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Consider the Algorithm given below in the image What is the Invariant of Algorithm? Analyze Algorithm by finding T(n) the running time of Algorithm on an input of n values. What is the best-case running time and the worst-case running time?

Consider the Algorithm given below in the image What is the Invariant of Algorithm? Analyze Algorithm by finding T(n) the running time of Algorithm on an input of n values. What is the best-case running time and the worst-case running time?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider the Algorithm given below in the image

  1. What is the Invariant of Algorithm?
  2. Analyze Algorithm by finding T(n) the running time of Algorithm on an input of n values.
  3. What is the best-case running time and the worst-case running time?

 

PLEASE REFER TO IMAGE BEFORE ANSWERING, ALL DATA IS PROVIDED IN IT!

Question No 1 Consider the Algorithm given below. MERGE(A, p.q. r) 1 n1 = q – p +1 2 n2 = r - 9 3 let L[1..n + 1] and R[1..n2 + 1] be new arrays 4 for i = 1 to n L[i] = A[p+i – 1] 1 to n2 R[j] = A[q + j] 8 L[n1 + 1] = 0 9 R[n2 + 1] = ∞ 5 6 for j 7 10 i = 1 11 j = 1 12 for k = p to r if L[i] < R[j] A[k] = L[i] i = i +1 else A[k] = R[j] j = j +1 1. What is the Invariant of Algorithm? 13 14 15 16 17 2. Analyze Algorithm by finding T(n) the running time of Algorithm on an input of n values. 3. What is the best-case running time? 4. What is the worst-case running time?
Transcribed Image Text:Question No 1 Consider the Algorithm given below. MERGE(A, p.q. r) 1 n1 = q – p +1 2 n2 = r - 9 3 let L[1..n + 1] and R[1..n2 + 1] be new arrays 4 for i = 1 to n L[i] = A[p+i – 1] 1 to n2 R[j] = A[q + j] 8 L[n1 + 1] = 0 9 R[n2 + 1] = ∞ 5 6 for j 7 10 i = 1 11 j = 1 12 for k = p to r if L[i] < R[j] A[k] = L[i] i = i +1 else A[k] = R[j] j = j +1 1. What is the Invariant of Algorithm? 13 14 15 16 17 2. Analyze Algorithm by finding T(n) the running time of Algorithm on an input of n values. 3. What is the best-case running time? 4. What is the worst-case running time?
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