mediumTwo PointersPattern: Mixed

Optimal Array Partition Solution

Problem Statement

You are given an array of integers `weights` of length `n`, representing the weights of different items. Determine the optimal partition point `i` that minimizes the absolute difference between the sum of weights in the left partition (`0` to `i-1`) and the sum of weights in the right partition (`i` to `n-1`), such that the total number of elements in the two partitions is equal.

Constraints

  • 2 <= number of containers <= 100
  • 1 <= weight of each container <= 1000
Time: O(n) Space: O(1)
The optimal approach involves using a two-pointer technique to find the optimal partition point in linear time, resulting in a time complexity of O(n). This approach iterates over the array of weights, maintaining a running sum of the weights on the left and right sides of the partition point.

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