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Extra Credit: You are given a sequence of n numbers xi, ..., Tn. Create a dynamic programming algorithm to find the maximum alternating sum of
Extra Credit: You are given a sequence of n numbers xi, ..., Tn. Create a dynamic programming algorithm to find the maximum alternating sum of a contiguous subsequence within this sequence. An alternating sum of a 2 sequence xj,..., Tk is defined as xj -xj+1 + xj+2- 2j+3 + xj+-4 and k reflect indices within the original sequence. Note that you do not have flexibility in determining which terms are added and which are subtracted: the first, third, etc. terms in the subsequence are always added, and the others are subtracted. Your algorithm does not have to output the best sub- sequence: just its sum Extra Credit: You are given a sequence of n numbers xi, ..., Tn. Create a dynamic programming algorithm to find the maximum alternating sum of a contiguous subsequence within this sequence. An alternating sum of a 2 sequence xj,..., Tk is defined as xj -xj+1 + xj+2- 2j+3 + xj+-4 and k reflect indices within the original sequence. Note that you do not have flexibility in determining which terms are added and which are subtracted: the first, third, etc. terms in the subsequence are always added, and the others are subtracted. Your algorithm does not have to output the best sub- sequence: just its sum
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