Analyze its runtime complexity and express it as a function U(N) of the total number N:= m+n of input characters. You can assume for simplicity that m²n=N/2.
Analyze its runtime complexity and express it as a function U(N) of the total number N:= m+n of input characters. You can assume for simplicity that m²n=N/2.
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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![Now consider the so-called Wagner-Fischer algorithm for computing the
Levenshtein distance:
WF (a[1...m), b[1...n])
Let D(0...m][0...n] be matrix of zeros
For i in (1...m] do
D[i] [0] = i
End For
For j in [1...n] do
D[0] [j] - j
End For
For i in (1...m] do
For j in [1...n] do
4
If ali] = b[j] Then
D[i] [j]
D[i-1] [j-1]
Else
D[i] [j] = min(D[i-1] [j],
D[i][j-1],
D[i-1] [j-1]) + 1
End If
End For
End For
Return D[m] [n]
End WF.
13.
Analyze its runtime complexity and express it as a function U(N)
of the total number N:= m+n of input characters. You can assume for
simplicity that m=nzN/2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb65cbd0-2a30-4257-9c23-6352ed591fe5%2Feb42e6fe-904d-497e-bd28-dec160943af7%2Fjliay5f_processed.png&w=3840&q=75)
Transcribed Image Text:Now consider the so-called Wagner-Fischer algorithm for computing the
Levenshtein distance:
WF (a[1...m), b[1...n])
Let D(0...m][0...n] be matrix of zeros
For i in (1...m] do
D[i] [0] = i
End For
For j in [1...n] do
D[0] [j] - j
End For
For i in (1...m] do
For j in [1...n] do
4
If ali] = b[j] Then
D[i] [j]
D[i-1] [j-1]
Else
D[i] [j] = min(D[i-1] [j],
D[i][j-1],
D[i-1] [j-1]) + 1
End If
End For
End For
Return D[m] [n]
End WF.
13.
Analyze its runtime complexity and express it as a function U(N)
of the total number N:= m+n of input characters. You can assume for
simplicity that m=nzN/2.
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