My book explains the theory, but doesn't tell you how to apply it to an actual problem. There aren't any steps. I just need a step by step guide on how to solve a problem like this:
Suppose you have algorithms with the six running times listed below. (Assume these are the exact number of operations performed as a function of the input size n.) Suppose you have a computer that can perform 10^10 operations per second, and you need to compute a result in at most an hour of computation. For each of the algorithms, what is the largest input size n for which you would be able to get the result within an hour?
(a) n^2
(b) n^3
(c) 100n^2
(d) n log n
(e) 2^n
(f) 2^2^n
1 Answer
- Anonymous10 years agoFavorite Answer
a-f are the relative number of operations per second need for the operation.
in one hour your computer can do 1 hour * 10^10 op/sec
=60*60 = seconds in an hour
so you can do 360*10^10 operation/sec
so solve for
n^2 =< 360*10*10
n^3 =< 360*10^10
2^2^n =< 360*10*10