Question

In: Computer Science

Solve the following recurrences by assuming T(n) is constant for sufficiently small values of n and...

Solve the following recurrences by assuming T(n) is constant for sufficiently small values of n and find time complexity

?(?) = ?(? − 1) + ? (?/2) + ?

?(?) = 4? (?/3) + ???(?)

?(?)=?(?−2)+ 1/ lg(?)

Solutions

Expert Solution

page (1)

page(2)

page(3)

page(4)

page(5)

page(6)

venereology answered 1 year ago
Next > < Previous

Related Solutions

Give asymptotic tight bounds for T(n) in each of the following recurrences using recursion tree. a....
Give asymptotic tight bounds for T(n) in each of the following recurrences using recursion tree. a. T(n) = 2T(n − 1) + 1 b. T(n) = t(n − 1) + n c. T(n) = 2T (n/4) + √n
Use the substitution method to prove the solutions for the following recurrences: Recurrence Solution 1 T(n)...
Use the substitution method to prove the solutions for the following recurrences: Recurrence Solution 1 T(n) = T(n-1) + n O(n­2) 2 T(n) = T(n/2) + 1 O(lgn) 3 T(n) = T(n/2) + n ϴ(nlgn) 4 T(n) = 3T(n/2) + n O(nlg(3)). 5 T(n) = 2T(n/2) + n2 O(n­2) 6 T(n) = 4T(n/2 + 2) + n O(n­2) 7 T(n) = 2T(n – 1) + 1 O(2n) 8 T(n) = T(n – 1) + T(n/2) + n O(2n) 9 T(n)...
- Solve the following recurrence relation : T(n) = T(αn) + T((1 − α)n) + n
- Solve the following recurrence relation : T(n) = T(αn) + T((1 − α)n) + n
What are the critical values of t for each of the following values of N and...
What are the critical values of t for each of the following values of N and alpha using a nondirectional hypothesis? N   a a. 12 0.05 b. 20 0.01 c. 2 0.05 d. 5 0.02 e. 19 0.01 Now using a directional hypothesis? N    a f. 13 0.025 g. 17 0.005 h. 8 0.05 i. 15 0.01 j. 10 0.05
6. Solve the following recurrence relations t(n) = t(n-1) + 3 for n>1 t(1) = 0...
6. Solve the following recurrence relations t(n) = t(n-1) + 3 for n>1 t(1) = 0 t(n) = t(n-1) + n   for n>1 t(1) = 1 t(n) = 3t(n/2) + n    for n>1, n is a power of 2 t(1) = ½ t(n) = 6t(n-1) – 9t(n-2)   for n>1 t(0) = 0 t(1) = 1
Solve for the new pressure in each of the following, with n and V constant: aA...
Solve for the new pressure in each of the following, with n and V constant: aA gas with a pressure of 1.25 atm at 60 ∘C is cooled to -24 ∘C. b. A sample of N2 with a pressure of 760 mmHg at -70 ∘C is heated to 34 ∘C.
Give asymptotic upper and lower bounds for T(n). Assume that T(n) is constant for n <=...
Give asymptotic upper and lower bounds for T(n). Assume that T(n) is constant for n <= 2. Make your bounds as tight as possible, and justify your answers. T(n) = T(n-2) + n^2
Introduction to Algorithms - Analysis of Algorithms Solve the following recurrence relation: T(n) = T(an) +...
Introduction to Algorithms - Analysis of Algorithms Solve the following recurrence relation: T(n) = T(an) + T((1 - a)n) + n
Solve the recurrence equations by Substitution a) T(n) = 4T (n/2) + n, T (1) =...
Solve the recurrence equations by Substitution a) T(n) = 4T (n/2) + n, T (1) = 1 b) T(n) = 4T (n/2) + n2 , T (1) = 1 c) T(n) = 4T (n/2) + n3 , T (1) = 1
Use recursion tree to solve the recurrence: T(n) = T(n/15) + T(n/10) + 2T(n/6) + n^(1/2)
Use recursion tree to solve the recurrence: T(n) = T(n/15) + T(n/10) + 2T(n/6) + n^(1/2)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT