DSAAGP12 - Editorial

editorial
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Problem Link - Maximum Subarray Sum in Arrays

Problem Statement:

Given an integer array nums, find the subarray with the largest sum, and print its sum.
Note: A subarray is a contiguous non-empty sequence of elements within an array.

Approach:

We will check for every possible subarray:

  • Iterate over all possible starting indices of the subarray.
  • For each starting index, iterate over all possible ending indices (greater than or equal to the starting index).
  • Calculate the sum of elements between the starting and ending index (inclusive).
  • Keep track of the maximum sum encountered during this process.

Complexity:

  • Time Complexity: O(N^3) For each testcase there are (N*(N+1))/2. subarrays. This will result in O(N^2) time complexity. For each subarray, calculating the sum takes O(N) in the worst case.

  • Space Complexity: O(1) No extra space used.