Solving the Max Subarray Problem via Divide-and-conquer
Description In this lab assignment, your job is to implement the O(n log n) time divide- and-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[1 · · · n] 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[2 · · · 5]. 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.
