Weighted alternating subsequence Consider a sequence of integers ai, a2, ..., &n, and each element a; is weight Wi. A maximum weighted alternating subsequence is an alternating subsequence with the sum of weight of each element being maximized. For example, the sequence [1, 6, 7, 4, 2, 3, 5] with element weights as [-3, 4, 10, 3, -6, 9, -2] will have maximum weighted alternating sequence [6,7,3] as which has weight 23, i.e., 4+10+9. Design an algorithm to find a maximum alternating subsequence given a sequence. State your algorithm in English or Pseudo code. What is the running time of your algorithm in big-Oh?

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Weighted alternating subsequence Consider a sequence of integers ai, a2, ..., &n, and each element a; is weight Wi. A maximum weighted alternating subsequence is an alternating subsequence with the sum of weight of each element being maximized. For example, the sequence [1, 6, 7, 4, 2, 3, 5] with element weights as [-3, 4, 10, 3, -6, 9, -2] will have maximum weighted alternating sequence [6,7,3] as which has weight 23, i.e., 4+10+9. Design an algorithm to find a maximum alternating subsequence given a sequence. State your algorithm in English or Pseudo code. What is the running time of your algorithm in big-Oh?

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