Assume a set of problems that have the following time complexities(time efficiencies):Which n-sized problem has the most time-complex algorithm?
A: O (n) B: O (nlog2n) C: O (n3) D: O (2n) E: O (nn)
Let we make a table for different value of n.
| n | O(n) | O (nlog2n) | O (n3) | O (2n) | O (nn) |
| 10 | 10 | 32.3 | 1000 | 1024 | 1010 |
| 100 | 100 | 662 | 1000000 | 2100 | 100100 |
So from given time complexities, O (nn) has the most time-complex algorithm.
Assume a set of problems that have the following time complexities(time efficiencies):Which n-sized problem has the...
a) Prove that running time T(n)=n3+30n+1 is O(n3) [1 mark] b) Prove that running time T(n)=(n+30)(n+5) is O(n2) [1 mark] c) Count the number of primitive operation of algorithm unique1 on page 174 of textbook, give a big-Oh of this algorithm and prove it. [2 mark] d) Order the following function by asymptotic growth rate [2 mark] a. 4nlogn+2n b. 210 c. 3n+100logn d. n2+10n e. n3 f. nlogn
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