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GATE | GATE CS 2010 | Question 65
The weight of a sequence a0, a1, ..., an-1 of real numbers is defined as a0+a1/2+...+ aa-1/2n-1. A subsequence of a sequence is obtained by deleting some elements from the sequence, keeping the order of the remaining elements the same. Let X denote the maximum possible weight of a subsequence of a0, a1, ...,an-1 and Y the maximum possible weight of a subsequence of a1, a2, ...,an-1. Then X is equal to
(A)
max(Y, a0+Y)
(B)
max(Y, a0+Y/2)
(C)
max(Y, a0+2Y)
(D)
a0+Y/2
Answer
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