5. In this modified version of the longest increasing subsequence algorithm, we use D[i] to store the length of the longest increasing subsequence beginning with A[i]. Will the algorithm find the length of the longest increasing subsequence correctly?

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5. In this modified version of the longest increasing subsequence algorithm, we use D[i] to store the
length of the longest increasing subsequence beginning with A[i]. Will the algorithm find the length
of the longest increasing subsequence correctly?
LONGEST-SUBSEQUENCE (A)
n = A.length
Let D[1.. n] be a new array
D[n] = 1
for i = n- 1 downto 1
D[i] = 1
for j = i+1 to n
if A[i] < A[j] and D[j] + 1 > D[i]
D[i) = D[j] + 1
%3D
Print D[i]
L = 0
for i = 1 to n
if D[i] > L
L = D[i]
Print L
For the following array: A[1] = 7, A[2] = 18, A[3] = 11, A[4] = 4, A[5] = 12, what will be the output of the
algorithm?
Transcribed Image Text:5. In this modified version of the longest increasing subsequence algorithm, we use D[i] to store the length of the longest increasing subsequence beginning with A[i]. Will the algorithm find the length of the longest increasing subsequence correctly? LONGEST-SUBSEQUENCE (A) n = A.length Let D[1.. n] be a new array D[n] = 1 for i = n- 1 downto 1 D[i] = 1 for j = i+1 to n if A[i] < A[j] and D[j] + 1 > D[i] D[i) = D[j] + 1 %3D Print D[i] L = 0 for i = 1 to n if D[i] > L L = D[i] Print L For the following array: A[1] = 7, A[2] = 18, A[3] = 11, A[4] = 4, A[5] = 12, what will be the output of the algorithm?
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