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Maximum Subarray

Certification: Basic Level Accuracy: 72.22% Submissions: 18 Points: 5

Write a Java program to find the contiguous subarray which has the largest sum and return its sum using Kadane's Algorithm.

Example 1
    

  • Input: nums = [-2, 1, -3, 4, -1, 2, 1, -5, 4]
    • 

  • Output: 6
    • 

  • Explanation:

      

    • Subarray [4, -1, 2, 1] has the maximum sum
      • 

    

    •
Example 2
    

  • Input: nums = [1]
    • 

  • Output: 1
    • 

  • Explanation:

      

    • Only one element — that is the maximum
      • 

    

    •
Constraints
    

  • 1 ≤ nums.length ≤ 10^5
    • 

  • -10^4 ≤ nums[i] ≤ 10^4
    • 

  • Time Complexity: O(n)
    • 

  • Space Complexity: O(1)
    •
ArraysTech MahindraPwC
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Hint
Solution

Solution Hints

    
  
  • Use Kadane's algorithm to solve this efficiently
    • 
  
  • Keep track of the current sum and the maximum sum found so far
    • 
  
  • If the current sum becomes negative, reset it to zero
    • 
  
  • Consider the edge case of all negative numbers
    • 
  
  • Iterate through the array only once
    •

Steps to solve by this approach:

 Step 1: Initialize variables currentSum and maxSum with the first element of the array.
 Step 2: Iterate through the array starting from the second element.
 Step 3: For each element, decide whether to start a new subarray or continue the previous one.
 Step 4: Update maxSum if the new currentSum is greater than the existing maxSum.
 Step 5: Return maxSum at the end of the iteration.
 Step 6: Handle edge cases like empty array or single element array.
 Step 7: The solution has O(n) time complexity and O(1) space complexity.

Submitted Code :