Consider the algorithm DoSomething below: Algorithm DoSomething (A, n) Input: Array A of integer containing n...
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Consider the algorithm DoSomething below: Algorithm DoSomething (A, n) Input: Array A of integer containing n elements Output: Array $ of integer containing n elements 1. for i=0 to n-1 do 2. 3. end for 4. for i=0 to n-2 do 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Var[i]=0 for j=i+1 to n-1 do if A[i]<A[j] then Var[j] = Var[j] +1 else Var[i]= Var[i]+1 end if end for end for for i=0 to n-1 do S[Var[i]]= A[i] end for Return S a) What is the big-O (O(n)) and big-Omega (2(n)) time complexity for algorithm DoSomething in terms of n? Show all necessary steps. b) Trace (hand-run) DoSomething for an array A = (60,35,81,98,14,47). What is the resulting A? c) What does DoSomething do? Explain that clearly and briefly given any arbitrary array A of n integers? d) Can the runtime of DoSomething be improved easily? Explain how (i.e., re-write another solution(s) that does exactly what DoSomething is doing more efficiently)? e) Can the space complexity of DoSomething be improved? Explain how? Consider the algorithm DoSomething below: Algorithm DoSomething (A, n) Input: Array A of integer containing n elements Output: Array $ of integer containing n elements 1. for i=0 to n-1 do 2. 3. end for 4. for i=0 to n-2 do 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Var[i]=0 for j=i+1 to n-1 do if A[i]<A[j] then Var[j] = Var[j] +1 else Var[i]= Var[i]+1 end if end for end for for i=0 to n-1 do S[Var[i]]= A[i] end for Return S a) What is the big-O (O(n)) and big-Omega (2(n)) time complexity for algorithm DoSomething in terms of n? Show all necessary steps. b) Trace (hand-run) DoSomething for an array A = (60,35,81,98,14,47). What is the resulting A? c) What does DoSomething do? Explain that clearly and briefly given any arbitrary array A of n integers? d) Can the runtime of DoSomething be improved easily? Explain how (i.e., re-write another solution(s) that does exactly what DoSomething is doing more efficiently)? e) Can the space complexity of DoSomething be improved? Explain how? Consider the algorithm DoSomething below: Algorithm DoSomething (A, n) Input: Array A of integer containing n elements Output: Array $ of integer containing n elements 1. for i=0 to n-1 do 2. 3. end for 4. for i=0 to n-2 do 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Var[i]=0 for j=i+1 to n-1 do if A[i]<A[j] then Var[j] = Var[j] +1 else Var[i]= Var[i]+1 end if end for end for for i=0 to n-1 do S[Var[i]]= A[i] end for Return S a) What is the big-O (O(n)) and big-Omega (2(n)) time complexity for algorithm DoSomething in terms of n? Show all necessary steps. b) Trace (hand-run) DoSomething for an array A = (60,35,81,98,14,47). What is the resulting A? c) What does DoSomething do? Explain that clearly and briefly given any arbitrary array A of n integers? d) Can the runtime of DoSomething be improved easily? Explain how (i.e., re-write another solution(s) that does exactly what DoSomething is doing more efficiently)? e) Can the space complexity of DoSomething be improved? Explain how? Consider the algorithm DoSomething below: Algorithm DoSomething (A, n) Input: Array A of integer containing n elements Output: Array $ of integer containing n elements 1. for i=0 to n-1 do 2. 3. end for 4. for i=0 to n-2 do 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Var[i]=0 for j=i+1 to n-1 do if A[i]<A[j] then Var[j] = Var[j] +1 else Var[i]= Var[i]+1 end if end for end for for i=0 to n-1 do S[Var[i]]= A[i] end for Return S a) What is the big-O (O(n)) and big-Omega (2(n)) time complexity for algorithm DoSomething in terms of n? Show all necessary steps. b) Trace (hand-run) DoSomething for an array A = (60,35,81,98,14,47). What is the resulting A? c) What does DoSomething do? Explain that clearly and briefly given any arbitrary array A of n integers? d) Can the runtime of DoSomething be improved easily? Explain how (i.e., re-write another solution(s) that does exactly what DoSomething is doing more efficiently)? e) Can the space complexity of DoSomething be improved? Explain how?
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a Lets analyze the time complexity of the given algorithm DoSomething The first loop from lines 1 to ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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