Algo exercise

May 8th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

Analysis and Design of Algorithms

Word Count: 732
Showing Page: 1/6
Algo exerciseAnalysis and Design of Algorithms1. Compute the following sums:a. Answer:= = u 1 + 1 = (n + 1) 3 + 1= n + 1 2= n - 1b. Answer:= = [1 + 2] + + n= + (n + 1) (1 + 2)= + (n + 1) 3= + n 2= n(n + 1) + (n - 2)2= n2 + n + (n - 2)2= n2 + 3n 42c. Answer:= = = n (n+1) (2n + 1) + n (n+1)6 2= (n - 1) (n -1 + 1) (2 ( n 1) +1) + (n - 1) (n 1 + 1) 6 2 = (n - 1) (n) (2n 2 + 1) + (n 1) (n)6 2= (n2 - n) (2n 1) + (n 1) (n)6 2= (n3 - n2 - 2n2 + n) + (n2 n)6 2= 2n3 - 3n2 + n + n2 n6 2 = 2n3 - 3n2 + n + 3n3 3n6 = 2n3 2n6 = n3 n3 = n2 13 2. Consider the following algorithm.Algorithm Mystery( n)//Input: A nonnegative integer nS 0for i 1 to n doS S + i * ireturn Sa. What does this algorithm compute?Answer:S(n) = 2b. What is its basic operation?Answer:Multiplicationc. How many times is the basic operation executed?Answer:At least one timed. What is the efficiency class of this algorithm?Answer:C(n) = n (n)e. Suggest an improvement or a better algorithm altogether and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done. Answer:2 = n (n + 1) (2n + 1)63. Consider the following algorithm.Algorithm Secret(A[0..n 1])//Input: An array A[0..n 1] of n real numbersminval A[0]; maxval A[0]for i 1 to n 1 doif A[i] < minvalminval A[i]

Review from student

Studypool Student
" Wow this is really good.... didn't expect it. Sweet!!!! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1821 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors