Multi-Language (Coding): Maximum Sum Sub-array Test

The goal is to find a sub-array in a given array such that the sum of its elements is maximized and, additionally, the length of the sub-array is maximized. This problem can be solved using a linear-time algorithm.

Available in

  • English

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1 Skills measured

  • Time complexity management

Test Type

Coding Test

Duration

30 mins

Level

Intermediate

Questions

1

Use of Multi-Language (Coding): Maximum Sum Sub-array Test

The approach is to maintain two pointers, one at the start of the current sub-array and one at the end. The sum of elements between these two pointers is computed, and if it is positive, the end pointer is moved to the right. If the sum becomes negative, the start pointer is moved to the right until the sum is positive again. The process is repeated until the end pointer reaches the end of the array.

The sub-array with the maximum sum and maximum length is the sub-array between the start and end pointers that gives the maximum sum. This algorithm has a time complexity of O(n), where n is the length of the input array, making it an efficient solution for large arrays.

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