LeetCode 2607: Make K-Subarray Sums Equal Solution

Master LeetCode problem 2607 (Make K-Subarray Sums Equal), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2607. Make K-Subarray Sums Equal

Medium

Array Math Greedy Sorting Number Theory

Problem Explanation

Explanation:

To solve this problem, we can follow these steps:

Calculate the target sum that each subarray of length k should have.
Initialize a prefix sum array to keep track of the cumulative sum of the elements.
Iterate through the array and determine the operations required to adjust each subarray sum to the target sum.
Update the array by applying the required operations to achieve the target subarray sums.
Count the total number of operations needed.

Time complexity: O(n) Space complexity: O(n)

Solution Code

class Solution {
    public int minOperations(int[] arr, int k) {
        int n = arr.length;
        int targetSum = (n + k - 1) / k;
        int[] prefixSum = new int[2 * n + 1];
        for (int i = 0; i < 2 * n; i++) {
            prefixSum[i + 1] = prefixSum[i] + arr[i % n];
        }
        int totalOperations = Integer.MAX_VALUE;
        for (int i = 0; i < n; i++) {
            int operations = 0;
            for (int j = i + k; j < i + n; j += k) {
                int sum = prefixSum[i + n] - prefixSum[j] + prefixSum[i] - prefixSum[i + k];
                operations += Math.min(sum, (k - sum));
            }
            totalOperations = Math.min(totalOperations, operations);
        }
        return totalOperations;
    }
}

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