![Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do if A[i]A[i+1] > A[i+2) then return i it i+1 return -1](http://img.homeworklib.com/questions/053b3e70-0728-11eb-b194-733338c47dfe.png?x-oss-process=image/resize,w_560)
Using the pseudocode answer these questions
![4. Calculate how many times the comparison A[i]A[i+1] > A[i+2] is done for a worst-case input of size n. Show your work. 5. C](http://img.homeworklib.com/questions/05a43ba0-0728-11eb-b414-170166b26d29.png?x-oss-process=image/resize,w_560)
Homework Answers
in the given code, we can see that i iterates from 0 to n-1 which is n-2 times
in all these n-2 times, the given condition might not be satisfied and finally, we return -1
so in the worst case, we make n-2 comparisons
In the best case, the comparison is done only 1 time
that is when A[0]A[1]> A[2]
we will return 0 in the best case as the value of i =0
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Using the pseudocode answer these questions
Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do...
Using the pseudocode answer these questions Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do...
Using the pseudocode answer these questions
Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do if A[i]A[i+1] > A[i+2) then return i it i+1 return -1 6. Use limits to show that, for best case inputs, the asymptotic growth of the number of comparisons is (1). Show your work. 7. Use limits to show that, for worst case inputs, the asymptotic growth of the number of comparisons is O(n). Show your work.
Using the pseudocode answer these questions Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do...
Using the pseudocode answer these questions
Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do if A[i]A[i+1] > A[i+2) then return i it i+1 return -1 1. Describe what it does and compute what value is returned when the input is the list {1, 2, 3, 4, 5}. (Hint: We're using 0-based array indexing, so 0 would represent the index of the first element, 1 the second element, etc.) 2. Identify and describe the worst-case input. 3. Identify and...
Here is a recursive algorithm that answers the same question as posed on Group HW3, finding...
Here is a recursive algorithm that answers the same question as posed on Group HW3, finding the number of people who are taller than everyone before them in line. NumCanSeeRec(a1,... , an : list of n 2 1 distinct heights) (a) ifn -1 then (b return 1 (c) c= ŅumCanSeeRee(a1, , an-1) d) for i:- 1 ton- 1 (e) if a, an then return c (g) return c+1 Answer the following questions about this algorithm. Please show your work. (a)...
(V). Given the following algorithm, answer relevant questions. Algorithm 1 An algorithm 1: procedure WHATISTHIS(21,22,...,n: a...
(V). Given the following algorithm, answer relevant questions. Algorithm 1 An algorithm 1: procedure WHATISTHIS(21,22,...,n: a list of n integers) for i = 2 to n do c= j=i-1 while (j > 0) do if ra; then break end if 4j+1 = a; j= j-1 end while j+1 = 1 end for 14: return 0.02. 1, 15: end procedure Answer the following questions: (1) Run the algorithm with input (41, 02, 03, 04) = (3, 0, 1,6). Record the values...
Question 1. (1 marks) The following procedure has an input array A[1..n] with n > 2...
Question 1. (1 marks) The following procedure has an input array A[1..n] with n > 2 arbitrary integers. In the pseudo-code, "return” means immediately erit the procedure and then halt. Note that the indices of array A starts at 1. NOTHING(A) 1 n = A. size 2 for i = 1 ton // i=1,2,..., n (including n) 3 for j = 1 ton // j = 1,2,...,n (including n) 4. if A[n - j +1] + j then return 5...
FOR ALGORITHM A WORST CASE TIME COMPLEXITY IS DESCRIBED BY RECURRENCE FORMULA T(n)= n/ T (n...
FOR ALGORITHM A WORST CASE TIME COMPLEXITY IS DESCRIBED BY RECURRENCE FORMULA T(n)= n/ T (n )thi T (c)=1 if c < 100 FOR ALGORITHM B WORST TIME COMPLEXITY IS DESCRIBED BY RECURRENCE FORMULA T(n) = 2T (2/2) + n/logn ; (c) = 1 fc 2100 WHICH ALGORITHM IS ASYMPTOTICALLY FASTER? WHY?
Given the following algorithm: Algorithnm Input: a1, a2,...,an, a sequence of numbers n, the length of the sequence x, a number Output: ?? i:- 1 While (x2 # a, and i < n) i+1 End-while If (x- - a)...
Given the following algorithm:
Algorithnm Input: a1, a2,...,an, a sequence of numbers n, the length of the sequence x, a number Output: ?? i:- 1 While (x2 # a, and i < n) i+1 End-while If (x- - a) Return(i) Return(-1) 3, -1, 2,9, 36,-7, 6,4 a) What is the correct output of the Algorithm with the following input: a1, a2,..an b) What is the asymptotic worst-case time complexity of the Algorithm?
Algorithnm Input: a1, a2,...,an, a sequence of numbers...
(b) Consider the following algorithm for (i = n; i >-1; i i/2) for j in...
(b) Consider the following algorithm for (i = n; i >-1; i i/2) for j in range [1, i] Constant Number of Operations Derive the run time of the above algorithm (as a function of n). You must formally derive the run-times (merely stating run times or high level explanation of run time do not suffice)
Solve ques no. 2 a, b, c, d . Algorithm 1 Sort a list al,..., an...
Solve ques no. 2 a, b, c, d .
Algorithm 1 Sort a list al,..., an for i=1 to n-1 do for j=1 to n-i do if aj > aj+1 then interchange a; and a;+1 end if end for end for (b) Algorithm 1 describes a sorting algorithm called bubble sort for a list al,...,an of at least two numbers. Prove that the algorithm is complete, correct and terminates. (2) Complexity of Algorithms (Learning Target C2) (a) What is the...
a. Write a pseudocode for computing for any positive integer n Besides assignment and comparison, your...
a. Write a pseudocode for computing for any positive integer n Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations. What is the time efficiency of your algorithm for the worst and best cases? Justify your answer. (The basic operation must be identified explicitly). Give one instance for the worst case and one instance for the best case respectively if there is any difference between the worst case and best case. Otherwise please indicate that...
Using the pseudocode answer these questions
Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do if A[i]A[i+1] > A[i+2) then return i it i+1 return -1 6. Use limits to show that, for best case inputs, the asymptotic growth of the number of comparisons is (1). Show your work. 7. Use limits to show that, for worst case inputs, the asymptotic growth of the number of comparisons is O(n). Show your work.
Using the pseudocode answer these questions
Algorithm 1 CS317FinalAlgorithm (A[O..n-1]) ito while i<n - 2 do if A[i]A[i+1] > A[i+2) then return i it i+1 return -1 1. Describe what it does and compute what value is returned when the input is the list {1, 2, 3, 4, 5}. (Hint: We're using 0-based array indexing, so 0 would represent the index of the first element, 1 the second element, etc.) 2. Identify and describe the worst-case input. 3. Identify and...
Here is a recursive algorithm that answers the same question as posed on Group HW3, finding the number of people who are taller than everyone before them in line. NumCanSeeRec(a1,... , an : list of n 2 1 distinct heights) (a) ifn -1 then (b return 1 (c) c= ŅumCanSeeRee(a1, , an-1) d) for i:- 1 ton- 1 (e) if a, an then return c (g) return c+1 Answer the following questions about this algorithm. Please show your work. (a)...
(V). Given the following algorithm, answer relevant questions. Algorithm 1 An algorithm 1: procedure WHATISTHIS(21,22,...,n: a list of n integers) for i = 2 to n do c= j=i-1 while (j > 0) do if ra; then break end if 4j+1 = a; j= j-1 end while j+1 = 1 end for 14: return 0.02. 1, 15: end procedure Answer the following questions: (1) Run the algorithm with input (41, 02, 03, 04) = (3, 0, 1,6). Record the values...
Question 1. (1 marks) The following procedure has an input array A[1..n] with n > 2 arbitrary integers. In the pseudo-code, "return” means immediately erit the procedure and then halt. Note that the indices of array A starts at 1. NOTHING(A) 1 n = A. size 2 for i = 1 ton // i=1,2,..., n (including n) 3 for j = 1 ton // j = 1,2,...,n (including n) 4. if A[n - j +1] + j then return 5...
FOR ALGORITHM A WORST CASE TIME COMPLEXITY IS DESCRIBED BY RECURRENCE FORMULA T(n)= n/ T (n )thi T (c)=1 if c < 100 FOR ALGORITHM B WORST TIME COMPLEXITY IS DESCRIBED BY RECURRENCE FORMULA T(n) = 2T (2/2) + n/logn ; (c) = 1 fc 2100 WHICH ALGORITHM IS ASYMPTOTICALLY FASTER? WHY?
Given the following algorithm:
Algorithnm Input: a1, a2,...,an, a sequence of numbers n, the length of the sequence x, a number Output: ?? i:- 1 While (x2 # a, and i < n) i+1 End-while If (x- - a) Return(i) Return(-1) 3, -1, 2,9, 36,-7, 6,4 a) What is the correct output of the Algorithm with the following input: a1, a2,..an b) What is the asymptotic worst-case time complexity of the Algorithm?
Algorithnm Input: a1, a2,...,an, a sequence of numbers...
(b) Consider the following algorithm for (i = n; i >-1; i i/2) for j in range [1, i] Constant Number of Operations Derive the run time of the above algorithm (as a function of n). You must formally derive the run-times (merely stating run times or high level explanation of run time do not suffice)
Solve ques no. 2 a, b, c, d .
Algorithm 1 Sort a list al,..., an for i=1 to n-1 do for j=1 to n-i do if aj > aj+1 then interchange a; and a;+1 end if end for end for (b) Algorithm 1 describes a sorting algorithm called bubble sort for a list al,...,an of at least two numbers. Prove that the algorithm is complete, correct and terminates. (2) Complexity of Algorithms (Learning Target C2) (a) What is the...
a. Write a pseudocode for computing for any positive integer n Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations. What is the time efficiency of your algorithm for the worst and best cases? Justify your answer. (The basic operation must be identified explicitly). Give one instance for the worst case and one instance for the best case respectively if there is any difference between the worst case and best case. Otherwise please indicate that...
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