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LeetCode 3107: Minimum Operations to Make Median of Array Equal to K Solution

Master LeetCode problem 3107 (Minimum Operations to Make Median of Array Equal to K), 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.

3107. Minimum Operations to Make Median of Array Equal to K

Medium
ArrayGreedySorting

Problem Explanation

Explanation:

To find the minimum number of operations needed to make the median of the array equal to k, we can follow the steps below:

  1. Sort the array nums.
  2. Calculate the median of the sorted array.
  3. Iterate over the elements of the array until we reach the median. For each element:
    • If the element is less than k, we need to increase it to k.
    • If the element is greater than k, we need to decrease it to k.
  4. Keep track of the number of operations needed to make each element equal to k.
  5. The total number of operations will be the sum of operations needed for each element.

The time complexity of this approach is O(n log n) due to sorting the array, where n is the length of the input array. The space complexity is O(1) as we are not using any extra space other than a few variables.

:

Solution Code

import java.util.Arrays;

class Solution {
    public int minOperations(int[] nums, int k) {
        Arrays.sort(nums);
        int median = nums[nums.length / 2];
        int operations = 0;

        for (int i = 0; i < nums.length / 2; i++) {
            if (nums[i] < k) {
                operations += k - nums[i];
            }
        }

        for (int i = nums.length / 2; i < nums.length; i++) {
            if (nums[i] > k) {
                operations += nums[i] - k;
            }
        }

        return operations;
    }
}

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