Solving the Max Subarray Problem via Divide-and-conquer
Description In this lab assignment, your job is to implement the O(nlogn) time divideand-conquer algorithm for the Max Subarray Problem; for the pseudo-code, see page 72 in the textbook or the lecture slides. Recall that in the problem, we are given as input an array A[1n] of n integers, and would like to find i and j (1 i j n) such that A[i] + A[i + 1] + + A[j] is maximized.
Input structure The input starts with an integer number n, which indicates the array size. Then, the integers, A[1],A[2],,A[n], follow, one per line.
Output structure Output the sum of integers in the max subarray, i.e., A[i] + A[i + 1] + + A[j].
Examples of input and output:
Input
6
-3 11
-2 -3
10
-5 Output
16
Note that in this example, the max subarray is A[25]. So, we output A[i] + + A[j] = 11 2 3 + 10 = 16. The output is only one number and has no white space.
See the lab guidelines for submission/grading, etc., which can be found in Files/Labs.
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