mediumArraysPattern: Merge Sort / Quick Sort
Balanced Subarray Length Solution
Problem Statement
Given a sorted array of integers `weights`, find the length of the longest subarray that can be divided into two halves with equal sums.
Examples
Example 1:
Input:{"weights":[1,2,3,4,5]}
Output:0
Explanation: There is no subarray with equal total weight in both halves in the example [1,2,3,4,5]
Example 2:
Input:{"weights":[10,20,30,40,50]}
Output:0
Explanation: There is no subarray with equal total weight in both halves in the example [10,20,30,40,50]
Constraints
- Array length is between 1 and 1000
- All elements in the array are integers between 1 and 1000
Time: O(n log n) Space: O(n)
The optimized approach uses a prefix sum array to efficiently calculate the sum of any subarray, reducing the time complexity to O(n log n) or O(n) using a sliding window technique or hash map. This approach involves iterating over the array and checking if any subarray can be divided into two equal halves.
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