LeetCode 2817: Minimum Absolute Difference Between Elements With Constraint Solution

Master LeetCode problem 2817 (Minimum Absolute Difference Between Elements With Constraint), 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.

2817. Minimum Absolute Difference Between Elements With Constraint

Medium

Array Binary Search Ordered Set

Problem Explanation

Explanation

To solve this problem, we can iterate through the array nums and keep track of the minimum absolute difference between elements that are at least x indices apart. We can achieve this by maintaining a sliding window of size x and updating the minimum absolute difference as we move along the array.

Initialize minDiff to a large value.
Iterate through the array from index 0 to n-x-1, where n is the length of the array.
For each index i, calculate the absolute difference between nums[i] and nums[i+x].
Update minDiff if the calculated absolute difference is smaller than the current minDiff.
Return the final minDiff.

Time Complexity: O(n) Space Complexity: O(1)

Solution Code

class Solution {
    public int minDifference(int[] nums, int x) {
        Arrays.sort(nums);
        int n = nums.length;
        int minDiff = Integer.MAX_VALUE;

        for (int i = 0; i < n - x; i++) {
            minDiff = Math.min(minDiff, nums[i + x] - nums[i]);
        }

        return minDiff;
    }
}

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