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1. In the maximum subarray problem, where the input is an array of length n, give a condition under which the output of the FIND-MAXIMUM-SUBARRAY
1. In the maximum subarray problem, where the input is an array of length n, give a condition under which the output of the FIND-MAXIMUM-SUBARRAY algorithm is ( i, i+1, sum ) for some index "i" and a positive value "sum".
2. Suppose that in the maximum subarray problem the input is an array such that the values A[ i ] alternate between positive and negative (say, A[ 1 ] > 0, A[ 2 ] 0, A[ 4 ]
(i) ( i, i, sum )
(ii) ( i, i+1, sum )
(iii) ( i, i+2, sum )
for some index i and positive value sum?
Argue why or why not.
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