(c) Someone developed the following recursive formulation of a certain optimisation problem about some input array...
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(c) Someone developed the following recursive formulation of a certain optimisation problem about some input array A[0..n - 1] of size n. What this array A represents or what this optimisation problem is does not concern us here. The value to be optimised is given by a function F(i, j), defined as follows: for any i and j where i 20, jn and j>i+1, F(i, j)= F(i+1, j-1)+1 F(i+1, j) F(i, j-1) { max if A[i] = A[j] if A[i] # A[j] For example, if A[2] =A[6], then F (2, 6) = F(3,5) +1; if A[2] A[6], then F (2, 6) equals the larger of F(3,6) and F(2,5). The base cases are F(i, i) = 0 for all 0 (c) Someone developed the following recursive formulation of a certain optimisation problem about some input array A[0..n - 1] of size n. What this array A represents or what this optimisation problem is does not concern us here. The value to be optimised is given by a function F(i, j), defined as follows: for any i and j where i 20, jn and j>i+1, F(i, j)= F(i+1, j-1)+1 F(i+1, j) F(i, j-1) { max if A[i] = A[j] if A[i] # A[j] For example, if A[2] =A[6], then F (2, 6) = F(3,5) +1; if A[2] A[6], then F (2, 6) equals the larger of F(3,6) and F(2,5). The base cases are F(i, i) = 0 for all 0
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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