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Linear-time maximum sum sub-array with maximum length Test | Pre-employment assessment - Testlify
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Linear-time maximum sum sub-array with maximum length Test

Overview of Linear-time maximum sum sub-array with maximum length 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.

Skills measured

  • Time complexity management

Available in



Coding Test


30 Mins





Use of Linear-time maximum sum sub-array with maximum length 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.

Relevant for

  • Software Engineers
  • Programmers
  • Software Programmer

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Time complexity management

Time complexity management in linear-time maximum sum sub-array with maximum length is crucial for optimizing the efficiency of the algorithm. By carefully analyzing the time complexity of each step in the algorithm, we can identify areas where improvements can be made to reduce the overall runtime. This skill involves identifying redundant operations, simplifying computations, and utilizing data structures efficiently. By effectively managing time complexity, we can ensure that the algorithm runs quickly and effectively, making it suitable for large-scale data processing tasks.

The Linear-time maximum sum sub-array with maximum length test is created by a subject-matter expert

Testlify’s skill tests are designed by experienced SMEs (subject matter experts). We evaluate these experts based on specific metrics such as expertise, capability, and their market reputation. Prior to being published, each skill test is peer-reviewed by other experts and then calibrated based on insights derived from a significant number of test-takers who are well-versed in that skill area. Our inherent feedback systems and built-in algorithms enable our SMEs to refine our tests continually.

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