Use the substitution method to prove the running time of the followi.pdf

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Use the substitution method to prove the running time of the following recurrence is O(n^3) Use the substitution method to prove the running time of the following recurrence is O(n^3). T(n) = 2T(n/2) + n^3 Solution solution T(n)=2T(n/2)+n^3 we will compare it with T(n)=aT(n/b)+f(n) so we get, a=2, b=2, f(n)= n^3 As per Master Theorem we have, T(n)= O(n^3).

Use the substitution method to prove the running time of the following recurrence is O(n^3) Use
the substitution method to prove the running time of the following recurrence is O(n^3). T(n) =
2T(n/2) + n^3
Solution
solution
T(n)=2T(n/2)+n^3
we will compare it with T(n)=aT(n/b)+f(n)
so we get, a=2, b=2, f(n)= n^3
As per Master Theorem we have,
T(n)= O(n^3)

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Use the substitution method to prove the running time of the followi.pdf

1. Use the substitution method to prove the running time of the following recurrence is O(n^3) Use the substitution method to prove the running time of the following recurrence is O(n^3). T(n) = 2T(n/2) + n^3 Solution solution T(n)=2T(n/2)+n^3 we will compare it with T(n)=aT(n/b)+f(n) so we get, a=2, b=2, f(n)= n^3 As per Master Theorem we have, T(n)= O(n^3)