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CS algorithms Use the following ideas to develop a nonrecursive, linear-time alg

ID: 3884240 • Letter: C

Question

CS algorithms

Use the following ideas to develop a nonrecursive, linear-time algorithm for the maximum-subarray problem. Start at the left end of the array, and progress toward the right, keeping track of the maximum subarray seen so far. Knowing a maximum subarray of A[1..j], extend the answer to find a maximum subarray ending at index j + 1 by using the following observation: a maximum subarray of A[1..j + 1] is either a maximum subarray of A[1..j] or a subarray A[i..j + 1], for some 1 lessthanorequalto i lessthanorequalto j +1. Determine a maximum subarray of the form A[i..j + 1] in constant time based on knowing a maximum subarray ending at index j.

Explanation / Answer

initial values: maxsubarray_so_far = 0 maxsubarray_ending_here = 0 Loop for each array element: for (int i = 0; i