0
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Rafa
JordanAdd your answer:
Earn +20 pts
What is the minimum unique array sum that can be achieved?
The minimum unique array sum that can be achieved is when all elements in the array are different, resulting in the sum of the array being equal to the sum of the first n natural numbers, which is n(n1)/2.
How can it be shown that the solution of the recurrence relation t(n) t(n1) n is in O(n2)?
To show that the solution of the recurrence relation t(n) t(n-1) n is in O(n2), we can use the Master Theorem. This theorem helps analyze the time complexity of recursive algorithms. In this case, the recurrence relation can be seen as T(n) T(n-1) n, which falls under the Master Theorem's first case where a 1, b 1, and f(n) n. Since f(n) n is polynomially larger than nlogb(a) n0, the solution is in O(n2).
What is the time complexity of the algorithm represented by the recurrence relation t(n)4t(n/2)n2 logn?
The time complexity of the algorithm represented by the recurrence relation t(n) 4t(n/2) n2 logn is O(n2 log2 n).
How does the function t(n) relate to the function t(n1/2) 1?
The function t(n) relates to the function t(n1/2) 1 by taking the square root of n in the second function and adding 1 to the result.
What is the total running time of counting from 1 to n in binary?
The total running time of counting from 1 to n in binary is log(n1) steps.
