Question: 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

 5. In this modified version of the longest increasing subsequence algorithm,

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 ton if A[i] D[i] D[i] = D[j] + 1 Print D[i] L = 0 for i = 1 ton 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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